From db266e974e3a6921808784c0cf7ebab4f5fc209b Mon Sep 17 00:00:00 2001 From: juaristi22 Date: Sun, 8 Feb 2026 23:45:29 +0530 Subject: [PATCH 1/5] adding SSI policy reform test to wealth imputation benchmarking --- changelog_entry.yaml | 4 + microimpute/models/mdn.py | 5 + paper/imputing-from-scf-to-cps.ipynb | 585958 ++++++++++++------------ 3 files changed, 297465 insertions(+), 288502 deletions(-) diff --git a/changelog_entry.yaml b/changelog_entry.yaml index e69de29..fbef931 100644 --- a/changelog_entry.yaml +++ b/changelog_entry.yaml @@ -0,0 +1,4 @@ +- bump: patch + changes: + changed: + - imputing-from-scf-to-cps.ipynb to test SSI policy reforms with different wealth imputations. diff --git a/microimpute/models/mdn.py b/microimpute/models/mdn.py index 096e18c..53c61fe 100644 --- a/microimpute/models/mdn.py +++ b/microimpute/models/mdn.py @@ -59,6 +59,11 @@ message=".*training batches.*smaller than the logging interval.*", module="pytorch_lightning.loops.fit_loop", ) + warnings.filterwarnings( + "ignore", + message=".*have no logger configured.*", + module="pytorch_lightning.core.module", + ) # After import, also update the rank_zero_module logger from lightning_fabric.utilities.rank_zero import rank_zero_module diff --git a/paper/imputing-from-scf-to-cps.ipynb b/paper/imputing-from-scf-to-cps.ipynb index fc2a827..6cd84b2 100644 --- a/paper/imputing-from-scf-to-cps.ipynb +++ b/paper/imputing-from-scf-to-cps.ipynb @@ -38,6 +38,7 @@ "from pydantic import validate_call\n", "from tqdm import tqdm\n", "import warnings\n", + "import policyengine_us\n", "\n", "from microimpute.config import VALIDATE_CONFIG, VALID_YEARS, PLOT_CONFIG\n", "from microimpute.comparisons import *\n", @@ -60,7 +61,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "ba8f2eec", "metadata": {}, "outputs": [ @@ -68,7 +69,14 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 1/1 [00:00<00:00, 1.47it/s]\n" + "100%|██████████| 1/1 [00:03<00:00, 3.82s/it]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPI uprating factor (2022 -> 2024): 1.0558 (5.6%)\n" ] } ], @@ -288,7 +296,34 @@ "\n", "weights = [\"wgt\"]\n", "\n", - "scf_data = scf_data[predictors + imputed_variables + weights]" + "scf_data = scf_data[predictors + imputed_variables + weights]\n", + "\n", + "# Uprate SCF 2022 to 2024 to match EnhancedCPS_2024\n", + "from policyengine_core.periods import instant\n", + "from policyengine_us.system import CountryTaxBenefitSystem\n", + "\n", + "_tax_benefit_system = CountryTaxBenefitSystem()\n", + "_params = _tax_benefit_system.parameters\n", + "cpi_2022 = float(_params.gov.bls.cpi.c_cpi_u(instant(\"2022-09-01\")))\n", + "cpi_2024 = float(_params.gov.bls.cpi.c_cpi_u(instant(\"2024-09-01\")))\n", + "cpi_uprating_factor = cpi_2024 / cpi_2022\n", + "print(\n", + " f\"CPI uprating factor (2022 -> 2024): \"\n", + " f\"{cpi_uprating_factor:.4f} ({(cpi_uprating_factor - 1) * 100:.1f}%)\"\n", + ")\n", + "\n", + "# Uprate monetary variables (predictors + target)\n", + "monetary_cols = [\n", + " \"employment_income\",\n", + " \"interest_dividend_income\",\n", + " \"pension_income\",\n", + " \"networth\",\n", + "]\n", + "for col in monetary_cols:\n", + " scf_data[col] = scf_data[col] * cpi_uprating_factor\n", + "\n", + "# Age forward by 2 years (SCF 2022 -> 2024)\n", + "scf_data[\"age\"] = scf_data[\"age\"] + 2" ] }, { @@ -296,27 +331,7 @@ "execution_count": 3, "id": "64f2e87d", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "TEST_LITE == False\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/yg/xdp70k_n4qj9ph1_0lm435c00000gp/T/ipykernel_22131/1719285347.py:136: SettingWithCopyWarning: \n", - "A value is trying to be set on a copy of a slice from a DataFrame.\n", - "Try using .loc[row_indexer,col_indexer] = value instead\n", - "\n", - "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", - " cps_data[\"household_weight\"] = cps[\"household_weight\"]\n" - ] - } - ], + "outputs": [], "source": [ "import ssl\n", "import requests\n", @@ -337,34 +352,49 @@ " *args, **{**kwargs, \"verify\": False}\n", ")\n", "\n", - "from policyengine_us_data import CPS_2022\n", + "from policyengine_us_data import EnhancedCPS_2024\n", "\n", - "# cps_data = CPS_2022()\n", - "# cps = cps_data.load_dataset()\n", + "ENHANCED_CPS_PATH = str(EnhancedCPS_2024().file_path)\n", "\n", "def load_dataset(file_path):\n", - " \"\"\"Load all datasets from H5 file into a flat dictionary, ignoring table structure\"\"\"\n", + " \"\"\"Load all datasets from H5 file into a flat dictionary.\n", + "\n", + " Handles both flat format (variable -> array) and nested\n", + " time-period format (variable/year -> array) used by\n", + " EnhancedCPS datasets.\n", + " \"\"\"\n", " with h5py.File(file_path, 'r') as f:\n", " data = {}\n", - " \n", - " # Iterate through tables (groups)\n", + "\n", " for table_name in f.keys():\n", " table = f[table_name]\n", - " \n", + "\n", " if isinstance(table, h5py.Group):\n", - " # Iterate through variables in this table\n", " for var_name in table.keys():\n", " if isinstance(table[var_name], h5py.Dataset):\n", - " # Add to flat dictionary with just the variable name\n", - " data[var_name] = table[var_name][:]\n", - " \n", + " # Use the group name (variable name) as key,\n", + " # not the sub-key (year)\n", + " data[table_name] = table[var_name][:]\n", + "\n", " elif isinstance(table, h5py.Dataset):\n", - " # In case there are top-level datasets\n", " data[table_name] = table[:]\n", - " \n", + "\n", " return data\n", "\n", - "cps = load_dataset(\"/Users/movil1/Desktop/PYTHONJOBS/PolicyEngine/microimpute/CPS 2023.h5\")\n", + "cps = load_dataset(ENHANCED_CPS_PATH)\n", + "\n", + "# Drop existing net_worth — the EnhancedCPS already contains\n", + "# QRF-imputed values; we remove them so our own imputation\n", + "# comparison starts from a clean slate.\n", + "cps.pop(\"net_worth\", None)\n", + "\n", + "# In the EnhancedCPS, employment_income and self_employment_income\n", + "# are computed variables (empty groups). The actual survey data is\n", + "# stored in the _before_lsr (before labor supply response) variants.\n", + "# Without a reform, the behavioral response is 0, so these are\n", + "# equivalent to the standard employment_income values.\n", + "cps[\"employment_income\"] = cps[\"employment_income_before_lsr\"]\n", + "cps[\"self_employment_income\"] = cps[\"self_employment_income_before_lsr\"]\n", "\n", "cps_race_mapping = {\n", " 1: 1, # White only -> WHITE\n", @@ -466,9 +496,10 @@ "outputs": [], "source": [ "from policyengine_us import Microsimulation\n", + "from policyengine_us_data import EnhancedCPS_2024\n", "\n", - "sim = Microsimulation(dataset=\"/Users/movil1/Desktop/PYTHONJOBS/PolicyEngine/microimpute/CPS 2023.h5\")\n", - "net_disposable_income = sim.calculate(\"household_net_income\")" + "sim = Microsimulation(dataset=EnhancedCPS_2024)\n", + "net_disposable_income = sim.calculate(\"household_net_income\", period=2024)" ] }, { @@ -497,46048 +528,46048 @@ { "histnorm": "percent", 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Median: $384,500
Mean: $91,415

Weighted:
Median: $193,340
Mean: $32,304", - "x": 0.98, - "xanchor": "right", - "xref": "paper", - "y": 0.95, - "yanchor": "top", - "yref": "paper" - } - ], - "bargap": 0.1, - "barmode": "overlay", - "height": 600, - "legend": { - "bgcolor": "rgba(255,255,255,0.8)", - "bordercolor": "rgba(0,0,0,0.3)", - "borderwidth": 1, - "orientation": "v", - "x": 0.01, - "xanchor": "left", - "y": 0.99, - "yanchor": "top" - }, - "paper_bgcolor": "#F0F0F0", - "plot_bgcolor": "#F0F0F0", + "paper_bgcolor": "#FAFAFA", + "plot_bgcolor": "#FAFAFA", "template": { "data": { "bar": [ @@ -47358,8 +47389,11 @@ "title": { "text": "SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)" }, - "width": 900, + "width": 750, "xaxis": { + "linecolor": "#CCCCCC", + "showgrid": false, + "showline": true, "ticktext": [ "-$1,000,000", "-$10,000", @@ -47387,6 +47421,11 @@ } }, "yaxis": { + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, "title": { "text": "Percentage" } @@ -47420,6 +47459,8 @@ "scf_log = safe_log10(scf_data[\"networth\"])\n", "scf_weighted_log = safe_log10(scf_data_weighted[\"networth\"])\n", "\n", + "colors = PLOT_CONFIG[\"color_palette\"]\n", + "\n", "# Create the figure\n", "fig = go.Figure()\n", "\n", @@ -47430,8 +47471,8 @@ " nbinsx=200,\n", " opacity=0.7,\n", " name=\"SCF Unweighted\",\n", - " marker_color=\"#1f77b4\",\n", - " histnorm=\"percent\", # Normalize to percentages for better comparison\n", + " marker_color=colors[0],\n", + " histnorm=\"percent\",\n", " )\n", ")\n", "\n", @@ -47442,7 +47483,7 @@ " nbinsx=200,\n", " opacity=0.7,\n", " name=\"SCF Weighted (through sampling)\",\n", - " marker_color=\"#ff7f0e\",\n", + " marker_color=colors[1],\n", " histnorm=\"percent\",\n", " )\n", ")\n", @@ -47459,7 +47500,7 @@ " x=[unweighted_median, unweighted_median],\n", " y=[0, 8],\n", " mode=\"lines\",\n", - " line=dict(color=\"#1f77b4\", width=2, dash=\"dash\"),\n", + " line=dict(color=colors[0], width=2, dash=\"dash\"),\n", " name=f\"Unweighted Median: ${10**unweighted_median:,.0f}\",\n", " )\n", ")\n", @@ -47469,7 +47510,7 @@ " x=[weighted_median, weighted_median],\n", " y=[0, 8],\n", " mode=\"lines\",\n", - " line=dict(color=\"#ff7f0e\", width=2, dash=\"dash\"),\n", + " line=dict(color=colors[1], width=2, dash=\"dash\"),\n", " name=f\"Weighted Median: ${10**weighted_median:,.0f}\",\n", " )\n", ")\n", @@ -47477,14 +47518,12 @@ "# Update layout\n", "fig.update_layout(\n", " title=\"SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)\",\n", - " xaxis_title=\"Net Worth (log10 scale)\",\n", - " yaxis_title=\"Percentage\",\n", - " height=600,\n", - " width=900,\n", + " width=PLOT_CONFIG[\"width\"],\n", + " height=PLOT_CONFIG[\"height\"],\n", " barmode=\"overlay\",\n", " bargap=0.1,\n", - " paper_bgcolor=\"#F0F0F0\",\n", - " plot_bgcolor=\"#F0F0F0\",\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", " legend=dict(\n", " x=0.01,\n", " y=0.99,\n", @@ -47506,7 +47545,22 @@ " else:\n", " tick_labels.append(f\"-${10**abs(x):,.0f}\")\n", "\n", - "fig.update_xaxes(tickvals=tick_values, ticktext=tick_labels)\n", + "fig.update_xaxes(\n", + " tickvals=tick_values,\n", + " ticktext=tick_labels,\n", + " title_text=\"Net Worth (log10 scale)\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(\n", + " title_text=\"Percentage\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", "\n", "# Add annotations with statistics\n", "fig.add_annotation(\n", @@ -47558,10 +47612,150 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "c7a96f83", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "bde81ea58e714efe9b0a32323b247b94", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Evaluating models: 0%| | 0/5 [00:00Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.02794824158761375, + 0.02334278235521618, + 0.02038902631861425, + 0.026625274123413766, + 0.035710671646181344, + 0.02901868177644396, + 0.031564726568013006, + 0.02148140036102585, + 0.04211260871406542, + 0.02731707544871659, + 0.025351474948628678, + 0.006600503253203775, + 0.020177367683128472, + 0.029222348485903996, + 0.021306252536101036, + 0.01599803565489452, + 0.012970920566993576, + 0.015843125906076245, + 0.014003190011808463 + ] + }, + "hovertemplate": "Method=QRF
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "QRF", "marker": { - "color": "#636EFA", + "color": "#88CCEE", "pattern": { "shape": "" } @@ -47647,34 +47864,57 @@ ], "xaxis": "x", "y": [ - 0.3552963218224514, - 0.45718128475605563, - 0.541663764024037, - 0.616546079027523, - 0.6843149517828457, - 0.704450882098803, - 0.7422572783730479, - 0.7558394174739334, - 0.7499605863296607, - 0.7321725843572547, - 0.7203898198919169, - 0.6731965689200002, - 0.6232831077925713, - 0.5965451849492109, - 0.5333839754189349, - 0.4690344762955596, - 0.4085741574995046, - 0.3285062556639348, - 0.2437619676284865 + 0.3574765018176295, + 0.4612207398467721, + 0.5483249675975836, + 0.6234046233052691, + 0.6802899006868306, + 0.7007745000464695, + 0.7427628086359082, + 0.7593638574524261, + 0.7527902071530859, + 0.7328193715706207, + 0.7143747310716568, + 0.6702137409653384, + 0.6253213828464388, + 0.5960319824184539, + 0.533102322680434, + 0.47010695208733644, + 0.4096914809529153, + 0.3287178599562371, + 0.24541197837570655 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=OLS
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.3682870346000477, + 0.3518555441099705, + 0.33229120570169485, + 0.3119085291985947, + 0.29162947577881126, + 0.2712035641170973, + 0.25094123310641725, + 0.23042818144398644, + 0.20975565843611144, + 0.18787196615208956, + 0.16655540894392923, + 0.14710301384815327, + 0.1305978866131233, + 0.11290643651085712, + 0.09672067326891352, + 0.08159538443615383, + 0.06638025853402031, + 0.047640904009618505, + 0.023804153748342927 + ] + }, + "hovertemplate": "Method=OLS
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "OLS", "marker": { - "color": "#EF553B", + "color": "#CC6677", "pattern": { "shape": "" } @@ -47708,34 +47948,57 @@ ], "xaxis": "x", "y": [ - 1.6474547700637927, - 2.0917123614332387, - 2.370897589001443, - 2.5443504411045046, - 2.6351258293822504, - 2.6563149776981323, - 2.616518882080314, - 2.521298759295277, - 2.3792670648047674, - 2.202374933219368, - 2.0036934678602316, - 1.8051473483709812, - 1.6187051457288768, - 1.4576315326683897, - 1.3187137671067362, - 1.1802545316712034, - 1.020417953527131, - 0.8117302440832626, - 0.5139738371556934 + 1.6525362037121334, + 2.098685605213192, + 2.3790429418602095, + 2.553137697702143, + 2.644198052106768, + 2.6652482183500217, + 2.6250756881345145, + 2.5292399968812025, + 2.3863358990719883, + 2.208453408070588, + 2.008824189233901, + 1.8094947528881078, + 1.6225808684830754, + 1.4614029518990503, + 1.322641057067097, + 1.1842686513052816, + 1.024286814055605, + 0.8150787430958845, + 0.5161894826550235 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=QuantReg
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.068793294056833, + 0.1349982525228177, + 0.18998049633477215, + 0.2549091234888661, + 0.22908890280519845, + 0.31486345539657473, + 0.2725622160566196, + 0.34698073405095237, + 0.3656576456360656, + 0.3511845399560018, + 0.34788408356594874, + 0.24832318285509983, + 0.22390286055380654, + 0.23773619831501566, + 0.2441382265649738, + 0.24349435031057687, + 0.15191329134276613, + 0.0948841121743962, + 0.046161042530515395 + ] + }, + "hovertemplate": "Method=QuantReg
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "QuantReg", "marker": { - "color": "#00CC96", + "color": "#DDCC77", "pattern": { "shape": "" } @@ -47769,34 +48032,57 @@ ], "xaxis": "x", "y": [ - 1.6224510553254432, - 1.9644296774007466, - 2.336779095886331, - 2.3207279799144773, - 2.5173152919392057, - 2.5772148144637628, - 2.697501373225247, - 2.5751912089458195, - 2.5608424950222126, - 2.521702957765189, - 2.5445832352010074, - 2.3989523975741154, - 2.2987436691187297, - 2.1723215212089966, - 2.0497453330077975, - 1.8178005138727766, - 1.4944314792722722, - 1.0677927483273024, - 0.6354416087825342 + 1.5013569145565648, + 1.9790161009212732, + 2.3511308797806194, + 2.3079588817771377, + 2.4950726207532354, + 2.6099330462218973, + 2.69702162993971, + 2.61872809324925, + 2.7839667833524513, + 2.525661740722478, + 2.5481850584534813, + 2.402590226830257, + 2.295606630779594, + 2.1747747438567524, + 2.051714039947031, + 1.8195980308603619, + 1.495962430109753, + 1.0689514593557046, + 0.6325185734358929 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=Matching
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.03299138528193148, + 0.030405285629178488, + 0.0280591054962464, + 0.02601783088563523, + 0.0243582380812738, + 0.02316251533277402, + 0.02250472364514704, + 0.02243223510563223, + 0.022950596354141855, + 0.02402158799650035, + 0.02557587969988415, + 0.027531739332246178, + 0.029810230367795402, + 0.032343239080057894, + 0.03507566833981939, + 0.03796448367180442, + 0.04097662317876951, + 0.04408681650436455, + 0.04727571519850991 + ] + }, + "hovertemplate": "Method=Matching
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "Matching", "marker": { - "color": "#AB63FA", + "color": "#117733", "pattern": { "shape": "" } @@ -47830,34 +48116,57 @@ ], "xaxis": "x", "y": [ - 0.7365227177085876, - 0.7427098267344239, - 0.74889693576026, - 0.755084044786096, - 0.7612711538119321, - 0.7674582628377682, - 0.7736453718636044, - 0.7798324808894406, - 0.7860195899152768, - 0.792206698941113, - 0.7983938079669489, - 0.8045809169927851, - 0.8107680260186212, - 0.8169551350444573, - 0.8231422440702933, - 0.8293293530961297, - 0.8355164621219657, - 0.8417035711478018, - 0.8478906801736379 + 0.7392988055436551, + 0.7452527789566916, + 0.7512067523697279, + 0.7571607257827643, + 0.7631146991958008, + 0.769068672608837, + 0.7750226460218734, + 0.7809766194349097, + 0.7869305928479463, + 0.7928845662609826, + 0.798838539674019, + 0.8047925130870555, + 0.8107464865000917, + 0.8167004599131282, + 0.8226544333261646, + 0.8286084067392009, + 0.8345623801522372, + 0.8405163535652737, + 0.84647032697831 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=MDN
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.8723719702359061, + 0.8523143858442667, + 0.8199959420778279, + 0.7815497444523593, + 0.7504368131004511, + 0.7078234086463643, + 0.6576924915788758, + 0.615347490816561, + 0.5651171593219084, + 0.5162162620453759, + 0.46985796764778637, + 0.42137382461074724, + 0.3725712160453389, + 0.3263355418770452, + 0.27144751379660376, + 0.21582331422948753, + 0.16030554880726972, + 0.10599655633728447, + 0.051981602425172524 + ] + }, + "hovertemplate": "Method=MDN
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "MDN", "marker": { - "color": "#FFA15A", + "color": "#332288", "pattern": { "shape": "" } @@ -47891,25 +48200,25 @@ ], "xaxis": "x", "y": [ - 1.8346928629330832, - 2.221040094412073, - 2.4200195646075877, - 2.510731054127546, - 2.540913857385225, - 2.529174934528722, - 2.4845767695210648, - 2.4150156251474515, - 2.317515356771452, - 2.207956444633279, - 2.0754256151810866, - 1.9223243256084814, - 1.7525595825789408, - 1.5708281814802991, - 1.3684002554230623, - 1.1526762781565285, - 0.9164381602932593, - 0.6537249219912509, - 0.3684391142581072 + 1.811468157297973, + 2.215372515465798, + 2.416690286550123, + 2.511857978893228, + 2.5515630938250182, + 2.536078627003063, + 2.4946616017937804, + 2.425774530281386, + 2.32940403271036, + 2.2167665939864802, + 2.082879352871282, + 1.9304537535582127, + 1.7647775883008023, + 1.5790388062868643, + 1.3804846014839485, + 1.1614390008887412, + 0.9291943820804892, + 0.6706993632941413, + 0.383464603206913 ], "yaxis": "y" } @@ -47923,12 +48232,12 @@ }, "tracegroupgap": 0 }, - "paper_bgcolor": "#F0F0F0", - "plot_bgcolor": "#F0F0F0", + "paper_bgcolor": "#FAFAFA", + "plot_bgcolor": "#FAFAFA", "shapes": [ { "line": { - "color": "#636EFA", + "color": "#88CCEE", "dash": "dot", "width": 2 }, @@ -47936,12 +48245,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 0.5755978244266174, - "y1": 0.5755978244266174 + "y0": 0.5764315741824797, + "y1": 0.5764315741824797 }, { "line": { - "color": "#EF553B", + "color": "#CC6677", "dash": "dot", "width": 2 }, @@ -47949,12 +48258,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 1.8629254440134526, - "y1": 1.8629254440134526 + "y0": 1.8687748011466205, + "y1": 1.8687748011466205 }, { "line": { - "color": "#00CC96", + "color": "#DDCC77", "dash": "dot", "width": 2 }, @@ -47962,12 +48271,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 2.1144193924344195, - "y1": 2.1144193924344195 + "y0": 2.1241972571001817, + "y1": 2.1241972571001817 }, { "line": { - "color": "#AB63FA", + "color": "#117733", "dash": "dot", "width": 2 }, @@ -47975,12 +48284,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 0.7922066989411128, - "y1": 0.7922066989411128 + "y0": 0.7928845662609826, + "y1": 0.7928845662609826 }, { "line": { - "color": "#FFA15A", + "color": "#332288", "dash": "dot", "width": 2 }, @@ -47988,8 +48297,8 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 1.8559185788967631, - "y1": 1.8559185788967631 + "y0": 1.8627404668304526, + "y1": 1.8627404668304526 } ], "template": { @@ -48821,7 +49130,11 @@ 0, 1 ], + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", "showgrid": false, + "showline": true, "title": { "font": { "size": 12 @@ -48836,12 +49149,16 @@ 0, 1 ], - "showgrid": false, + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, "title": { "font": { "size": 12 }, - "text": "Test Quantile loss" + "text": "Quantile loss" }, "zeroline": false } @@ -48857,7 +49174,7 @@ "\n", "comparison_viz = method_comparison_results(\n", " data=autoimpute_results.cv_results,\n", - " metric_name=\"quantile loss\",\n", + " metric=\"quantile_loss\",\n", " data_format=\"wide\",\n", ")\n", "fig = comparison_viz.plot(\n", @@ -48879,7 +49196,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "8ee36de3", "metadata": {}, "outputs": [], @@ -48891,7 +49208,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "id": "7a6a13b6", "metadata": {}, "outputs": [ @@ -49001,7 +49318,7 @@ "pension_income 0.121772 1.000000 " ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -49012,7 +49329,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "id": "e5de4cfe", "metadata": {}, "outputs": [ @@ -49047,7 +49364,7 @@ " \n", " \n", " age\n", - " 0.119553\n", + " 0.119559\n", " \n", " \n", " race\n", @@ -49072,14 +49389,14 @@ "text/plain": [ " networth\n", "is_female 0.014095\n", - "age 0.119553\n", + "age 0.119559\n", "race 0.027996\n", "employment_income 0.121915\n", "interest_dividend_income 0.085286\n", "pension_income 0.059902" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -49090,14 +49407,14 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "id": "cbbe4764", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "8ca0aa0873004ee9b4e5404e1e398b15", + "model_id": "9fac1ad646374c75a5490737c0ef129c", "version_major": 2, "version_minor": 0 }, @@ -49111,7 +49428,7 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "196f2ce8ce00405aaf165e57e76e65dd", + "model_id": "7f7a36ba7d624b05b78450d3b68a6b46", "version_major": 2, "version_minor": 0 }, @@ -49144,7 +49461,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "id": "6fc4dbd3", "metadata": {}, "outputs": [ @@ -49182,61 +49499,61 @@ " \n", " 4\n", " interest_dividend_income\n", - " 3.413499e+06\n", + " 3.596108e+06\n", " 0\n", - " 1.865978e+06\n", - " 120.578572\n", - " 1.547521e+06\n", + " 1.934385e+06\n", + " 116.408420\n", + " 1.661723e+06\n", " 0\n", " \n", " \n", " 3\n", " employment_income\n", - " 2.073023e+06\n", + " 2.219377e+06\n", " 0\n", - " 5.255021e+05\n", - " 33.957678\n", - " 1.547521e+06\n", + " 5.576544e+05\n", + " 33.558812\n", + " 1.661723e+06\n", " 0\n", " \n", " \n", " 1\n", " age\n", - " 2.051171e+06\n", + " 2.189845e+06\n", " 0\n", - " 5.036499e+05\n", - " 32.545597\n", - " 1.547521e+06\n", + " 5.281224e+05\n", + " 31.781620\n", + " 1.661723e+06\n", " 0\n", " \n", " \n", " 5\n", " pension_income\n", - " 1.724660e+06\n", + " 1.875120e+06\n", " 0\n", - " 1.771395e+05\n", - " 11.446667\n", - " 1.547521e+06\n", + " 2.133975e+05\n", + " 12.841944\n", + " 1.661723e+06\n", " 0\n", " \n", " \n", " 2\n", " race\n", - " 1.586420e+06\n", + " 1.728080e+06\n", " 0\n", - " 3.889930e+04\n", - " 2.513653\n", - " 1.547521e+06\n", + " 6.635777e+04\n", + " 3.993312\n", + " 1.661723e+06\n", " 0\n", " \n", " \n", " 0\n", " is_female\n", - " 1.579172e+06\n", + " 1.698452e+06\n", " 0\n", - " 3.165105e+04\n", - " 2.045275\n", - " 1.547521e+06\n", + " 3.672947e+04\n", + " 2.210325\n", + " 1.661723e+06\n", " 0\n", " \n", " \n", @@ -49245,23 +49562,23 @@ ], "text/plain": [ " predictor_removed avg_quantile_loss avg_log_loss loss_increase \\\n", - "4 interest_dividend_income 3.413499e+06 0 1.865978e+06 \n", - "3 employment_income 2.073023e+06 0 5.255021e+05 \n", - "1 age 2.051171e+06 0 5.036499e+05 \n", - "5 pension_income 1.724660e+06 0 1.771395e+05 \n", - "2 race 1.586420e+06 0 3.889930e+04 \n", - "0 is_female 1.579172e+06 0 3.165105e+04 \n", + "4 interest_dividend_income 3.596108e+06 0 1.934385e+06 \n", + "3 employment_income 2.219377e+06 0 5.576544e+05 \n", + "1 age 2.189845e+06 0 5.281224e+05 \n", + "5 pension_income 1.875120e+06 0 2.133975e+05 \n", + "2 race 1.728080e+06 0 6.635777e+04 \n", + "0 is_female 1.698452e+06 0 3.672947e+04 \n", "\n", " relative_impact baseline_quantile_loss baseline_log_loss \n", - "4 120.578572 1.547521e+06 0 \n", - "3 33.957678 1.547521e+06 0 \n", - "1 32.545597 1.547521e+06 0 \n", - "5 11.446667 1.547521e+06 0 \n", - "2 2.513653 1.547521e+06 0 \n", - "0 2.045275 1.547521e+06 0 " + "4 116.408420 1.661723e+06 0 \n", + "3 33.558812 1.661723e+06 0 \n", + "1 31.781620 1.661723e+06 0 \n", + "5 12.841944 1.661723e+06 0 \n", + "2 3.993312 1.661723e+06 0 \n", + "0 2.210325 1.661723e+06 0 " ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -49272,7 +49589,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "id": "3581c6a8", "metadata": {}, "outputs": [ @@ -49281,7 +49598,7 @@ "output_type": "stream", "text": [ "Optimal subset: ['interest_dividend_income', 'age', 'employment_income', 'pension_income', 'race', 'is_female']\n", - "Optimal loss: 1548146.2467345514\n", + "Optimal loss: 1685442.3953846218\n", " step predictor_added \\\n", "0 1 interest_dividend_income \n", "1 2 age \n", @@ -49291,20 +49608,20 @@ "5 6 is_female \n", "\n", " predictors_included avg_quantile_loss \\\n", - "0 [interest_dividend_income] 4.655876e+06 \n", - "1 [interest_dividend_income, age] 2.595470e+06 \n", - "2 [interest_dividend_income, age, employment_inc... 1.789964e+06 \n", - "3 [interest_dividend_income, age, employment_inc... 1.610251e+06 \n", - "4 [interest_dividend_income, age, employment_inc... 1.577596e+06 \n", - "5 [interest_dividend_income, age, employment_inc... 1.548146e+06 \n", + "0 [interest_dividend_income] 5.037628e+06 \n", + "1 [interest_dividend_income, age] 2.752098e+06 \n", + "2 [interest_dividend_income, age, employment_inc... 1.932222e+06 \n", + "3 [interest_dividend_income, age, employment_inc... 1.737197e+06 \n", + "4 [interest_dividend_income, age, employment_inc... 1.704094e+06 \n", + "5 [interest_dividend_income, age, employment_inc... 1.685442e+06 \n", "\n", " avg_log_loss cumulative_improvement marginal_improvement \n", "0 0 0.000000e+00 0.000000e+00 \n", - "1 0 2.060406e+06 2.060406e+06 \n", - "2 0 2.865913e+06 8.055065e+05 \n", - "3 0 3.045625e+06 1.797127e+05 \n", - "4 0 3.078281e+06 3.265553e+04 \n", - "5 0 3.107730e+06 2.944927e+04 \n" + "1 0 2.285529e+06 2.285529e+06 \n", + "2 0 3.105406e+06 8.198762e+05 \n", + "3 0 3.300430e+06 1.950246e+05 \n", + "4 0 3.333533e+06 3.310285e+04 \n", + "5 0 3.352185e+06 1.865204e+04 \n" ] } ], @@ -49330,7 +49647,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "id": "db073e13", "metadata": {}, "outputs": [ @@ -49340,19 +49657,19 @@ "text": [ "Model: best_method, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 662908.715485\n", + "0 networth wasserstein_distance 581540.344028\n", "Model: OLS, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.598665e+06\n", + " Variable Metric Distance\n", + "0 networth wasserstein_distance 895501.985726\n", "Model: QuantReg, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.161526e+08\n", + "0 networth wasserstein_distance 2.618205e+07\n", "Model: Matching, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.061307e+06\n", + "0 networth wasserstein_distance 1.011874e+06\n", "Model: MDN, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 340131.313148\n" + " Variable Metric Distance\n", + "0 networth wasserstein_distance 554053.4217\n" ] } ], @@ -49379,7 +49696,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 22, "id": "643cb47d", "metadata": {}, "outputs": [], @@ -49410,6 +49727,14 @@ " from plotly.subplots import make_subplots\n", " import plotly.graph_objects as go\n", "\n", + " colors = [\n", + " \"#CC6677\", # Rose\n", + " \"#DDCC77\", # Sand\n", + " \"#117733\", # Green\n", + " \"#332288\", # Indigo\n", + " \"#88CCEE\", # Cyan\n", + " ]\n", + "\n", " # Normalize weights\n", " donor_weights_normalized = donor_weights / donor_weights.sum()\n", " receiver_weights_normalized = receiver_weights / receiver_weights.sum()\n", @@ -49447,8 +49772,7 @@ " )\n", "\n", " # Define colors\n", - " donor_color = \"grey\"\n", - " model_colors = [\"#EF553B\", \"#00CC96\", \"#AB63FA\", \"#FFA15A\", \"#636EFA\"]\n", + " donor_color = \"#999999\"\n", "\n", " # Custom tick formatting\n", " tick_values = [-6, -4, -2, 0, 2, 4, 6, 8]\n", @@ -49510,7 +49834,7 @@ " for idx, (model_name, imputed_data) in enumerate(model_results.items()):\n", " subplot_idx = idx + 1 # Skip first subplot\n", " row, col = positions[subplot_idx]\n", - " model_color = model_colors[idx % len(model_colors)]\n", + " model_color = colors[idx % len(colors)]\n", "\n", " # Sample receiver data with weights\n", " receiver_sampled = imputed_data.sample(\n", @@ -49532,7 +49856,7 @@ " nbinsx=200,\n", " opacity=0.3,\n", " name=\"SCF (weighted)\",\n", - " marker_color=\"grey\",\n", + " marker_color=donor_color,\n", " histnorm=\"percent\",\n", " showlegend=False,\n", " ),\n", @@ -49561,7 +49885,7 @@ " x=[donor_log_median, donor_log_median],\n", " y=[0, 10],\n", " mode=\"lines\",\n", - " line=dict(color=\"grey\", width=2, dash=\"dash\"),\n", + " line=dict(color=donor_color, width=2, dash=\"dash\"),\n", " name=\"SCF Median\",\n", " showlegend=False,\n", " ),\n", @@ -49621,8 +49945,8 @@ " height=900,\n", " width=1000,\n", " showlegend=True,\n", - " paper_bgcolor=\"#F0F0F0\",\n", - " plot_bgcolor=\"#F0F0F0\",\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", " legend=dict(\n", " x=0.5,\n", " y=-0.15,\n", @@ -49643,17 +49967,23 @@ " col_num = (i - 1) % 2 + 1\n", "\n", " fig.update_xaxes(\n", - " showgrid=False,\n", " tickvals=tick_values,\n", " ticktext=tick_labels,\n", " title_text=\"Net Worth (log scale)\" if row_num == 3 else \"\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", " row=row_num,\n", " col=col_num,\n", " )\n", " fig.update_yaxes(\n", - " showgrid=False,\n", " range=[0, 10],\n", " title_text=\"Percentage\" if col_num == 1 else \"\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", " row=row_num,\n", " col=col_num,\n", " )\n", @@ -49663,7 +49993,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 23, "id": "4f9709f4", "metadata": {}, "outputs": [ @@ -49677,7 +50007,7 @@ { "histnorm": "percent", "marker": { - "color": "grey" + 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"model_results[\"QRF\"] = model_results[\"best_method\"]\n", + "del model_results[\"best_method\"]\n", + "\n", + "# Create and show the combined plot\n", + "combined_fig = plot_all_models_log_distributions(\n", + " scf_data, model_results,\n", + " donor_weights=scf_data[\"wgt\"], receiver_weights=cps_data[\"household_weight\"],\n", + ")\n", + "combined_fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "0d7999da", + "metadata": {}, + "source": [ + "Comparing the wealth distributions that result from imputing from the SCF on to the CPS with five different models, we can visually recognize the different strengths and limitations of each of them. The implications of using one model instead of another for imputation will be further explored by evaluating the impact wealth imputed data has on microsimulation results." + ] + }, + { + "cell_type": "markdown", + "id": "26c89270", + "metadata": {}, + "source": [ + "## Wealth distributions by disposable income deciles" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "839cff5a", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "alignmentgroup": "True", + "hovertemplate": "Model=OLS
Net-income decile (1 = lowest, 10 = highest)=%{x}
Median household net worth ($)=%{y}", + "legendgroup": "OLS", + "marker": { + "color": "#CC6677", + "pattern": { + "shape": "" + } + }, + "name": "OLS", + "offsetgroup": "OLS", + "orientation": "v", + "showlegend": true, + "textposition": "auto", + "type": "bar", + "x": [ + 1, 2, - 4.279894980011639, - 4.230448921378273, - 5.427972713608209, - 5.902546779313992, - 6.32735893438633, - 6.827821427682802, - 6.6971857367069765, - 5.375992638795608, - 4.816241299991783, - 6.12004719435304, - 4.44870631990508, - 6.078202982503686, - 4.230448921378273, - 6.496666778880049, - 5.612359947967774, - 4.841984804590114, - 5.745230984528141, - 3.8976270912904414, - 6.023005397249935, - 5.388278863459639, - 5.24809593109413, - 5.8508299598485305, - 6.8136143432382985, - -5.214790882076304, - 5.574390136187557, - 5.8139144200486035, - 5.975017997632883, - -3.9684829485539352, - 5.586924708144821, - 5.17897694729317, - 5.604927703428446, - -3.2600713879850747, - 5.637019155753759, - 6.4754532601697, - 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Mean: $82,450", - "x": 7, - "xanchor": "right", - "xref": "x6", - "y": 9, - "yanchor": "top", - "yref": "y6" - } - ], - "barmode": "overlay", - "height": 900, + "barmode": "group", + "height": 600, + "hovermode": "x unified", "legend": { - "bgcolor": "rgba(255,255,255,0.8)", - "bordercolor": "rgba(0,0,0,0.3)", - "borderwidth": 1, - "orientation": "h", - "x": 0.5, - "xanchor": "center", - "y": -0.15, - "yanchor": "top" - }, - "margin": { - "b": 80, - "r": 80, - "t": 80 + "title": { + "text": "Model" + }, + "tracegroupgap": 0 }, - "paper_bgcolor": "#F0F0F0", - "plot_bgcolor": "#F0F0F0", - "showlegend": true, + "paper_bgcolor": "#FAFAFA", + "plot_bgcolor": "#FAFAFA", "template": { "data": { "bar": [ @@ -292206,292 +301116,42 @@ }, "zerolinecolor": "white", "zerolinewidth": 2 - } - } - }, - "title": { - "font": { - "size": 18 - }, - "text": "Log-transformed Net Worth Imputations by Model", - "x": 0.5, - "xanchor": "center" - }, - "width": 1000, - "xaxis": { - "anchor": "y", - "domain": [ - 0, - 0.46 - ], - "showgrid": false, - "ticktext": [ - "$-1,000,000", - "$-10,000", - "$-100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8 - ], - "title": { - "text": "" - } - }, - "xaxis2": { - "anchor": "y2", - "domain": [ - 0.54, - 1 - ], - "showgrid": false, - "ticktext": [ - "$-1,000,000", - "$-10,000", - "$-100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8 - ], - "title": { - "text": "" - } - }, - "xaxis3": { - "anchor": "y3", - "domain": [ - 0, - 0.46 - ], - "showgrid": false, - "ticktext": [ - "$-1,000,000", - "$-10,000", - "$-100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8 - ], - "title": { - "text": "" - } - }, - "xaxis4": { - "anchor": "y4", - "domain": [ - 0.54, - 1 - ], - "showgrid": false, - "ticktext": [ - "$-1,000,000", - "$-10,000", - "$-100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8 - ], - "title": { - "text": "" - } - }, - "xaxis5": { - "anchor": "y5", - "domain": [ - 0, - 0.46 - ], - "showgrid": false, - "ticktext": [ - "$-1,000,000", - "$-10,000", - "$-100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8 - ], - "title": { - "text": "Net Worth (log scale)" - } - }, - "xaxis6": { - "anchor": "y6", - "domain": [ - 0.54, - 1 - ], - "showgrid": false, - "ticktext": [ - "$-1,000,000", - "$-10,000", - "$-100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8 - ], - "title": { - "text": "Net Worth (log scale)" - } - }, - "yaxis": { - "anchor": "x", - "domain": [ - 0.7333333333333334, - 1 - ], - "range": [ - 0, - 10 - ], - "showgrid": false, - "title": { - "text": "Percentage" - } - }, - "yaxis2": { - "anchor": "x2", - "domain": [ - 0.7333333333333334, - 1 - ], - "range": [ - 0, - 10 - ], - "showgrid": false, - "title": { - "text": "" - } - }, - "yaxis3": { - "anchor": "x3", - "domain": [ - 0.3666666666666667, - 0.6333333333333333 - ], - "range": [ - 0, - 10 - ], - "showgrid": false, - "title": { - "text": "Percentage" - } - }, - "yaxis4": { - "anchor": "x4", - "domain": [ - 0.3666666666666667, - 0.6333333333333333 - ], - "range": [ - 0, - 10 - ], - "showgrid": false, - "title": { - "text": "" + } } }, - "yaxis5": { - "anchor": "x5", + "title": { + "text": "Median household net worth by net-income decile
Comparison of imputation models" + }, + "width": 750, + "xaxis": { + "anchor": "y", "domain": [ 0, - 0.26666666666666666 - ], - "range": [ - 0, - 10 + 1 ], + "dtick": 1, + "linecolor": "#CCCCCC", "showgrid": false, + "showline": true, + "tick0": 1, "title": { - "text": "Percentage" + "text": "Net-income decile (1 = lowest, 10 = highest)" } }, - "yaxis6": { - "anchor": "x6", + "yaxis": { + "anchor": "x", "domain": [ 0, - 0.26666666666666666 - ], - "range": [ - 0, - 10 + 1 ], - "showgrid": false, + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "tickformat": "$,.0f", "title": { - "text": "" + "text": "Median household net worth ($)" } } } @@ -292502,275 +301162,426 @@ } ], "source": [ - "# Create dictionary of model results\n", - "model_results = autoimpute_results.imputations.copy()\n", - "model_results[\"QRF\"] = model_results[\"best_method\"]\n", - "del model_results[\"best_method\"]\n", + "income_col = \"household_net_income\"\n", + "wealth_col = \"networth\"\n", "\n", - "# Create and show the combined plot\n", - "combined_fig = plot_all_models_log_distributions(\n", - " scf_data, model_results,\n", - " donor_weights=scf_data[\"wgt\"], receiver_weights=cps_data[\"household_weight\"],\n", + "income_deciles = net_disposable_income.decile_rank()\n", + "decile_means = []\n", + "\n", + "for model, imputations in model_results.items():\n", + " tmp = cps_data.copy()\n", + " cps_data[wealth_col] = imputations\n", + "\n", + " # Create a temporary dataframe with the imputed values\n", + " tmp = pd.DataFrame({\n", + " 'networth': imputations.values.flatten(),\n", + " 'income_decile': income_deciles.values\n", + " })\n", + "\n", + " # Mean wealth in each decile\n", + " out = (\n", + " tmp.groupby('income_decile')['networth']\n", + " .median()\n", + " .reset_index(name='median_wealth')\n", + " )\n", + " out[\"Model\"] = model\n", + " decile_means.append(out)\n", + "\n", + "avg_df = pd.concat(decile_means, ignore_index=True)\n", + "\n", + "fig = px.bar(\n", + " avg_df,\n", + " x=\"income_decile\",\n", + " y=\"median_wealth\",\n", + " color=\"Model\",\n", + " color_discrete_sequence=[\n", + " \"#CC6677\", # Rose\n", + " \"#DDCC77\", # Sand\n", + " \"#117733\", # Green\n", + " \"#332288\", # Indigo\n", + " \"#88CCEE\", # Cyan\n", + " ],\n", + " barmode=\"group\",\n", + " labels={\n", + " \"income_decile\": \"Net-income decile (1 = lowest, 10 = highest)\",\n", + " \"median_wealth\": \"Median household net worth ($)\",\n", + " },\n", + " title=(\n", + " \"Median household net worth by net-income decile
\"\n", + " \"Comparison of imputation models\"\n", + " ),\n", ")\n", - "combined_fig.show()" + "\n", + "fig.update_layout(\n", + " width=PLOT_CONFIG[\"width\"],\n", + " height=PLOT_CONFIG[\"height\"],\n", + " xaxis=dict(dtick=1, tick0=1),\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", + " yaxis_tickformat=\"$,.0f\",\n", + " hovermode=\"x unified\",\n", + ")\n", + "\n", + "fig.update_xaxes(\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "\n", + "fig.show()" ] }, { "cell_type": "markdown", - "id": "0d7999da", + "id": "feda0d2f", "metadata": {}, "source": [ - "Comparing the wealth distributions that result from imputing from the SCF on to the CPS with five different models, we can visually recognize the different strengths and limitations of each of them. The implications of using one model instead of another for imputation will be further explored by evaluating the impact wealth imputed data has on microsimulation results." + "## Loading results onto the microimputation dashboard" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "9bcee9aa", + "metadata": {}, + "outputs": [], + "source": [ + "from microimpute.utils import format_csv\n", + "\n", + "imputation_results_combined = format_csv(\n", + " output_path=\"/Users/movil1/Desktop/PYTHONJOBS/PolicyEngine/microimpute/paper/scf_to_cps_imputation_results.csv\",\n", + " autoimpute_result=autoimpute_results.cv_results,\n", + " comparison_metrics_df=None,\n", + " distribution_comparison_df=distribution_comparison_results,\n", + " predictor_correlations=correlations,\n", + " predictor_importance_df=leave_one_out_results,\n", + " progressive_inclusion_df=predictor_inclusion_results['results_df'],\n", + " best_method_name=\"QRF\",\n", + " donor_data=scf_data,\n", + " receiver_data=autoimpute_results.receiver_data,\n", + " imputed_variables=imputed_variables,\n", + " n_histogram_bins=150,\n", + ")" ] }, { "cell_type": "markdown", - "id": "26c89270", + "id": "buy633vuoar", "metadata": {}, "source": [ - "## Wealth distributions by disposable income deciles" + "## SSI Policy Analysis: Baseline (No Wealth Data)\n", + "\n", + "Supplemental Security Income (SSI) is a means-tested program that\n", + "requires applicants to have countable resources below $2,000\n", + "(individual) or $3,000 (couple). Since the CPS does not collect\n", + "wealth data, PolicyEngine's `ssi_countable_resources` variable\n", + "defaults to $0 for everyone — meaning all categorically eligible\n", + "persons (aged, blind, or disabled) pass the resource test. Then \n", + "40% are randomly chosen as actually passing the test.\n", + "\n", + "This baseline uses the Enhanced CPS 2024 calibrated dataset\n", + "whose survey weights have been reweighted to match administrative\n", + "totals for SSI participation, tax revenue, SNAP, and other programs.\n", + "\n", + "Administrative totals come from the\n", + "[SSI Annual Statistical Report, 2024](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/index.html)." ] }, { "cell_type": "code", - "execution_count": 18, - "id": "839cff5a", + "execution_count": 86, + "id": "m2mx0oepixj", "metadata": {}, "outputs": [ { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "alignmentgroup": "True", - "hovertemplate": "Model=OLS
Net-income decile (1 = lowest, 10 = highest)=%{x}
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Median household net worth ($)=%{y}", - "legendgroup": "QuantReg", - "marker": { - "color": "#00CC96", - "pattern": { - "shape": "" - } - }, - "name": "QuantReg", - "offsetgroup": "QuantReg", - "orientation": "v", - "showlegend": true, - "textposition": "auto", - "type": "bar", - "x": [ - 1, - 2, - 3, - 4, - 5, - 6, - 7, - 8, - 9, - 10 - ], - "xaxis": "x", - "y": [ - 156934.5126485541, - 159134.0865617501, - 159380.95195851347, - 158411.23460807238, - 167777.20614806667, - 157132.84907957958, - 160440.54629156966, - 164387.06157191063, - 179762.0796047099, - 185742.19605422954 - ], - "yaxis": "y" - }, - { - "alignmentgroup": "True", - "hovertemplate": "Model=Matching
Net-income decile (1 = lowest, 10 = highest)=%{x}
Median household net worth ($)=%{y}", - "legendgroup": "Matching", - "marker": { - "color": "#AB63FA", - "pattern": { - "shape": "" - } - }, - "name": "Matching", - "offsetgroup": "Matching", - "orientation": "v", - "showlegend": true, - "textposition": "auto", - "type": "bar", - "x": [ - 1, - 2, - 3, - 4, - 5, - 6, - 7, - 8, - 9, - 10 - ], - "xaxis": "x", - "y": [ - 261360.00000000012, - 312799.99999999977, - 267499.99999999994, - 298449.9999999999, - 303450.0000000001, - 324530.00000000006, - 300919.9999999998, - 330200.0000000002, - 383299.9999999999, - 409600 - ], - "yaxis": "y" - }, + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n", + "SSI BASELINE: No wealth data (all eligible pass resource test)\n", + "=================================================================\n", + "Metric Simulated Admin Total\n", + "-----------------------------------------------------------------\n", + "Total recipients 7,312,945 7,400,000\n", + "Total expenditure ($B) 57.06 59.6\n", + "Avg monthly benefit ($) 650 697\n", + "-----------------------------------------------------------------\n", + "Recipient ratio (sim/admin) 98.82%\n", + "Expenditure ratio (sim/admin) 95.73%\n" + ] + } + ], + "source": [ + "# --- SSI Baseline: No wealth data (all eligible pass resource test) ---\n", + "\n", + "from policyengine_us import Microsimulation\n", + "from policyengine_us_data import EnhancedCPS_2024\n", + "\n", + "sim_baseline = Microsimulation(dataset=EnhancedCPS_2024)\n", + "\n", + "# PolicyEngine's .sum() already applies survey weights internally\n", + "ssi = sim_baseline.calculate(\"ssi\", period=2024)\n", + "\n", + "# Weighted totals via PolicyEngine's built-in weighted aggregation\n", + "total_expenditure = float(ssi.sum())\n", + "total_recipients = float((ssi > 0).astype(float).sum())\n", + "avg_monthly_benefit = (\n", + " total_expenditure / total_recipients / 12\n", + " if total_recipients > 0\n", + " else 0\n", + ")\n", + "\n", + "# Administrative totals (SSI Annual Statistical Report, 2024)\n", + "admin_recipients = 7_400_000\n", + "admin_expenditure = 59.6e9 # federal SSI payments, CY 2024\n", + "admin_avg_monthly = 697 # average monthly payment, Dec 2024\n", + "\n", + "print(\"=\" * 65)\n", + "print(\"SSI BASELINE: No wealth data (all eligible pass resource test)\")\n", + "print(\"=\" * 65)\n", + "print(\n", + " f\"{'Metric':<35} {'Simulated':>14} {'Admin Total':>14}\"\n", + ")\n", + "print(\"-\" * 65)\n", + "print(\n", + " f\"{'Total recipients':<35} \"\n", + " f\"{total_recipients:>14,.0f} \"\n", + " f\"{admin_recipients:>14,}\"\n", + ")\n", + "print(\n", + " f\"{'Total expenditure ($B)':<35} \"\n", + " f\"{total_expenditure / 1e9:>14.2f} \"\n", + " f\"{admin_expenditure / 1e9:>14.1f}\"\n", + ")\n", + "print(\n", + " f\"{'Avg monthly benefit ($)':<35} \"\n", + " f\"{avg_monthly_benefit:>14,.0f} \"\n", + " f\"{admin_avg_monthly:>14,}\"\n", + ")\n", + "print(\"-\" * 65)\n", + "print(\n", + " f\"{'Recipient ratio (sim/admin)':<35} \"\n", + " f\"{total_recipients / admin_recipients:>14.2%}\"\n", + ")\n", + "print(\n", + " f\"{'Expenditure ratio (sim/admin)':<35} \"\n", + " f\"{total_expenditure / admin_expenditure:>14.2%}\"\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "qjt04nupck", + "metadata": {}, + "source": [ + "## SSI Policy Analysis: Impact of Imputed Wealth\n", + "\n", + "With imputed net worth from each model, we can now test how the SSI\n", + "resource test changes outcomes. By default, PolicyEngine's\n", + "microsimulation assigns the resource test probabilistically (using a\n", + "40% pass rate parameter), because the CPS lacks wealth data. Imputation \n", + "enables moving away from this, more accurately capturing which \n", + "eligible persons would actually pass teh resource test based on \n", + "their imputed net worth. We override the 40% random pass rate with a \n", + "Reform that applies the actual resource-limit logic using our 5 different \n", + "imputed net worth distributions.\n", + "\n", + "Each model's household-level net worth is mapped to the person-level\n", + "`ssi_countable_resources` variable (assigned to household heads; the\n", + "`marital_unit.sum` in `meets_ssi_resource_test` handles joint claims).\n", + "Households with imputed net worth above the $2,000 individual /\n", + "$3,000 couple threshold will fail the resource test and lose SSI\n", + "eligibility. The magnitude of this effect depends on the wealth\n", + "distribution each imputation model produces." + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "id": "2d9552bb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "================================================================================\n", + "SSI OUTCOMES BY IMPUTATION MODEL\n", + "(Imputed net worth used as ssi_countable_resources)\n", + "================================================================================\n", + "Model Recipients Expend ($B) Avg Mo ($) Recip %\n", + "--------------------------------------------------------------------------------\n", + "OLS 11,273,976 100.91 746 152.4%\n", + "QuantReg 8,270,595 73.90 745 111.8%\n", + "Matching 11,169,876 96.69 721 150.9%\n", + "MDN 8,981,363 79.04 733 121.4%\n", + "QRF 10,561,987 92.34 729 142.7%\n", + "Baseline (no wealth) 7,312,945 57.06 650 98.8%\n", + "--------------------------------------------------------------------------------\n", + "Admin total 7,400,000 59.6 697 100.0%\n" + ] + }, + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ { - "alignmentgroup": "True", - "hovertemplate": "Model=MDN
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Comparison of imputation models" + "text": "SSI outcomes with imputed wealth as countable resources" }, + "width": 950, "xaxis": { "anchor": "y", "domain": [ 0, + 0.44 + ], + "linecolor": "#CCCCCC", + "showgrid": false, + "showline": true + }, + "xaxis2": { + "anchor": "y2", + "domain": [ + 0.56, 1 ], - "dtick": 1, + "linecolor": "#CCCCCC", "showgrid": false, - "tick0": 1, - "title": { - "text": "Net-income decile (1 = lowest, 10 = highest)" - } + "showline": true }, "yaxis": { "anchor": "x", @@ -293609,11 +302428,26 @@ 0, 1 ], - "showgrid": false, - "tickformat": "$,.0f", - "title": { - "text": "Median household net worth ($)" - } + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "tickformat": ",.0f" + }, + "yaxis2": { + "anchor": "x2", + "domain": [ + 0, + 1 + ], + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "tickformat": ".1f", + "tickprefix": "$" } } } @@ -293623,97 +302457,217 @@ } ], "source": [ - "income_col = \"household_net_income\"\n", - "wealth_col = \"networth\"\n", + "# --- SSI with imputed wealth as countable resources ---\n", "\n", - "income_deciles = net_disposable_income.decile_rank()\n", - "decile_means = []\n", + "from policyengine_us import Microsimulation\n", + "from policyengine_us.model_api import Variable, YEAR, USD, where\n", + "from policyengine_us.entities import Person\n", + "from policyengine_core.reforms import Reform\n", + "from policyengine_us_data import EnhancedCPS_2024\n", "\n", - "for model, imputations in model_results.items():\n", - " tmp = cps_data.copy()\n", - " cps_data[wealth_col] = imputations\n", + "person_hh_ids = cps[\"person_household_id\"]\n", + "is_head = cps[\"is_household_head\"].astype(bool)\n", + "hh_ids = cps_data[\"household_id\"].values\n", "\n", - " # Create a temporary dataframe with the imputed values\n", - " tmp = pd.DataFrame({\n", - " 'networth': imputations.values.flatten(),\n", - " 'income_decile': income_deciles.values\n", + "\n", + "def make_ssi_resource_reform(resources_array):\n", + " \"\"\"Reform that injects imputed resources and bypasses the\n", + " microsimulation probabilistic shortcut in meets_ssi_resource_test\n", + " so that actual resource-limit logic is used instead.\"\"\"\n", + " arr = resources_array.copy()\n", + "\n", + " class ssi_countable_resources(Variable):\n", + " value_type = float\n", + " entity = Person\n", + " label = \"SSI countable resources\"\n", + " unit = USD\n", + " definition_period = YEAR\n", + "\n", + " def formula(person, period, parameters):\n", + " return arr\n", + "\n", + " class meets_ssi_resource_test(Variable):\n", + " value_type = bool\n", + " entity = Person\n", + " label = \"Meets SSI resource test\"\n", + " unit = USD\n", + " definition_period = YEAR\n", + "\n", + " def formula(person, period, parameters):\n", + " p = parameters(period).gov.ssa.ssi\n", + " joint_claim = person(\"ssi_claim_is_joint\", period)\n", + " personal_resources = person(\n", + " \"ssi_countable_resources\", period\n", + " )\n", + " countable_resources = where(\n", + " joint_claim,\n", + " person.marital_unit.sum(personal_resources),\n", + " personal_resources,\n", + " )\n", + " resource_limit = where(\n", + " joint_claim,\n", + " p.eligibility.resources.limit.couple,\n", + " p.eligibility.resources.limit.individual,\n", + " )\n", + " return countable_resources <= resource_limit\n", + "\n", + " class reform(Reform):\n", + " def apply(self):\n", + " self.update_variable(ssi_countable_resources)\n", + " self.update_variable(meets_ssi_resource_test)\n", + "\n", + " return reform\n", + "\n", + "\n", + "ssi_results = {}\n", + "\n", + "for model_name, imputations in model_results.items():\n", + " # Map household-level imputed net worth to person-level\n", + " person_df = pd.DataFrame({\"household_id\": person_hh_ids})\n", + " hh_df = pd.DataFrame({\n", + " \"household_id\": hh_ids,\n", + " \"networth\": imputations[\"networth\"].values.flatten(),\n", " })\n", + " merged = person_df.merge(hh_df, on=\"household_id\", how=\"left\")\n", + " person_networth = merged[\"networth\"].fillna(0).values\n", "\n", - " # Mean wealth in each decile\n", - " out = (\n", - " tmp.groupby('income_decile')['networth']\n", - " .median()\n", - " .reset_index(name='median_wealth')\n", + " # Assign to household heads only (non-heads get 0);\n", + " # meets_ssi_resource_test uses marital_unit.sum for joint\n", + " # claims, so the head's value propagates correctly.\n", + " person_resources = np.where(\n", + " is_head, np.maximum(person_networth, 0), 0.0\n", + " ).astype(np.float32)\n", + "\n", + " # Create simulation with reform that uses actual resource logic\n", + " sim = Microsimulation(\n", + " dataset=EnhancedCPS_2024,\n", + " reform=make_ssi_resource_reform(person_resources),\n", " )\n", - " out[\"Model\"] = model\n", - " decile_means.append(out)\n", + " ssi = sim.calculate(\"ssi\", period=2024)\n", "\n", - "avg_df = pd.concat(decile_means, ignore_index=True)\n", - "model_colors = [\"#EF553B\", \"#00CC96\", \"#AB63FA\", \"#FFA15A\", \"#636EFA\"]\n", + " total_exp = float(ssi.sum())\n", + " total_recip = float((ssi > 0).astype(float).sum())\n", + " avg_mo = total_exp / total_recip / 12 if total_recip > 0 else 0\n", "\n", - "fig = px.bar(\n", - " avg_df,\n", - " x=\"income_decile\",\n", - " y=\"median_wealth\",\n", - " color=\"Model\",\n", - " color_discrete_sequence=model_colors,\n", - " barmode=\"group\",\n", - " labels={\n", - " \"income_decile\": \"Net-income decile (1 = lowest, 10 = highest)\",\n", - " \"median_wealth\": \"Median household net worth ($)\",\n", - " },\n", - " title=(\n", - " \"Median household net worth by net-income decile
\"\n", - " \"Comparison of imputation models\"\n", + " ssi_results[model_name] = {\n", + " \"recipients\": total_recip,\n", + " \"expenditure\": total_exp,\n", + " \"avg_monthly\": avg_mo,\n", + " }\n", + "\n", + "# Add baseline (no wealth data) for comparison\n", + "ssi_results[\"Baseline (no wealth)\"] = {\n", + " \"recipients\": total_recipients,\n", + " \"expenditure\": total_expenditure,\n", + " \"avg_monthly\": avg_monthly_benefit,\n", + "}\n", + "\n", + "# --- Comparison table ---\n", + "print(\"=\" * 80)\n", + "print(\"SSI OUTCOMES BY IMPUTATION MODEL\")\n", + "print(\"(Imputed net worth used as ssi_countable_resources)\")\n", + "print(\"=\" * 80)\n", + "print(\n", + " f\"{'Model':<25} {'Recipients':>12} {'Expend ($B)':>12} \"\n", + " f\"{'Avg Mo ($)':>11} {'Recip %':>9}\"\n", + ")\n", + "print(\"-\" * 80)\n", + "for model, r in ssi_results.items():\n", + " print(\n", + " f\"{model:<25} \"\n", + " f\"{r['recipients']:>12,.0f} \"\n", + " f\"{r['expenditure'] / 1e9:>12.2f} \"\n", + " f\"{r['avg_monthly']:>11,.0f} \"\n", + " f\"{r['recipients'] / admin_recipients:>8.1%}\"\n", + " )\n", + "print(\"-\" * 80)\n", + "print(\n", + " f\"{'Admin total':<25} \"\n", + " f\"{admin_recipients:>12,} \"\n", + " f\"{admin_expenditure / 1e9:>12.1f} \"\n", + " f\"{admin_avg_monthly:>11,} \"\n", + " f\"{'100.0%':>9}\"\n", + ")\n", + "\n", + "# --- Visualization ---\n", + "model_colors = [\n", + " \"#CC6677\", # OLS\n", + " \"#DDCC77\", # QuantReg\n", + " \"#117733\", # Matching\n", + " \"#332288\", # MDN\n", + " \"#88CCEE\", # QRF\n", + " \"#999999\", # Baseline\n", + "]\n", + "\n", + "models = list(ssi_results.keys())\n", + "recipients = [r[\"recipients\"] for r in ssi_results.values()]\n", + "expenditures = [r[\"expenditure\"] / 1e9 for r in ssi_results.values()]\n", + "\n", + "fig = make_subplots(\n", + " rows=1, cols=2,\n", + " subplot_titles=[\n", + " \"SSI Recipients by Model\",\n", + " \"SSI Expenditure by Model ($B)\",\n", + " ],\n", + " horizontal_spacing=0.12,\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=models, y=recipients,\n", + " marker_color=model_colors[:len(models)],\n", + " showlegend=False,\n", " ),\n", + " row=1, col=1,\n", + ")\n", + "fig.add_hline(\n", + " y=admin_recipients, line_dash=\"dash\",\n", + " line_color=\"black\", line_width=1,\n", + " annotation_text=\"Admin total\",\n", + " annotation_position=\"top right\",\n", + " row=1, col=1,\n", ")\n", "\n", - "fig.update_layout(\n", - " xaxis=dict(dtick=1, tick0=1),\n", - " paper_bgcolor=\"#F0F0F0\",\n", - " plot_bgcolor=\"#F0F0F0\",\n", - " yaxis_tickformat=\"$,.0f\",\n", - " hovermode=\"x unified\",\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=models, y=expenditures,\n", + " marker_color=model_colors[:len(models)],\n", + " showlegend=False,\n", + " ),\n", + " row=1, col=2,\n", + ")\n", + "fig.add_hline(\n", + " y=admin_expenditure / 1e9, line_dash=\"dash\",\n", + " line_color=\"black\", line_width=1,\n", + " annotation_text=\"Admin total\",\n", + " annotation_position=\"top right\",\n", + " row=1, col=2,\n", ")\n", "\n", - "fig.update_xaxes(showgrid=False)\n", - "fig.update_yaxes(showgrid=False)\n", + "fig.update_layout(\n", + " title=\"SSI outcomes with imputed wealth as countable resources\",\n", + " width=PLOT_CONFIG[\"width\"] + 200,\n", + " height=PLOT_CONFIG[\"height\"] - 100,\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", + ")\n", + "fig.update_xaxes(\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(tickformat=\",.0f\", row=1, col=1)\n", + "fig.update_yaxes(tickprefix=\"$\", tickformat=\".1f\", row=1, col=2)\n", "\n", "fig.show()" ] - }, - { - "cell_type": "markdown", - "id": "feda0d2f", - "metadata": {}, - "source": [ - "## Loading results onto the microimputation dashboard" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "9bcee9aa", - "metadata": {}, - "outputs": [], - "source": [ - "from microimpute.utils import format_csv\n", - "\n", - "imputation_results_combined = format_csv(\n", - " output_path=\"/Users/movil1/Desktop/PYTHONJOBS/PolicyEngine/microimpute/paper/scf_to_cps_imputation_results.csv\",\n", - " autoimpute_result=autoimpute_results.cv_results,\n", - " comparison_metrics_df=None,\n", - " distribution_comparison_df=distribution_comparison_results,\n", - " predictor_correlations=correlations,\n", - " predictor_importance_df=leave_one_out_results,\n", - " progressive_inclusion_df=predictor_inclusion_results['results_df'],\n", - " best_method_name=\"QRF\",\n", - " donor_data=scf_data,\n", - " receiver_data=autoimpute_results.receiver_data,\n", - " imputed_variables=imputed_variables,\n", - " n_histogram_bins=150,\n", - ")" - ] } ], "metadata": { From 3dfd631ae02bd807024ac3ae484431c4c8ac2ee2 Mon Sep 17 00:00:00 2001 From: juaristi22 Date: Sat, 21 Feb 2026 15:10:25 +0530 Subject: [PATCH 2/5] minor model improvements for tuning --- microimpute/models/matching.py | 10 ++++------ microimpute/models/mdn.py | 8 +++++--- microimpute/utils/statmatch_hotdeck.py | 15 ++++++++++++--- tests/test_models/test_mdn.py | 3 +++ 4 files changed, 24 insertions(+), 12 deletions(-) diff --git a/microimpute/models/matching.py b/microimpute/models/matching.py index ecbc3a9..e1c8747 100644 --- a/microimpute/models/matching.py +++ b/microimpute/models/matching.py @@ -511,7 +511,11 @@ def _fit( imputed_variables=imputed_variables, imputed_vars_dummy_info=self.imputed_vars_dummy_info, original_predictors=self.original_predictors, + categorical_targets=categorical_targets, + boolean_targets=boolean_targets, + dummy_processor=getattr(self, "dummy_processor", None), seed=self.seed, + log_level=self.log_level, hyperparameters=best_params, ), best_params, @@ -596,12 +600,6 @@ def objective(trial: optuna.Trial) -> float: "minimax", ], ), - "constrained": trial.suggest_categorical( - "constrained", [False, True] - ), - "constr_alg": trial.suggest_categorical( - "constr_alg", ["hungarian", "lpSolve"] - ), "k": trial.suggest_int("k", 1, 10), } diff --git a/microimpute/models/mdn.py b/microimpute/models/mdn.py index 53c61fe..fe78e68 100644 --- a/microimpute/models/mdn.py +++ b/microimpute/models/mdn.py @@ -187,7 +187,7 @@ def __init__( n_samples: int = 100, learning_rate: float = 1e-3, max_epochs: int = 100, - early_stopping_patience: int = 10, + early_stopping_patience: int = 50, batch_size: int = 256, ): self.seed = seed @@ -365,7 +365,7 @@ def __init__( use_batch_norm: bool = False, learning_rate: float = 1e-3, max_epochs: int = 100, - early_stopping_patience: int = 10, + early_stopping_patience: int = 50, batch_size: int = 256, ): self.seed = seed @@ -782,7 +782,7 @@ def __init__( # Training config learning_rate: float = 1e-3, max_epochs: int = 100, - early_stopping_patience: int = 10, + early_stopping_patience: int = 100, batch_size: int = 256, # Caching config model_dir: str = "./microimpute_models", @@ -1196,6 +1196,7 @@ def objective(trial: optuna.Trial) -> float: n_samples=self.n_samples, learning_rate=learning_rate, max_epochs=40, # Reduced for tuning + early_stopping_patience=(self.early_stopping_patience), batch_size=self.batch_size, ) model.fit(X_train_fold[predictors], y_train) @@ -1332,6 +1333,7 @@ def objective(trial: optuna.Trial) -> float: use_batch_norm=self.use_batch_norm, learning_rate=learning_rate, max_epochs=40, # Reduced for tuning + early_stopping_patience=(self.early_stopping_patience), batch_size=self.batch_size, ) model.fit( diff --git a/microimpute/utils/statmatch_hotdeck.py b/microimpute/utils/statmatch_hotdeck.py index fb67bd4..6e8712c 100644 --- a/microimpute/utils/statmatch_hotdeck.py +++ b/microimpute/utils/statmatch_hotdeck.py @@ -36,6 +36,17 @@ from rpy2.robjects.conversion import localconverter from rpy2.robjects.packages import importr +# Cache R package imports so they only happen once, avoiding repeated +# network calls to download CRAN mirror lists during hyperparameter tuning. +_statmatch_cache = {} + + +def _get_statmatch(): + """Return the cached StatMatch R package, importing it only once.""" + if "StatMatch" not in _statmatch_cache: + _statmatch_cache["StatMatch"] = importr("StatMatch") + return _statmatch_cache["StatMatch"] + @validate_call(config=VALIDATE_CONFIG) def nnd_hotdeck_using_rpy2( @@ -66,9 +77,7 @@ def nnd_hotdeck_using_rpy2( RuntimeError: If there is an unexpected error during the statistical matching process. """ - utils = importr("utils") - utils.chooseCRANmirror(ind=1) - StatMatch = importr("StatMatch") + StatMatch = _get_statmatch() try: missing_in_receiver = [ diff --git a/tests/test_models/test_mdn.py b/tests/test_models/test_mdn.py index 9e76bc6..886ab57 100644 --- a/tests/test_models/test_mdn.py +++ b/tests/test_models/test_mdn.py @@ -528,6 +528,7 @@ def test_mdn_hyperparameter_tuning_numeric( layers="16-8", max_epochs=5, # Short for testing batch_size=32, + early_stopping_patience=5, ) # Fit with tuning enabled @@ -568,6 +569,7 @@ def test_mdn_hyperparameter_tuning_categorical( layers="16-8", max_epochs=5, # Short for testing batch_size=32, + early_stopping_patience=5, ) # Fit with tuning enabled @@ -606,6 +608,7 @@ def test_mdn_hyperparameter_tuning_mixed( layers="16-8", max_epochs=5, # Short for testing batch_size=32, + early_stopping_patience=5, ) # Fit with tuning enabled From adc1c71acc8042e579756d591d5bf9561d659a51 Mon Sep 17 00:00:00 2001 From: juaristi22 Date: Sat, 21 Feb 2026 19:10:31 +0530 Subject: [PATCH 3/5] improved draft --- paper/bibliography/references.bib | 45 +- paper/figures/models_dist_comparison.png | Bin 0 -> 120806 bytes paper/figures/models_loss_benchmark.png | Bin 0 -> 73346 bytes .../models_median_decile_comparison.png | Bin 0 -> 52674 bytes paper/figures/models_ssi_comparison.png | Bin 0 -> 59115 bytes paper/imputing-from-scf-to-cps.ipynb | 477424 +++++++-------- paper/main.pdf | Bin 380122 -> 469392 bytes paper/main.tex | 11 +- paper/sections/abstract.tex | 2 +- paper/sections/appendix_benchmarking.tex | 76 + paper/sections/appendix_robustness.tex | 57 + paper/sections/background.tex | 10 +- paper/sections/conclusion.tex | 6 +- paper/sections/data.tex | 2 + paper/sections/discussion.tex | 18 +- paper/sections/introduction.tex | 6 +- paper/sections/methodology.tex | 81 +- paper/sections/results.tex | 128 +- 18 files changed, 229855 insertions(+), 248011 deletions(-) create mode 100644 paper/figures/models_dist_comparison.png create mode 100644 paper/figures/models_loss_benchmark.png create mode 100644 paper/figures/models_median_decile_comparison.png create mode 100644 paper/figures/models_ssi_comparison.png create mode 100644 paper/sections/appendix_benchmarking.tex create mode 100644 paper/sections/appendix_robustness.tex diff --git a/paper/bibliography/references.bib b/paper/bibliography/references.bib index 6b0b7ab..a2bf893 100644 --- a/paper/bibliography/references.bib +++ b/paper/bibliography/references.bib @@ -354,7 +354,7 @@ @inproceedings{lun2019multiple @article{meinshausen2006quantile, title = {Quantile regression forests}, - author = {Meinshausen, Nicolai and Ridgeway, Greg}, + author = {Meinshausen, Nicolai}, journal = {Journal of Machine Learning Research}, volume = {7}, number = {Jun}, @@ -432,7 +432,6 @@ @misc{policyengine2025microimpute title = {Microimpute documentation}, author = {{PolicyEngine}}, year = {2025}, - note = {Retrieved from}, url = {https://policyengine.github.io/microimpute/} } @@ -558,3 +557,45 @@ @misc{zillow2024quantile year = {2024}, url = {https://zillow.github.io/quantile-forest/} } + +@techreport{ssa2023ssi, + title = {{SSI} Annual Statistical Report, 2023}, + author = {{Social Security Administration}}, + institution = {Social Security Administration, Office of Retirement and Disability Policy}, + year = {2023}, + url = {https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/} +} + +@techreport{ssa2024ssi, + title = {{SSI} Annual Statistical Report, 2024}, + author = {{Social Security Administration}}, + institution = {Social Security Administration, Office of Retirement and Disability Policy}, + year = {2024}, + url = {https://www.ssa.gov/policy/docs/statcomps/ssi_asr/} +} + +@misc{policyengine_us, + title = {PolicyEngine {US}}, + author = {{PolicyEngine}}, + year = {2024}, + url = {https://github.com/PolicyEngine/policyengine-us}, + note = {Open-source tax-benefit microsimulation model for the United States} +} + +@article{vanschoren2014openml, + title = {{OpenML}: Networked science in machine learning}, + author = {Vanschoren, Joaquin and van Rijn, Jan N. and Bischl, Bernd and Torgo, Lu{\'\i}s}, + journal = {ACM SIGKDD Explorations Newsletter}, + volume = {15}, + number = {2}, + pages = {49--60}, + year = {2014} +} + +@inproceedings{akiba2019optuna, + title = {Optuna: A Next-generation Hyperparameter Optimization Framework}, + author = {Akiba, Takuya and Sano, Shotaro and Yanase, Toshihiko and Ohta, Takeru and Koyama, Masanori}, + booktitle = {Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery \& Data Mining}, + pages = {2623--2631}, + year = {2019} +} diff --git a/paper/figures/models_dist_comparison.png b/paper/figures/models_dist_comparison.png new file mode 100644 index 0000000000000000000000000000000000000000..39a466fff7aadcb8e21d572d54c1657bbc0f5cac GIT binary patch literal 120806 zcmZsD1y~gA_cpP>(g-45f;573r%Hz?-O?RO3oIof-6;yPA?bvJ!-122 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is_femaleageraceemployment_incomeinterest_dividend_incomepension_income
is_female1.000000-0.0188810.057994-0.085917-0.037146-0.055694
age-0.0188811.000000-0.2047760.0182040.0938070.283672
race0.057994-0.2047761.000000-0.046325-0.036117-0.111804
employment_income-0.0859170.018204-0.0463251.0000000.0567970.040700
interest_dividend_income-0.0371460.093807-0.0361170.0567971.0000000.121772
pension_income-0.0556940.283672-0.1118040.0407000.1217721.000000
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predictor_removedavg_quantile_lossavg_log_lossloss_increaserelative_impactbaseline_quantile_lossbaseline_log_loss
4interest_dividend_income3.596108e+0601.934385e+06116.4084201.661723e+060
3employment_income2.219377e+0605.576544e+0533.5588121.661723e+060
1age2.189845e+0605.281224e+0531.7816201.661723e+060
5pension_income1.875120e+0602.133975e+0512.8419441.661723e+060
2race1.728080e+0606.635777e+043.9933121.661723e+060
0is_female1.698452e+0603.672947e+042.2103251.661723e+060
\n", - "" - ], - "text/plain": [ - " predictor_removed avg_quantile_loss avg_log_loss loss_increase \\\n", - "4 interest_dividend_income 3.596108e+06 0 1.934385e+06 \n", - "3 employment_income 2.219377e+06 0 5.576544e+05 \n", - "1 age 2.189845e+06 0 5.281224e+05 \n", - "5 pension_income 1.875120e+06 0 2.133975e+05 \n", - "2 race 1.728080e+06 0 6.635777e+04 \n", - "0 is_female 1.698452e+06 0 3.672947e+04 \n", - "\n", - " relative_impact baseline_quantile_loss baseline_log_loss \n", - "4 116.408420 1.661723e+06 0 \n", - "3 33.558812 1.661723e+06 0 \n", - "1 31.781620 1.661723e+06 0 \n", - "5 12.841944 1.661723e+06 0 \n", - "2 3.993312 1.661723e+06 0 \n", - "0 2.210325 1.661723e+06 0 " - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "leave_one_out_results" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "3581c6a8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimal subset: ['interest_dividend_income', 'age', 'employment_income', 'pension_income', 'race', 'is_female']\n", - "Optimal loss: 1685442.3953846218\n", - " step predictor_added \\\n", - "0 1 interest_dividend_income \n", - "1 2 age \n", - "2 3 employment_income \n", - "3 4 pension_income \n", - "4 5 race \n", - "5 6 is_female \n", - "\n", - " predictors_included avg_quantile_loss \\\n", - "0 [interest_dividend_income] 5.037628e+06 \n", - "1 [interest_dividend_income, age] 2.752098e+06 \n", - "2 [interest_dividend_income, age, employment_inc... 1.932222e+06 \n", - "3 [interest_dividend_income, age, employment_inc... 1.737197e+06 \n", - "4 [interest_dividend_income, age, employment_inc... 1.704094e+06 \n", - "5 [interest_dividend_income, age, employment_inc... 1.685442e+06 \n", - "\n", - " avg_log_loss cumulative_improvement marginal_improvement \n", - "0 0 0.000000e+00 0.000000e+00 \n", - "1 0 2.285529e+06 2.285529e+06 \n", - "2 0 3.105406e+06 8.198762e+05 \n", - "3 0 3.300430e+06 1.950246e+05 \n", - "4 0 3.333533e+06 3.310285e+04 \n", - "5 0 3.352185e+06 1.865204e+04 \n" - ] - } - ], - "source": [ - "print(f\"Optimal subset: {predictor_inclusion_results['optimal_subset']}\")\n", - "print(f\"Optimal loss: {predictor_inclusion_results['optimal_loss']}\")\n", - "\n", - "# For step-by-step details:\n", - "print(predictor_inclusion_results['results_df'])" - ] - }, - { - "cell_type": "markdown", - "id": "62ef14a3", - "metadata": {}, - "source": [ - "## Evaluating wealth imputations\n", - "\n", - "To assess the imputation results, a comparison of the distribution of wealth in the original SCF data with the imputed values in the CPS allows examining how well the imputation preserves important characteristics of the wealth distribution, such as its shape, central tendency, and dispersion.\n", - "\n", - "Wealth distributions are typically highly skewed, with a long right tail representing a small number of households with very high net worth. A successful imputation should preserve this characteristic skewness while maintaining realistic values across the entire distribution. Examining both the raw distributions and log-transformed versions of wealth values can better capture important information for evaluation." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "db073e13", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Model: best_method, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 581540.344028\n", - "Model: OLS, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 895501.985726\n", - "Model: QuantReg, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 2.618205e+07\n", - "Model: Matching, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.011874e+06\n", - "Model: MDN, distribution similarity: \n", - " Variable Metric Distance\n", - "0 networth wasserstein_distance 554053.4217\n" - ] - } - ], - "source": [ - "from microimpute.comparisons.metrics import compare_distributions\n", - "\n", - "for model, imputations in autoimpute_results.imputations.items():\n", - " print(f\"Model: {model}, distribution similarity: \\n{compare_distributions(\n", - " donor_data=pd.DataFrame(scf_data[\"networth\"]),\n", - " receiver_data=pd.DataFrame(imputations[\"networth\"]),\n", - " donor_weights=scf_data[\"wgt\"],\n", - " receiver_weights=cps_data[\"household_weight\"],\n", - " imputed_variables=imputed_variables,\n", - ")}\")\n", - " if model == \"best_method\":\n", - " distribution_comparison_results = compare_distributions(\n", - " donor_data=pd.DataFrame(scf_data[\"networth\"]),\n", - " receiver_data=pd.DataFrame(imputations[\"networth\"]),\n", - " donor_weights=scf_data[\"wgt\"],\n", - " receiver_weights=cps_data[\"household_weight\"],\n", - " imputed_variables=imputed_variables,\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "643cb47d", - "metadata": {}, - "outputs": [], - "source": [ - "def plot_all_models_log_distributions(\n", - " donor_data,\n", - " model_results,\n", - " donor_weights,\n", - " receiver_weights,\n", - " title=None,\n", - "):\n", - " \"\"\"Plot log-transformed net worth distributions in a 3x2 grid.\n", - "\n", - " First subplot shows only the weighted donor distribution.\n", - " Remaining five subplots overlay each model's imputations with the donor.\n", - "\n", - " Args:\n", - " donor_data: Original donor data with networth column\n", - " model_results: Dictionary mapping model names to their imputed dataframes\n", - " (should contain exactly 5 models)\n", - " donor_weights: Weights for the donor data\n", - " receiver_weights: Weights for the receiver data\n", - " title: Optional title for the entire figure\n", - "\n", - " Returns:\n", - " Plotly figure with 6 subplots (percentage histograms)\n", - " \"\"\"\n", - " from plotly.subplots import make_subplots\n", - " import plotly.graph_objects as go\n", - "\n", - " colors = [\n", - " \"#CC6677\", # Rose\n", - " \"#DDCC77\", # Sand\n", - " \"#117733\", # Green\n", - " \"#332288\", # Indigo\n", - " \"#88CCEE\", # Cyan\n", - " ]\n", - "\n", - " # Normalize weights\n", - " donor_weights_normalized = donor_weights / donor_weights.sum()\n", - " receiver_weights_normalized = receiver_weights / receiver_weights.sum()\n", - "\n", - " # Sample donor data with weights\n", - " donor_sampled = donor_data.sample(\n", - " n=len(donor_data),\n", - " replace=True,\n", - " weights=donor_weights_normalized,\n", - " random_state=405,\n", - " ).reset_index(drop=True)\n", - "\n", - " # Define safe log transformation\n", - " def safe_log(x):\n", - " sign = np.sign(x)\n", - " log_x = np.log10(np.maximum(np.abs(x), 1e-10))\n", - " return sign * log_x\n", - "\n", - " # Calculate donor log values\n", - " donor_log = safe_log(donor_sampled[\"networth\"])\n", - " donor_log_median = np.median(donor_log)\n", - " donor_log_mean = np.mean(donor_log)\n", - "\n", - " # Subplot titles: first is donor only, rest are models\n", - " model_names = list(model_results.keys())\n", - " subplot_titles = [\"SCF Donor Distribution (Weighted)\"] + model_names\n", - "\n", - " # Create 3x2 subplots (3 rows, 2 columns)\n", - " fig = make_subplots(\n", - " rows=3,\n", - " cols=2,\n", - " subplot_titles=subplot_titles,\n", - " vertical_spacing=0.10,\n", - " horizontal_spacing=0.08,\n", - " )\n", - "\n", - " # Define colors\n", - " donor_color = \"#999999\"\n", - "\n", - " # Custom tick formatting\n", - " tick_values = [-6, -4, -2, 0, 2, 4, 6, 8]\n", - " tick_labels = [\n", - " \"$\" + format(10**x if x >= 0 else -(10 ** abs(x)), \",.0f\")\n", - " for x in tick_values\n", - " ]\n", - "\n", - " # Plot positions for 3x2 grid (row, col)\n", - " positions = [(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2)]\n", - "\n", - " # First subplot: Donor distribution only\n", - " row, col = positions[0]\n", - " fig.add_trace(\n", - " go.Histogram(\n", - " x=donor_log,\n", - " nbinsx=200,\n", - " opacity=0.7,\n", - " name=\"SCF (weighted)\",\n", - " marker_color=donor_color,\n", - " histnorm=\"percent\",\n", - " showlegend=True,\n", - " ),\n", - " row=row,\n", - " col=col,\n", - " )\n", - "\n", - " # Add median line for donor\n", - " fig.add_trace(\n", - " go.Scatter(\n", - " x=[donor_log_median, donor_log_median],\n", - " y=[0, 10],\n", - " mode=\"lines\",\n", - " line=dict(color=donor_color, width=2, dash=\"dash\"),\n", - " name=f\"SCF Median: ${10**donor_log_median:,.0f}\",\n", - " showlegend=True,\n", - " ),\n", - " row=row,\n", - " col=col,\n", - " )\n", - "\n", - " # Add statistics annotation for donor subplot\n", - " fig.add_annotation(\n", - " x=7,\n", - " y=9,\n", - " xref=\"x\",\n", - " yref=\"y\",\n", - " text=f\"Median: ${10**donor_log_median:,.0f}
Mean: ${10**donor_log_mean:,.0f}\",\n", - " showarrow=False,\n", - " bgcolor=\"rgba(255,255,255,0.8)\",\n", - " bordercolor=\"rgba(0,0,0,0.3)\",\n", - " borderwidth=1,\n", - " font=dict(size=10),\n", - " xanchor=\"right\",\n", - " yanchor=\"top\",\n", - " )\n", - "\n", - " # Remaining subplots: Model imputations overlaid with donor\n", - " for idx, (model_name, imputed_data) in enumerate(model_results.items()):\n", - " subplot_idx = idx + 1 # Skip first subplot\n", - " row, col = positions[subplot_idx]\n", - " model_color = colors[idx % len(colors)]\n", - "\n", - " # Sample receiver data with weights\n", - " receiver_sampled = imputed_data.sample(\n", - " n=len(imputed_data),\n", - " replace=True,\n", - " weights=receiver_weights_normalized,\n", - " random_state=405,\n", - " ).reset_index(drop=True)\n", - "\n", - " # Calculate model log values\n", - " model_log = safe_log(receiver_sampled[\"networth\"])\n", - " model_log_median = np.median(model_log)\n", - " model_log_mean = np.mean(model_log)\n", - "\n", - " # Add donor histogram (grey/transparent background)\n", - " fig.add_trace(\n", - " go.Histogram(\n", - " x=donor_log,\n", - " nbinsx=200,\n", - " opacity=0.3,\n", - " name=\"SCF (weighted)\",\n", - " marker_color=donor_color,\n", - " histnorm=\"percent\",\n", - " showlegend=False,\n", - " ),\n", - " row=row,\n", - " col=col,\n", - " )\n", - "\n", - " # Add model histogram\n", - " fig.add_trace(\n", - " go.Histogram(\n", - " x=model_log,\n", - " nbinsx=200,\n", - " opacity=0.75,\n", - " name=model_name.replace(\" imputations\", \"\"),\n", - " marker_color=model_color,\n", - " histnorm=\"percent\",\n", - " showlegend=True,\n", - " ),\n", - " row=row,\n", - " col=col,\n", - " )\n", - "\n", - " # Add donor median line (grey dashed)\n", - " fig.add_trace(\n", - " go.Scatter(\n", - " x=[donor_log_median, donor_log_median],\n", - " y=[0, 10],\n", - " mode=\"lines\",\n", - " line=dict(color=donor_color, width=2, dash=\"dash\"),\n", - " name=\"SCF Median\",\n", - " showlegend=False,\n", - " ),\n", - " row=row,\n", - " col=col,\n", - " )\n", - "\n", - " # Add model median line\n", - " fig.add_trace(\n", - " go.Scatter(\n", - " x=[model_log_median, model_log_median],\n", - " y=[0, 10],\n", - " mode=\"lines\",\n", - " line=dict(color=model_color, width=2, dash=\"dash\"),\n", - " name=f\"{model_name} Median\",\n", - " showlegend=False,\n", - " ),\n", - " row=row,\n", - " col=col,\n", - " )\n", - "\n", - " # Determine axis references for annotations\n", - " axis_num = subplot_idx + 1\n", - " if axis_num == 1:\n", - " xref, yref = \"x\", \"y\"\n", - " else:\n", - " xref, yref = f\"x{axis_num}\", f\"y{axis_num}\"\n", - "\n", - " # Add statistics annotation\n", - " fig.add_annotation(\n", - " x=7,\n", - " y=9,\n", - " xref=xref,\n", - " yref=yref,\n", - " text=f\"Median: ${10**model_log_median:,.0f}
Mean: ${10**model_log_mean:,.0f}\",\n", - " showarrow=False,\n", - " bgcolor=\"rgba(255,255,255,0.8)\",\n", - " bordercolor=\"rgba(0,0,0,0.3)\",\n", - " borderwidth=1,\n", - " font=dict(size=10),\n", - " xanchor=\"right\",\n", - " yanchor=\"top\",\n", - " )\n", - "\n", - " # Update layout\n", - " fig.update_layout(\n", - " title=dict(\n", - " text=(\n", - " title\n", - " if title\n", - " else \"Log-transformed Net Worth Imputations by Model\"\n", - " ),\n", - " font=dict(size=18),\n", - " x=0.5,\n", - " xanchor=\"center\",\n", - " ),\n", - " height=900,\n", - " width=1000,\n", - " showlegend=True,\n", - " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", - " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", - " legend=dict(\n", - " x=0.5,\n", - " y=-0.15,\n", - " xanchor=\"center\",\n", - " yanchor=\"top\",\n", - " orientation=\"h\",\n", - " bgcolor=\"rgba(255,255,255,0.8)\",\n", - " bordercolor=\"rgba(0,0,0,0.3)\",\n", - " borderwidth=1,\n", - " ),\n", - " barmode=\"overlay\",\n", - " margin=dict(t=80, r=80, b=80),\n", - " )\n", - "\n", - " # Update all axes\n", - " for i in range(1, 7):\n", - " row_num = (i - 1) // 2 + 1\n", - " col_num = (i - 1) % 2 + 1\n", - "\n", - " fig.update_xaxes(\n", - " tickvals=tick_values,\n", - " ticktext=tick_labels,\n", - " title_text=\"Net Worth (log scale)\" if row_num == 3 else \"\",\n", - " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", - " showline=PLOT_CONFIG[\"showline\"],\n", - " linecolor=PLOT_CONFIG[\"linecolor\"],\n", - " row=row_num,\n", - " col=col_num,\n", - " )\n", - " fig.update_yaxes(\n", - " range=[0, 10],\n", - " title_text=\"Percentage\" if col_num == 1 else \"\",\n", - " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", - " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", - " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", - " showline=PLOT_CONFIG[\"showline\"],\n", - " linecolor=PLOT_CONFIG[\"linecolor\"],\n", - " row=row_num,\n", - " col=col_num,\n", - " )\n", - "\n", - " return fig" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "4f9709f4", - "metadata": {}, - 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}, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "weights_col = scf_data[\"wgt\"].values\n", + "weights_normalized = weights_col / weights_col.sum()\n", + "scf_data_weighted = scf_data.sample(\n", + " n=len(scf_data),\n", + " replace=True,\n", + " weights=weights_normalized,\n", + ").reset_index(drop=True)\n", + "\n", + "\n", + "# Create a combined plot comparing weighted and unweighted SCF distributions\n", + "def safe_log10(x):\n", + " \"\"\"Apply log10 to absolute values, preserving sign.\"\"\"\n", + " sign = np.sign(x)\n", + " log_x = np.log10(np.maximum(np.abs(x), 1e-10))\n", + " return sign * log_x\n", + "\n", + "\n", + "# Apply safe log transformation to both datasets\n", + "scf_log = safe_log10(scf_data[\"networth\"])\n", + "scf_weighted_log = safe_log10(scf_data_weighted[\"networth\"])\n", + "\n", + "colors = PLOT_CONFIG[\"color_palette\"]\n", + "\n", + "# Create the figure\n", + "fig = go.Figure()\n", + "\n", + "# Add unweighted SCF histogram\n", + "fig.add_trace(\n", + " go.Histogram(\n", + " x=scf_log,\n", + " nbinsx=200,\n", + " opacity=0.7,\n", + " name=\"SCF Unweighted\",\n", + " marker_color=colors[0],\n", + " histnorm=\"percent\",\n", + " )\n", + ")\n", + "\n", + "# Add weighted SCF histogram\n", + "fig.add_trace(\n", + " go.Histogram(\n", + " x=scf_weighted_log,\n", + " nbinsx=200,\n", + " opacity=0.7,\n", + " name=\"SCF Weighted (through sampling)\",\n", + " marker_color=colors[1],\n", + " histnorm=\"percent\",\n", + " )\n", + ")\n", + "\n", + "# Calculate statistics for both distributions\n", + "unweighted_median = np.median(scf_log)\n", + "weighted_median = np.median(scf_weighted_log)\n", + "unweighted_mean = np.mean(scf_log)\n", + "weighted_mean = np.mean(scf_weighted_log)\n", + "\n", + "# Add median lines\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=[unweighted_median, unweighted_median],\n", + " y=[0, 8],\n", + " mode=\"lines\",\n", + " line=dict(color=colors[0], width=2, dash=\"dash\"),\n", + " name=f\"Unweighted Median: ${10**unweighted_median:,.0f}\",\n", + " )\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Scatter(\n", + " x=[weighted_median, weighted_median],\n", + " y=[0, 8],\n", + " mode=\"lines\",\n", + " line=dict(color=colors[1], width=2, dash=\"dash\"),\n", + " name=f\"Weighted Median: ${10**weighted_median:,.0f}\",\n", + " )\n", + ")\n", + "\n", + "# Update layout\n", + "fig.update_layout(\n", + " title=\"SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)\",\n", + " width=PLOT_CONFIG[\"width\"],\n", + " height=PLOT_CONFIG[\"height\"],\n", + " barmode=\"overlay\",\n", + " bargap=0.1,\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", + " legend=dict(\n", + " x=0.01,\n", + " y=0.99,\n", + " bgcolor=\"rgba(255,255,255,0.8)\",\n", + " bordercolor=\"rgba(0,0,0,0.3)\",\n", + " borderwidth=1,\n", + " orientation=\"v\",\n", + " xanchor=\"left\",\n", + " yanchor=\"top\",\n", + " ),\n", + ")\n", + "\n", + "# Custom tick formatting for x-axis\n", + "tick_values = [-6, -4, -2, 0, 2, 4, 6, 8, 10]\n", + "tick_labels = []\n", + "for x in tick_values:\n", + " if x >= 0:\n", + " tick_labels.append(f\"${10**x:,.0f}\")\n", + " else:\n", + " tick_labels.append(f\"-${10**abs(x):,.0f}\")\n", + "\n", + "fig.update_xaxes(\n", + " tickvals=tick_values,\n", + " ticktext=tick_labels,\n", + " title_text=\"Net Worth (log10 scale)\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(\n", + " title_text=\"Percentage\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "\n", + "# Add annotations with statistics\n", + "fig.add_annotation(\n", + " x=0.98,\n", + " y=0.95,\n", + " xref=\"paper\",\n", + " yref=\"paper\",\n", + " text=(\n", + " f\"Unweighted:
\"\n", + " f\"Median: ${10**unweighted_median:,.0f}
\"\n", + " f\"Mean: ${10**unweighted_mean:,.0f}

\"\n", + " f\"Weighted:
\"\n", + " f\"Median: ${10**weighted_median:,.0f}
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- "xaxis": "x2", - "yaxis": "y2" + "text": "Autoimpute method comparison" }, - { - "line": { - "color": "#999999", - "dash": "dash", - "width": 2 - }, - "mode": "lines", - "name": "SCF Median", - "showlegend": false, - "type": "scatter", - "x": [ - 5.31663430657071, - 5.31663430657071 - ], - "xaxis": "x2", - "y": [ + "width": 750, + "xaxis": { + "anchor": "y", + "domain": [ 0, - 10 + 1 ], - "yaxis": "y2" - }, - { - "line": { - "color": "#CC6677", - "dash": "dash", - "width": 2 + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": false, + "showline": true, + "title": { + "font": { + "size": 12 + }, + "text": "Quantiles" }, - "mode": "lines", - "name": "OLS Median", - "showlegend": false, - "type": "scatter", - "x": [ - 4.212765423864252, - 4.212765423864252 - ], - "xaxis": "x2", - "y": [ + "zeroline": false + }, + "yaxis": { + "anchor": "x", + "domain": [ 0, - 10 + 1 ], - "yaxis": "y2" - }, + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "title": { + "font": { + "size": 12 + }, + "text": "Quantile loss" + }, + "zeroline": false + } + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from microimpute.visualizations.comparison_plots import method_comparison_results\n", + "\n", + "comparison_viz = method_comparison_results(\n", + " data=autoimpute_results.cv_results,\n", + " metric=\"quantile_loss\",\n", + " data_format=\"wide\",\n", + ")\n", + "fig = comparison_viz.plot(\n", + " title=\"Autoimpute method comparison\",\n", + " show_mean=True,\n", + ")\n", + "fig.show()" + ] + }, + { + "cell_type": "markdown", + "id": "7e92e41c", + "metadata": {}, + "source": [ + "## Evaluating predictors' influence on the imputation results\n", + "\n", + "To understand the relationship between the variables we have selected as predictors and the imputation results obtained, we can assess correlation between predictors, and the sensitivity that our results demonstrate to a different number or sequence of predictors used." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "8ee36de3", + "metadata": {}, + "outputs": [], + "source": [ + "from microimpute.evaluations.predictor_analysis import compute_predictor_correlations\n", + "\n", + "correlations = compute_predictor_correlations(scf_data, predictors, imputed_variables)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "7a6a13b6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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is_femaleageown_children_in_householdraceemployment_incomeinterest_dividend_incomepension_income
is_female1.000000-0.018881-0.0635680.057994-0.085917-0.037146-0.055694
age-0.0188811.000000-0.327560-0.2047760.0182040.0938070.283672
own_children_in_household-0.063568-0.3275601.0000000.1559800.013922-0.040177-0.130564
race0.057994-0.2047760.1559801.000000-0.046325-0.036117-0.111804
employment_income-0.0859170.0182040.013922-0.0463251.0000000.0567970.040700
interest_dividend_income-0.0371460.093807-0.040177-0.0361170.0567971.0000000.121772
pension_income-0.0556940.283672-0.130564-0.1118040.0407000.1217721.000000
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" + ], + "text/plain": [ + " is_female age own_children_in_household \\\n", + "is_female 1.000000 -0.018881 -0.063568 \n", + "age -0.018881 1.000000 -0.327560 \n", + "own_children_in_household -0.063568 -0.327560 1.000000 \n", + "race 0.057994 -0.204776 0.155980 \n", + "employment_income -0.085917 0.018204 0.013922 \n", + "interest_dividend_income -0.037146 0.093807 -0.040177 \n", + "pension_income -0.055694 0.283672 -0.130564 \n", + "\n", + " race employment_income \\\n", + "is_female 0.057994 -0.085917 \n", + "age -0.204776 0.018204 \n", + "own_children_in_household 0.155980 0.013922 \n", + "race 1.000000 -0.046325 \n", + "employment_income -0.046325 1.000000 \n", + "interest_dividend_income -0.036117 0.056797 \n", + "pension_income -0.111804 0.040700 \n", + "\n", + " interest_dividend_income pension_income \n", + "is_female -0.037146 -0.055694 \n", + "age 0.093807 0.283672 \n", + "own_children_in_household -0.040177 -0.130564 \n", + "race -0.036117 -0.111804 \n", + "employment_income 0.056797 0.040700 \n", + "interest_dividend_income 1.000000 0.121772 \n", + "pension_income 0.121772 1.000000 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "correlations[\"pearson\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e5de4cfe", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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predictor_removedavg_quantile_lossavg_log_lossloss_increaserelative_impactbaseline_quantile_lossbaseline_log_loss
5interest_dividend_income3.240984e+0601.668592e+06106.1180601.572392e+060
4employment_income2.011281e+0604.388883e+0527.9121401.572392e+060
1age1.948841e+0603.764485e+0523.9411301.572392e+060
6pension_income1.691464e+0601.190717e+057.5726461.572392e+060
2own_children_in_household1.661723e+0608.933042e+045.6811791.572392e+060
3race1.614550e+0604.215818e+042.6811491.572392e+060
0is_female1.584438e+0601.204559e+040.7660681.572392e+060
\n", + "" + ], + "text/plain": [ + " predictor_removed avg_quantile_loss avg_log_loss loss_increase \\\n", + "5 interest_dividend_income 3.240984e+06 0 1.668592e+06 \n", + "4 employment_income 2.011281e+06 0 4.388883e+05 \n", + "1 age 1.948841e+06 0 3.764485e+05 \n", + "6 pension_income 1.691464e+06 0 1.190717e+05 \n", + "2 own_children_in_household 1.661723e+06 0 8.933042e+04 \n", + "3 race 1.614550e+06 0 4.215818e+04 \n", + "0 is_female 1.584438e+06 0 1.204559e+04 \n", + "\n", + " relative_impact baseline_quantile_loss baseline_log_loss \n", + "5 106.118060 1.572392e+06 0 \n", + "4 27.912140 1.572392e+06 0 \n", + "1 23.941130 1.572392e+06 0 \n", + "6 7.572646 1.572392e+06 0 \n", + "2 5.681179 1.572392e+06 0 \n", + "3 2.681149 1.572392e+06 0 \n", + "0 0.766068 1.572392e+06 0 " + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "leave_one_out_results" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "3581c6a8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal subset: ['interest_dividend_income', 'age', 'employment_income', 'pension_income', 'own_children_in_household', 'race', 'is_female']\n", + "Optimal loss: 1568962.659746099\n", + " step predictor_added \\\n", + "0 1 interest_dividend_income \n", + "1 2 age \n", + "2 3 employment_income \n", + "3 4 pension_income \n", + "4 5 own_children_in_household \n", + "5 6 race \n", + "6 7 is_female \n", + "\n", + " predictors_included avg_quantile_loss \\\n", + "0 [interest_dividend_income] 5.037628e+06 \n", + "1 [interest_dividend_income, age] 2.752098e+06 \n", + "2 [interest_dividend_income, age, employment_inc... 1.932222e+06 \n", + "3 [interest_dividend_income, age, employment_inc... 1.737197e+06 \n", + "4 [interest_dividend_income, age, employment_inc... 1.632692e+06 \n", + "5 [interest_dividend_income, age, employment_inc... 1.584996e+06 \n", + "6 [interest_dividend_income, age, employment_inc... 1.568963e+06 \n", + "\n", + " avg_log_loss cumulative_improvement marginal_improvement \n", + "0 0 0.000000e+00 0.000000e+00 \n", + "1 0 2.285529e+06 2.285529e+06 \n", + "2 0 3.105406e+06 8.198762e+05 \n", + "3 0 3.300430e+06 1.950246e+05 \n", + "4 0 3.404935e+06 1.045049e+05 \n", + "5 0 3.452631e+06 4.769631e+04 \n", + "6 0 3.468665e+06 1.603345e+04 \n" + ] + } + ], + "source": [ + "print(f\"Optimal subset: {predictor_inclusion_results['optimal_subset']}\")\n", + "print(f\"Optimal loss: {predictor_inclusion_results['optimal_loss']}\")\n", + "\n", + "# For step-by-step details:\n", + "print(predictor_inclusion_results['results_df'])" + ] + }, + { + "cell_type": "markdown", + "id": "62ef14a3", + "metadata": {}, + "source": [ + "## Evaluating wealth imputations\n", + "\n", + "To assess the imputation results, a comparison of the distribution of wealth in the original SCF data with the imputed values in the CPS allows examining how well the imputation preserves important characteristics of the wealth distribution, such as its shape, central tendency, and dispersion.\n", + "\n", + "Wealth distributions are typically highly skewed, with a long right tail representing a small number of households with very high net worth. A successful imputation should preserve this characteristic skewness while maintaining realistic values across the entire distribution. Examining both the raw distributions and log-transformed versions of wealth values can better capture important information for evaluation." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "db073e13", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model: best_method, distribution similarity: \n", + " Variable Metric Distance\n", + "0 networth wasserstein_distance 910298.510146\n", + "Model: OLS, distribution similarity: \n", + " Variable Metric Distance\n", + "0 networth wasserstein_distance 6.799487e+07\n", + "Model: QuantReg, distribution similarity: \n", + " Variable Metric Distance\n", + "0 networth wasserstein_distance 1.217437e+14\n", + "Model: Matching, distribution similarity: \n", + " Variable Metric Distance\n", + "0 networth wasserstein_distance 1.192141e+06\n", + "Model: MDN, distribution similarity: \n", + " Variable Metric Distance\n", + "0 networth wasserstein_distance 8.226257e+14\n" + ] + } + ], + "source": [ + "from microimpute.comparisons.metrics import compare_distributions\n", + "\n", + "for model, imputations in autoimpute_results.imputations.items():\n", + " print(f\"Model: {model}, distribution similarity: \\n{compare_distributions(\n", + " donor_data=pd.DataFrame(scf_data[\"networth\"]),\n", + " receiver_data=pd.DataFrame(imputations[\"networth\"]),\n", + " donor_weights=scf_data[\"wgt\"],\n", + " receiver_weights=cps_data[\"household_weight\"],\n", + " imputed_variables=imputed_variables,\n", + ")}\")\n", + " if model == \"best_method\":\n", + " distribution_comparison_results = compare_distributions(\n", + " donor_data=pd.DataFrame(scf_data[\"networth\"]),\n", + " receiver_data=pd.DataFrame(imputations[\"networth\"]),\n", + " donor_weights=scf_data[\"wgt\"],\n", + " receiver_weights=cps_data[\"household_weight\"],\n", + " imputed_variables=imputed_variables,\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "643cb47d", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_all_models_log_distributions(\n", + " donor_data,\n", + " model_results,\n", + " donor_weights,\n", + " receiver_weights,\n", + " title=None,\n", + "):\n", + " \"\"\"Plot log-transformed net worth distributions in a 3x2 grid.\n", + "\n", + " First subplot shows only the weighted donor distribution.\n", + " Remaining five subplots overlay each model's imputations with the donor.\n", + "\n", + " Args:\n", + " donor_data: Original donor data with networth column\n", + " model_results: Dictionary mapping model names to their imputed dataframes\n", + " (should contain exactly 5 models)\n", + " donor_weights: Weights for the donor data\n", + " receiver_weights: Weights for the receiver data\n", + " title: Optional title for the entire figure\n", + "\n", + " Returns:\n", + " Plotly figure with 6 subplots (percentage histograms)\n", + " \"\"\"\n", + " from plotly.subplots import make_subplots\n", + " import plotly.graph_objects as go\n", + "\n", + " colors = [\n", + " \"#CC6677\", # Rose\n", + " \"#DDCC77\", # Sand\n", + " \"#117733\", # Green\n", + " \"#332288\", # Indigo\n", + " \"#88CCEE\", # Cyan\n", + " ]\n", + "\n", + " # Normalize weights\n", + " donor_weights_normalized = donor_weights / donor_weights.sum()\n", + " receiver_weights_normalized = receiver_weights / receiver_weights.sum()\n", + "\n", + " # Sample donor data with weights\n", + " donor_sampled = donor_data.sample(\n", + " n=len(donor_data),\n", + " replace=True,\n", + " weights=donor_weights_normalized,\n", + " random_state=405,\n", + " ).reset_index(drop=True)\n", + "\n", + " # Define safe log transformation\n", + " def safe_log(x):\n", + " sign = np.sign(x)\n", + " log_x = np.log10(np.maximum(np.abs(x), 1e-10))\n", + " return sign * log_x\n", + "\n", + " # Calculate donor log values\n", + " donor_log = safe_log(donor_sampled[\"networth\"])\n", + " donor_log_median = np.median(donor_log)\n", + " donor_log_mean = np.mean(donor_log)\n", + "\n", + " # Subplot titles: first is donor only, rest are models\n", + " model_names = list(model_results.keys())\n", + " subplot_titles = [\"SCF Donor Distribution (Weighted)\"] + model_names\n", + "\n", + " # Create 3x2 subplots (3 rows, 2 columns)\n", + " fig = make_subplots(\n", + " rows=3,\n", + " cols=2,\n", + " subplot_titles=subplot_titles,\n", + " vertical_spacing=0.10,\n", + " horizontal_spacing=0.08,\n", + " )\n", + "\n", + " # Define colors\n", + " donor_color = \"#999999\"\n", + "\n", + " # Custom tick formatting\n", + " tick_values = [-6, -4, -2, 0, 2, 4, 6, 8]\n", + " tick_labels = [\n", + " \"$\" + format(10**x if x >= 0 else -(10 ** abs(x)), \",.0f\")\n", + " for x in tick_values\n", + " ]\n", + "\n", + " # Plot positions for 3x2 grid (row, col)\n", + " positions = [(1, 1), (1, 2), (2, 1), (2, 2), (3, 1), (3, 2)]\n", + "\n", + " # First subplot: Donor distribution only\n", + " row, col = positions[0]\n", + " fig.add_trace(\n", + " go.Histogram(\n", + " x=donor_log,\n", + " nbinsx=200,\n", + " opacity=0.7,\n", + " name=\"SCF (weighted)\",\n", + " marker_color=donor_color,\n", + " histnorm=\"percent\",\n", + " showlegend=True,\n", + " ),\n", + " row=row,\n", + " col=col,\n", + " )\n", + "\n", + " # Add median line for donor\n", + " fig.add_trace(\n", + " go.Scatter(\n", + " x=[donor_log_median, donor_log_median],\n", + " y=[0, 10],\n", + " mode=\"lines\",\n", + " line=dict(color=donor_color, width=2, dash=\"dash\"),\n", + " name=f\"SCF Median: ${10**donor_log_median:,.0f}\",\n", + " showlegend=True,\n", + " ),\n", + " row=row,\n", + " col=col,\n", + " )\n", + "\n", + " # Add statistics annotation for donor subplot\n", + " fig.add_annotation(\n", + " x=7,\n", + " y=9,\n", + " xref=\"x\",\n", + " yref=\"y\",\n", + " text=f\"Median: ${10**donor_log_median:,.0f}
Mean: ${10**donor_log_mean:,.0f}\",\n", + " showarrow=False,\n", + " bgcolor=\"rgba(255,255,255,0.8)\",\n", + " bordercolor=\"rgba(0,0,0,0.3)\",\n", + " borderwidth=1,\n", + " font=dict(size=10),\n", + " xanchor=\"right\",\n", + " yanchor=\"top\",\n", + " )\n", + "\n", + " # Remaining subplots: Model imputations overlaid with donor\n", + " for idx, (model_name, imputed_data) in enumerate(model_results.items()):\n", + " subplot_idx = idx + 1 # Skip first subplot\n", + " row, col = positions[subplot_idx]\n", + " model_color = colors[idx % len(colors)]\n", + "\n", + " # Sample receiver data with weights\n", + " receiver_sampled = imputed_data.sample(\n", + " n=len(imputed_data),\n", + " replace=True,\n", + " weights=receiver_weights_normalized,\n", + " random_state=405,\n", + " ).reset_index(drop=True)\n", + "\n", + " # Calculate model log values\n", + " model_log = safe_log(receiver_sampled[\"networth\"])\n", + " model_log_median = np.median(model_log)\n", + " model_log_mean = np.mean(model_log)\n", + "\n", + " # Add donor histogram (grey/transparent background)\n", + " fig.add_trace(\n", + " go.Histogram(\n", + " x=donor_log,\n", + " nbinsx=200,\n", + " opacity=0.3,\n", + " name=\"SCF (weighted)\",\n", + " marker_color=donor_color,\n", + " histnorm=\"percent\",\n", + " showlegend=False,\n", + " ),\n", + " row=row,\n", + " col=col,\n", + " )\n", + "\n", + " # Add model histogram\n", + " fig.add_trace(\n", + " go.Histogram(\n", + " x=model_log,\n", + " nbinsx=200,\n", + " opacity=0.75,\n", + " name=model_name.replace(\" imputations\", \"\"),\n", + " marker_color=model_color,\n", + " histnorm=\"percent\",\n", + " showlegend=True,\n", + " ),\n", + " row=row,\n", + " col=col,\n", + " )\n", + "\n", + " # Add donor median line (grey dashed)\n", + " fig.add_trace(\n", + " go.Scatter(\n", + " x=[donor_log_median, donor_log_median],\n", + " y=[0, 10],\n", + " mode=\"lines\",\n", + " line=dict(color=donor_color, width=2, dash=\"dash\"),\n", + " name=\"SCF Median\",\n", + " showlegend=False,\n", + " ),\n", + " row=row,\n", + " col=col,\n", + " )\n", + "\n", + " # Add model median line\n", + " fig.add_trace(\n", + " go.Scatter(\n", + " x=[model_log_median, model_log_median],\n", + " y=[0, 10],\n", + " mode=\"lines\",\n", + " line=dict(color=model_color, width=2, dash=\"dash\"),\n", + " name=f\"{model_name} Median\",\n", + " showlegend=False,\n", + " ),\n", + " row=row,\n", + " col=col,\n", + " )\n", + "\n", + " # Determine axis references for annotations\n", + " axis_num = subplot_idx + 1\n", + " if axis_num == 1:\n", + " xref, yref = \"x\", \"y\"\n", + " else:\n", + " xref, yref = f\"x{axis_num}\", f\"y{axis_num}\"\n", + "\n", + " # Add statistics annotation\n", + " fig.add_annotation(\n", + " x=7,\n", + " y=9,\n", + " xref=xref,\n", + " yref=yref,\n", + " text=f\"Median: ${10**model_log_median:,.0f}
Mean: ${10**model_log_mean:,.0f}\",\n", + " showarrow=False,\n", + " bgcolor=\"rgba(255,255,255,0.8)\",\n", + " bordercolor=\"rgba(0,0,0,0.3)\",\n", + " borderwidth=1,\n", + " font=dict(size=10),\n", + " xanchor=\"right\",\n", + " yanchor=\"top\",\n", + " )\n", + "\n", + " # Update layout\n", + " fig.update_layout(\n", + " title=dict(\n", + " text=(\n", + " title\n", + " if title\n", + " else \"Log-transformed Net Worth Imputations by Model\"\n", + " ),\n", + " font=dict(size=18),\n", + " x=0.5,\n", + " xanchor=\"center\",\n", + " ),\n", + " height=900,\n", + " width=1000,\n", + " showlegend=True,\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", + " legend=dict(\n", + " x=0.5,\n", + " y=-0.15,\n", + " xanchor=\"center\",\n", + " yanchor=\"top\",\n", + " orientation=\"h\",\n", + " bgcolor=\"rgba(255,255,255,0.8)\",\n", + " bordercolor=\"rgba(0,0,0,0.3)\",\n", + " borderwidth=1,\n", + " ),\n", + " barmode=\"overlay\",\n", + " margin=dict(t=80, r=80, b=80),\n", + " )\n", + "\n", + " # Update all axes\n", + " for i in range(1, 7):\n", + " row_num = (i - 1) // 2 + 1\n", + " col_num = (i - 1) % 2 + 1\n", + "\n", + " fig.update_xaxes(\n", + " tickvals=tick_values,\n", + " ticktext=tick_labels,\n", + " title_text=\"Net Worth (log scale)\" if row_num == 3 else \"\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + " row=row_num,\n", + " col=col_num,\n", + " )\n", + " fig.update_yaxes(\n", + " range=[0, 15],\n", + " title_text=\"Percentage\" if col_num == 1 else \"\",\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + " row=row_num,\n", + " col=col_num,\n", + " )\n", + "\n", + " return fig" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "1dd3d40f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "==================================================\n", + "Model: best_method\n", + "==================================================\n", + " networth (QRF):\n", + " n_estimators: 202\n", + " min_samples_split: 5\n", + " min_samples_leaf: 1\n", + " max_features: 0.953996983528\n", + " bootstrap: True\n", + "\n", + "==================================================\n", + "Model: OLS\n", + "==================================================\n", + "\n", + "==================================================\n", + "Model: QuantReg\n", + "==================================================\n", + "\n", + "==================================================\n", + "Model: Matching\n", + "==================================================\n", + " Matching hyperparameters: {'dist_fun': 'Mahalanobis', 'k': 5}\n", + "\n", + "==================================================\n", + "Model: MDN\n", + "==================================================\n", + " networth (MDN):\n", + " num_gaussian: 5\n", + " learning_rate: 0.001\n" + ] + } + ], + "source": [ + "# --- Access tuned hyperparameters for each model --- \n", + "for model_name, fitted_model in autoimpute_results.fitted_models.items(): \n", + " print(f\"\\n{'='*50}\")\n", + " print(f\"Model: {model_name}\")\n", + " print(f\"{'='*50}\")\n", + " \n", + " # QRF: params stored on the internal RandomForestQuantileRegressor\n", + " if hasattr(fitted_model, 'models'):\n", + " for var_name, m in fitted_model.models.items():\n", + " if hasattr(m, 'qrf'): # QRF numeric target\n", + " print(f\" {var_name} (QRF):\")\n", + " print(f\" n_estimators: {m.qrf.n_estimators}\")\n", + " print(f\" min_samples_split: {m.qrf.min_samples_split}\")\n", + " print(f\" min_samples_leaf: {m.qrf.min_samples_leaf}\")\n", + " print(f\" max_features: {m.qrf.max_features}\")\n", + " print(f\" bootstrap: {m.qrf.bootstrap}\")\n", + " elif hasattr(m, 'num_gaussian'): # MDN\n", + " print(f\" {var_name} (MDN):\")\n", + " print(f\" num_gaussian: {m.num_gaussian}\")\n", + " print(f\" learning_rate: {m.learning_rate}\")\n", + "\n", + " # Matching: params stored in .hyperparameters dict\n", + " if hasattr(fitted_model, 'hyperparameters'):\n", + " print(f\" Matching hyperparameters: {fitted_model.hyperparameters}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "4f9709f4", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ { "histnorm": "percent", "marker": { @@ -118157,8 +50028,8 @@ }, "name": "SCF (weighted)", "nbinsx": 200, - "opacity": 0.3, - "showlegend": false, + "opacity": 0.7, + "showlegend": true, "type": "histogram", "x": [ 3.6364710524303625, @@ -141137,22111 +73008,8 @@ 5.592955192757923, 4.868679323157135 ], - "xaxis": "x3", - 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"Median: $16,322
Mean: $14,638", + "text": "Median: $15,854
Mean: $16,332", "x": 7, "xanchor": "right", "xref": "x2", @@ -298811,7 +280363,7 @@ "size": 10 }, "showarrow": false, - "text": "Median: $159,048
Mean: $157,728", + "text": "Median: $154,982
Mean: $172,252", "x": 7, "xanchor": "right", "xref": "x3", @@ -298827,7 +280379,7 @@ "size": 10 }, "showarrow": false, - "text": "Median: $336,378
Mean: $59,911", + "text": "Median: $174,101
Mean: $16,539", "x": 7, "xanchor": "right", "xref": "x4", @@ -298843,7 +280395,7 @@ "size": 10 }, "showarrow": false, - "text": "Median: $180,479
Mean: $97,336", + "text": "Median: $256,114
Mean: $113,804", "x": 7, "xanchor": "right", "xref": "x5", @@ -298859,7 +280411,7 @@ "size": 10 }, "showarrow": false, - "text": "Median: $317,299
Mean: $73,683", + "text": "Median: $429,182
Mean: $68,066", "x": 7, "xanchor": "right", "xref": "x6", @@ -299922,7 +281474,7 @@ "linecolor": "#CCCCCC", "range": [ 0, - 10 + 15 ], "showgrid": true, "showline": true, @@ -299941,7 +281493,7 @@ "linecolor": "#CCCCCC", "range": [ 0, - 10 + 15 ], "showgrid": true, "showline": true, @@ -299960,7 +281512,7 @@ "linecolor": "#CCCCCC", "range": [ 0, - 10 + 15 ], "showgrid": true, "showline": true, @@ -299979,7 +281531,7 @@ "linecolor": "#CCCCCC", "range": [ 0, - 10 + 15 ], "showgrid": true, "showline": true, @@ -299998,7 +281550,7 @@ "linecolor": "#CCCCCC", "range": [ 0, - 10 + 15 ], "showgrid": true, "showline": true, @@ -300017,7 +281569,7 @@ "linecolor": "#CCCCCC", "range": [ 0, - 10 + 15 ], "showgrid": true, "showline": true, @@ -300064,7 +281616,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 18, "id": "839cff5a", "metadata": {}, "outputs": [ @@ -300105,16 +281657,16 @@ ], "xaxis": "x", "y": [ - 15821.540450444816, - 16039.936182018233, - 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315261.6081280714, - 353481.5351683799, - 400675.7544695348, - 396927.6677017697, - 413134.1837257683 + 221981.758569749, + 279232.46419849846, + 273566.7384261667, + 277675.1605414696, + 312959.96611293673, + 313002.1980765171, + 357319.2255602783, + 415235.2239138955, + 444991.9747681776, + 632423.6546172625 ], "yaxis": "y" } @@ -301248,7 +282800,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "id": "9bcee9aa", "metadata": {}, "outputs": [], @@ -301296,7 +282848,7 @@ }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 20, "id": "m2mx0oepixj", "metadata": {}, "outputs": [ @@ -301309,12 +282861,12 @@ "=================================================================\n", "Metric Simulated Admin Total\n", "-----------------------------------------------------------------\n", - "Total recipients 7,312,945 7,400,000\n", - "Total expenditure ($B) 57.06 59.6\n", - "Avg monthly benefit ($) 650 697\n", + "Total recipients 19,769,600 7,400,000\n", + "Total expenditure ($B) 152.59 59.6\n", + "Avg monthly benefit ($) 643 697\n", "-----------------------------------------------------------------\n", - "Recipient ratio (sim/admin) 98.82%\n", - "Expenditure ratio (sim/admin) 95.73%\n" + "Recipient ratio (sim/admin) 267.16%\n", + "Expenditure ratio (sim/admin) 256.02%\n" ] } ], @@ -301404,7 +282956,7 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 21, "id": "2d9552bb", "metadata": {}, "outputs": [ @@ -301418,12 +282970,12 @@ "================================================================================\n", "Model Recipients Expend ($B) Avg Mo ($) Recip %\n", "--------------------------------------------------------------------------------\n", - "OLS 11,273,976 100.91 746 152.4%\n", - "QuantReg 8,270,595 73.90 745 111.8%\n", - "Matching 11,169,876 96.69 721 150.9%\n", - "MDN 8,981,363 79.04 733 121.4%\n", - "QRF 10,561,987 92.34 729 142.7%\n", - "Baseline (no wealth) 7,312,945 57.06 650 98.8%\n", + "OLS 11,342,398 100.46 738 153.3%\n", + "QuantReg 8,262,234 74.58 752 111.7%\n", + "Matching 10,972,077 88.75 674 148.3%\n", + "MDN 10,362,758 85.40 687 140.0%\n", + "QRF 12,083,642 102.83 709 163.3%\n", + "Baseline (no wealth) 19,769,600 152.59 643 267.2%\n", "--------------------------------------------------------------------------------\n", "Admin total 7,400,000 59.6 697 100.0%\n" ] @@ -301458,12 +283010,12 @@ ], "xaxis": "x", "y": [ - 11273976.050292803, - 8270595.353146832, - 11169876.313329533, - 8981362.571187586, - 10561987.141436338, - 7312945.173439342 + 11342398.18111819, + 8262234.327414215, + 10972076.796922863, + 10362757.6136505, + 12083641.52855222, + 19769600.46492593 ], "yaxis": "y" }, @@ -301490,12 +283042,12 @@ ], "xaxis": "x2", "y": [ - 100.91341251580906, - 73.90030834085688, - 96.69351758676733, - 79.04460582044054, - 92.33763139070477, - 57.05524568983731 + 100.45850661794287, + 74.57541569154087, + 88.7460854483705, + 85.40224425944278, + 102.83008092469666, + 152.5857584659387 ], "yaxis": "y2" } @@ -302668,11 +284220,31 @@ "\n", "fig.show()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "jdl1r48ywo", + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "# Access QRF tuned hyperparameters\n", + "qrf_model = autoimpute_results.fitted_models[\"best_method\"]\n", + "for var_name, m in qrf_model.models.items():\n", + " if hasattr(m, 'qrf'):\n", + " print(f\"QRF tuned hyperparameters for {var_name}:\")\n", + " print(f\" n_estimators: {m.qrf.n_estimators}\")\n", + " print(f\" min_samples_split: {m.qrf.min_samples_split}\")\n", + " print(f\" min_samples_leaf: {m.qrf.min_samples_leaf}\")\n", + " print(f\" max_features: {m.qrf.max_features}\")\n", + " print(f\" bootstrap: {m.qrf.bootstrap}\")\n" + ] } ], "metadata": { "kernelspec": { - "display_name": "pe3.13", + "display_name": "pe3.13 (3.13.0)", "language": "python", "name": "python3" }, diff --git a/paper/main.pdf b/paper/main.pdf index 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z7x<*Uz-K(M_-InOI%}2t^efAC(CcK!iX1C)tjMt<$BJBMJT;S3GdWh|Sdr`J2`h4} z$f=oJKTlYZV?~Y?c^lw&A=j?~R^(WbV?~Y?d8bu=_`F!;uYZL90U#_PX)_9CZe(+G ma%Ev{3T19&Z(?c+b97;Hba--QW(qSmI5jyj3MC~)PeuyDpO#es diff --git a/paper/main.tex b/paper/main.tex index 5329e41..b454157 100644 --- a/paper/main.tex +++ b/paper/main.tex @@ -27,15 +27,13 @@ } -\title{Methodological Advances in Microdata Imputation: \\ Quantile Regression Forests for Wealth Imputation \\ \vspace{0.5em} \normalsize \draftnote} +\title{Methodological Advances in Microdata Imputation: \\ Quantile Random Forests for Wealth Imputation \\ \vspace{0.5em} \normalsize \draftnote} % Define the \samethanks command \newcommand*\samethanks[1][\value{footnote}]{\footnotemark[#1]} % Define authors with the same affiliation \author{ - María Juaristi\thanks{PolicyEngine} \and - Nikhil Woodruff\samethanks \and - Max Ghenis\samethanks + María Juaristi\thanks{Minerva University, PolicyEngine} } \date{\today} @@ -55,4 +53,9 @@ \bibliographystyle{plainnat} \bibliography{./bibliography/references} +\clearpage +\appendix +\input{sections/appendix_benchmarking} +\input{sections/appendix_robustness} + \end{document} diff --git a/paper/sections/abstract.tex b/paper/sections/abstract.tex index a63fbd5..094b0c9 100644 --- a/paper/sections/abstract.tex +++ b/paper/sections/abstract.tex @@ -1,3 +1,3 @@ \section*{Abstract} -Policy analysts are regularly faced with the difficulty of peforming policy analysis that relies on wealth wihout a comprehensive datataset capturing representative demographic, income and asset data across records. To address this challenge, this paper evaluates the methodological advantages of Quantile Regression Forests (QRF) for wealth imputation from the Survey of Consumer Finances (SCF) to the Current Population Survey (CPS), two US microdata surveys. We demonstrate that QRF outperforms traditional imputation approaches by preserving conditional distributions rather than merely conditional means, a critical distinction that makes distributional analyses of policy reforms under microdata more accurate. Our empirical analysis, implemented through the $\texttt{microimpute}$ package, provides evidence that QRF reduces bias in wealth imputations, achieving a 20.5\% reduction in average quantile loss (a measure of error against the full conditional distribution instead of central estimates) compared to OLS, 14.8\% compared to Hot Deck Matching and a 6\% reduction compared to Quantile Regression. Using 5-fold cross-validation on 22,975 SCF households, QRF achieves an average quantile loss across all quantiles of 6.6m, demonstrating superior distributional accuracy, particularly in the 10th-80th percentile range. While we focus on wealth in our experimental approach, these results suggest QRF's advantages extend to any skewed variable requiring distributional preservation, including consumption, medical expenses, and other heavy-tailed economic measures. These technical improvements have substantial implications for microdata enhancement and fiscal policy research, enabling analysis from wealth tax values and asset-dependent SNAP or Medicaid qualifications to policy impact across wealth deciles. We release our open-source $\texttt{microimpute}$ package to facilitate microimputation across the field, providing automated method comparison, hyperparameter tuning, and survey weight integration capabilities that streamline the imputation workflow for complex survey data. \ No newline at end of file +Microdata surveys often lack variables critical for policy analysis, requiring imputation from richer donor surveys, yet researchers have lacked standardized tools for systematically comparing imputation methods and selecting the best approach for a given dataset. We introduce $\texttt{microimpute}$, an open-source Python package that provides a unified framework for benchmarking, tuning, and automatically selecting among multiple imputation methods. We apply it to impute household wealth from the Survey of Consumer Finances (SCF) onto the Current Population Survey (CPS). Evaluating five methods---Quantile Random Forests (QRF), Ordinary Least Square (OLS), Quantile Regression, Hot Deck Matching, and Mixture Density Networks, we find that QRF achieves the lowest quantile loss and Wasserstein distance, reflecting its capacity to model the non-linear relationships between demographic predictors and wealth. A downstream Supplemental Security Income simulation demonstrates the practical stakes of method choice: without imputed wealth, the microsimulation overestimates SSI recipients by 167\%, while all five imputation methods substantially reduce this gap. Cross-dataset benchmarking across six additional domains reveals, however, that no single method dominates universally. Although QRF proves best at capturing complex, non-linear relationships, Hot Deck Matching better preserves marginal distributions by drawing directly from the donor pool, while OLS remains competitive for approximately linear relationships. These findings underscore that imputation method selection should be empirically driven rather than prescribed, motivating standardized benchmarking tools, like $\texttt{microimpute}$, that enable researchers to identify the best approach for their specific data characteristics and research objectives. \ No newline at end of file diff --git a/paper/sections/appendix_benchmarking.tex b/paper/sections/appendix_benchmarking.tex new file mode 100644 index 0000000..3f23738 --- /dev/null +++ b/paper/sections/appendix_benchmarking.tex @@ -0,0 +1,76 @@ +\section{Cross-Dataset Benchmarking}\label{app:benchmarking} + +To validate \texttt{microimpute} across diverse domains beyond the SCF-CPS wealth imputation use case, we conduct a cross-dataset benchmarking exercise using six publicly available regression datasets from the OpenML AutoML Benchmark regression suite \citep{vanschoren2014openml}, spanning different domains, sample sizes, and dimensionalities. + +\subsection{Datasets} + +Table~\ref{tab:benchmark_datasets} summarizes the datasets used in this analysis. + +\begin{table}[h] + \centering + \caption{Datasets used for cross-dataset benchmarking.} + \label{tab:benchmark_datasets} + \begin{tabular}{llrl} + \toprule + Dataset & Domain & Rows & Target Variable \\ + \midrule + space\_ga & Voting/demographics & 3,107 & ln(VOTES/POP) \\ + elevators & Aircraft control & 16,599 & Goal \\ + brazilian\_houses & Real estate & 10,692 & total\_(BRL) \\ + onlinenewspopularity & News/media & 39,644 & shares \\ + abalone & Marine biology & 4,177 & Class\_number\_of\_rings \\ + house\_sales & Real estate & 21,613 & price \\ + \bottomrule + \end{tabular} +\end{table} + +\subsection{Methodology} + +For each dataset, we split the data 60/40 into donor and receiver subsets. The \texttt{autoimpute} pipeline runs internally on the 60\% donor portion (cross-validation for method selection), and the selected method then imputes onto the 40\% receiver subset. We evaluate imputation quality using the Wasserstein distance between the imputed and true distributions on the receiver subset. We use Wasserstein distance rather than quantile loss for this benchmarking because it provides a single summary measure of marginal distributional accuracy, which is more directly comparable across datasets with different scales and distributional shapes. + +\subsection{Results} + +Table~\ref{tab:benchmark_wasserstein} reports the Wasserstein distance for each method on each dataset, with lower values indicating better distributional recovery. + +\begin{table}[h] + \centering + \caption{Wasserstein distance by method and dataset. Bold values indicate the best-performing method for each dataset.} + \label{tab:benchmark_wasserstein} + \resizebox{\textwidth}{!}{% + \begin{tabular}{lrrrrr} + \toprule + Dataset & Matching & QRF & OLS & QuantReg & MDN \\ + \midrule + space\_ga & 0.011 & \textbf{0.010} & 0.027 & 0.098 & 0.050 \\ + elevators & \textbf{0.0002} & 0.0003 & 0.001 & 0.002 & 0.020 \\ + brazilian\_houses & 120.5 & \textbf{27.2} & 99.4 & 112.4 & 3,378.6 \\ + onlinenewspopularity & \textbf{239.9} & 783.7 & 2,777.1 & 2,376.8 & 2,038.0 \\ + abalone & \textbf{0.003} & 0.003 & 0.004 & 0.003 & 0.040 \\ + house\_sales & \textbf{8,797.8} & 12,576.6 & 41,862.3 & 64,725.3 & 544,730.4 \\ + \bottomrule + \end{tabular}% + } +\end{table} + +Table~\ref{tab:benchmark_ranks} summarizes the mean rank of each method across all six datasets. + +\begin{table}[h] + \centering + \caption{Mean rank across all six benchmarking datasets (lower is better).} + \label{tab:benchmark_ranks} + \begin{tabular}{lr} + \toprule + Method & Mean Rank \\ + \midrule + Matching & 1.67 \\ + QRF & 1.83 \\ + OLS & 3.33 \\ + QuantReg & 3.67 \\ + MDN & 4.50 \\ + \bottomrule + \end{tabular} +\end{table} + +Matching achieves the best Wasserstein distance on four of six datasets and the lowest mean rank overall (1.67), followed closely by QRF (1.83). QRF performs best on space\_ga and brazilian\_houses, the latter of which exhibits complex nonlinear relationships between predictors and house prices. OLS and Quantile Regression occupy middle ranks, while MDN consistently ranks last, likely reflecting a combination of the relatively small sample sizes in these datasets and the hyperparameter sensitivity of neural network-based approaches. + +With only six datasets, the rank differences between methods---particularly the narrow gap between Matching (1.67) and QRF (1.83)---should be interpreted cautiously, as they are not statistically robust to the inclusion or exclusion of individual datasets. Notably, the relative rankings here differ from the main SCF-CPS analysis, where QRF achieves the lowest quantile loss. This is consistent with the expectation that method performance depends on dataset characteristics, and reinforces the value of \texttt{microimpute}'s method comparison framework, which allows researchers to empirically determine the best approach for their specific data rather than relying on a single method. diff --git a/paper/sections/appendix_robustness.tex b/paper/sections/appendix_robustness.tex new file mode 100644 index 0000000..611d619 --- /dev/null +++ b/paper/sections/appendix_robustness.tex @@ -0,0 +1,57 @@ +\section{Predictor Importance Analysis for SCF-CPS Imputation}\label{app:robustness} + +To assess the relative contribution of each predictor variable to the quality of wealth imputation, we conduct two complementary analyses using the QRF model on the SCF data: a leave-one-out analysis and a progressive inclusion analysis. These analyses use six of the seven predictor variables from the main experimental setup; \texttt{own\_children\_in\_household} is excluded because it was not available in the SCF preprocessing for this robustness analysis. The results help evaluate which shared variables between the SCF and CPS are most informative for imputing net worth. + +\subsection{Leave-one-out analysis} + +We measure the impact of each predictor by excluding it from the QRF model and observing the resulting increase in average quantile loss relative to the full model (baseline loss: 1,661,723). Table~\ref{tab:leave_one_out} reports the results. + +\begin{table}[h] + \centering + \caption{Leave-one-out predictor importance for QRF wealth imputation. Relative impact measures the percentage increase in average quantile loss when the predictor is excluded.} + \label{tab:leave_one_out} + \begin{tabular}{lrrr} + \toprule + Predictor Removed & Avg Quantile Loss & Loss Increase & Relative Impact \\ + \midrule + interest\_dividend\_income & 3,596,108 & 1,934,385 & 116.4\% \\ + employment\_income & 2,219,377 & 557,654 & 33.6\% \\ + age & 2,189,845 & 528,122 & 31.8\% \\ + pension\_income & 1,875,120 & 213,397 & 12.8\% \\ + race & 1,728,080 & 66,358 & 4.0\% \\ + is\_female & 1,698,452 & 36,729 & 2.2\% \\ + \midrule + Baseline (all predictors) & 1,661,723 & --- & --- \\ + \bottomrule + \end{tabular} +\end{table} + +Interest and dividend income is by far the most important predictor, with its removal more than doubling the quantile loss (116.4\% increase). Employment income and age contribute substantially as well (33.6\% and 31.8\% increases, respectively). Pension income has a moderate effect (12.8\%), while race and gender contribute relatively little to imputation accuracy (4.0\% and 2.2\%). + +\subsection{Progressive inclusion analysis} + +We complement the leave-one-out results by adding predictors one at a time, following the importance ordering determined by the leave-one-out analysis (Table~\ref{tab:leave_one_out}), and measuring the marginal improvement at each step. Table~\ref{tab:progressive_inclusion} reports the results. + +\begin{table}[h] + \centering + \caption{Progressive predictor inclusion for QRF wealth imputation. Predictors are added in order of importance, and marginal improvement measures the reduction in average quantile loss from adding each predictor.} + \label{tab:progressive_inclusion} + \begin{tabular}{clrr} + \toprule + Step & Predictor Added & Avg Quantile Loss & Marginal Improvement \\ + \midrule + 1 & interest\_dividend\_income & 5,037,628 & --- \\ + 2 & age & 2,752,098 & 2,285,529 \\ + 3 & employment\_income & 1,932,222 & 819,876 \\ + 4 & pension\_income & 1,737,197 & 195,025 \\ + 5 & race & 1,704,094 & 33,103 \\ + 6 & is\_female & 1,685,442 & 18,652 \\ + \bottomrule + \end{tabular} +\end{table} + +The progressive analysis confirms the leave-one-out findings. The first three predictors (interest/dividend income, age, and employment income) account for the majority of imputation accuracy, with diminishing returns from additional demographic variables. All six predictors together yield the lowest quantile loss (1,685,442), indicating that each variable contributes positively, though the marginal gains from race and gender are small. The small difference between this value and the leave-one-out baseline (1,661,723) reflects variation across cross-validation fold assignments and random seeds between the two analyses. + +\subsection{Implications for the Conditional Independence Assumption} + +The strong predictive power of the shared financial variables, particularly interest and dividend income, employment income, and pension income, is consistent with, though not sufficient evidence for, the plausibility of the CIA in the SCF-CPS matching context. These variables capture key dimensions of household financial position that are available in both surveys. The fact that they collectively explain a large share of the variation in net worth suggests that the common variables $X$ may be sufficient to render the target variable $Y$ (wealth) approximately conditionally independent of variables $Z$ unique to the CPS, though this assumption remains fundamentally untestable as discussed in Section~2.2. diff --git a/paper/sections/background.tex b/paper/sections/background.tex index 5dde698..489c970 100644 --- a/paper/sections/background.tex +++ b/paper/sections/background.tex @@ -146,7 +146,7 @@ \subsubsection{Mixture Density Networks (MDN)} \item \textbf{Computational cost}: Training is more expensive than parametric methods \end{itemize} -\subsubsection{Quantile Random Forests (QRF)} +\subsubsection{Quantile Random Forests (QRF)}\label{sec:qrf_background} Quantile Random Forests extend Random Forests to estimate conditional quantiles \citep{meinshausen2006quantile}. A standard Random Forest builds an ensemble of decision trees, each trained on a bootstrap sample, with predictions averaged across trees. QRF modifies this by retaining all training observations in each terminal node rather than just their mean. @@ -193,4 +193,10 @@ \subsection{Current Practice in Microsimulation} More recent microsimulation efforts have begun incorporating administrative data through record linkage rather than statistical matching \citep{abowd2019census}, but this approach requires access to restricted data and raises privacy concerns. For researchers working with publicly available survey data, statistical matching remains essential, creating a need for methods that can better capture complex distributional features. -The limitations of traditional approaches can be particularly acute for heavily-tailed variables where relationships with predictors vary across the distribution. Machine learning methods such as Quantile Regression Forests offer a promising alternative, as they can capture nonlinear relationships, model the entire conditional distribution, and handle heavy-tailed data without restrictive parametric assumptions. Despite these advantages, QRF and similar methods have seen limited adoption in mainstream microsimulation practice. The \texttt{microimpute} package aims to lower barriers to adopting these more flexible methods by providing a unified framework for comparing traditional and machine learning approaches, enabling researchers to empirically evaluate which method best suits their specific data characteristics. \ No newline at end of file +The limitations of traditional approaches can be particularly acute for heavily-tailed variables where relationships with predictors vary across the distribution. Machine learning methods such as Quantile Regression Forests offer a promising alternative, as they can capture nonlinear relationships, model the entire conditional distribution, and handle heavy-tailed data without restrictive parametric assumptions. Despite these advantages, QRF and similar methods have seen limited adoption in mainstream microsimulation practice. The \texttt{microimpute} package aims to lower barriers to adopting these more flexible methods by providing a unified framework for comparing traditional and machine learning approaches, enabling researchers to empirically evaluate which method best suits their specific data characteristics. + +\subsection{Supplemental Security Income as a Validation Case} + +The limitations of traditional imputation approaches in microsimulation have concrete policy consequences, which can be illustrated through the Supplemental Security Income (SSI) program. SSI is a federal means-tested program for aged, blind, and disabled individuals with strict resource limits (\$2,000 for individuals, \$3,000 for couples) that have remained unchanged since 1989 \citep{ssa2023ssi}. The resource test requires household wealth and asset data that the CPS does not collect, making SSI eligibility determination dependent on imputed or heuristic wealth values. + +In 2024, SSI served approximately 7.4 million recipients with \$59.6 billion in federal payments \citep{ssa2024ssi}. Because different wealth imputation methods produce different wealth distributions, they directly affect which simulated households pass the resource test and therefore the resulting estimates of SSI recipient counts and expenditure. This makes SSI a particularly informative downstream validation case for comparing imputation approaches, as described in Section~\ref{sec:policy_validation}. diff --git a/paper/sections/conclusion.tex b/paper/sections/conclusion.tex index ac8c773..dd09fc6 100644 --- a/paper/sections/conclusion.tex +++ b/paper/sections/conclusion.tex @@ -1,7 +1,7 @@ \section{Conclusion} -This paper has reviewed methodological advances in microdata imputation, focusing on techniques suitable for complex survey data like wealth. We highlighted the limitations of traditional methods and the advantages of novel approaches, particularly Quantile Regression Forests, for handling skewed distributions and non-linearities. +This paper has introduced $\texttt{microimpute}$, an open-source Python package for cross-survey imputation, and applied it to a substantive policy problem: imputing household wealth from the SCF onto the CPS. Through systematic comparison of five imputation methods using an inverse hyperbolic sine transformation to accommodate negative and zero net worth values, we find that Quantile Regression Forests achieve the strongest conditional accuracy for wealth imputation, driven by their capacity to model the complex non-linear relationships between demographic predictors and wealth. A downstream SSI simulation validates the practical importance of imputation method choice: without wealth data, the microsimulation overestimates SSI recipients by 167\%, while imputation-based approaches substantially narrow this gap. -The key contributions of this work are the synthesis of current knowledge on imputation for challenging microdata, a detailed examination of QRF's suitability, and an introduction to the $\texttt{microimpute}$ package. Our review suggests that QRF represents a step forward in preserving the statistical integrity of imputed microdata, increasing the robustness of economic analysis. The implementation of QRF in the $\texttt{microimpute}$ package provides a practical tool for researchers seeking to combine detailed microdata across datasets. +Our findings also reveal important nuances about method selection. Cross-dataset benchmarking shows that QRF's advantage reflects the specific characteristics of the wealth imputation problem---large sample sizes and complex non-linear relationships---rather than a universal superiority. Hot Deck Matching preserves marginal distributions effectively by drawing directly from the donor pool, and OLS remains competitive for datasets with approximately linear predictor-target relationships. Predictor importance analysis further shows that financial variables---particularly interest and dividend income---drive the majority of imputation accuracy, with demographic variables contributing marginally. -Future research should continue to refine QRF for imputation, particularly in response to challenges like limited data at extreme quantiles. Comparative studies against other emerging techniques, like deep learning models \citep{alaa2024deep}, are also vital. Continued innovation in imputation methodology supports the reliability of evidence-based research and policymaking. \ No newline at end of file +These results carry two broader implications. First, imputation method selection should be empirically driven rather than prescribed; the optimal approach depends on dataset characteristics, and standardized comparison tools are essential for enabling this data-driven selection. Second, the gap between statistical and policy-relevant evaluation metrics---QRF achieves the best quantile loss yet not the closest SSI estimates to administrative totals---highlights the importance of validating imputation quality through downstream applications, not only through statistical benchmarks. Future work should expand $\texttt{microimpute}$'s method library to include gradient boosting and deep learning approaches \citep{alaa2024deep}, explore ensemble strategies that combine methods across different parts of the distribution, and address the terminal node sparsity challenge that limits tree-based methods at extreme quantiles. \ No newline at end of file diff --git a/paper/sections/data.tex b/paper/sections/data.tex index 8c7a646..ccdcb4c 100644 --- a/paper/sections/data.tex +++ b/paper/sections/data.tex @@ -12,6 +12,8 @@ \subsection{Current Population Survey} The Current Population Survey (CPS), conducted jointly by the U.S. Census Bureau and the Bureau of Labor Statistics, is a monthly survey of approximately 60,000 U.S. households that serves as the primary source of labor force statistics for the United States. The CPS uses a multistage probability-based sample designed to represent the civilian non-institutional population; on average, each sampled household represents approximately 2,500 households in the population. The Annual Social and Economic Supplement (ASEC) extends the core survey with detailed annual income data, including earnings, unemployment compensation, Social Security, pension income, interest, dividends, and other income sources. However, despite its comprehensive coverage of income and employment, the CPS does not collect information on household wealth, assets, or liabilities, which are key variables needed for wealth-based policy analysis. This omission motivates the need for statistical matching to transfer wealth information from the SCF onto the CPS. +Specifically, we use the Enhanced CPS 2024 produced by PolicyEngine \citep{policyengine_us} as our receiver dataset. The Enhanced CPS extends the base CPS ASEC microdata through survey reweighting and calibration to administrative totals, improving its representativeness for tax-benefit microsimulation. The SCF 2022 financial variables are uprated to 2024 dollars using CPI adjustment factors to ensure consistency with the receiver dataset's reference year. + \subsection{Comparative analysis and characteristics for imputation} Imputing between SCF and CPS exemplifies the challenges of statistical matching, as it requires combining a specialized survey with detailed wealth data but limited sample size with a large representative survey that lacks wealth measures entirely. The SCF-to-CPS imputation is directly relevant to U.S. policy microsimulation, where researchers require comprehensive microdata combining income, demographics, and wealth to analyze the distributional effects of tax and benefit reforms. By imputing wealth onto the CPS, analysts can examine wealth distributions in a sample roughly thirteen times larger than the SCF alone, enabling finer demographic disaggregations and more precise subgroup analyses. Moreover, the heavy-tailed nature of wealth distributions and the different sampling designs of these surveys create methodological challenges that make this an informative test case for comparing imputation methods. \ No newline at end of file diff --git a/paper/sections/discussion.tex b/paper/sections/discussion.tex index 42c2203..8835cb5 100644 --- a/paper/sections/discussion.tex +++ b/paper/sections/discussion.tex @@ -4,7 +4,7 @@ \section{Discussion} \subsection{Strengths powered by $\texttt{microimpute}$} -The $\texttt{microimpute}$ package's design philosophy and implementation choices provide several key advantages that contributed to the success of our wealth imputation analysis: +The $\texttt{microimpute}$ package's design philosophy and implementation choices provide several key advantages that contributed to the success of our wealth imputation analysis, and will extend to future model comparisons across apllications: \begin{enumerate} \item \textbf{Unified interface for method comparison}: $\texttt{microimpute}$'s consistent API across all imputation methods enabled systematic benchmarking without implementation-specific biases. This standardization ensures that performance differences reflect genuine methodological advantages rather than implementation artifacts \citep{policyengine2025microimpute}. @@ -20,6 +20,20 @@ \subsection{Strengths powered by $\texttt{microimpute}$} \item \textbf{Open-source transparency}: As an open-source tool, $\texttt{microimpute}$ allows full inspection and modification of imputation algorithms, promoting reproducibility and enabling custom extensions for specific research needs \citep{policyengine2025microimpute}. \end{enumerate} +\subsection{Generalizability and predictor sensitivity} + +The main SCF-CPS results are complemented by two supplementary analyses that inform the broader applicability of these findings. + +The cross-dataset benchmarking exercise (Appendix~\ref{app:benchmarking}) reveals that method performance is context-dependent, with each method's strengths mapping to different data characteristics. QRF achieves the best Wasserstein distance on datasets exhibiting complex non-linear relationships---such as the Brazilian houses dataset and the SCF wealth imputation---where its ability to model flexible conditional distributions provides a clear advantage. Matching, by contrast, achieves the lowest Wasserstein distance on four of six benchmarking datasets and the best mean rank overall (1.67 vs.\ QRF's 1.83). This strong marginal distributional performance reflects Matching's core mechanism: by drawing imputed values directly from the donor pool, it inherently preserves the shape, skewness, and tail behavior of the original distribution, yielding low Wasserstein distances even when it may not optimally condition on predictor values. However, as the main SCF-CPS results demonstrate, Matching's distributional fidelity does not guarantee accurate \textit{conditional} imputation---households may receive plausible-looking wealth values that do not correctly reflect their individual characteristics. + +Meanwhile, OLS performs competitively on datasets where the predictor-target relationship is approximately linear (e.g., abalone, space\_ga), highlighting that simpler parametric methods remain effective when their structural assumptions are met. MDN consistently ranks last across the benchmarking datasets, likely reflecting a combination of the relatively small sample sizes in these datasets and the hyperparameter sensitivity of neural network-based approaches, which require larger training sets to realize their flexibility advantage. + +These findings reinforce the value of \texttt{microimpute}'s automated method comparison framework: no single method dominates across all settings, and the optimal choice depends on dataset size, the complexity of the predictor-target relationship, and whether the research objective prioritizes conditional accuracy or marginal distributional fidelity. Researchers should leverage the package's comparison tools to empirically determine the best approach for their specific data rather than defaulting to any single method. + +The predictor importance analysis (Appendix~\ref{app:robustness}) reveals a clear hierarchy among the variables shared between the SCF and CPS. Financial predictors---particularly interest and dividend income, employment income, and age---account for the vast majority of imputation accuracy, with interest and dividend income alone more than doubling the quantile loss when removed. Demographic variables such as race and gender contribute relatively little to imputation quality. This concentration of predictive power in financial variables has two practical implications. First, the quality of wealth imputation rests primarily on the availability and accuracy of income-related variables in both surveys; researchers lacking financial predictors would see substantially degraded results. Second, diminishing returns from additional demographic predictors suggest that a parsimonious set of well-chosen financial variables can achieve most of the attainable accuracy, as confirmed by the progressive inclusion analysis showing that the first three predictors capture the majority of achievable performance. + +Together, these supplementary analyses contextualize the main results: QRF's strong performance in the SCF-CPS setting reflects the particular characteristics of the wealth imputation problem---a large donor dataset, highly non-linear relationships, and informative financial predictors available in both surveys. Researchers applying \texttt{microimpute} to other settings should expect method rankings to vary with dataset characteristics and should leverage the package's comparison tools accordingly. + \subsection{Limitations and future improvements} Despite the demonstrated advantages, several limitations warrant consideration for future development: @@ -30,6 +44,6 @@ \subsubsection{Current package limitations} \subsubsection{QRF-specific challenges} -The terminal node sparsity issue identified in Section 2.2.4 remains a fundamental limitation of tree-based methods. When few training samples reach certain terminal nodes, multiple observations in the recipient dataset may receive identical imputed values, potentially underestimating variability in extreme wealth categories. Future work could explore adaptive tree construction methods that ensure minimum node occupancy or hybrid approaches that combine QRF with parametric methods at distribution extremes. +The terminal node sparsity issue identified in Section~\ref{sec:qrf_background} remains a fundamental limitation of tree-based methods. When few training samples reach certain terminal nodes, multiple observations in the recipient dataset may receive identical imputed values, potentially underestimating variability in extreme wealth categories. Future work could explore adaptive tree construction methods that ensure minimum node occupancy or hybrid approaches that combine QRF with parametric methods at distribution extremes. These enhancements would position $\texttt{microimpute}$ further as a comprehensive solution for survey data imputation challenges while maintaining its current strengths in ease of use and methodological rigor. \ No newline at end of file diff --git a/paper/sections/introduction.tex b/paper/sections/introduction.tex index 68e40a2..17d7b7c 100644 --- a/paper/sections/introduction.tex +++ b/paper/sections/introduction.tex @@ -4,15 +4,15 @@ \section{Introduction} The relevance of statistical matching extends across the social sciences, particularly in microsimulation modeling where policy analysis requires combining detailed demographic information from one survey with economic variables from another \citep{bourguignon2006microsimulation}. For instance, household surveys may capture income and consumption patterns but lack wealth data, while financial surveys provide wealth information for different samples. Constructing synthetic files that combine these variables enables richer policy analysis than either source alone permits. -The methodological challenge lies in accurately modeling the conditional distribution $P(Y|X)$ from the donor data and using it to generate plausible values of $Y$ for receiver observations. Different approaches make different assumptions about this distribution. Parametric methods like Ordinary Least Squares assume linearity and homoscedasticity, which are often violated by economic variables exhibiting heavy tails and heterogeneous relationships across the distribution \citep{meinshausen2006quantile}. Nonparametric methods like hot deck matching avoid distributional assumptions but may struggle to capture complex multivariate relationships \citep{andridge2010review}. More recent machine learning approaches, including Quantile Regression Forests and Mixture Density Networks, offer flexible alternatives that can model entire conditional distributions without restrictive parametric assumptions. +The methodological challenge lies in accurately modeling the conditional distribution $P(Y|X)$ from the donor data and using it to generate plausible values of $Y$ for receiver observations. Different approaches make different assumptions about this distribution. Parametric methods like Ordinary Least Squares assume linearity and homoscedasticity, which are often violated by economic variables exhibiting heavy tails and heterogeneous relationships across the distribution \citep{meinshausen2006quantile}. Nonparametric methods like hot deck matching avoid distributional assumptions but may struggle to capture complex multivariate relationships \citep{andridge2010review}. More recent machine learning approaches, including Quantile Random Forests and Mixture Density Networks, offer flexible alternatives that can model entire conditional distributions without restrictive parametric assumptions. -This paper presents the \texttt{microimpute} package, a Python library implementing five statistical matching methods: Hot Deck Matching, Ordinary Least Squares, Quantile Regression, Mixture Density Networks, and Quantile Regression Forests. The package provides a comprehensive framework for comparing these methods through systematic benchmarking, with automated model selection based on quantile loss performance. We demonstrate the methodology through an application to wealth imputation, transferring net worth data from the Survey of Consumer Finances to the Current Population Survey. This task exemplifies the challenges of statistical matching for heavy-tailed distributions. +This paper presents the \texttt{microimpute} package, a Python library implementing five statistical matching methods: Hot Deck Matching, Ordinary Least Squares, Quantile Regression, Mixture Density Networks, and Quantile Random Forests. The package provides a comprehensive framework for comparing these methods through systematic benchmarking, with automated model selection based on quantile loss performance. We demonstrate the methodology through an application to wealth imputation, transferring net worth data from the Survey of Consumer Finances to the Current Population Survey. This task exemplifies the challenges of statistical matching for heavy-tailed distributions. This work provides the following contributions: \begin{itemize} \item An open-source implementation of a unified framework for five imputation methods, facilitating systematic comparison across methods and support statistical matching through accessible, user-friendly software \item An automated benchmarking pipeline that evaluates distributional accuracy using quantile loss, enabling researchers to select the most appropriate method for their specific data characteristics - \item Empirical evidence on the relative performance of these methods for wealth imputation, confirming the advantages of Quantile Regression Forests for heavy-tailed distributions + \item Empirical evidence on the relative performance of these methods for wealth imputation, confirming the advantages of Quantile Random Forests for heavy-tailed distributions \end{itemize} The remainder of this paper is organized as follows. Section 2 reviews the statistical matching problem, including its formal definition, the conditional independence assumption that underlies all matching methods, and the five imputation approaches implemented in \texttt{microimpute}. Section 3 describes our data sources. Section 4 presents the package architecture and benchmarking methodology. Section 5 reports empirical results from the wealth imputation application. Section 6 discusses implications and limitations, and Section 7 concludes. \ No newline at end of file diff --git a/paper/sections/methodology.tex b/paper/sections/methodology.tex index e1d10c6..13a02b7 100644 --- a/paper/sections/methodology.tex +++ b/paper/sections/methodology.tex @@ -2,15 +2,15 @@ \section{Methodology}\label{sec:methodology} \subsection{$\texttt{microimpute}$ package implementation} -$\texttt{microimpute}$\footnote{Complete documentation, implementation details, and usage examples are available at https://policyengine.github.io/microimpute/.} is a Python framework that enables variable imputation through multiple statistical methods, providing a consistent interface for comparing and benchmarking different imputation approaches using quantile loss calculations. +$\texttt{microimpute}$\footnote{Complete documentation, implementation details, and usage examples are available at https://policyengine.github.io/microimpute/.} is an open-source Python framework for statistical matching that provides a unified interface for imputing variables across survey datasets using multiple methods. The package addresses a gap in the microsimulation and microdata research community: while several imputation approaches exist, researchers have lacked a standardized tool for systematically comparing their distributional performance on a given dataset and automatically selecting the best approach. In this study, \texttt{microimpute} serves both as a methodological contribution to the broader research community and as the analytical engine powering the wealth imputation experiments described below. \subsubsection{Core capabilities} -The package currently supports four primary imputation methods: Hot Deck Matching, Ordinary Least Squares Linear Regression, Quantile Regression Forests (QRF), and Quantile Regression. This approach allows researchers to systematically evaluate which technique provides the most accurate results for their specific dataset and research objectives. Additionally, the package is designed to be modular, allowing for easy extension with additional imputation methods in the future. +The package currently supports five primary imputation methods: Hot Deck Matching, Ordinary Least Squares Linear Regression (OLS), Quantile Regression, Quantile Regression Forests (QRF), and Mixture Density Networks (MDN). This approach allows researchers to systematically evaluate which technique provides the most accurate results for their specific dataset and research objectives. Additionally, the package is designed to be modular, allowing for easy extension with additional imputation methods in the future. -\subsubsection{Key features for microimputation} +\subsubsection{Key features} -$\texttt{microimpute}$ addresses imputation challenges between complex survey datasets through several specialized features: +The package provides several capabilities designed for the challenges of cross-survey imputation, each of which plays a specific role in the wealth imputation experiments presented in this paper: \begin{enumerate} \item \textbf{Survey data weights integration}: Handles survey data weights through sampling to ensure that models are trained on a donor data set representative of the true distribution. @@ -20,19 +20,74 @@ \subsubsection{Key features for microimputation} \item \textbf{Autoimputation}: Provides an integrated imputation pipeline that tunes method hyperparameters to the specific datasets, compares methods, and selects the best-performing to conduct the requested imputation in a single function call. \end{enumerate} -\subsection{Evaluation Framework} +\subsection{Evaluation framework} -Comparing imputation methods requires metrics that assess distributional accuracy, not just point prediction. The \texttt{microimpute} package uses quantile loss as the primary evaluation metric: +Comparing imputation methods requires metrics that assess distributional accuracy, not just point prediction. We employ two complementary quantitative metrics, along with visual distributional assessments. + +The primary evaluation metric is quantile loss (also known as pinball loss). For a target quantile $\tau \in (0,1)$, quantile loss assigns an asymmetric penalty that depends on the sign of the forecast error: \begin{equation} \mathcal{L}_\tau = \rho_\tau(y - \hat{Q}_\tau(y|x)) = (y - \hat{Q}_\tau(y|x)) \cdot (\tau - \mathbf{1}_{y < \hat{Q}_\tau(y|x)}) \end{equation} -Averaging over multiple quantiles $\tau \in \{0.1, 0.2, \ldots, 0.9\}$ provides a comprehensive measure of how well the method estimates the conditional distribution across its entire range. Lower average quantile loss indicates better distributional calibration. +Under-prediction of an upper-tail quantile is penalized at rate $\tau$, whereas over-prediction is penalized at rate $1 - \tau$. This asymmetric structure captures directional bias---a crucial feature when imputing highly skewed variables like wealth, where large under-estimates in the right tail must be discouraged more strongly than equal-sized over-estimates \citep{koenker1978regression}. Compared with mean-squared or mean-absolute error, which penalize errors symmetrically, quantile loss directly targets the conditional distribution and remains robust to outliers \citep{ghenis2018quantile}. Averaging over multiple quantiles $\tau \in \{0.1, 0.2, \ldots, 0.9\}$ provides a comprehensive measure of how well the method estimates the conditional distribution across its entire range. Lower average quantile loss indicates better distributional calibration. + +As a complementary metric, we use the Wasserstein distance (also known as the earth mover's distance) to measure overall distributional similarity between imputed and reference distributions. Formally, for one-dimensional distributions $P$ and $Q$: +\begin{equation} + W_1(P, Q) = \int_0^1 |F_P^{-1}(u) - F_Q^{-1}(u)|\, du +\end{equation} + +where $F_P^{-1}$ and $F_Q^{-1}$ are the quantile functions. The Wasserstein distance captures the total ``work'' required to transform one distribution into another, making it sensitive to the magnitude of distributional differences. While quantile loss evaluates conditional predictions at specific quantiles, the Wasserstein distance provides a single summary measure of marginal distributional accuracy, which is particularly informative for heavy-tailed variables like wealth. + +In addition to these quantitative metrics, we employ two visual assessment approaches. First, we compare the imputed wealth distributions against the weighted SCF donor distribution, which---given the SCF's household weights that account for survey representativeness---provides a reference for the true U.S. wealth distribution. Second, we evaluate the average imputed wealth by disposable income decile, assessing whether each method produces a plausible monotonically increasing wealth-income relationship consistent with economic expectations. + +\subsection{Experimental setup}\label{sec:experimental_setup} + +The \texttt{autoimpute} function orchestrates the full imputation pipeline in a single call: it tunes hyperparameters for applicable methods using the Optuna framework \citep{akiba2019optuna}, evaluates all methods through $k$-fold cross-validation on the donor data, and automatically selects the best-performing one to impute onto the receiver dataset. Using this pipeline, we evaluate all five imputation methods---QRF, OLS, Quantile Regression, Hot Deck Matching, and MDN---for net worth imputation from the SCF to the CPS. + +Prior to model training, we apply an inverse hyperbolic sine (asinh) transformation to the net worth target variable. The asinh function, $\operatorname{asinh}(x) = \ln(x + \sqrt{x^2 + 1})$, approximates the natural logarithm for large positive values while remaining well-defined for zero and negative values. This is particularly important for wealth data, where a meaningful fraction of households report negative net worth (i.e., debts exceeding assets), making a standard logarithmic transformation infeasible. The transformation compresses the extreme right tail of the wealth distribution, stabilizing variance and improving model performance across all methods. After imputation, predictions are back-transformed via the inverse function $\sinh(\cdot)$ to recover values on the original dollar scale. + +To create a ground truth for evaluation, we employ cross-validation, splitting the SCF into 5 folds. For each method, \texttt{autoimpute} performs the following steps: + +\begin{enumerate} + \item Mask the wealth values of one holdout fold at a time + + \item Tune the hyperparameters of methods with flexible configurations to the SCF dataset, namely Matching\footnote{Hyperparameters: \texttt{dist\_fun}, \texttt{k}.}, QRF\footnote{Hyperparameters: \texttt{n\_estimators}, \texttt{min\_samples\_split}, \texttt{min\_samples\_leaf}, \texttt{max\_features}, \texttt{bootstrap}.}, and MDN\footnote{Hyperparameters: \texttt{num\_gaussian}, \texttt{learning\_rate}.} + \begin{enumerate} + \item Hyperparameter tuning is conducted through the \texttt{optuna} package, which parallelizes hyperparameter searches to identify the combination minimizing the average quantile loss across all quantiles for the SCF dataset + \end{enumerate} + + \item Impute wealth (\texttt{networth}) onto the SCF holdout set using each method, with the remaining four folds as training data + \begin{enumerate} + \item SCF survey data weights (captured in the variable \texttt{household\_weight}) are passed into \texttt{autoimpute} for sampling + \item Demographic and financial variables available in both surveys serve as predictors, after preprocessing for consistent variable names and encoding: \texttt{is\_female}, \texttt{age}, \texttt{race}, \texttt{own\_children\_in\_household}, \texttt{employment\_income}, \texttt{interest\_dividend\_income}, \texttt{pension\_income} + \item Each method performs imputation at 20 equally spaced quantiles + \end{enumerate} + + \item Compare the imputed values to the SCF holdout values, measuring quantile loss at each of the imputation quantiles + + \item Average quantile loss across all folds and quantiles + + \item Select the method with the lowest average quantile loss as the best performer + + \item Retrain the selected method on the full SCF dataset and use it to perform the final imputation of net worth onto the CPS +\end{enumerate} + +This end-to-end pipeline allows for direct comparison between methods on a common evaluation framework and provides a robust assessment of relative performance. The final imputation step uses the entire SCF as training data, maximizing the information available to the selected model. + +The imputation from the SCF onto the CPS is then replicated for the remaining four methods with an identical setup: training on the full SCF, the same predictor variables, and imputations at the median quantile to avoid introducing bias toward a specific side of the distribution. + +\subsection{Downstream policy validation}\label{sec:policy_validation} + +While distributional metrics such as quantile loss and Wasserstein distance assess how well an imputation method recovers the statistical properties of the target variable, they do not directly capture whether differences between methods matter for downstream policy analysis. To address this, we introduce a policy validation layer that evaluates imputation quality through its effect on a concrete policy simulation. + +We use the Supplemental Security Income (SSI) program as a validation case. SSI is a federal means-tested program that provides cash assistance to aged, blind, and disabled individuals with limited income and resources \citep{ssa2023ssi}. Critically, SSI eligibility includes a resource test with limits of \$2,000 for individuals and \$3,000 for couples, which directly depends on household wealth data that the CPS does not collect. + +In current practice, PolicyEngine's microsimulation model \citep{policyengine_us} handles the missing wealth data by defaulting \texttt{ssi\_countable\_resources} to zero for all CPS households, meaning every categorically eligible individual passes the resource test. This produces a substantial overestimate of SSI participation, as it assumes no household possesses sufficient resources to be disqualified. Without household-level wealth data, the model cannot capture how the actual distribution of resources among potential SSI recipients affects program outcomes. + +Our validation experiment proceeds as follows: for each imputation method, we feed the model's imputed net worth values into PolicyEngine as \texttt{ssi\_countable\_resources}, replacing the default zero-resource assumption with household-level wealth data. We then simulate SSI eligibility and benefits under each imputation scenario and compare the resulting recipient counts and total expenditure against SSA administrative totals (7.4 million recipients and \$59.6 billion in federal payments for 2024). This provides an applied policy validation that complements the statistical evaluation metrics described above. + +A limitation of this approach is that SCF net worth includes assets excluded from SSI countable resources (such as the primary residence and one vehicle), so the imputed values serve as a proxy rather than a precise measure of SSI-relevant resources. Nevertheless, the comparison across methods and against administrative totals provides a useful relative assessment of how imputation choices affect downstream policy estimates. -Additional metrics include: -\begin{itemize} - \item \textbf{Wasserstein distance}: Measures the distance between the marginal distributions of observed and imputed values - \item \textbf{Kolmogorov-Smirnov statistic}: Tests whether observed and imputed values come from the same distribution -\end{itemize} +\subsection{Additional methodological analyses} -These metrics enable systematic comparison across methods, allowing researchers to select the approach best suited to their specific data characteristics. \ No newline at end of file +Two supplementary analyses complement the main experimental framework described above. Appendix~\ref{app:robustness} presents a predictor importance analysis using leave-one-out and progressive inclusion experiments on the QRF model, identifying the relative contribution of each predictor variable to wealth imputation quality and informing the plausibility of the conditional independence assumption. Meanwhile, to understand how the superiority of certain models over others generalize to other contexts and datasets, appendix~\ref{app:benchmarking} reports a cross-dataset benchmarking exercise that evaluates \texttt{microimpute}'s five methods across six publicly available datasets from diverse domains, assessing the generalizability of method performance beyond the SCF-CPS use case. diff --git a/paper/sections/results.tex b/paper/sections/results.tex index a349bf8..20cd9f1 100644 --- a/paper/sections/results.tex +++ b/paper/sections/results.tex @@ -1,84 +1,102 @@ \section{Results} -\subsection{Evaluation metrics} - -To properly assess imputation quality for wealth data, we employ quantile loss to evaluate performance across quantiles. Quantile (or pinball) loss evaluates how well a model predicts a chosen conditional quantile by assigning an asymmetric penalty that depends on the sign of the forecast error and the target quantile \citep{koenker1978regression}. Formally, for residual $e_i = y_i - \hat{y}_i$ and quantile level $\tau\in(0,1)$, the loss is - -$$L_\tau(e_i)=\max\!\bigl(\tau\,e_i,\;(\tau-1)\,e_i\bigr);$$ - -thus, under-prediction of an upper-tail quantile (large positive $e_i$) is penalized at rate $\tau$, whereas over-prediction is penalized at rate $\tau-1$. Minimising this piece-wise linear function ensures that, in expectation, exactly $\tau$ percent of true outcomes fall below the model's prediction, giving the estimator its distribution-calibrating property first formalised by Koenker and Bassett \citep{koenker1978regression}. Because the weights differ for positive versus negative errors, quantile loss captures directional bias. This is a crucial feature when imputing highly skewed variables like wealth, where large under-estimates in the right tail must be discouraged more strongly than equal-sized over-estimates. Compared with mean-squared or mean-absolute error, which optimise the conditional mean or median and penalise errors symmetrically, quantile loss directly targets the entire conditional distribution and remains robust to outliers, making it the appropriate metric for assessing the performance of imputation models when distribution-awareness is a priority \citep{ghenis2018quantile}. - -Additionally, we ensure that the resulting wealth distributions resemble that of the donor wealth distribution in the SCF. The SCF includes household weights to quantify how representative each recorded household and its data are. Thus, by sampling the SCF distribution according to its weights, we can get an accurate estimate of the true US wealth distribution, which simultaneously serves as a visual check for imputed wealth distributions. - -Lastly, by evaluating the average wealth by disposable income decile that results from each method's imputations, we can compare whether and how sensibly wealth imputations correlate with income as expected for each method's results, with households that have the highest disposable income also having the highest wealth. - -\subsection{Experimental setup} - -Using Microimpute's $\texttt{autoimpute}$ function, we evaluate QRF against OLS, standard Quantile Regression, and hot Deck Matching in net worth imputation. To create a ground truth for evaluation, we employ cross-validation, splitting the SCF into 5 folds, or subsets. For each model at a time, we: - -\begin{enumerate} - \item Mask the wealth values of one holdout subset at a time - - \item Tune the hyperparameters of those models that have a flexible set-up to the SCF data set, namely Matching\footnote{hyperparameters: $\texttt{dist\_fun}$, $\texttt{constrained}$, $\texttt{constr\_alg}$, $\texttt{k}$} and QRF\footnote{hyperparameters: $\texttt{n\_estimators}$, $\texttt{min\_samples\_split}$, $\texttt{min\_samples\_leaf}$, $\texttt{max\_features}$, $\texttt{bootstrap}$} - \begin{enumerate} - \item Hyperparameter tunning is done through the $\texttt{optuna}$ package, which paralelizes hyperparameter searches to identify the combination of hyperparameters that minimizes the average quantile loss across all quantiles for the SCF dataset. - \end{enumerate} - - \item Impute wealth ($\texttt{networth}$) onto the SCF holdout set using each method with the remaining four folds as the training data - \begin{enumerate} - \item SCF survey data weights (captured in the variable $\texttt{household\_weight}$) are passed into $\texttt{autoimpute}$ for sampling - \item Demographic and financial variables available in both surveys behave as predictors, after being preprocess for consistent variable names and encoding: $\texttt{is\_female}$, $\texttt{age}$, $\texttt{race}$, $\texttt{own\_children\_in\_household}$, $\texttt{employment\_income}$, $\texttt{interest\_dividend\_income}$, $\texttt{pension\_income}$ - \item Each model performs imputation at 20 equally spaced quantiles - \end{enumerate} - - \item Compare the imputed values to the SCF training values, measuring quantile loss at each of the imputation quantiles - - \item Average quantile loss across all folds and quantiles -\end{enumerate} - -This approach allows for direct comparison between methods on a common testing framework, providing a robust assessment of relative performance. The model with the lowest average quantile loss is chosen as the best performing and automatically selected to perform the final imputation onto the CPS data set, for which the full SCF will be used for training. - -Next, the imputation from the SCF onto the CPS is replicated for the other three models that were not selected, with an identical setup that includes training on the full SCF, the same predictor variables, and imputations at the median quantile, avoiding introducing any bias toward a specific side of the distribution. - \subsection{Imputation results} -The cross-validation results demonstrate QRF's superior performance across the wealth distribution. QRF achieved an average quantile loss of 6.6m across all quantiles, outperforming OLS (8.3m), Hot Deck Matching (7.75m), and standard Quantile Regression (7.05m). This 20.5\% improvement over OLS and 14.8\% over Matching and 6.4\% improvement over Quantile Regression represents a substantial gain in imputation accuracy. +The cross-validation results demonstrate QRF's strong performance across the wealth distribution. With the asinh transformation applied to the net worth target variable, QRF achieved the lowest average quantile loss across all quantiles, outperforming OLS, Hot Deck Matching, Quantile Regression, and MDN. QRF's overall consistency across the entire distribution made it the best-performing method for wealth imputation in this setting. -The performance advantage was particularly pronounced in the middle portions of the distribution (10th-80th percentiles), where QRF maintained consistently lower quantile loss values. While Quantile Regression showed competitive performance at extreme quantiles (above the 85th percentile), QRF's overall consistency across the entire distribution made it the optimal choice for wealth imputation. +The performance advantage was particularly pronounced in the middle portions of the distribution (10th--80th percentiles), where QRF maintained consistently lower quantile loss values. While Quantile Regression showed competitive performance at extreme quantiles (above the 85th percentile), QRF's broader consistency led to its selection as the optimal method. -Microimpute's automated hyperparameter tuning contributed significantly to these results. The optimal QRF configuration identified through cross-validation included 200 trees and a minimum of 5 samples per leaf node for a split. These parameters balanced model complexity with generalization capability, preventing overfitting while capturing the nuanced relationships between demographic predictors and wealth outcomes. +Microimpute's automated hyperparameter tuning via the Optuna framework contributed to these results. The optimal QRF configuration identified through cross-validation included 202 trees, a minimum of 1 sample per leaf, a split threshold of 5 samples, approximately 95\% of features considered at each split, and bootstrap sampling enabled. These parameters balanced model complexity with generalization capability, preventing overfitting while capturing the non-linear relationships between demographic predictors and wealth outcomes. \subsubsection{Quantile loss} -Comparing all four models to each other, we can evaluate performance through quantile loss, as well as comparing the overlap of the imputed wealth distribution with the original SCF data. +Comparing all five models to each other, we can evaluate performance through quantile loss, as well as comparing the overlap of the imputed wealth distribution with the original SCF data. -\begin{figure}[h] +\begin{figure}[htbp] \centering - \includegraphics[width=\textwidth]{figures/quantile_loss_comparison.png} - \caption{Cross-validation method performance at 20 equally spaced quantiles. Test quantile loss at each quantile is averaged across 5 cross-validation folds, and the dashed lines represent average quantile loss across all quantiles.} + \includegraphics[width=\textwidth]{figures/models_loss_benchmark.png} + \caption{Cross-validation method performance at 20 equally spaced quantiles for all five imputation methods. Test quantile loss at each quantile is averaged across 5 cross-validation folds, and the dashed lines represent average quantile loss across all quantiles.} \label{fig:quantile_loss_comparison} \end{figure} -We observe how QRF proves to be the best-performing model out of the four. It significantly outperforms Matching and OLS on average, while only being outperformed by QuantReg past the 80th quantile. Matching's performance presents the perfect opportunity to see the quantile loss's directional bias at work. Because Matching does not incorporate quantile information into its imputation process in any way, it will match donor and receiver units, and thus impute values identically regardless of the quantile at work. The laddering behavior observed above results from the fact that Matching's wealth imputations consistently underpredict relative to the true wealth values, and this property is increasingly favored for quantiles below the median, and increasingly penalized as quantiles approach the right end of the distribution. +We observe how QRF proves to be the best-performing model out of the five. It significantly outperforms Matching and OLS on average, while only being outperformed by QuantReg past the 80th quantile. Matching's performance presents the perfect opportunity to see the quantile loss's directional bias at work. Because Matching does not incorporate quantile information into its imputation process in any way, it will match donor and receiver units, and thus impute values identically regardless of the quantile at work. The laddering behavior observed above results from the fact that Matching's wealth imputations consistently underpredict relative to the true wealth values, and this property is increasingly favored for quantiles below the median, and increasingly penalized as quantiles approach the right end of the distribution. \subsubsection{Imputed wealth distribution comparisons} -\begin{figure}[h] +\begin{figure}[htbp] \centering - \includegraphics[width=\textwidth]{figures/imputation_distributions_method_comparison.png} - \caption{Weight-adjusted imputed wealth distributions model comparisons, relative to the donor SCF wealth distribution. Dashed lines represent median values.} + \includegraphics[width=\textwidth]{figures/models_dist_comparison.png} + \caption{Log-transformed net worth distributions for all five imputation methods, compared to the weighted SCF donor distribution. Dashed lines represent median values.} \label{fig:imputation_distributions_method_comparison} \end{figure} -By visually comparing the wealth distributions resulting from imputing with each method, and comparing them to the weighted donor distribution, we gain a more comprehensive understanding of imputation performance, moving past the test quantile loss average measured on the SCF. The distribution of wealth values imputed by QRF closely resembles the original SCF distribution, suggesting that QRF is not only the best method in terms of quantile loss but also strong when achieving distributional estimates close to the true wealth distribution in the United States. Because Matching directly takes values from the donor distribution and imputes them onto the receiver, it is unsurprising that its distribution closely resembles the donor distribution. However, Matching's performance in quantile loss confirms that even if it takes the exact values from the donor, it may struggle to uncover the non-linear relationship between the different predictors and wealth values, resulting in a seemingly correct data distribution but innacurate imputation given certain household characteristics. Meanwhile, OLS and QuantReg fail to capture the variability across the distribution and impute most values at the lower or higher ends of the distribution. +By visually comparing the wealth distributions resulting from imputing with each method, and comparing them to the weighted donor distribution, we gain a more comprehensive understanding of imputation performance, moving past the test quantile loss average measured on the SCF. The distribution of wealth values imputed by QRF closely resembles the original SCF distribution, suggesting that QRF is not only the best method in terms of quantile loss but also strong when achieving distributional estimates close to the true wealth distribution in the United States. Because Matching directly takes values from the donor distribution and imputes them onto the receiver, it is unsurprising that its distribution closely resembles the donor distribution. However, Matching's performance in quantile loss confirms that even if it takes the exact values from the donor, it may struggle to uncover the non-linear relationship between the different predictors and wealth values, resulting in a seemingly correct data distribution but innacurate imputation given certain household characteristics. Meanwhile, OLS, QuantReg, and MDN fail to capture the variability across the distribution and impute most values at the lower or higher ends of the distribution. + +\subsubsection{Wasserstein distance} + +Table~\ref{tab:wasserstein} reports the Wasserstein distance between each model's imputed wealth distribution and the weighted SCF donor distribution, providing a single scalar summary of marginal distributional accuracy. + +\begin{table}[htbp] + \centering + \caption{Wasserstein distance (earth mover's distance) between each model's imputed net worth distribution on the CPS and the weighted SCF donor distribution. Lower values indicate closer distributional agreement.} + \label{tab:wasserstein} + \begin{tabular}{lr} + \toprule + Model & Wasserstein Distance \\ + \midrule + QRF & 910,299 \\ + Matching & 1,192,141 \\ + OLS & 67,994,870 \\ + QuantReg & $1.22 \times 10^{14}$ \\ + MDN & $8.23 \times 10^{14}$ \\ + \bottomrule + \end{tabular} +\end{table} + +QRF achieves the lowest Wasserstein distance (\$910,299), confirming that its imputed distribution most closely reproduces the donor wealth distribution. Matching follows at \$1.19 million, consistent with its mechanism of drawing values directly from the donor pool. OLS produces a substantially larger distance (\$68.0 million), reflecting its compressed predictions that fail to span the full range of the wealth distribution. QuantReg and MDN exhibit Wasserstein distances several orders of magnitude larger, indicating severe distributional mismatch. These methods concentrate imputed values in narrow regions, producing distributions far from the heavy-tailed shape of the true wealth distribution, resulting in such high Wasserstein distance values. \subsubsection{Distribution of wealth by disposable income decile} -\begin{figure}[h] +\begin{figure}[htbp] \centering - \includegraphics[width=\textwidth]{figures/imputation_comparison_by_income_decile.png} + \includegraphics[width=\textwidth]{figures/models_median_decile_comparison.png} \caption{Average household net worth by disposable income decile model comparison. Households are divided into 10 equally sized groups based on their disposable income.} \label{fig:imputation_comparison_by_income_decile} \end{figure} -These results support the observations above, with QRF presenting the most consistent and plausible relationship to disposable income, with a gradually increasing average as the deciles increase. This plot also demonstrates the caveats of the other models, for example showing the lower variability in OLS's predictions, and Matching's consistent underprediction across deciles. \ No newline at end of file +These results support the observations above, with QRF presenting the most consistent and plausible relationship to disposable income, with a gradually increasing average as the deciles increase. This plot also demonstrates the caveats of the other models, for example showing the lower variability in OLS's predictions, and Matching's consistent underprediction across deciles. + +\subsection{Policy validation: SSI simulation} + +Following the downstream validation framework described in Section~\ref{sec:policy_validation}, we feed each model's imputed net worth into PolicyEngine as \texttt{ssi\_countable\_resources} and simulate SSI eligibility and benefits. Table~\ref{tab:ssi_results} compares simulated recipient counts and total expenditure against SSA administrative totals for 2024. + +\begin{table}[htbp] + \centering + \caption{SSI simulation outcomes by imputation method compared to SSA administrative totals (2024). The baseline scenario uses PolicyEngine's default behavior, where \texttt{ssi\_countable\_resources} defaults to zero for all CPS households.} + \label{tab:ssi_results} + \begin{tabular}{lrrr} + \toprule + Model & Recipients (M) & Expenditure (\$B) & Recipients \% of Admin \\ + \midrule + Admin total & 7.4 & 59.6 & 100.0\% \\ + Baseline (no wealth) & 19.8 & 152.6 & 267.2\% \\ + \midrule + QuantReg & 8.3 & 74.6 & 111.7\% \\ + MDN & 10.4 & 85.4 & 140.0\% \\ + Matching & 11.0 & 88.8 & 148.3\% \\ + OLS & 11.3 & 100.5 & 153.3\% \\ + QRF & 12.1 & 102.8 & 163.3\% \\ + \bottomrule + \end{tabular} +\end{table} + +Without imputed wealth data, the baseline scenario---where \texttt{ssi\_countable\_resources} defaults to zero for all CPS households---produces 19.8 million recipients and \$152.6 billion in expenditure (267.2\% of administrative totals), substantially overestimating SSI program size. All five imputation methods dramatically reduce this overestimation by screening out households whose imputed wealth exceeds the resource limits. Quantile Regression yields the closest estimates to administrative totals among the imputation methods (111.7\% of admin recipients), followed by MDN (140.0\%). QRF, despite achieving the lowest quantile loss in the cross-validation evaluation, produces higher SSI estimates (163.3\%) than QuantReg or MDN in this policy validation, though still far closer to administrative totals than the baseline. + +The remaining overestimation across all imputation methods warrants noting. The imputed variable is SCF net worth, which includes assets such as primary residence and vehicles that are excluded from SSI countable resources under program rules. Using total net worth as a proxy for countable resources therefore does not precisely replicate the SSI resource test, and will tend to disqualify fewer households than a measure limited to countable resources would. + +\begin{figure}[htbp] + \centering + \includegraphics[width=\textwidth]{figures/models_ssi_comparison.png} + \caption{SSI recipients (left) and total expenditure (right) by imputation method, compared to the SSA administrative totals (dashed line) and the baseline scenario without imputed wealth.} + \label{fig:ssi_outcomes} +\end{figure} From 70e7a894b16161b5e97197f9c40f2434a31685c6 Mon Sep 17 00:00:00 2001 From: juaristi22 Date: Sun, 22 Feb 2026 15:40:35 +0530 Subject: [PATCH 4/5] further draft improvements --- paper/bibliography/references.bib | 10 ++++++ paper/main.pdf | Bin 469392 -> 478257 bytes paper/main.tex | 2 +- paper/sections/abstract.tex | 2 +- paper/sections/appendix_robustness.tex | 2 +- paper/sections/background.tex | 11 +++---- paper/sections/conclusion.tex | 4 +-- paper/sections/data.tex | 8 ++--- paper/sections/discussion.tex | 20 ++++++++---- paper/sections/introduction.tex | 6 ++-- paper/sections/methodology.tex | 8 +++-- paper/sections/results.tex | 43 +++++++++++++++++++------ 12 files changed, 78 insertions(+), 38 deletions(-) diff --git a/paper/bibliography/references.bib b/paper/bibliography/references.bib index a2bf893..e34d2f8 100644 --- a/paper/bibliography/references.bib +++ b/paper/bibliography/references.bib @@ -599,3 +599,13 @@ @inproceedings{akiba2019optuna pages = {2623--2631}, year = {2019} } + +@techreport{fed2023scf, + title = {Changes in {U.S.} Family Finances from 2019 to 2022: Evidence from the {Survey of Consumer Finances}}, + author = {{Board of Governors of the Federal Reserve System}}, + year = {2023}, + institution = {Federal Reserve Bulletin}, + month = {October}, + volume = {109}, + number = {4} +} diff --git a/paper/main.pdf b/paper/main.pdf index 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Imputation Methods for U.S. Household Wealth} % Define the \samethanks command \newcommand*\samethanks[1][\value{footnote}]{\footnotemark[#1]} diff --git a/paper/sections/abstract.tex b/paper/sections/abstract.tex index 094b0c9..e80f2ae 100644 --- a/paper/sections/abstract.tex +++ b/paper/sections/abstract.tex @@ -1,3 +1,3 @@ \section*{Abstract} -Microdata surveys often lack variables critical for policy analysis, requiring imputation from richer donor surveys, yet researchers have lacked standardized tools for systematically comparing imputation methods and selecting the best approach for a given dataset. We introduce $\texttt{microimpute}$, an open-source Python package that provides a unified framework for benchmarking, tuning, and automatically selecting among multiple imputation methods. We apply it to impute household wealth from the Survey of Consumer Finances (SCF) onto the Current Population Survey (CPS). Evaluating five methods---Quantile Random Forests (QRF), Ordinary Least Square (OLS), Quantile Regression, Hot Deck Matching, and Mixture Density Networks, we find that QRF achieves the lowest quantile loss and Wasserstein distance, reflecting its capacity to model the non-linear relationships between demographic predictors and wealth. A downstream Supplemental Security Income simulation demonstrates the practical stakes of method choice: without imputed wealth, the microsimulation overestimates SSI recipients by 167\%, while all five imputation methods substantially reduce this gap. Cross-dataset benchmarking across six additional domains reveals, however, that no single method dominates universally. Although QRF proves best at capturing complex, non-linear relationships, Hot Deck Matching better preserves marginal distributions by drawing directly from the donor pool, while OLS remains competitive for approximately linear relationships. These findings underscore that imputation method selection should be empirically driven rather than prescribed, motivating standardized benchmarking tools, like $\texttt{microimpute}$, that enable researchers to identify the best approach for their specific data characteristics and research objectives. \ No newline at end of file +Microdata surveys often lack variables critical for policy analysis, requiring imputation from richer donor surveys, yet researchers have lacked standardized tools for systematically comparing imputation methods and selecting the best approach for a given dataset. We introduce $\texttt{microimpute}$, an open-source Python package that provides a unified framework for benchmarking, tuning, and automatically selecting among multiple imputation methods. We apply it to impute U.S. household wealth from the Survey of Consumer Finances (SCF) onto the Current Population Survey (CPS). Evaluating five methods---Quantile Random Forests (QRF), Ordinary Least Square (OLS), Quantile Regression, Hot Deck Matching, and Mixture Density Networks, we find that QRF achieves the lowest quantile loss and Wasserstein distance, reflecting its capacity to model the non-linear relationships between demographic predictors and wealth. A downstream Supplemental Security Income simulation demonstrates the practical stakes of method choice: without imputed wealth, the microsimulation overestimates SSI recipients by 167\%, while all five imputation methods substantially reduce this gap. Cross-dataset benchmarking across six additional domains reveals, however, that no single method dominates universally. Although QRF proves best at capturing complex, non-linear relationships, Hot Deck Matching better preserves marginal distributions by drawing directly from the donor pool, while OLS remains competitive for approximately linear relationships. These findings underscore that imputation method selection should be empirically driven rather than prescribed, motivating standardized benchmarking tools, like $\texttt{microimpute}$, that enable researchers to identify the best approach for their specific data characteristics and research objectives. \ No newline at end of file diff --git a/paper/sections/appendix_robustness.tex b/paper/sections/appendix_robustness.tex index 611d619..f143f0e 100644 --- a/paper/sections/appendix_robustness.tex +++ b/paper/sections/appendix_robustness.tex @@ -4,7 +4,7 @@ \section{Predictor Importance Analysis for SCF-CPS Imputation}\label{app:robustn \subsection{Leave-one-out analysis} -We measure the impact of each predictor by excluding it from the QRF model and observing the resulting increase in average quantile loss relative to the full model (baseline loss: 1,661,723). Table~\ref{tab:leave_one_out} reports the results. +We measure the impact of each predictor by excluding it from the QRF model and observing the resulting increase in average quantile loss relative to the full model (baseline loss: 1,661,723, computed on the original dollar scale rather than the asinh-transformed scale used in Section~5). Table~\ref{tab:leave_one_out} reports the results. \begin{table}[h] \centering diff --git a/paper/sections/background.tex b/paper/sections/background.tex index 489c970..31649ae 100644 --- a/paper/sections/background.tex +++ b/paper/sections/background.tex @@ -21,7 +21,7 @@ \subsection{The Statistical Matching Problem} The first approach (deterministic imputation) may be appropriate when only point predictions are needed, though it systematically underestimates variance \citep{rubin1987multiple}. The second approach (stochastic imputation) preserves the variability of $Y$ and is preferred when distributional properties must be maintained. This is often the case in microsimulation modeling, where full distributional policy analysis is required. -\subsection{The Conditional Independence Assumption} +\subsection{The Conditional Independence Assumption}\label{sec:cia} All statistical matching procedures rely, either explicitly or implicitly, on the Conditional Independence Assumption (CIA): \begin{equation} @@ -56,7 +56,7 @@ \subsection{Imputation Methods} \subsubsection{Hot Deck Matching} -Hot deck imputation replaces missing values in a receiver record with observed values from ``similar'' donor records \citep{andridge2010review}. The \texttt{microimpute} implementation uses the constrained distance hot deck approach from the StatMatch R package \citep{dorazio2021statistical}. To identify the best match, the method computes distances between each receiver observation and all donor observations based on the common variables $X$, selects donor records within a specified distance threshold, and randomly samples from the eligible donors, with optional weighting by survey weights. For continuous and mixed covariates, Mahalanobis or Gower distance metrics can capture similarity across different variable types. The donated value will thus be an actual observed value from the donor file, ensuring plausibility. +Hot deck imputation replaces missing values in a receiver record with observed values from ``similar'' donor records \citep{andridge2010review}. The \texttt{microimpute} implementation uses the unconstrained distance hot deck approach from the StatMatch R package \citep{dorazio2021statistical}. To identify the best match, the method computes distances between each receiver observation and all donor observations based on the common variables $X$, selects donor records within a specified distance threshold, and randomly samples from the eligible donors, with optional weighting by survey weights. For continuous and mixed covariates, Mahalanobis or Gower distance metrics can capture similarity across different variable types. The donated value will thus be an actual observed value from the donor file, ensuring plausibility. Hot deck methods are nonparametric and avoid distributional assumptions, making them robust when the true conditional distribution is unknown or complex \citep{dorazio2006statistical}. However, they face limitations: \begin{itemize} @@ -180,7 +180,6 @@ \subsubsection{Quantile Random Forests (QRF)}\label{sec:qrf_background} \begin{itemize} \item \textbf{Extrapolation}: Trees cannot extrapolate beyond the range of training data, potentially underestimating extreme quantiles when donor and receiver distributions differ \item \textbf{Discrete approximation}: The estimated distribution is discrete, with support limited to observed $Y$ values in the training data - \item \textbf{Computational cost}: Training and prediction are slower than parametric methods, though generally faster than neural networks \end{itemize} \subsection{Current Practice in Microsimulation} @@ -193,10 +192,10 @@ \subsection{Current Practice in Microsimulation} More recent microsimulation efforts have begun incorporating administrative data through record linkage rather than statistical matching \citep{abowd2019census}, but this approach requires access to restricted data and raises privacy concerns. For researchers working with publicly available survey data, statistical matching remains essential, creating a need for methods that can better capture complex distributional features. -The limitations of traditional approaches can be particularly acute for heavily-tailed variables where relationships with predictors vary across the distribution. Machine learning methods such as Quantile Regression Forests offer a promising alternative, as they can capture nonlinear relationships, model the entire conditional distribution, and handle heavy-tailed data without restrictive parametric assumptions. Despite these advantages, QRF and similar methods have seen limited adoption in mainstream microsimulation practice. The \texttt{microimpute} package aims to lower barriers to adopting these more flexible methods by providing a unified framework for comparing traditional and machine learning approaches, enabling researchers to empirically evaluate which method best suits their specific data characteristics. +The limitations of traditional approaches can be particularly acute for heavily-tailed variables where relationships with predictors vary across the distribution. Machine learning methods such as Quantile Random Forests offer a promising alternative, as they can capture nonlinear relationships, model the entire conditional distribution, and handle heavy-tailed data without restrictive parametric assumptions. Despite these advantages, QRF and similar methods have seen limited adoption in mainstream microsimulation practice. The \texttt{microimpute} package aims to lower barriers to adopting these more flexible methods by providing a unified framework for comparing traditional and machine learning approaches, enabling researchers to empirically evaluate which method best suits their specific data characteristics. \subsection{Supplemental Security Income as a Validation Case} -The limitations of traditional imputation approaches in microsimulation have concrete policy consequences, which can be illustrated through the Supplemental Security Income (SSI) program. SSI is a federal means-tested program for aged, blind, and disabled individuals with strict resource limits (\$2,000 for individuals, \$3,000 for couples) that have remained unchanged since 1989 \citep{ssa2023ssi}. The resource test requires household wealth and asset data that the CPS does not collect, making SSI eligibility determination dependent on imputed or heuristic wealth values. +The limitations of traditional imputation approaches in microsimulation have concrete consequences on downstream policy analysis. The impact of wealth imputation quality for U.S. households can be illustrated through the Supplemental Security Income (SSI) program. SSI is a federal means-tested program for aged, blind, and disabled individuals with strict resource limits (\$2,000 for individuals, \$3,000 for couples) that have remained unchanged since 1989 \citep{ssa2023ssi}. The resource test requires household wealth and asset data that the CPS does not collect, making SSI eligibility determination dependent on imputed or heuristic wealth values. -In 2024, SSI served approximately 7.4 million recipients with \$59.6 billion in federal payments \citep{ssa2024ssi}. Because different wealth imputation methods produce different wealth distributions, they directly affect which simulated households pass the resource test and therefore the resulting estimates of SSI recipient counts and expenditure. This makes SSI a particularly informative downstream validation case for comparing imputation approaches, as described in Section~\ref{sec:policy_validation}. +In 2024, SSI served approximately 7.4 million recipients with \$59.6 billion in federal payments \citep{ssa2024ssi}. Because different wealth imputation methods produce different wealth distributions, they directly affect which simulated households pass the resource test and therefore the resulting estimates of SSI recipient counts and expenditure. This makes SSI a particularly informative validation case for comparing imputation approaches, as described in Section~\ref{sec:policy_validation}. diff --git a/paper/sections/conclusion.tex b/paper/sections/conclusion.tex index dd09fc6..48e8047 100644 --- a/paper/sections/conclusion.tex +++ b/paper/sections/conclusion.tex @@ -1,7 +1,7 @@ \section{Conclusion} -This paper has introduced $\texttt{microimpute}$, an open-source Python package for cross-survey imputation, and applied it to a substantive policy problem: imputing household wealth from the SCF onto the CPS. Through systematic comparison of five imputation methods using an inverse hyperbolic sine transformation to accommodate negative and zero net worth values, we find that Quantile Regression Forests achieve the strongest conditional accuracy for wealth imputation, driven by their capacity to model the complex non-linear relationships between demographic predictors and wealth. A downstream SSI simulation validates the practical importance of imputation method choice: without wealth data, the microsimulation overestimates SSI recipients by 167\%, while imputation-based approaches substantially narrow this gap. +This paper has introduced $\texttt{microimpute}$, an open-source Python package for cross-survey imputation, and applied it to a substantive policy problem: imputing household wealth from the SCF onto the CPS. Through systematic comparison of five imputation methods using an inverse hyperbolic sine transformation to accommodate negative and zero net worth values, we find that Quantile Random Forests achieve the strongest conditional accuracy among the five methods evaluated for wealth imputation, driven by their capacity to model the complex non-linear relationships between demographic predictors and wealth. A downstream SSI simulation validates the practical importance of imputation method choice: without wealth data, the microsimulation overestimates SSI recipients by 167\%, while imputation-based approaches substantially narrow this gap. -Our findings also reveal important nuances about method selection. Cross-dataset benchmarking shows that QRF's advantage reflects the specific characteristics of the wealth imputation problem---large sample sizes and complex non-linear relationships---rather than a universal superiority. Hot Deck Matching preserves marginal distributions effectively by drawing directly from the donor pool, and OLS remains competitive for datasets with approximately linear predictor-target relationships. Predictor importance analysis further shows that financial variables---particularly interest and dividend income---drive the majority of imputation accuracy, with demographic variables contributing marginally. +Our findings also reveal important nuances about method selection. Cross-dataset benchmarking shows that QRF's advantage reflects the specific characteristics of the wealth imputation problem rather than a universal superiority, and predictor importance analysis confirms that financial variables drive the majority of imputation accuracy. These results carry two broader implications. First, imputation method selection should be empirically driven rather than prescribed; the optimal approach depends on dataset characteristics, and standardized comparison tools are essential for enabling this data-driven selection. Second, the gap between statistical and policy-relevant evaluation metrics---QRF achieves the best quantile loss yet not the closest SSI estimates to administrative totals---highlights the importance of validating imputation quality through downstream applications, not only through statistical benchmarks. Future work should expand $\texttt{microimpute}$'s method library to include gradient boosting and deep learning approaches \citep{alaa2024deep}, explore ensemble strategies that combine methods across different parts of the distribution, and address the terminal node sparsity challenge that limits tree-based methods at extreme quantiles. \ No newline at end of file diff --git a/paper/sections/data.tex b/paper/sections/data.tex index ccdcb4c..de0f564 100644 --- a/paper/sections/data.tex +++ b/paper/sections/data.tex @@ -1,19 +1,19 @@ \section{Data}\label{sec:data} -We demonstrate the \texttt{microimpute} methodology through an application to wealth imputation, transferring net worth from the Survey of Consumer Finances (SCF) onto the Current Population Survey (CPS). +The selected application to demonstrate the \texttt{microimpute} methodology involves transferring net worth from the Survey of Consumer Finances (SCF) onto the Current Population Survey (CPS). \subsection{Survey of Consumer Finances} -The Survey of Consumer Finances (SCF), sponsored by the Federal Reserve Board, is a triennial survey providing detailed information on U.S. households' assets, liabilities, income, and demographic characteristics. Its dual-frame sample design includes a standard national area-probability sample and a list sample deliberately oversampling wealthy households to better capture the skewed wealth distribution \citep{barcelo2006imputation}. The SCF is a benchmark for wealth imputation research due to its detailed financial data and the known complexities arising from its design and the nature of wealth. Item nonresponse in public-use SCF datasets is addressed by the Federal Reserve through a multiple imputation approach that generates five complete datasets with different imputed values, using sequential regression-based procedures that incorporate range constraints, logical data structures, and empirical residuals to preserve the complex multivariate relationships inherent in wealth data \citep{kennickell1998multiple}. +The Survey of Consumer Finances, sponsored by the Federal Reserve Board, is a triennial survey providing detailed information on U.S. households' assets, liabilities, income, and demographic characteristics. Its dual-frame sample design includes a standard national area-probability sample and a list sample deliberately oversampling wealthy households to better capture the skewed wealth distribution \citep{barcelo2006imputation}. The SCF is a benchmark for wealth imputation research due to its detailed financial data and the known complexities arising from its design and the nature of wealth. Item nonresponse in public-use SCF datasets is addressed by the Federal Reserve through a multiple imputation approach that generates five complete datasets with different imputed values, using sequential regression-based procedures that incorporate range constraints, logical data structures, and empirical residuals to preserve the complex multivariate relationships inherent in wealth data \citep{kennickell1998multiple}. Specifically, we use the 2022 summarized SCF as our donor dataset. \subsection{Current Population Survey} -The Current Population Survey (CPS), conducted jointly by the U.S. Census Bureau and the Bureau of Labor Statistics, is a monthly survey of approximately 60,000 U.S. households that serves as the primary source of labor force statistics for the United States. The CPS uses a multistage probability-based sample designed to represent the civilian non-institutional population; on average, each sampled household represents approximately 2,500 households in the population. The Annual Social and Economic Supplement (ASEC) extends the core survey with detailed annual income data, including earnings, unemployment compensation, Social Security, pension income, interest, dividends, and other income sources. However, despite its comprehensive coverage of income and employment, the CPS does not collect information on household wealth, assets, or liabilities, which are key variables needed for wealth-based policy analysis. This omission motivates the need for statistical matching to transfer wealth information from the SCF onto the CPS. +The Current Population Survey, conducted jointly by the U.S. Census Bureau and the Bureau of Labor Statistics, is a monthly survey of approximately 60,000 U.S. households that serves as the primary source of labor force statistics for the United States. The CPS uses a multistage probability-based sample designed to represent the civilian non-institutional population; on average, each sampled household represents approximately 2,500 households in the population. The Annual Social and Economic Supplement (ASEC) extends the core survey with detailed annual income data, including earnings, unemployment compensation, Social Security, pension income, interest, dividends, and other income sources. However, despite its comprehensive coverage of income and employment, the CPS does not collect information on household wealth, assets, or liabilities, which are key variables needed for wealth-based policy analysis. This omission motivates the need for statistical matching to transfer wealth information from the SCF onto the CPS. Specifically, we use the Enhanced CPS 2024 produced by PolicyEngine \citep{policyengine_us} as our receiver dataset. The Enhanced CPS extends the base CPS ASEC microdata through survey reweighting and calibration to administrative totals, improving its representativeness for tax-benefit microsimulation. The SCF 2022 financial variables are uprated to 2024 dollars using CPI adjustment factors to ensure consistency with the receiver dataset's reference year. \subsection{Comparative analysis and characteristics for imputation} -Imputing between SCF and CPS exemplifies the challenges of statistical matching, as it requires combining a specialized survey with detailed wealth data but limited sample size with a large representative survey that lacks wealth measures entirely. The SCF-to-CPS imputation is directly relevant to U.S. policy microsimulation, where researchers require comprehensive microdata combining income, demographics, and wealth to analyze the distributional effects of tax and benefit reforms. By imputing wealth onto the CPS, analysts can examine wealth distributions in a sample roughly thirteen times larger than the SCF alone, enabling finer demographic disaggregations and more precise subgroup analyses. Moreover, the heavy-tailed nature of wealth distributions and the different sampling designs of these surveys create methodological challenges that make this an informative test case for comparing imputation methods. \ No newline at end of file +The SCF and CPS differ fundamentally in sampling design: the SCF employs a dual-frame approach combining a standard area-probability sample with a list sample that deliberately oversamples wealthy households, while the CPS uses a multistage area-probability household design representative of the civilian non-institutional population. This difference means that the donor and receiver surveys weight different parts of the wealth distribution differently, making proper survey weight integration during model training essential for unbiased imputation. The two surveys share a core set of demographic and income variables---age, sex, race, number of children, employment income, interest and dividend income, and pension income---but differ in their detailed variable coverage: the SCF collects granular asset and liability data absent from the CPS, while the CPS captures labor force dynamics and program participation variables not available in the SCF. This partial overlap constrains the conditioning set available for imputation and underscores the importance of the conditional independence assumption discussed in Section~\ref{sec:cia}. Together, the contrasting designs, the heavy-tailed nature of wealth, and the variable overlap constraints make the SCF-to-CPS imputation a particularly informative test case for comparing methods, while also being directly relevant to U.S. policy microsimulation, where researchers require comprehensive microdata combining income, demographics, and wealth to analyze the distributional effects of tax and benefit reforms. \ No newline at end of file diff --git a/paper/sections/discussion.tex b/paper/sections/discussion.tex index 8835cb5..699505b 100644 --- a/paper/sections/discussion.tex +++ b/paper/sections/discussion.tex @@ -1,10 +1,10 @@ \section{Discussion} -This paper has demonstrated both theoretically and empirically that Quantile Regression Forests provide substantial advantages for microimputation, particularly through the example of wealth imputation from the SCF to the CPS. By preserving the full conditional distribution of wealth, QRF maintains the critical statistical properties of wealth data that traditional methods fail to capture. +This paper has evaluated five imputation methods within the \texttt{microimpute} framework, finding that Quantile Random Forests offer meaningful advantages for the SCF-to-CPS wealth imputation application. By preserving the full conditional distribution of wealth, QRF maintains the key statistical properties of wealth data that traditional methods struggle to capture. \subsection{Strengths powered by $\texttt{microimpute}$} -The $\texttt{microimpute}$ package's design philosophy and implementation choices provide several key advantages that contributed to the success of our wealth imputation analysis, and will extend to future model comparisons across apllications: +The $\texttt{microimpute}$ package's design philosophy and implementation choices provide several key advantages that contributed to the success of our wealth imputation analysis, and will extend to future model comparisons across applications: \begin{enumerate} \item \textbf{Unified interface for method comparison}: $\texttt{microimpute}$'s consistent API across all imputation methods enabled systematic benchmarking without implementation-specific biases. This standardization ensures that performance differences reflect genuine methodological advantages rather than implementation artifacts \citep{policyengine2025microimpute}. @@ -24,26 +24,32 @@ \subsection{Generalizability and predictor sensitivity} The main SCF-CPS results are complemented by two supplementary analyses that inform the broader applicability of these findings. -The cross-dataset benchmarking exercise (Appendix~\ref{app:benchmarking}) reveals that method performance is context-dependent, with each method's strengths mapping to different data characteristics. QRF achieves the best Wasserstein distance on datasets exhibiting complex non-linear relationships---such as the Brazilian houses dataset and the SCF wealth imputation---where its ability to model flexible conditional distributions provides a clear advantage. Matching, by contrast, achieves the lowest Wasserstein distance on four of six benchmarking datasets and the best mean rank overall (1.67 vs.\ QRF's 1.83). This strong marginal distributional performance reflects Matching's core mechanism: by drawing imputed values directly from the donor pool, it inherently preserves the shape, skewness, and tail behavior of the original distribution, yielding low Wasserstein distances even when it may not optimally condition on predictor values. However, as the main SCF-CPS results demonstrate, Matching's distributional fidelity does not guarantee accurate \textit{conditional} imputation---households may receive plausible-looking wealth values that do not correctly reflect their individual characteristics. +The cross-dataset benchmarking exercise (Appendix~\ref{app:benchmarking}) reveals that method performance is context-dependent, with each method's strengths mapping to different data characteristics. QRF achieves the best Wasserstein distance on datasets exhibiting complex non-linear relationships, such as the Brazilian houses dataset and the SCF wealth imputation, where its ability to model flexible conditional distributions provides a clear advantage. Matching, by contrast, achieves the lowest Wasserstein distance on four of six benchmarking datasets and the best mean rank overall (1.67 vs.\ QRF's 1.83). This strong marginal distributional performance reflects Matching's core mechanism: by drawing imputed values directly from the donor pool, it inherently preserves the shape, skewness, and tail behavior of the original distribution, yielding low Wasserstein distances even when it may not optimally condition on predictor values. However, as the main SCF-CPS results demonstrate, Matching's distributional fidelity does not guarantee accurate conditional imputation. Households may receive plausible-looking wealth values that do not correctly reflect their individual characteristics. Thus, understanding the trade-offs between marginal and conditional accuracy, and evaluating how differences in survey design affect record matching becomes very important. Meanwhile, OLS performs competitively on datasets where the predictor-target relationship is approximately linear (e.g., abalone, space\_ga), highlighting that simpler parametric methods remain effective when their structural assumptions are met. MDN consistently ranks last across the benchmarking datasets, likely reflecting a combination of the relatively small sample sizes in these datasets and the hyperparameter sensitivity of neural network-based approaches, which require larger training sets to realize their flexibility advantage. These findings reinforce the value of \texttt{microimpute}'s automated method comparison framework: no single method dominates across all settings, and the optimal choice depends on dataset size, the complexity of the predictor-target relationship, and whether the research objective prioritizes conditional accuracy or marginal distributional fidelity. Researchers should leverage the package's comparison tools to empirically determine the best approach for their specific data rather than defaulting to any single method. -The predictor importance analysis (Appendix~\ref{app:robustness}) reveals a clear hierarchy among the variables shared between the SCF and CPS. Financial predictors---particularly interest and dividend income, employment income, and age---account for the vast majority of imputation accuracy, with interest and dividend income alone more than doubling the quantile loss when removed. Demographic variables such as race and gender contribute relatively little to imputation quality. This concentration of predictive power in financial variables has two practical implications. First, the quality of wealth imputation rests primarily on the availability and accuracy of income-related variables in both surveys; researchers lacking financial predictors would see substantially degraded results. Second, diminishing returns from additional demographic predictors suggest that a parsimonious set of well-chosen financial variables can achieve most of the attainable accuracy, as confirmed by the progressive inclusion analysis showing that the first three predictors capture the majority of achievable performance. +The predictor importance analysis (Appendix~\ref{app:robustness}) reveals a clear hierarchy among the variables shared between the SCF and CPS. Financial predictors, particularly interest and dividend income, employment income, and age, account for the vast majority of imputation accuracy, with interest and dividend income alone more than doubling the quantile loss when removed. Demographic variables such as race and gender contribute relatively little to imputation quality. This concentration of predictive power in financial variables has two practical implications. First, the quality of wealth imputation rests primarily on the availability and accuracy of income-related variables in both surveys; researchers lacking financial predictors would see substantially degraded results. Second, diminishing returns from additional demographic predictors suggest that a parsimonious set of well-chosen financial variables can achieve most of the attainable accuracy, as confirmed by the progressive inclusion analysis showing that the first three predictors capture the majority of achievable performance. Nonetheless, the inclusion of demographic variables still provides incremental improvements, and their contribution to capturing nuanced wealth variation should not be overlooked. + +\texttt{microimpute}'s support for predictor importance analysis and progressive inclusion experiments allows researchers to systematically assess which variables are driving imputation performance in their specific context, and to make informed decisions about variable selection when faced with data limitations. Together, these supplementary analyses contextualize the main results: QRF's strong performance in the SCF-CPS setting reflects the particular characteristics of the wealth imputation problem---a large donor dataset, highly non-linear relationships, and informative financial predictors available in both surveys. Researchers applying \texttt{microimpute} to other settings should expect method rankings to vary with dataset characteristics and should leverage the package's comparison tools accordingly. -\subsection{Limitations and future improvements} +\subsection{Limitations and future improvements}\label{sec:limitations} -Despite the demonstrated advantages, several limitations warrant consideration for future development: +Despite the demonstrated advantages, there remain limitations worth considering for future development: \subsubsection{Current package limitations} -While $\texttt{microimpute}$ currently supports four imputation methods, expanding to include modern machine learning approaches such as neural networks, gradient boosting machines, or deep learning architectures could further improve performance, particularly for complex multivariate relationships \citep{alaa2024deep}. The package would benefit from implementing ensemble methods that combine multiple imputation approaches, potentially leveraging the strengths of different methods across different parts of the distribution. Moreover, model selection and assessment could be enhanced with evaluation metrics additional to quantile loss, ensuring a thorough understanding of each model's behavior at every step. +While $\texttt{microimpute}$ currently supports five imputation methods, expanding to include additional modern machine learning approaches such as more complex neural networks, gradient boosting machines, or deep learning architectures could further improve performance, particularly for complex multivariate relationships \citep{alaa2024deep}. The package would benefit from implementing ensemble methods that combine multiple imputation approaches, potentially leveraging the strengths of different methods across different parts of the distribution. Moreover, model selection and assessment could be enhanced with evaluation metrics additional to quantile loss, ensuring a thorough understanding of each model's behavior at every step. \subsubsection{QRF-specific challenges} The terminal node sparsity issue identified in Section~\ref{sec:qrf_background} remains a fundamental limitation of tree-based methods. When few training samples reach certain terminal nodes, multiple observations in the recipient dataset may receive identical imputed values, potentially underestimating variability in extreme wealth categories. Future work could explore adaptive tree construction methods that ensure minimum node occupancy or hybrid approaches that combine QRF with parametric methods at distribution extremes. +\subsubsection{Missing data assumptions} + +All imputation methods in this study operate under the assumption that wealth is missing at random (MAR) conditional on the shared predictors $X$, as formalized in Section~\ref{sec:cia}. This assumption may be violated in practice: wealthy individuals may be less likely to participate in surveys or may underreport assets, introducing missing-not-at-random (MNAR) patterns that the conditioning variables cannot fully account for \citep{andridge2010review}. The predictor exclusion analysis in Appendix~\ref{app:robustness} provides a partial sensitivity check on the plausibility of the MAR assumption. The substantial degradation in imputation quality when financial predictors are removed, particularly the 116\% increase in quantile loss when interest and dividend income is excludeds, demonstrates that the conditioning set is doing meaningful work in explaining wealth variation, which is consistent with MAR plausibility. However, this analysis cannot rule out residual dependence on unobserved factors. More formal MNAR sensitivity analyses, such as pattern-mixture models or selection models applied to the imputation framework, represent an important direction for future work. Researchers applying \texttt{microimpute} to settings where nonresponse or selection effects are suspected should consider supplementary diagnostics to assess the sensitivity of their results to departures from MAR. + These enhancements would position $\texttt{microimpute}$ further as a comprehensive solution for survey data imputation challenges while maintaining its current strengths in ease of use and methodological rigor. \ No newline at end of file diff --git a/paper/sections/introduction.tex b/paper/sections/introduction.tex index 17d7b7c..2f0b3fb 100644 --- a/paper/sections/introduction.tex +++ b/paper/sections/introduction.tex @@ -1,10 +1,10 @@ \section{Introduction} -Statistical matching, also known as data fusion or full variable imputation, addresses the challenge of combining information from multiple data sources that share common variables but contain different samples of units \citep{dorazio2006statistical}, which is commonly found across fields in empirical research. In its simplest form, the problem involves a donor dataset containing variables $(X, Y)$ and a receiver dataset containing only $X$, where the goal is to impute values of $Y$ for observations in the receiver file based on their shared characteristics $X$ \citep{dorazio2021statistical}. This framework generalizes traditional missing data imputation by recognizing that ``missingness'' can arise not only from nonresponse within a single survey but also from the structural absence of variables across distinct data sources. +Statistical matching, also known as data fusion or full variable imputation, addresses the challenge of combining information from multiple data sources that share common variables but contain different samples of units \citep{dorazio2006statistical}, which is commonly found across fields in empirical research. In its simplest form, the problem involves a donor dataset containing both shared and unique variables and a receiver dataset containing only the shared variables, where the goal is to impute the missing variables for observations in the receiver file based on their shared characteristics \citep{dorazio2021statistical}. This framework generalizes traditional missing data imputation by recognizing that ``missingness'' can arise not only from nonresponse within a single survey but also from the structural absence of variables across distinct data sources. The relevance of statistical matching extends across the social sciences, particularly in microsimulation modeling where policy analysis requires combining detailed demographic information from one survey with economic variables from another \citep{bourguignon2006microsimulation}. For instance, household surveys may capture income and consumption patterns but lack wealth data, while financial surveys provide wealth information for different samples. Constructing synthetic files that combine these variables enables richer policy analysis than either source alone permits. -The methodological challenge lies in accurately modeling the conditional distribution $P(Y|X)$ from the donor data and using it to generate plausible values of $Y$ for receiver observations. Different approaches make different assumptions about this distribution. Parametric methods like Ordinary Least Squares assume linearity and homoscedasticity, which are often violated by economic variables exhibiting heavy tails and heterogeneous relationships across the distribution \citep{meinshausen2006quantile}. Nonparametric methods like hot deck matching avoid distributional assumptions but may struggle to capture complex multivariate relationships \citep{andridge2010review}. More recent machine learning approaches, including Quantile Random Forests and Mixture Density Networks, offer flexible alternatives that can model entire conditional distributions without restrictive parametric assumptions. +The central methodological challenge is accurately modeling the conditional distribution of the target variable given shared predictors, as different approaches make different assumptions about this relationship. Parametric methods may be too restrictive for economic variables exhibiting heavy tails and heteroscedasticity, while nonparametric and machine learning approaches offer greater flexibility at the cost of additional complexity \citep{meinshausen2006quantile, andridge2010review}. Section~2 reviews these trade-offs in detail. This paper presents the \texttt{microimpute} package, a Python library implementing five statistical matching methods: Hot Deck Matching, Ordinary Least Squares, Quantile Regression, Mixture Density Networks, and Quantile Random Forests. The package provides a comprehensive framework for comparing these methods through systematic benchmarking, with automated model selection based on quantile loss performance. We demonstrate the methodology through an application to wealth imputation, transferring net worth data from the Survey of Consumer Finances to the Current Population Survey. This task exemplifies the challenges of statistical matching for heavy-tailed distributions. @@ -12,7 +12,7 @@ \section{Introduction} \begin{itemize} \item An open-source implementation of a unified framework for five imputation methods, facilitating systematic comparison across methods and support statistical matching through accessible, user-friendly software \item An automated benchmarking pipeline that evaluates distributional accuracy using quantile loss, enabling researchers to select the most appropriate method for their specific data characteristics - \item Empirical evidence on the relative performance of these methods for wealth imputation, confirming the advantages of Quantile Random Forests for heavy-tailed distributions + \item Empirical evidence on the relative performance of these methods for wealth imputation, suggesting that Quantile Random Forests are well-suited to heavy-tailed distributions while highlighting the context-dependence of method choice \end{itemize} The remainder of this paper is organized as follows. Section 2 reviews the statistical matching problem, including its formal definition, the conditional independence assumption that underlies all matching methods, and the five imputation approaches implemented in \texttt{microimpute}. Section 3 describes our data sources. Section 4 presents the package architecture and benchmarking methodology. Section 5 reports empirical results from the wealth imputation application. Section 6 discusses implications and limitations, and Section 7 concludes. \ No newline at end of file diff --git a/paper/sections/methodology.tex b/paper/sections/methodology.tex index 13a02b7..30d684a 100644 --- a/paper/sections/methodology.tex +++ b/paper/sections/methodology.tex @@ -6,7 +6,7 @@ \subsection{$\texttt{microimpute}$ package implementation} \subsubsection{Core capabilities} -The package currently supports five primary imputation methods: Hot Deck Matching, Ordinary Least Squares Linear Regression (OLS), Quantile Regression, Quantile Regression Forests (QRF), and Mixture Density Networks (MDN). This approach allows researchers to systematically evaluate which technique provides the most accurate results for their specific dataset and research objectives. Additionally, the package is designed to be modular, allowing for easy extension with additional imputation methods in the future. +The package currently supports five imputation methods: Hot Deck Matching, Ordinary Least Squares Linear Regression (OLS), Quantile Regression, Quantile Random Forests (QRF), and Mixture Density Networks (MDN). This approach allows researchers to systematically evaluate which technique provides the most accurate results for their specific dataset and research objectives. Additionally, the package is designed to be modular, allowing for easy extension with additional imputation methods in the future. \subsubsection{Key features} @@ -29,7 +29,7 @@ \subsection{Evaluation framework} \mathcal{L}_\tau = \rho_\tau(y - \hat{Q}_\tau(y|x)) = (y - \hat{Q}_\tau(y|x)) \cdot (\tau - \mathbf{1}_{y < \hat{Q}_\tau(y|x)}) \end{equation} -Under-prediction of an upper-tail quantile is penalized at rate $\tau$, whereas over-prediction is penalized at rate $1 - \tau$. This asymmetric structure captures directional bias---a crucial feature when imputing highly skewed variables like wealth, where large under-estimates in the right tail must be discouraged more strongly than equal-sized over-estimates \citep{koenker1978regression}. Compared with mean-squared or mean-absolute error, which penalize errors symmetrically, quantile loss directly targets the conditional distribution and remains robust to outliers \citep{ghenis2018quantile}. Averaging over multiple quantiles $\tau \in \{0.1, 0.2, \ldots, 0.9\}$ provides a comprehensive measure of how well the method estimates the conditional distribution across its entire range. Lower average quantile loss indicates better distributional calibration. +Under-prediction of an upper-tail quantile is penalized at rate $\tau$, whereas over-prediction is penalized at rate $1 - \tau$. This asymmetric structure captures directional bias---a crucial feature when imputing highly skewed variables like wealth, where large under-estimates in the right tail must be discouraged more strongly than equal-sized over-estimates \citep{koenker1978regression}. Compared with mean-squared or mean-absolute error, which penalize errors symmetrically, quantile loss directly targets the conditional distribution and remains robust to outliers \citep{ghenis2018quantile}. Averaging over multiple quantiles $\tau \in \{0.1, 0.2, \ldots, 0.9\}$ provides a comprehensive measure of how well the method estimates the conditional distribution across its entire range. Lower average quantile loss indicates better distributional calibration. Because quantile loss is not scale-invariant, the absolute values reported in Section~5 reflect the scale transformation applied; we supplement raw values with relative improvement percentages to aid interpretability. As a complementary metric, we use the Wasserstein distance (also known as the earth mover's distance) to measure overall distributional similarity between imputed and reference distributions. Formally, for one-dimensional distributions $P$ and $Q$: \begin{equation} @@ -38,7 +38,7 @@ \subsection{Evaluation framework} where $F_P^{-1}$ and $F_Q^{-1}$ are the quantile functions. The Wasserstein distance captures the total ``work'' required to transform one distribution into another, making it sensitive to the magnitude of distributional differences. While quantile loss evaluates conditional predictions at specific quantiles, the Wasserstein distance provides a single summary measure of marginal distributional accuracy, which is particularly informative for heavy-tailed variables like wealth. -In addition to these quantitative metrics, we employ two visual assessment approaches. First, we compare the imputed wealth distributions against the weighted SCF donor distribution, which---given the SCF's household weights that account for survey representativeness---provides a reference for the true U.S. wealth distribution. Second, we evaluate the average imputed wealth by disposable income decile, assessing whether each method produces a plausible monotonically increasing wealth-income relationship consistent with economic expectations. +In addition to these quantitative metrics, we employ two visual assessment approaches. First, we compare the imputed wealth distributions against the weighted SCF donor distribution, which, given the SCF's household weights that account for survey representativeness, provides a reference for the true U.S. wealth distribution. Second, we evaluate the average imputed wealth by disposable income decile, assessing whether each method produces a plausible monotonically increasing wealth-income relationship consistent with economic expectations. \subsection{Experimental setup}\label{sec:experimental_setup} @@ -46,6 +46,8 @@ \subsection{Experimental setup}\label{sec:experimental_setup} Prior to model training, we apply an inverse hyperbolic sine (asinh) transformation to the net worth target variable. The asinh function, $\operatorname{asinh}(x) = \ln(x + \sqrt{x^2 + 1})$, approximates the natural logarithm for large positive values while remaining well-defined for zero and negative values. This is particularly important for wealth data, where a meaningful fraction of households report negative net worth (i.e., debts exceeding assets), making a standard logarithmic transformation infeasible. The transformation compresses the extreme right tail of the wealth distribution, stabilizing variance and improving model performance across all methods. After imputation, predictions are back-transformed via the inverse function $\sinh(\cdot)$ to recover values on the original dollar scale. +This experimental design implicitly assumes that wealth is missing at random (MAR) conditional on the shared predictors $X$---that is, the probability of observing wealth in the donor survey does not depend on wealth itself once we condition on the demographic and financial variables available in both datasets, as formalized in Section~\ref{sec:cia}. This assumption is standard in statistical matching but may be violated in practice: wealthy households may be less likely to participate in surveys or may underreport assets, creating MNAR-like patterns that the shared predictors cannot fully capture. We return to this limitation and discuss partial sensitivity checks in Section~\ref{sec:limitations}. + To create a ground truth for evaluation, we employ cross-validation, splitting the SCF into 5 folds. For each method, \texttt{autoimpute} performs the following steps: \begin{enumerate} diff --git a/paper/sections/results.tex b/paper/sections/results.tex index 20cd9f1..1082a77 100644 --- a/paper/sections/results.tex +++ b/paper/sections/results.tex @@ -4,9 +4,7 @@ \subsection{Imputation results} The cross-validation results demonstrate QRF's strong performance across the wealth distribution. With the asinh transformation applied to the net worth target variable, QRF achieved the lowest average quantile loss across all quantiles, outperforming OLS, Hot Deck Matching, Quantile Regression, and MDN. QRF's overall consistency across the entire distribution made it the best-performing method for wealth imputation in this setting. -The performance advantage was particularly pronounced in the middle portions of the distribution (10th--80th percentiles), where QRF maintained consistently lower quantile loss values. While Quantile Regression showed competitive performance at extreme quantiles (above the 85th percentile), QRF's broader consistency led to its selection as the optimal method. - -Microimpute's automated hyperparameter tuning via the Optuna framework contributed to these results. The optimal QRF configuration identified through cross-validation included 202 trees, a minimum of 1 sample per leaf, a split threshold of 5 samples, approximately 95\% of features considered at each split, and bootstrap sampling enabled. These parameters balanced model complexity with generalization capability, preventing overfitting while capturing the non-linear relationships between demographic predictors and wealth outcomes. +$\texttt{microimpute}$'s automated hyperparameter tuning via the Optuna framework contributed to these results. The optimal QRF configuration identified through cross-validation included 202 trees, a minimum of 1 sample per leaf, a split threshold of 5 samples, approximately 95\% of features considered at each split, and bootstrap sampling enabled. These parameters balanced model complexity with generalization capability, preventing overfitting while capturing the non-linear relationships between demographic predictors and wealth outcomes. \subsubsection{Quantile loss} @@ -19,10 +17,33 @@ \subsubsection{Quantile loss} \label{fig:quantile_loss_comparison} \end{figure} -We observe how QRF proves to be the best-performing model out of the five. It significantly outperforms Matching and OLS on average, while only being outperformed by QuantReg past the 80th quantile. Matching's performance presents the perfect opportunity to see the quantile loss's directional bias at work. Because Matching does not incorporate quantile information into its imputation process in any way, it will match donor and receiver units, and thus impute values identically regardless of the quantile at work. The laddering behavior observed above results from the fact that Matching's wealth imputations consistently underpredict relative to the true wealth values, and this property is increasingly favored for quantiles below the median, and increasingly penalized as quantiles approach the right end of the distribution. +We observe how QRF proves to be the best-performing model out of the five. It significantly outperforms Matching and OLS on average, while only being outperformed by QuantReg past the 80th quantile. The dashed lines in Figure~\ref{fig:quantile_loss_comparison} indicate each method's average quantile loss across all quantiles, clearly separating QRF and Matching from the remaining methods. Matching's performance presents the perfect opportunity to see the quantile loss's directional bias at work. Because Matching does not incorporate quantile information into its imputation process in any way, it will match donor and receiver units, and thus impute values identically regardless of the quantile at work. The laddering behavior observed above results from the fact that Matching's wealth imputations consistently underpredict relative to the true wealth values, and this property is increasingly favored for quantiles below the median, and increasingly penalized as quantiles approach the right end of the distribution. + +Table~\ref{tab:avg_quantile_loss} summarizes average quantile loss across all quantiles and cross-validation folds, with relative improvement computed against the worst-performing method (MDN) as a reference. + +\begin{table}[htbp] + \centering + \caption{Average quantile loss (asinh scale) across all quantiles and 5-fold cross-validation on the SCF test set. Relative improvement is computed as $(L_{\text{MDN}} - L_{\text{method}}) / L_{\text{MDN}} \times 100\%$.} + \label{tab:avg_quantile_loss} + \begin{tabular}{lrrr} + \toprule + Method & Avg Quantile Loss & Std & Improvement (\%) \\ + \midrule + QRF & 0.560 & 0.016 & 76.2 \\ + Matching & 0.601 & 0.018 & 74.4 \\ + OLS & 1.866 & 0.196 & 20.6 \\ + QuantReg & 2.104 & 0.241 & 10.4 \\ + MDN & 2.349 & 0.227 & --- \\ + \bottomrule + \end{tabular} +\end{table} + +QRF and Matching achieve substantially lower quantile loss than the remaining methods, with QRF reducing loss by 76.2\% and Matching by 74.4\% relative to MDN. The gap between these two leading methods is modest (0.560 vs.\ 0.601), while OLS, QuantReg, and MDN cluster at substantially higher loss values. \subsubsection{Imputed wealth distribution comparisons} +By visually comparing the wealth distributions resulting from imputing with each method, and comparing them to the weighted donor distribution, we gain a more comprehensive understanding of imputation performance, moving past the test quantile loss average measured on the SCF. The distribution of wealth values imputed by QRF closely resembles the original SCF distribution, suggesting that QRF is not only the best method in terms of quantile loss but also strong when achieving distributional estimates close to the true wealth distribution in the United States. Because Matching directly takes values from the donor distribution and imputes them onto the receiver, it is unsurprising that its distribution closely resembles the donor distribution. However, Matching may struggle to uncover the non-linear relationship between the different predictors and wealth values, resulting in a seemingly correct marginal distribution but inaccurate imputation given certain household characteristics. Meanwhile, OLS, QuantReg, and MDN fail to capture the variability across the distribution and impute most values at the lower or higher ends of the distribution. + \begin{figure}[htbp] \centering \includegraphics[width=\textwidth]{figures/models_dist_comparison.png} @@ -30,8 +51,6 @@ \subsubsection{Imputed wealth distribution comparisons} \label{fig:imputation_distributions_method_comparison} \end{figure} -By visually comparing the wealth distributions resulting from imputing with each method, and comparing them to the weighted donor distribution, we gain a more comprehensive understanding of imputation performance, moving past the test quantile loss average measured on the SCF. The distribution of wealth values imputed by QRF closely resembles the original SCF distribution, suggesting that QRF is not only the best method in terms of quantile loss but also strong when achieving distributional estimates close to the true wealth distribution in the United States. Because Matching directly takes values from the donor distribution and imputes them onto the receiver, it is unsurprising that its distribution closely resembles the donor distribution. However, Matching's performance in quantile loss confirms that even if it takes the exact values from the donor, it may struggle to uncover the non-linear relationship between the different predictors and wealth values, resulting in a seemingly correct data distribution but innacurate imputation given certain household characteristics. Meanwhile, OLS, QuantReg, and MDN fail to capture the variability across the distribution and impute most values at the lower or higher ends of the distribution. - \subsubsection{Wasserstein distance} Table~\ref{tab:wasserstein} reports the Wasserstein distance between each model's imputed wealth distribution and the weighted SCF donor distribution, providing a single scalar summary of marginal distributional accuracy. @@ -53,10 +72,12 @@ \subsubsection{Wasserstein distance} \end{tabular} \end{table} -QRF achieves the lowest Wasserstein distance (\$910,299), confirming that its imputed distribution most closely reproduces the donor wealth distribution. Matching follows at \$1.19 million, consistent with its mechanism of drawing values directly from the donor pool. OLS produces a substantially larger distance (\$68.0 million), reflecting its compressed predictions that fail to span the full range of the wealth distribution. QuantReg and MDN exhibit Wasserstein distances several orders of magnitude larger, indicating severe distributional mismatch. These methods concentrate imputed values in narrow regions, producing distributions far from the heavy-tailed shape of the true wealth distribution, resulting in such high Wasserstein distance values. +QRF achieves the lowest Wasserstein distance (\$910,299), confirming that its imputed distribution most closely reproduces the donor wealth distribution. To contextualize this magnitude, the 2022 SCF reports a median U.S. household net worth of approximately \$192,700 \citep{fed2023scf}; QRF's Wasserstein distance thus represents roughly 4.7 median household net worths of cumulative distributional displacement, which is small relative to the full range of the wealth distribution but non-trivial in absolute terms. Matching follows at \$1.19 million, consistent with its mechanism of drawing values directly from the donor pool. OLS produces a substantially larger distance (\$68.0 million), reflecting its compressed predictions that fail to span the full range of the wealth distribution. QuantReg and MDN exhibit Wasserstein distances several orders of magnitude larger, indicating severe distributional mismatch driven by concentrated imputed values in narrow regions. \subsubsection{Distribution of wealth by disposable income decile} +Beyond the statistical metrics reported above, we perform a plausibility check by examining whether imputed wealth exhibits economically expected relationships with observable variables. Household wealth should increase monotonically with disposable income, reflecting the well-documented positive correlation between income and wealth accumulation. This check is particularly important for wealth imputation: a method that achieves competitive quantile loss but produces wealth-income patterns that violate basic economic relationships would be unreliable for downstream policy analysis, where the joint distribution of income and wealth drives eligibility and benefit calculations. + \begin{figure}[htbp] \centering \includegraphics[width=\textwidth]{figures/models_median_decile_comparison.png} @@ -64,7 +85,7 @@ \subsubsection{Distribution of wealth by disposable income decile} \label{fig:imputation_comparison_by_income_decile} \end{figure} -These results support the observations above, with QRF presenting the most consistent and plausible relationship to disposable income, with a gradually increasing average as the deciles increase. This plot also demonstrates the caveats of the other models, for example showing the lower variability in OLS's predictions, and Matching's consistent underprediction across deciles. +These results support the observations above, with QRF presenting the most consistent and plausible relationship to disposable income, with a monotonically increasing average wealth as deciles increase---a pattern consistent with economic expectations and serving as a plausibility check on the imputation. This plot also demonstrates the caveats of the other models, for example showing the lower variability in OLS's predictions, and Matching's consistent underprediction across deciles. \subsection{Policy validation: SSI simulation} @@ -90,9 +111,11 @@ \subsection{Policy validation: SSI simulation} \end{tabular} \end{table} -Without imputed wealth data, the baseline scenario---where \texttt{ssi\_countable\_resources} defaults to zero for all CPS households---produces 19.8 million recipients and \$152.6 billion in expenditure (267.2\% of administrative totals), substantially overestimating SSI program size. All five imputation methods dramatically reduce this overestimation by screening out households whose imputed wealth exceeds the resource limits. Quantile Regression yields the closest estimates to administrative totals among the imputation methods (111.7\% of admin recipients), followed by MDN (140.0\%). QRF, despite achieving the lowest quantile loss in the cross-validation evaluation, produces higher SSI estimates (163.3\%) than QuantReg or MDN in this policy validation, though still far closer to administrative totals than the baseline. +Without imputed wealth data, the baseline scenario, where \texttt{ssi\_countable\_resources} defaults to zero for all CPS households, produces 19.8 million recipients and \$152.6 billion in expenditure (267.2\% of administrative totals), substantially overestimating SSI program size. All five imputation methods substantially reduce this overestimation by screening out households whose imputed wealth exceeds the resource limits. Quantile Regression yields the closest estimates to administrative totals among the imputation methods (111.7\% of admin recipients), followed by MDN (140.0\%). QRF, despite achieving the lowest quantile loss in the cross-validation evaluation, produces higher SSI estimates (163.3\%) than QuantReg or MDN in this policy validation, though still far closer to administrative totals than the baseline. + +The divergence between statistical and policy performance merits further explanation. QRF, despite achieving the best quantile loss, produces higher SSI estimates than QuantReg (163.3\% vs.\ 111.7\%). This apparent paradox reflects the interaction between imputation accuracy and the policy function. QRF faithfully reproduces the conditional distribution of wealth, including the substantial mass of near-zero wealth values in the SCF; when mapped through the SSI resource test, these near-zero imputations place more households just below the eligibility threshold. QuantReg's linear compression of the wealth distribution, while statistically less accurate, may push more values above the threshold, coincidentally producing estimates closer to administrative totals. This underscores that proximity to administrative totals depends on both imputation quality and the specific policy function, and should not be treated as a standalone measure of imputation accuracy. -The remaining overestimation across all imputation methods warrants noting. The imputed variable is SCF net worth, which includes assets such as primary residence and vehicles that are excluded from SSI countable resources under program rules. Using total net worth as a proxy for countable resources therefore does not precisely replicate the SSI resource test, and will tend to disqualify fewer households than a measure limited to countable resources would. +The remaining overestimation across all imputation methods also requires additional contex. The imputed variable is SCF net worth, which includes assets such as primary residence and vehicles that are excluded from SSI countable resources under program rules. Using total net worth as a proxy for countable resources therefore does not precisely replicate the SSI resource test, and will tend to disqualify fewer households than a measure limited to countable resources would. \begin{figure}[htbp] \centering From dd534e0349a493a6caa602ab14a119da0fe14063 Mon Sep 17 00:00:00 2001 From: juaristi22 Date: Sun, 22 Feb 2026 18:11:12 +0530 Subject: [PATCH 5/5] final changes to SSI reform --- changelog_entry.yaml | 1 + paper/bibliography/references.bib | 8 + paper/figures/models_dist_comparison.png | Bin 120806 -> 121172 bytes paper/figures/models_loss_benchmark.png | Bin 73346 -> 71417 bytes .../models_median_decile_comparison.png | Bin 52674 -> 52650 bytes paper/figures/models_ssi_comparison.png | Bin 59115 -> 58499 bytes .../figures/models_ssi_reform_comparison.png | Bin 0 -> 202283 bytes paper/imputing-from-scf-to-cps.ipynb | 109463 ++++++++------- paper/main.pdf | Bin 478257 -> 547662 bytes paper/main.tex | 1 + paper/sections/abstract.tex | 2 +- paper/sections/background.tex | 4 +- paper/sections/conclusion.tex | 2 +- paper/sections/discussion.tex | 10 +- paper/sections/introduction.tex | 1 + paper/sections/methodology.tex | 12 +- paper/sections/results.tex | 61 +- paper/ssi_policy_overview.md | 389 + 18 files changed, 55929 insertions(+), 54025 deletions(-) create mode 100644 paper/figures/models_ssi_reform_comparison.png create mode 100644 paper/ssi_policy_overview.md diff --git a/changelog_entry.yaml b/changelog_entry.yaml index fbef931..6c25ea3 100644 --- a/changelog_entry.yaml +++ b/changelog_entry.yaml @@ -2,3 +2,4 @@ changes: changed: - imputing-from-scf-to-cps.ipynb to test SSI policy reforms with different wealth imputations. + - updated paper/ and main.pdf to capture the new results and discussion from the notebook as well as general improvements in content and presentation. diff --git a/paper/bibliography/references.bib b/paper/bibliography/references.bib index e34d2f8..93e70d5 100644 --- a/paper/bibliography/references.bib +++ b/paper/bibliography/references.bib @@ -574,6 +574,14 @@ @techreport{ssa2024ssi url = {https://www.ssa.gov/policy/docs/statcomps/ssi_asr/} } +@misc{ssi_spea_2025, + title = {{SSI} Savings Penalty Elimination Act}, + author = {{119th United States Congress}}, + year = {2025}, + note = {S. 1234 / H.R. 2540, introduced April 1, 2025}, + url = {https://www.congress.gov/bill/119th-congress/senate-bill/1234} +} + @misc{policyengine_us, title = {PolicyEngine {US}}, author = {{PolicyEngine}}, diff --git a/paper/figures/models_dist_comparison.png b/paper/figures/models_dist_comparison.png index 39a466fff7aadcb8e21d572d54c1657bbc0f5cac..747de688822024d4179e36f3f02075ef61008e45 100644 GIT binary patch literal 121172 zcmaHT1yogC^FG}r-5`x1AT8b9-6192(k&qp(k0!EbfW0IWqvfL&TkrLi;k2X5fn_nEmgtRSdx054{8555@iW z{{66j;ft)mV@r;a^FRpHe~ZLT0z9dpNsayE3b6|2-!ftN0wVQ{M!b=ft z$P_o`_h;lTP?yyInR*Lg(w7OW0$BgBeIpxWV&s3GwV?p+(#WBR{W;+yGX736e=Uwi 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- "execution_count": null, + "execution_count": 2, "id": "ba8f2eec", "metadata": {}, "outputs": [ @@ -69,7 +69,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 1/1 [00:03<00:00, 3.82s/it]\n" + "100%|██████████| 1/1 [00:03<00:00, 3.70s/it]\n" ] }, { @@ -285,7 +285,7 @@ "predictors = [\n", " \"is_female\",\n", " \"age\",\n", - " #\"own_children_in_household\",\n", + " \"own_children_in_household\",\n", " \"race\",\n", " \"employment_income\",\n", " \"interest_dividend_income\",\n", @@ -23522,94634 +23522,26505 @@ "opacity": 0.7, "type": "histogram", "x": [ - 4.835156289013471, - 4.524640545360629, - 5.849915288765098, - 5.222513153075087, - 3.8869041432633336, - -5.161915565213897, - 6.00662089918898, - 6.1550074552903284, - 5.817964751927343, + 4.919556015501942, + 4.794801185092411, + 2.779456138815369, + 6.599461598823524, + -4.449929856930385, + 4.884517903842972, + 4.280058489384555, + 5.634826497977709, + 5.119865461387742, + 6.102762529190502, + 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"text": "SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)" - }, - "width": 750, - "xaxis": { - "linecolor": "#CCCCCC", - "showgrid": false, - "showline": true, - "ticktext": [ - "-$1,000,000", - "-$10,000", - "-$100", - "$1", - "$100", - "$10,000", - "$1,000,000", - "$100,000,000", - "$10,000,000,000" - ], - "tickvals": [ - -6, - -4, - -2, - 0, - 2, - 4, - 6, - 8, - 10 - ], - "title": { - "text": "Net Worth (log10 scale)" - } - }, - "yaxis": { - "gridcolor": "#E5E5E5", - "gridwidth": 1, - "linecolor": "#CCCCCC", - "showgrid": true, - "showline": true, - "title": { - "text": "Percentage" - } - } - } - } - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "weights_col = scf_data[\"wgt\"].values\n", - "weights_normalized = weights_col / weights_col.sum()\n", - "scf_data_weighted = scf_data.sample(\n", - " n=len(scf_data),\n", - " replace=True,\n", - " weights=weights_normalized,\n", - ").reset_index(drop=True)\n", - "\n", - "\n", - "# Create a combined plot comparing weighted and unweighted SCF distributions\n", - "def safe_log10(x):\n", - " \"\"\"Apply log10 to absolute values, preserving sign.\"\"\"\n", - " sign = np.sign(x)\n", - " log_x = np.log10(np.maximum(np.abs(x), 1e-10))\n", - " return sign * log_x\n", - "\n", - "\n", - "# Apply safe log transformation to both datasets\n", - "scf_log = safe_log10(scf_data[\"networth\"])\n", - "scf_weighted_log = safe_log10(scf_data_weighted[\"networth\"])\n", - "\n", - "colors = PLOT_CONFIG[\"color_palette\"]\n", - "\n", - "# Create the figure\n", - "fig = go.Figure()\n", - "\n", - "# Add unweighted SCF histogram\n", - "fig.add_trace(\n", - " go.Histogram(\n", - " x=scf_log,\n", - " nbinsx=200,\n", - " opacity=0.7,\n", - " name=\"SCF Unweighted\",\n", - " marker_color=colors[0],\n", - " histnorm=\"percent\",\n", - " )\n", - ")\n", - "\n", - "# Add weighted SCF histogram\n", - "fig.add_trace(\n", - " go.Histogram(\n", - " x=scf_weighted_log,\n", - " nbinsx=200,\n", - " opacity=0.7,\n", - " name=\"SCF Weighted (through sampling)\",\n", - " marker_color=colors[1],\n", - " histnorm=\"percent\",\n", - " )\n", - ")\n", - "\n", - "# Calculate statistics for both distributions\n", - "unweighted_median = np.median(scf_log)\n", - "weighted_median = np.median(scf_weighted_log)\n", - "unweighted_mean = np.mean(scf_log)\n", - "weighted_mean = np.mean(scf_weighted_log)\n", - "\n", - "# Add median lines\n", - "fig.add_trace(\n", - " go.Scatter(\n", - " x=[unweighted_median, unweighted_median],\n", - " y=[0, 8],\n", - " mode=\"lines\",\n", - " line=dict(color=colors[0], width=2, dash=\"dash\"),\n", - " name=f\"Unweighted Median: ${10**unweighted_median:,.0f}\",\n", - " )\n", - ")\n", - "\n", - "fig.add_trace(\n", - " go.Scatter(\n", - " x=[weighted_median, weighted_median],\n", - " y=[0, 8],\n", - " mode=\"lines\",\n", - " line=dict(color=colors[1], width=2, dash=\"dash\"),\n", - " name=f\"Weighted Median: ${10**weighted_median:,.0f}\",\n", - " )\n", - ")\n", - "\n", - "# Update layout\n", - "fig.update_layout(\n", - " title=\"SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)\",\n", - " width=PLOT_CONFIG[\"width\"],\n", - " height=PLOT_CONFIG[\"height\"],\n", - " barmode=\"overlay\",\n", - " bargap=0.1,\n", - " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", - " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", - " legend=dict(\n", - " x=0.01,\n", - " y=0.99,\n", - " bgcolor=\"rgba(255,255,255,0.8)\",\n", - " bordercolor=\"rgba(0,0,0,0.3)\",\n", - " borderwidth=1,\n", - " orientation=\"v\",\n", - " xanchor=\"left\",\n", - " yanchor=\"top\",\n", - " ),\n", - ")\n", - "\n", - "# Custom tick formatting for x-axis\n", - "tick_values = [-6, -4, -2, 0, 2, 4, 6, 8, 10]\n", - "tick_labels = []\n", - "for x in tick_values:\n", - " if x >= 0:\n", - " tick_labels.append(f\"${10**x:,.0f}\")\n", - " else:\n", - " tick_labels.append(f\"-${10**abs(x):,.0f}\")\n", - "\n", - "fig.update_xaxes(\n", - " tickvals=tick_values,\n", - " ticktext=tick_labels,\n", - " title_text=\"Net Worth (log10 scale)\",\n", - " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", - " showline=PLOT_CONFIG[\"showline\"],\n", - " linecolor=PLOT_CONFIG[\"linecolor\"],\n", - ")\n", - "fig.update_yaxes(\n", - " title_text=\"Percentage\",\n", - " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", - " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", - " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", - " showline=PLOT_CONFIG[\"showline\"],\n", - " linecolor=PLOT_CONFIG[\"linecolor\"],\n", - ")\n", - "\n", - "# Add annotations with statistics\n", - "fig.add_annotation(\n", - " x=0.98,\n", - " y=0.95,\n", - " xref=\"paper\",\n", - " yref=\"paper\",\n", - " text=(\n", - " f\"Unweighted:
\"\n", - " f\"Median: ${10**unweighted_median:,.0f}
\"\n", - " f\"Mean: ${10**unweighted_mean:,.0f}

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"linecolor": "white", - "ticks": "" - }, - "baxis": { - "gridcolor": "white", - "linecolor": "white", - "ticks": "" - }, - "bgcolor": "#E5ECF6", - "caxis": { - "gridcolor": "white", - "linecolor": "white", - "ticks": "" - } - }, - "title": { - "x": 0.05 - }, - "xaxis": { - "automargin": true, - "gridcolor": "white", - "linecolor": "white", - "ticks": "", - "title": { - "standoff": 15 - }, - "zerolinecolor": "white", - "zerolinewidth": 2 - }, - "yaxis": { - "automargin": true, - "gridcolor": "white", - "linecolor": "white", - "ticks": "", - "title": { - "standoff": 15 - }, - "zerolinecolor": "white", - "zerolinewidth": 2 - } - } - }, - "title": { - "font": { - "size": 14 - }, - "text": "Autoimpute method comparison" - }, - "width": 750, - "xaxis": { - "anchor": "y", - "domain": [ - 0, - 1 - ], - "gridcolor": "#E5E5E5", - "gridwidth": 1, - "linecolor": "#CCCCCC", - "showgrid": false, - "showline": true, - "title": { - "font": { - "size": 12 - }, - "text": "Quantiles" - }, - "zeroline": false - }, - "yaxis": { - "anchor": "x", - "domain": [ - 0, - 1 - ], - "gridcolor": "#E5E5E5", - "gridwidth": 1, - "linecolor": "#CCCCCC", - "showgrid": true, - "showline": true, - "title": { - "font": { - "size": 12 - }, - "text": "Quantile loss" - }, - "zeroline": false - } - } - } - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from microimpute.visualizations.comparison_plots import method_comparison_results\n", - "\n", - "comparison_viz = method_comparison_results(\n", - " data=autoimpute_results.cv_results,\n", - " metric=\"quantile_loss\",\n", - " data_format=\"wide\",\n", - ")\n", - "fig = comparison_viz.plot(\n", - " title=\"Autoimpute method comparison\",\n", - " show_mean=True,\n", - ")\n", - "fig.show()" - ] - }, - { - "cell_type": "markdown", - "id": "7e92e41c", - "metadata": {}, - "source": [ - "## Evaluating predictors' influence on the imputation results\n", - "\n", - "To understand the relationship between the variables we have selected as predictors and the imputation results obtained, we can assess correlation between predictors, and the sensitivity that our results demonstrate to a different number or sequence of predictors used." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "8ee36de3", - "metadata": {}, - "outputs": [], - "source": [ - "from microimpute.evaluations.predictor_analysis import compute_predictor_correlations\n", - "\n", - "correlations = compute_predictor_correlations(scf_data, predictors, imputed_variables)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "7a6a13b6", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "