diff --git a/changelog_entry.yaml b/changelog_entry.yaml index e69de29..6c25ea3 100644 --- a/changelog_entry.yaml +++ b/changelog_entry.yaml @@ -0,0 +1,5 @@ +- bump: patch + 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/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 096e18c..fe78e68 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 @@ -182,7 +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 @@ -360,7 +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 @@ -777,7 +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", @@ -1191,6 +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) @@ -1327,6 +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/paper/bibliography/references.bib b/paper/bibliography/references.bib index 6b0b7ab..93e70d5 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 +557,63 @@ @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{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}}, + 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} +} + +@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/figures/models_dist_comparison.png b/paper/figures/models_dist_comparison.png new file mode 100644 index 0000000..747de68 Binary files /dev/null and b/paper/figures/models_dist_comparison.png differ diff --git a/paper/figures/models_loss_benchmark.png b/paper/figures/models_loss_benchmark.png new file mode 100644 index 0000000..514332b Binary files /dev/null and b/paper/figures/models_loss_benchmark.png differ diff --git a/paper/figures/models_median_decile_comparison.png b/paper/figures/models_median_decile_comparison.png new file mode 100644 index 0000000..6d1fd9b Binary files /dev/null and b/paper/figures/models_median_decile_comparison.png differ diff --git a/paper/figures/models_ssi_comparison.png b/paper/figures/models_ssi_comparison.png new file mode 100644 index 0000000..8040113 Binary files /dev/null and b/paper/figures/models_ssi_comparison.png differ diff --git a/paper/figures/models_ssi_reform_comparison.png b/paper/figures/models_ssi_reform_comparison.png new file mode 100644 index 0000000..357c613 Binary files /dev/null and b/paper/figures/models_ssi_reform_comparison.png differ diff --git a/paper/imputing-from-scf-to-cps.ipynb b/paper/imputing-from-scf-to-cps.ipynb index fc2a827..d514dae 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", @@ -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, 3.07s/it]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPI uprating factor (2022 -> 2024): 1.0558 (5.6%)\n" ] } ], @@ -277,7 +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", @@ -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)" ] }, { @@ -483,7 +514,7 @@ }, { "cell_type": "code", - 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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": [ @@ -47356,10 +47387,13 @@ } }, "title": { - "text": "SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)" + "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", @@ -47383,10 +47417,15 @@ 10 ], "title": { - "text": "Net Worth (log10 scale)" + "text": "Net worth (log10 scale)" } }, "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", @@ -47469,22 +47510,20 @@ " 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: ${10**weighted_median:,.0f}\",\n", " )\n", ")\n", "\n", "# Update layout\n", "fig.update_layout(\n", - " title=\"SCF Net Worth Distribution: Weighted vs Unweighted (Log Scale)\",\n", - " xaxis_title=\"Net Worth (log10 scale)\",\n", - " yaxis_title=\"Percentage\",\n", - " height=600,\n", - " width=900,\n", + " title=\"SCF net worth distribution: weighted vs unweighted (log scale)\",\n", + " width=PLOT_CONFIG[\"width\"],\n", + " height=PLOT_CONFIG[\"height\"],\n", " barmode=\"overlay\",\n", " bargap=0.1,\n", - " paper_bgcolor=\"#F0F0F0\",\n", - " plot_bgcolor=\"#F0F0F0\",\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", " legend=dict(\n", " x=0.01,\n", " y=0.99,\n", @@ -47506,7 +47545,22 @@ " else:\n", " tick_labels.append(f\"-${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 +47612,50 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "c7a96f83", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "f7e58c15b9bd43b3b869fe332cb5f833", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Evaluating models: 0%| | 0/5 [00:00Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.022456504064634956, + 0.0127921723842902, + 0.018123686039833317, + 0.013748875767821123, + 0.019055124107031283, + 0.025696473980543134, + 0.01924866930591882, + 0.02482384317981785, + 0.025474641667659437, + 0.02192632278197827, + 0.026021624134663326, + 0.0075995165668755445, + 0.01659715507177827, + 0.013329211243174837, + 0.008088085625984825, + 0.008593415517120995, + 0.008912900334649287, + 0.01174317545875833, + 0.00849114481934695 + ] + }, + "hovertemplate": "Method=QRF
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "QRF", "marker": { - "color": "#636EFA", + "color": "#88CCEE", "pattern": { "shape": "" } @@ -47647,34 +47763,57 @@ ], "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 + 0.3179185739149678, + 0.4447422266574555, + 0.5389625970639788, + 0.6158778766469072, + 0.6880901307324296, + 0.7148145048132559, + 0.7498726301598726, + 0.7592146411334015, + 0.7518520570888818, + 0.726017270978622, + 0.7076690575362796, + 0.6539189523858882, + 0.5979605601168558, + 0.5723123665009643, + 0.5027331392948373, + 0.4321647183856857, + 0.37147175704930535, + 0.290783068556666, + 0.20292734156347564 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=OLS
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.36640189764138636, + 0.3506716163976202, + 0.3316461815006992, + 0.31174603919989097, + 0.29185156065606505, + 0.2721368789788306, + 0.2527163808589779, + 0.23291548415990318, + 0.21292055848980854, + 0.1916979837107699, + 0.1701911399010428, + 0.15060008534169392, + 0.13288352010377907, + 0.11588432440669257, + 0.10012348713372056, + 0.0857120139374948, + 0.07026633589915003, + 0.05129549450410903, + 0.02726268795952692 + ] + }, + "hovertemplate": "Method=OLS
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "OLS", "marker": { - "color": "#EF553B", + "color": "#CC6677", "pattern": { "shape": "" } @@ -47708,34 +47847,57 @@ ], "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 + 1.653384760530161, + 2.097950956545248, + 2.3767483805524336, + 2.5492442947479117, + 2.6392335464331365, + 2.6590881161239968, + 2.618326570448299, + 2.521379781199025, + 2.3778096851385415, + 2.2003918481393225, + 2.0029610485677543, + 1.805528683938348, + 1.6224419186227763, + 1.4629156033632245, + 1.3217064821208315, + 1.1833917365403102, + 1.023224918973926, + 0.8142547456231192, + 0.5154865267984657 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=QuantReg
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.17677483861165888, + 0.22282434768405687, + 0.16176361423792673, + 0.23831380034757152, + 0.21494482556586733, + 0.2804304797139823, + 0.2685094170370646, + 0.414277426028729, + 0.3546966921813161, + 0.37332303306761533, + 0.356330809811131, + 0.2505759392283411, + 0.20236976749251676, + 0.24042738781697762, + 0.2659484489343179, + 0.24094675627154183, + 0.1445468264663141, + 0.09909786566049328, + 0.06453366282822438 + ] + }, + "hovertemplate": "Method=QuantReg
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "QuantReg", "marker": { - "color": "#00CC96", + "color": "#DDCC77", "pattern": { "shape": "" } @@ -47769,34 +47931,57 @@ ], "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 + 1.5473262578647795, + 1.845813609284702, + 2.315764808557057, + 2.419160404362059, + 2.4896562026223976, + 2.5230821433035517, + 2.6903248044880193, + 2.5278325081741593, + 2.5453607223826453, + 2.5136277942150946, + 2.568381765731581, + 2.4035353488825977, + 2.2983093410104147, + 2.179685106445177, + 2.075129630823423, + 1.8251006160501273, + 1.493100418484074, + 1.0734758403637599, + 0.6409964323769163 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=Matching
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.010629525906283518, + 0.00987431513535523, + 0.009256472382105451, + 0.00880496256082206, + 0.00854618942001061, + 0.008497778808391301, + 0.008663257985216093, + 0.009030876830568562, + 0.00957738674732371, + 0.010274280541972077, + 0.011093252344146093, + 0.012009352924078868, + 0.013002067947356855, + 0.014055172973987475, + 0.015156084814956535, + 0.016295116743246293, + 0.01746481192576428, + 0.018659404725152224, + 0.019874406078174308 + ] + }, + "hovertemplate": "Method=Matching
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "Matching", "marker": { - "color": "#AB63FA", + "color": "#117733", "pattern": { "shape": "" } @@ -47830,34 +48015,57 @@ ], "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 + 0.49944351036232637, + 0.510441953585877, + 0.5214403968094274, + 0.532438840032978, + 0.5434372832565286, + 0.5544357264800791, + 0.5654341697036297, + 0.5764326129271802, + 0.5874310561507307, + 0.5984294993742812, + 0.6094279425978317, + 0.6204263858213824, + 0.6314248290449329, + 0.6424232722684834, + 0.6534217154920338, + 0.6644201587155845, + 0.675418601939135, + 0.6864170451626854, + 0.6974154883862361 ], "yaxis": "y" }, { "alignmentgroup": "True", - "hovertemplate": "Method=MDN
Quantiles=%{x}
Test Quantile loss=%{y}", + "error_y": { + "array": [ + 0.3658447043279063, + 0.36075980375886785, + 0.3495355400148628, + 0.34356053303035977, + 0.31631123977468867, + 0.2939904322162124, + 0.26946662102823715, + 0.2510545814588057, + 0.23358866326780825, + 0.2167443703092053, + 0.20037554737846516, + 0.18310035328485164, + 0.15714227500513644, + 0.13941840791493262, + 0.1185515538217377, + 0.0999524013285133, + 0.07832337541805975, + 0.053099018136740124, + 0.030508562679399633 + ] + }, + "hovertemplate": "Method=MDN
Quantiles=%{x}
Quantile loss=%{y}", "legendgroup": "MDN", "marker": { - "color": "#FFA15A", + "color": "#332288", "pattern": { "shape": "" } @@ -47891,25 +48099,25 @@ ], "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 + 2.7900699297711133, + 3.1162729776491918, + 3.253480915633962, + 3.2871453167887723, + 3.269472543233115, + 3.2104412378048366, + 3.117522757618176, + 2.9945104366758137, + 2.844936958732362, + 2.6749908166664804, + 2.4866264941775786, + 2.2928426661963845, + 2.0742968234602968, + 1.843024784235416, + 1.5960042202227183, + 1.3311791707871576, + 1.0520775321051636, + 0.7492732526223268, + 0.4206034708362448 ], "yaxis": "y" } @@ -47923,12 +48131,12 @@ }, "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 +48144,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 0.5755978244266174, - "y1": 0.5755978244266174 + "y0": 0.5599633405568278, + "y1": 0.5599633405568278 }, { "line": { - "color": "#EF553B", + "color": "#CC6677", "dash": "dot", "width": 2 }, @@ -47949,12 +48157,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 1.8629254440134526, - "y1": 1.8629254440134526 + "y0": 1.8655510318108859, + "y1": 1.8655510318108859 }, { "line": { - "color": "#00CC96", + "color": "#DDCC77", "dash": "dot", "width": 2 }, @@ -47962,12 +48170,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 2.1144193924344195, - "y1": 2.1144193924344195 + "y0": 2.103982302916976, + "y1": 2.103982302916976 }, { "line": { - "color": "#AB63FA", + "color": "#117733", "dash": "dot", "width": 2 }, @@ -47975,12 +48183,12 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 0.7922066989411128, - "y1": 0.7922066989411128 + "y0": 0.5984294993742812, + "y1": 0.5984294993742812 }, { "line": { - "color": "#FFA15A", + "color": "#332288", "dash": "dot", "width": 2 }, @@ -47988,8 +48196,8 @@ "type": "line", "x0": -0.5, "x1": 18.5, - "y0": 1.8559185788967631, - "y1": 1.8559185788967631 + "y0": 2.3370932792219534, + "y1": 2.3370932792219534 } ], "template": { @@ -48821,7 +49029,11 @@ 0, 1 ], + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", "showgrid": false, + "showline": true, "title": { "font": { "size": 12 @@ -48836,12 +49048,16 @@ 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 +49073,7 @@ "\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", @@ -48918,6 +49134,7 @@ " \n", " is_female\n", " age\n", + " own_children_in_household\n", " race\n", " employment_income\n", " interest_dividend_income\n", @@ -48929,6 +49146,7 @@ " is_female\n", " 1.000000\n", " -0.018881\n", + " -0.063568\n", " 0.057994\n", " -0.085917\n", " -0.037146\n", @@ -48938,15 +49156,27 @@ " age\n", " -0.018881\n", " 1.000000\n", + " -0.327560\n", " -0.204776\n", " 0.018204\n", " 0.093807\n", " 0.283672\n", " \n", " \n", - " race\n", - " 0.057994\n", + " own_children_in_household\n", + " -0.063568\n", + " -0.327560\n", + " 1.000000\n", + " 0.155980\n", + " 0.013922\n", + " -0.040177\n", + " -0.130564\n", + " \n", + " \n", + " race\n", + " 0.057994\n", " -0.204776\n", + " 0.155980\n", " 1.000000\n", " -0.046325\n", " -0.036117\n", @@ -48956,6 +49186,7 @@ " employment_income\n", " -0.085917\n", " 0.018204\n", + " 0.013922\n", " -0.046325\n", " 1.000000\n", " 0.056797\n", @@ -48965,6 +49196,7 @@ " interest_dividend_income\n", " -0.037146\n", " 0.093807\n", + " -0.040177\n", " -0.036117\n", " 0.056797\n", " 1.000000\n", @@ -48974,6 +49206,7 @@ " pension_income\n", " -0.055694\n", " 0.283672\n", + " -0.130564\n", " -0.111804\n", " 0.040700\n", " 0.121772\n", @@ -48984,21 +49217,32 @@ "" ], "text/plain": [ - " is_female age race employment_income \\\n", - "is_female 1.000000 -0.018881 0.057994 -0.085917 \n", - "age -0.018881 1.000000 -0.204776 0.018204 \n", - "race 0.057994 -0.204776 1.000000 -0.046325 \n", - "employment_income -0.085917 0.018204 -0.046325 1.000000 \n", - "interest_dividend_income -0.037146 0.093807 -0.036117 0.056797 \n", - "pension_income -0.055694 0.283672 -0.111804 0.040700 \n", + " 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", - "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 " + " 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, @@ -49047,7 +49291,11 @@ " \n", " \n", " age\n", - " 0.119553\n", + " 0.119559\n", + " \n", + " \n", + " own_children_in_household\n", + " 0.022649\n", " \n", " \n", " race\n", @@ -49070,13 +49318,14 @@ "" ], "text/plain": [ - " networth\n", - "is_female 0.014095\n", - "age 0.119553\n", - "race 0.027996\n", - "employment_income 0.121915\n", - "interest_dividend_income 0.085286\n", - "pension_income 0.059902" + " networth\n", + "is_female 0.014095\n", + "age 0.119559\n", + "own_children_in_household 0.022649\n", + "race 0.027996\n", + "employment_income 0.121915\n", + "interest_dividend_income 0.085286\n", + "pension_income 0.059902" ] }, "execution_count": 11, @@ -49097,12 +49346,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "8ca0aa0873004ee9b4e5404e1e398b15", + "model_id": "d103a104d35740df9fdc5a69bf715eb2", "version_major": 2, "version_minor": 0 }, "text/plain": [ - "Leave-one-out analysis: 0%| | 0/6 [00:00\n", " \n", " \n", - " 4\n", + " 5\n", " interest_dividend_income\n", - " 3.413499e+06\n", + " 3.240984e+06\n", " 0\n", - " 1.865978e+06\n", - " 120.578572\n", - " 1.547521e+06\n", + " 1.668592e+06\n", + " 106.118060\n", + " 1.572392e+06\n", " 0\n", " \n", " \n", - " 3\n", + " 4\n", " employment_income\n", - " 2.073023e+06\n", + " 2.011281e+06\n", " 0\n", - " 5.255021e+05\n", - " 33.957678\n", - " 1.547521e+06\n", + " 4.388883e+05\n", + " 27.912140\n", + " 1.572392e+06\n", " 0\n", " \n", " \n", " 1\n", " age\n", - " 2.051171e+06\n", + " 1.948841e+06\n", " 0\n", - " 5.036499e+05\n", - " 32.545597\n", - " 1.547521e+06\n", + " 3.764485e+05\n", + " 23.941130\n", + " 1.572392e+06\n", " 0\n", " \n", " \n", - " 5\n", + " 6\n", " pension_income\n", - " 1.724660e+06\n", + " 1.691464e+06\n", " 0\n", - " 1.771395e+05\n", - " 11.446667\n", - " 1.547521e+06\n", + " 1.190717e+05\n", + " 7.572646\n", + " 1.572392e+06\n", " 0\n", " \n", " \n", " 2\n", + " own_children_in_household\n", + " 1.661723e+06\n", + " 0\n", + " 8.933042e+04\n", + " 5.681179\n", + " 1.572392e+06\n", + " 0\n", + " \n", + " \n", + " 3\n", " race\n", - " 1.586420e+06\n", + " 1.614550e+06\n", " 0\n", - " 3.889930e+04\n", - " 2.513653\n", - " 1.547521e+06\n", + " 4.215818e+04\n", + " 2.681149\n", + " 1.572392e+06\n", " 0\n", " \n", " \n", " 0\n", " is_female\n", - " 1.579172e+06\n", + " 1.584438e+06\n", " 0\n", - " 3.165105e+04\n", - " 2.045275\n", - " 1.547521e+06\n", + " 1.204559e+04\n", + " 0.766068\n", + " 1.572392e+06\n", " 0\n", " \n", " \n", @@ -49244,21 +49503,23 @@ "" ], "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", + " 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", - "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 " + "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, @@ -49280,31 +49541,34 @@ "name": "stdout", "output_type": "stream", "text": [ - "Optimal subset: ['interest_dividend_income', 'age', 'employment_income', 'pension_income', 'race', 'is_female']\n", - "Optimal loss: 1548146.2467345514\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", + "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] 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... 1.632692e+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 2.060406e+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 3.404935e+06 1.045049e+05 \n", + "5 0 3.452631e+06 4.769631e+04 \n", + "6 0 3.468665e+06 1.603345e+04 \n" ] } ], @@ -49340,19 +49604,19 @@ "text": [ "Model: best_method, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 662908.715485\n", + "0 networth wasserstein_distance 910298.510146\n", "Model: OLS, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.598665e+06\n", + "0 networth wasserstein_distance 6.799487e+07\n", "Model: QuantReg, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.161526e+08\n", + "0 networth wasserstein_distance 1.217437e+14\n", "Model: Matching, distribution similarity: \n", " Variable Metric Distance\n", - "0 networth wasserstein_distance 1.061307e+06\n", + "0 networth wasserstein_distance 1.194086e+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 8.476211e+14\n" ] } ], @@ -49379,7 +49643,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 30, "id": "643cb47d", "metadata": {}, "outputs": [], @@ -49410,6 +49674,14 @@ " 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", @@ -49435,7 +49707,7 @@ "\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", + " subplot_titles = [\"SCF donor distribution (weighted)\"] + model_names\n", "\n", " # Create 3x2 subplots (3 rows, 2 columns)\n", " fig = make_subplots(\n", @@ -49447,8 +49719,7 @@ " )\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", @@ -49480,7 +49751,7 @@ " fig.add_trace(\n", " go.Scatter(\n", " x=[donor_log_median, donor_log_median],\n", - " y=[0, 10],\n", + " y=[0, 12],\n", " mode=\"lines\",\n", " line=dict(color=donor_color, width=2, dash=\"dash\"),\n", " name=f\"SCF Median: ${10**donor_log_median:,.0f}\",\n", @@ -49510,7 +49781,7 @@ " 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 +49803,7 @@ " 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", @@ -49559,9 +49830,9 @@ " fig.add_trace(\n", " go.Scatter(\n", " x=[donor_log_median, donor_log_median],\n", - " y=[0, 10],\n", + " y=[0, 12],\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", @@ -49573,7 +49844,7 @@ " fig.add_trace(\n", " go.Scatter(\n", " x=[model_log_median, model_log_median],\n", - " y=[0, 10],\n", + " y=[0, 12],\n", " mode=\"lines\",\n", " line=dict(color=model_color, width=2, dash=\"dash\"),\n", " name=f\"{model_name} Median\",\n", @@ -49612,7 +49883,7 @@ " text=(\n", " title\n", " if title\n", - " else \"Log-transformed Net Worth Imputations by Model\"\n", + " else \"Log-transformed net worth imputations by model\"\n", " ),\n", " font=dict(size=18),\n", " x=0.5,\n", @@ -49621,8 +49892,8 @@ " 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 +49914,23 @@ " 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", + " 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", + " range=[0, 12],\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", @@ -49664,6 +49941,76 @@ { "cell_type": "code", "execution_count": 17, + "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': 9}\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": 31, "id": "4f9709f4", "metadata": {}, "outputs": [ @@ -49677,7 +50024,7 @@ { "histnorm": "percent", "marker": { - "color": "grey" + "color": "#999999" }, "name": "SCF (weighted)", "nbinsx": 200, @@ -49685,241515 +50032,233024 @@ "showlegend": true, "type": "histogram", "x": [ - 3.612889769287485, - 4.079181246047625, - 5.103461622094705, - 5.660580912427299, - 4.4284587735155805, - 5.858537197569639, - 3.9138138523837167, - 3.3201462861110542, - 5.122215878272827, - 5.2345172835126865, - 5.833975371279906, - 5.061527870890508, - 5.3483632843851865, - 5.797128987796553, - 3.7634279935629373, - 4.997997636408004, - 0, - 6.431299419469352, - 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"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": 19, + "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, - 6.04127422505423, - 4.532372133567877, - 6.295459337583235, - 5.268858674994136, - 5.002166061756507, - 4.785329835010767, - 4.860936620700094, - 5.636387585813157, - 6.607840891282615, - 6.099853219884381, - 6.296862551992673, - -3.9360107957152093, - 6.204065692452478, - -5.579543525429977, - 5.317331935445897, - 2.9542425094393248, - 5.438542348786111, - 3.9030899869919433, - 5.465085287557432, - 6.144231618090547, - 5.17897694729317, - 6.194708551575123, - 4.933183479174614, - 6.2540257397030805, - 5.9570802596579, - 4.614475366090395, - 5.160198326116568, - 3.3201462861110542, - -3.7853298350107667, - 5.317666442356501, - 5.233757362965511, - 4.424064525417488, - 2.5563025007672873, - 7.156897295333268, - 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"title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } + } + }, + "title": { + "text": "Median household net worth by net-income decile
Comparison of imputation models" + }, + "width": 750, + "xaxis": { + "anchor": "y", + "domain": [ 0, - 4.530839778616521, - 5.252853030979892, - 5.759290033024304, - 6.854852362417834, - 6.8962560772771875, - 5.974787932213558, - 5.815318688125944, - 5.915663603505773, - 5.407900540142635, - -5.138334282071019, - 5.4258601450778405, - 5.252853030979892, - 7.248616870030633, - 5.612359947967774, - 5.252853030979892, - 5.586924708144821, - 5.636186895198724, - 5.779495480795245, - 5.8095597146352675, - 6.553470372213121, - 5.939868544459509, - 6.268343913951065, - 4.880699289218701, - 3.7007037171450197, - 6.0415111129593235, - 5.612359947967774, - 6.280992437043268, - 5.98457681559295, - -5.44544851426605, - 7.507072896756503, - 6.110859293185471, - 3, - 5.419955748489758, - 5.343487370238302, - 5.53655844257153, - 5.743979865241843, - 5.761927838420529, - 2.3010299956639813, - 5.804616416987256, - -4.014940349792937, - 5.82615257982223, - 5.605628222007618, - 6.098989639401177, - 5.81888541459401, - 5.541579243946581, - 5.573683693093797 + 1 ], - "xaxis": "x6", - "yaxis": "y6" + "dtick": 1, + "linecolor": "#CCCCCC", + "showgrid": false, + "showline": true, + "tick0": 1, + "title": { + "text": "Net-income decile (1 = lowest, 10 = highest)" + } }, + "yaxis": { + "anchor": "x", + "domain": [ + 0, + 1 + ], + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "tickformat": "$,.0f", + "title": { + "text": "Median household net worth ($)" + } + } + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "income_col = \"household_net_income\"\n", + "wealth_col = \"networth\"\n", + "\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 ($)\",\n", + " },\n", + " title=(\n", + " \"Median household net worth by net-income decile
\"\n", + " \"Comparison of imputation models\"\n", + " ),\n", + ")\n", + "\n", + "fig.update_layout(\n", + " width=PLOT_CONFIG[\"width\"],\n", + " height=PLOT_CONFIG[\"height\"],\n", + " xaxis=dict(dtick=1, tick0=1),\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", + " yaxis_tickformat=\"$,.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": "feda0d2f", + "metadata": {}, + "source": [ + "## 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": "buy633vuoar", + "metadata": {}, + "source": [ + "## 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 $0 for everyone — meaning all categorically eligible\n", + "persons (aged, blind, or disabled) pass the resource test. Then \n", + "40% are randomly chosen as actually passing the test.\n", + "\n", + "This baseline uses the Enhanced CPS 2024 calibrated dataset\n", + "whose survey weights have been reweighted to match administrative\n", + "totals for SSI participation, tax revenue, SNAP, and other programs.\n", + "\n", + "Administrative totals come from the\n", + "[SSI Annual Statistical Report, 2024](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/index.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "m2mx0oepixj", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n", + "SSI BASELINE: No wealth data (all eligible pass resource test)\n", + "=================================================================\n", + "Metric Simulated Admin Total\n", + "-----------------------------------------------------------------\n", + "Total recipients 19,769,600 7,400,000\n", + "Total expenditure ($B) 152.59 59.6\n", + "Avg monthly benefit ($) 643 697\n", + "-----------------------------------------------------------------\n", + "Recipient ratio (sim/admin) 267.16%\n", + "Expenditure ratio (sim/admin) 256.02%\n" + ] + } + ], + "source": [ + "# --- SSI Baseline: No wealth data (all eligible pass resource test) ---\n", + "\n", + "from policyengine_us import Microsimulation\n", + "from policyengine_us_data import EnhancedCPS_2024\n", + "\n", + "sim_baseline = Microsimulation(dataset=EnhancedCPS_2024)\n", + "\n", + "# PolicyEngine's .sum() already applies survey weights internally\n", + "ssi = sim_baseline.calculate(\"ssi\", period=2024)\n", + "\n", + "# Weighted totals via PolicyEngine's built-in weighted aggregation\n", + "total_expenditure = float(ssi.sum())\n", + "total_recipients = float((ssi > 0).astype(float).sum())\n", + "avg_monthly_benefit = (\n", + " total_expenditure / total_recipients / 12\n", + " if total_recipients > 0\n", + " else 0\n", + ")\n", + "\n", + "# Administrative totals (SSI Annual Statistical Report, 2024)\n", + "admin_recipients = 7_400_000\n", + "admin_expenditure = 59.6e9 # federal SSI payments, CY 2024\n", + "admin_avg_monthly = 697 # average monthly payment, Dec 2024\n", + "\n", + "print(\"=\" * 65)\n", + "print(\"SSI BASELINE: No wealth data (all eligible pass resource test)\")\n", + "print(\"=\" * 65)\n", + "print(\n", + " f\"{'Metric':<35} {'Simulated':>14} {'Admin Total':>14}\"\n", + ")\n", + "print(\"-\" * 65)\n", + "print(\n", + " f\"{'Total recipients':<35} \"\n", + " f\"{total_recipients:>14,.0f} \"\n", + " f\"{admin_recipients:>14,}\"\n", + ")\n", + "print(\n", + " f\"{'Total expenditure ($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", + "$3,000 couple threshold will fail the resource test and lose SSI\n", + "eligibility. The magnitude of this effect depends on the wealth\n", + "distribution each imputation model produces." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "2d9552bb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "================================================================================\n", + "SSI OUTCOMES BY IMPUTATION MODEL\n", + "(Imputed net worth used as ssi_countable_resources)\n", + "================================================================================\n", + "Model Recipients Expend ($B) Avg Mo ($) Recip %\n", + "--------------------------------------------------------------------------------\n", + "OLS 11,342,398 100.46 738 153.3%\n", + "QuantReg 8,262,234 74.58 752 111.7%\n", + "Matching 11,116,984 90.18 676 150.2%\n", + "MDN 9,075,249 79.61 731 122.6%\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" + ] + }, + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ { - "line": { - "color": "grey", - "dash": "dash", - "width": 2 + "marker": { + "color": [ + "#CC6677", + "#DDCC77", + "#117733", + "#332288", + "#88CCEE", + "#999999" + ] }, - "mode": "lines", - "name": "SCF Median", "showlegend": false, - "type": "scatter", + "type": "bar", "x": [ - 5.293053023427832, - 5.293053023427832 + "OLS", + "QuantReg", + "Matching", + "MDN", + "QRF", + "Baseline (no wealth)" ], - "xaxis": "x6", + "xaxis": "x", "y": [ - 0, - 10 + 11342398.18111819, + 8262234.327414215, + 11116984.209978282, + 9075248.530094802, + 12083641.52855222, + 19769600.46492593 ], - "yaxis": "y6" + "yaxis": "y" }, { - "line": { - "color": "#636EFA", - "dash": "dash", - "width": 2 + "marker": { + "color": [ + "#CC6677", + "#DDCC77", + "#117733", + "#332288", + "#88CCEE", + "#999999" + ] }, - "mode": "lines", - "name": "QRF Median", "showlegend": false, - "type": "scatter", + "type": "bar", "x": [ - 5.6047658847038875, - 5.6047658847038875 + "OLS", + "QuantReg", + "Matching", + "MDN", + "QRF", + "Baseline (no wealth)" ], - "xaxis": "x6", + "xaxis": "x2", "y": [ - 0, - 10 + 100.45850661794287, + 74.57541569154087, + 90.18159965036207, + 79.60528101937854, + 102.83008092469666, + 152.5857584659387 ], - "yaxis": "y6" + "yaxis": "y2" } ], "layout": { @@ -291203,8 +283059,8 @@ "size": 16 }, "showarrow": false, - "text": "SCF Donor Distribution (Weighted)", - "x": 0.23, + "text": "SSI recipients by model", + "x": 0.22, "xanchor": "center", "xref": "paper", "y": 1, @@ -291216,8 +283072,8 @@ "size": 16 }, "showarrow": false, - "text": "OLS", - "x": 0.77, + "text": "SSI expenditure by model ($B)", + "x": 0.78, "xanchor": "center", "xref": "paper", "y": 1, @@ -291225,174 +283081,59 @@ "yref": "paper" }, { - "font": { - "size": 16 - }, - "showarrow": false, - "text": "QuantReg", - "x": 0.23, - "xanchor": "center", - "xref": "paper", - "y": 0.6333333333333333, - "yanchor": "bottom", - "yref": "paper" - }, - { - "font": { - "size": 16 - }, - "showarrow": false, - "text": "Matching", - "x": 0.77, - "xanchor": "center", - "xref": "paper", - "y": 0.6333333333333333, - "yanchor": "bottom", - "yref": "paper" - }, - { - "font": { - "size": 16 - }, - "showarrow": false, - "text": "MDN", - "x": 0.23, - "xanchor": "center", - "xref": "paper", - "y": 0.26666666666666666, - "yanchor": "bottom", - "yref": "paper" - }, - { - "font": { - "size": 16 - }, - "showarrow": false, - "text": "QRF", - "x": 0.77, - "xanchor": "center", - "xref": "paper", - "y": 0.26666666666666666, - "yanchor": "bottom", - "yref": "paper" - }, - { - "bgcolor": "rgba(255,255,255,0.8)", - "bordercolor": "rgba(0,0,0,0.3)", - "borderwidth": 1, - "font": { - "size": 10 - }, "showarrow": false, - "text": "Median: $196,360
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} - }, - "yaxis": { - "anchor": "x", - "domain": [ - 0.7333333333333334, - 1 - ], - "range": [ - 0, - 10 - ], - "showgrid": false, - "title": { - "text": "Percentage" - } - }, - "yaxis2": { - "anchor": "x2", - "domain": [ - 0.7333333333333334, - 1 - ], - "range": [ - 0, - 10 - ], - "showgrid": false, - "title": { - "text": "" + }, + "yaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } } }, - "yaxis3": { - "anchor": "x3", + "title": { + "text": "SSI outcomes with imputed wealth as countable resources" + }, + "width": 950, + "xaxis": { + "anchor": "y", "domain": [ - 0.3666666666666667, - 0.6333333333333333 - ], - "range": [ 0, - 10 + 0.44 ], + "linecolor": "#CCCCCC", "showgrid": false, - "title": { - "text": "Percentage" - } + "showline": true }, - "yaxis4": { - "anchor": "x4", + "xaxis2": { + "anchor": "y2", "domain": [ - 0.3666666666666667, - 0.6333333333333333 - ], - "range": [ - 0, - 10 + 0.56, + 1 ], + "linecolor": "#CCCCCC", "showgrid": false, - "title": { - "text": "" - } + "showline": true }, - "yaxis5": { - "anchor": "x5", + "yaxis": { + "anchor": "x", "domain": [ 0, - 0.26666666666666666 - ], - "range": [ - 0, - 10 + 1 ], - "showgrid": false, - "title": { - "text": "Percentage" - } + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "tickformat": ",.0f" }, - "yaxis6": { - "anchor": "x6", + "yaxis2": { + "anchor": "x2", "domain": [ 0, - 0.26666666666666666 - ], - "range": [ - 0, - 10 + 1 ], - "showgrid": false, - "title": { - "text": "" - } + "gridcolor": "#E5E5E5", + "gridwidth": 1, + "linecolor": "#CCCCCC", + "showgrid": true, + "showline": true, + "tickformat": ".1f", + "tickprefix": "$" } } } @@ -292502,39 +284009,443 @@ } ], "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", + "# --- SSI with imputed wealth as countable resources ---\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", + "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", + "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", + "\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", + " # 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", + " ssi = sim.calculate(\"ssi\", period=2024)\n", + "\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", + " 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", - "combined_fig.show()" + "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 ($B)\",\n", + " ],\n", + " horizontal_spacing=0.12,\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=models, y=recipients,\n", + " marker_color=model_colors[:len(models)],\n", + " showlegend=False,\n", + " ),\n", + " row=1, col=1,\n", + ")\n", + "fig.add_hline(\n", + " y=admin_recipients, line_dash=\"dash\",\n", + " line_color=\"black\", line_width=1,\n", + " annotation_text=\"Admin total\",\n", + " annotation_position=\"top right\",\n", + " row=1, col=1,\n", + ")\n", + "\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=models, y=expenditures,\n", + " marker_color=model_colors[:len(models)],\n", + " showlegend=False,\n", + " ),\n", + " row=1, col=2,\n", + ")\n", + "fig.add_hline(\n", + " y=admin_expenditure / 1e9, line_dash=\"dash\",\n", + " line_color=\"black\", line_width=1,\n", + " annotation_text=\"Admin total\",\n", + " annotation_position=\"top right\",\n", + " row=1, col=2,\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=\"SSI outcomes with imputed wealth as countable resources\",\n", + " width=PLOT_CONFIG[\"width\"] + 200,\n", + " height=PLOT_CONFIG[\"height\"] - 100,\n", + " paper_bgcolor=PLOT_CONFIG[\"paper_bgcolor\"],\n", + " plot_bgcolor=PLOT_CONFIG[\"plot_bgcolor\"],\n", + ")\n", + "fig.update_xaxes(\n", + " showgrid=PLOT_CONFIG[\"showgrid_x\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(\n", + " showgrid=PLOT_CONFIG[\"showgrid_y\"],\n", + " gridcolor=PLOT_CONFIG[\"gridcolor\"],\n", + " gridwidth=PLOT_CONFIG[\"gridwidth\"],\n", + " showline=PLOT_CONFIG[\"showline\"],\n", + " linecolor=PLOT_CONFIG[\"linecolor\"],\n", + ")\n", + "fig.update_yaxes(tickformat=\",.0f\", row=1, col=1)\n", + "fig.update_yaxes(tickprefix=\"$\", tickformat=\".1f\", row=1, col=2)\n", + "\n", + "fig.show()" ] }, { "cell_type": "markdown", - "id": "0d7999da", + "id": "vglc517kbro", "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." + "## Policy Reform: SSI Savings Penalty Elimination Act\n", + "\n", + "The SSI resource limits ($2,000 individual / $3,000 couple) have been frozen since 1989. Adjusted for inflation, these thresholds are worth roughly $4,800 / $7,200 in 2024 dollars — meaning SSI's resource test has become substantially more restrictive over time without any legislative change.\n", + "\n", + "The **SSI Savings Penalty Elimination Act** (S. 1234 / H.R. 2540, introduced April 2025) is a bipartisan bill that would raise the resource limits to $10,000 for individuals and $20,000 for couples, with future CPI indexing. This reform provides a natural test case for wealth imputation: simulating the effect of raising resource limits *requires* household-level wealth data, since the reform changes which households pass the resource test.\n", + "\n", + "Below, we simulate SSI outcomes under both current law and the reformed thresholds for each imputation method. The difference — additional recipients and expenditure — represents the estimated reform impact. We also simulate the reform under the baseline (no wealth) scenario, where resources default to $0. Because every household already passes the resource test under current law in the baseline, raising the thresholds has *zero effect* — demonstrating that this reform is literally un-simulable without imputed wealth data." ] }, { - "cell_type": "markdown", - "id": "26c89270", + "cell_type": "code", + "execution_count": 23, + "id": "owl35osuah", "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Reform simulation complete.\n", + "Models simulated: ['OLS', 'QuantReg', 'Matching', 'MDN', 'QRF', 'Baseline (no wealth)']\n" + ] + } + ], "source": [ - "## Wealth distributions by disposable income deciles" + "# --- SSI Savings Penalty Elimination Act: Reform simulation ---\n", + "\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", + "# Define SPEA parameter reform: raise resource limits\n", + "spea_param_reform = Reform.from_dict(\n", + " {\n", + " \"gov.ssa.ssi.eligibility.resources.limit.individual\": {\n", + " \"2024-01-01.2100-12-31\": 10_000,\n", + " },\n", + " \"gov.ssa.ssi.eligibility.resources.limit.couple\": {\n", + " \"2024-01-01.2100-12-31\": 20_000,\n", + " },\n", + " },\n", + " country_id=\"us\",\n", + ")\n", + "\n", + "# --- Reform simulation for each imputation method ---\n", + "ssi_reform_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", + " # Assign to household heads only\n", + " person_resources = np.where(\n", + " is_head, np.maximum(person_networth, 0), 0.0\n", + " ).astype(np.float32)\n", + "\n", + " # Create resource override reform\n", + " resource_reform = make_ssi_resource_reform(person_resources)\n", + "\n", + " # Compose the resource override + SPEA parameter reform as a tuple\n", + " sim_reform = Microsimulation(\n", + " dataset=EnhancedCPS_2024,\n", + " reform=(resource_reform, spea_param_reform),\n", + " )\n", + " ssi_reform = sim_reform.calculate(\"ssi\", period=2024)\n", + "\n", + " total_exp_reform = float(ssi_reform.sum())\n", + " total_recip_reform = float(\n", + " (ssi_reform > 0).astype(float).sum()\n", + " )\n", + " avg_mo_reform = (\n", + " total_exp_reform / total_recip_reform / 12\n", + " if total_recip_reform > 0\n", + " else 0\n", + " )\n", + "\n", + " ssi_reform_results[model_name] = {\n", + " \"recipients\": total_recip_reform,\n", + " \"expenditure\": total_exp_reform,\n", + " \"avg_monthly\": avg_mo_reform,\n", + " }\n", + "\n", + "# --- Baseline reform (no wealth data) ---\n", + "# Under baseline, all resources = $0, so everyone already passes\n", + "# the $2K test. Raising it to $10K/$20K changes nothing.\n", + "sim_baseline_reform = Microsimulation(\n", + " dataset=EnhancedCPS_2024,\n", + " reform=spea_param_reform,\n", + ")\n", + "ssi_baseline_reform = sim_baseline_reform.calculate(\"ssi\", period=2024)\n", + "baseline_reform_exp = float(ssi_baseline_reform.sum())\n", + "baseline_reform_recip = float(\n", + " (ssi_baseline_reform > 0).astype(float).sum()\n", + ")\n", + "baseline_reform_avg = (\n", + " baseline_reform_exp / baseline_reform_recip / 12\n", + " if baseline_reform_recip > 0\n", + " else 0\n", + ")\n", + "\n", + "ssi_reform_results[\"Baseline (no wealth)\"] = {\n", + " \"recipients\": baseline_reform_recip,\n", + " \"expenditure\": baseline_reform_exp,\n", + " \"avg_monthly\": baseline_reform_avg,\n", + "}\n", + "\n", + "print(\"Reform simulation complete.\")\n", + "print(f\"Models simulated: {list(ssi_reform_results.keys())}\")" ] }, { "cell_type": "code", - "execution_count": 18, - "id": "839cff5a", + "execution_count": 24, + "id": "abdmvy9sddj", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "====================================================================================================\n", + "SSI SAVINGS PENALTY ELIMINATION ACT: REFORM IMPACT BY IMPUTATION METHOD\n", + "Resource limits: $2K/$3K (current) -> $10K/$20K (reform)\n", + "====================================================================================================\n", + "Model Current Reform Add. Recip Add. Exp($B) % Incr\n", + "----------------------------------------------------------------------------------------------------\n", + "OLS 11.34M 15.57M 4.22M 24.10 37.2%\n", + "QuantReg 8.26M 8.37M 0.11M 0.99 1.3%\n", + "Matching 11.12M 12.96M 1.85M 10.41 16.6%\n", + "MDN 9.08M 9.78M 0.71M 4.84 7.8%\n", + "QRF 12.08M 12.71M 0.63M 3.39 5.2%\n", + "Baseline (no wealth) 19.77M 19.77M 0.00M 0.00 0.0%\n", + "----------------------------------------------------------------------------------------------------\n", + "\n", + "Baseline (no wealth) reform impact = 0: without wealth data, this reform is un-simulable.\n" + ] + } + ], + "source": [ + "# --- Compute reform impact: difference between reform and current law ---\n", + "\n", + "reform_impact = {}\n", + "for model_name in ssi_reform_results:\n", + " current = ssi_results[model_name]\n", + " reformed = ssi_reform_results[model_name]\n", + " reform_impact[model_name] = {\n", + " \"current_recipients\": current[\"recipients\"],\n", + " \"reform_recipients\": reformed[\"recipients\"],\n", + " \"additional_recipients\": (\n", + " reformed[\"recipients\"] - current[\"recipients\"]\n", + " ),\n", + " \"current_expenditure\": current[\"expenditure\"],\n", + " \"reform_expenditure\": reformed[\"expenditure\"],\n", + " \"additional_expenditure\": (\n", + " reformed[\"expenditure\"] - current[\"expenditure\"]\n", + " ),\n", + " \"pct_increase_recipients\": (\n", + " (reformed[\"recipients\"] - current[\"recipients\"])\n", + " / current[\"recipients\"]\n", + " * 100\n", + " if current[\"recipients\"] > 0\n", + " else 0\n", + " ),\n", + " \"pct_increase_expenditure\": (\n", + " (reformed[\"expenditure\"] - current[\"expenditure\"])\n", + " / current[\"expenditure\"]\n", + " * 100\n", + " if current[\"expenditure\"] > 0\n", + " else 0\n", + " ),\n", + " }\n", + "\n", + "# --- Display reform impact table ---\n", + "print(\"=\" * 100)\n", + "print(\n", + " \"SSI SAVINGS PENALTY ELIMINATION ACT: \"\n", + " \"REFORM IMPACT BY IMPUTATION METHOD\"\n", + ")\n", + "print(\n", + " \"Resource limits: $2K/$3K (current) -> \"\n", + " \"$10K/$20K (reform)\"\n", + ")\n", + "print(\"=\" * 100)\n", + "print(\n", + " f\"{'Model':<25} \"\n", + " f\"{'Current':>10} \"\n", + " f\"{'Reform':>10} \"\n", + " f\"{'Add. Recip':>12} \"\n", + " f\"{'Add. Exp($B)':>13} \"\n", + " f\"{'% Incr':>8}\"\n", + ")\n", + "print(\"-\" * 100)\n", + "for model, r in reform_impact.items():\n", + " print(\n", + " f\"{model:<25} \"\n", + " f\"{r['current_recipients'] / 1e6:>10.2f}M \"\n", + " f\"{r['reform_recipients'] / 1e6:>10.2f}M \"\n", + " f\"{r['additional_recipients'] / 1e6:>12.2f}M \"\n", + " f\"{r['additional_expenditure'] / 1e9:>13.2f} \"\n", + " f\"{r['pct_increase_recipients']:>7.1f}%\"\n", + " )\n", + "print(\"-\" * 100)\n", + "print(\n", + " \"\\nBaseline (no wealth) reform impact = 0: \"\n", + " \"without wealth data, this reform is un-simulable.\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "ikwu2p4d4hj", "metadata": {}, "outputs": [ { @@ -292545,232 +284456,213 @@ }, "data": [ { - "alignmentgroup": "True", - "hovertemplate": "Model=OLS
Net-income decile (1 = lowest, 10 = highest)=%{x}
Median household net worth ($)=%{y}", - "legendgroup": "OLS", - "marker": { - "color": "#EF553B", - "pattern": { - "shape": "" - } - }, - "name": "OLS", - "offsetgroup": "OLS", - "orientation": "v", - "showlegend": true, - "textposition": "auto", - "type": "bar", - "x": [ - 1, - 2, - 3, - 4, - 5, - 6, - 7, - 8, - 9, - 10 - ], - "xaxis": "x", - "y": [ - 18469.010683361797, - 18414.187053503407, - 18607.207204095557, - 19332.990239460494, - 19767.91926242417, - 18904.79847876724, - 19181.50851465114, - 19278.712238136166, - 21009.114780263906, - 22787.757906014704 - ], - "yaxis": "y" - }, - { - "alignmentgroup": "True", - "hovertemplate": "Model=QuantReg
Net-income decile (1 = lowest, 10 = highest)=%{x}
Median household net worth ($)=%{y}", - "legendgroup": "QuantReg", "marker": { - "color": "#00CC96", - "pattern": { - "shape": "" - } + "color": [ + "#CC6677", + "#DDCC77", + "#117733", + "#332288", + "#88CCEE" + ] }, - "name": "QuantReg", - "offsetgroup": "QuantReg", - "orientation": "v", + "name": "Current law", + "opacity": 0.5, "showlegend": true, - "textposition": "auto", "type": "bar", "x": [ - 1, - 2, - 3, - 4, - 5, - 6, - 7, - 8, - 9, - 10 + "OLS", + "QuantReg", + "Matching", + "MDN", + "QRF" ], "xaxis": "x", "y": [ - 156934.5126485541, - 159134.0865617501, - 159380.95195851347, - 158411.23460807238, - 167777.20614806667, - 157132.84907957958, - 160440.54629156966, - 164387.06157191063, - 179762.0796047099, - 185742.19605422954 + 11342398.18111819, + 8262234.327414215, + 11116984.209978282, + 9075248.530094802, + 12083641.52855222 ], "yaxis": "y" }, { - "alignmentgroup": "True", - "hovertemplate": "Model=Matching
Net-income decile (1 = lowest, 10 = highest)=%{x}
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Net-income decile (1 = lowest, 10 = highest)=%{x}
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Comparison of imputation models" + "text": "SSI savings penalty elimination act: Reform impact by imputation method" }, + "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 +285509,26 @@ 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": "$" } } } @@ -293623,102 +285538,182 @@ } ], "source": [ - "income_col = \"household_net_income\"\n", - "wealth_col = \"networth\"\n", + "# --- Reform impact visualization ---\n", + "from pathlib import Path\n", "\n", - "income_deciles = net_disposable_income.decile_rank()\n", - "decile_means = []\n", + "FIGURES_DIR = Path(\n", + " \"/Users/movil1/Desktop/PYTHONJOBS/PolicyEngine\"\n", + " \"/microimpute/paper/figures\"\n", + ")\n", "\n", - "for model, imputations in model_results.items():\n", - " tmp = cps_data.copy()\n", - " cps_data[wealth_col] = imputations\n", + "model_colors = {\n", + " \"OLS\": \"#CC6677\",\n", + " \"QuantReg\": \"#DDCC77\",\n", + " \"Matching\": \"#117733\",\n", + " \"MDN\": \"#332288\",\n", + " \"QRF\": \"#88CCEE\",\n", + " \"Baseline (no wealth)\": \"#999999\",\n", + "}\n", "\n", - " # Create a temporary dataframe with the imputed values\n", - " tmp = pd.DataFrame({\n", - " 'networth': imputations.values.flatten(),\n", - " 'income_decile': income_deciles.values\n", - " })\n", + "# Exclude baseline from the main comparison chart since its\n", + "# reform impact is 0 and distorts the scale\n", + "plot_models = [\n", + " m for m in reform_impact if m != \"Baseline (no wealth)\"\n", + "]\n", "\n", - " # Mean wealth in each decile\n", - " out = (\n", - " tmp.groupby('income_decile')['networth']\n", - " .median()\n", - " .reset_index(name='median_wealth')\n", - " )\n", - " out[\"Model\"] = model\n", - " decile_means.append(out)\n", + "fig = make_subplots(\n", + " rows=1,\n", + " cols=2,\n", + " subplot_titles=[\n", + " \"SSI recipients: current law vs reform\",\n", + " \"SSI expenditure: current law vs reform ($B)\",\n", + " ],\n", + " horizontal_spacing=0.12,\n", + ")\n", "\n", - "avg_df = pd.concat(decile_means, ignore_index=True)\n", - "model_colors = [\"#EF553B\", \"#00CC96\", \"#AB63FA\", \"#FFA15A\", \"#636EFA\"]\n", + "# Current law bars\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=plot_models,\n", + " y=[\n", + " ssi_results[m][\"recipients\"] for m in plot_models\n", + " ],\n", + " name=\"Current law\",\n", + " marker_color=[\n", + " model_colors.get(m, \"#999999\")\n", + " for m in plot_models\n", + " ],\n", + " opacity=0.5,\n", + " showlegend=True,\n", + " ),\n", + " row=1,\n", + " col=1,\n", + ")\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", + "# Reform bars\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=plot_models,\n", + " y=[\n", + " ssi_reform_results[m][\"recipients\"]\n", + " for m in plot_models\n", + " ],\n", + " name=\"Reform ($10K/$20K)\",\n", + " marker_color=[\n", + " model_colors.get(m, \"#999999\")\n", + " for m in plot_models\n", + " ],\n", + " opacity=1.0,\n", + " showlegend=True,\n", " ),\n", + " row=1,\n", + " col=1,\n", ")\n", "\n", - "fig.update_layout(\n", - " xaxis=dict(dtick=1, tick0=1),\n", - " paper_bgcolor=\"#F0F0F0\",\n", - " plot_bgcolor=\"#F0F0F0\",\n", - " yaxis_tickformat=\"$,.0f\",\n", - " hovermode=\"x unified\",\n", + "# Admin total reference line\n", + "fig.add_hline(\n", + " y=admin_recipients,\n", + " line_dash=\"dash\",\n", + " line_color=\"black\",\n", + " line_width=1,\n", + " annotation_text=\"Admin total (current law)\",\n", + " annotation_position=\"top right\",\n", + " row=1,\n", + " col=1,\n", ")\n", "\n", - "fig.update_xaxes(showgrid=False)\n", - "fig.update_yaxes(showgrid=False)\n", + "# Expenditure - current law\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=plot_models,\n", + " y=[\n", + " ssi_results[m][\"expenditure\"] / 1e9\n", + " for m in plot_models\n", + " ],\n", + " name=\"Current law\",\n", + " marker_color=[\n", + " model_colors.get(m, \"#999999\")\n", + " for m in plot_models\n", + " ],\n", + " opacity=0.5,\n", + " showlegend=False,\n", + " ),\n", + " row=1,\n", + " col=2,\n", + ")\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", + "# Expenditure - reform\n", + "fig.add_trace(\n", + " go.Bar(\n", + " x=plot_models,\n", + " y=[\n", + " ssi_reform_results[m][\"expenditure\"] / 1e9\n", + " for m in plot_models\n", + " ],\n", + " name=\"Reform ($10K/$20K)\",\n", + " marker_color=[\n", + " model_colors.get(m, \"#999999\")\n", + " for m in plot_models\n", + " ],\n", + " opacity=1.0,\n", + " showlegend=False,\n", + " ),\n", + " row=1,\n", + " col=2,\n", + ")\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", - ")" + "fig.add_hline(\n", + " y=admin_expenditure / 1e9,\n", + " line_dash=\"dash\",\n", + " line_color=\"black\",\n", + " line_width=1,\n", + " annotation_text=\"Admin total (current law)\",\n", + " annotation_position=\"top right\",\n", + " row=1,\n", + " col=2,\n", + ")\n", + "\n", + "fig.update_layout(\n", + " title=(\n", + " \"SSI savings penalty elimination act: \"\n", + " \"Reform impact by imputation method\"\n", + " ),\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", + " barmode=\"group\",\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", + "# Save figure for paper\n", + "output_path = FIGURES_DIR / \"models_ssi_reform_comparison.png\"\n", + "fig.write_image(\n", + " str(output_path),\n", + " width=1200,\n", + " height=500,\n", + " scale=2,\n", + ")\n", + "fig.show()" ] } ], "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 0c1d103..e4042bc 100644 Binary files a/paper/main.pdf and b/paper/main.pdf differ diff --git a/paper/main.tex b/paper/main.tex index 5329e41..414c243 100644 --- a/paper/main.tex +++ b/paper/main.tex @@ -7,6 +7,7 @@ \usepackage{booktabs} \usepackage{geometry} \usepackage{xcolor} +\usepackage{float} % Draft notice in title \newcommand{\draftnote}{\textbf{[DRAFT]}} @@ -27,15 +28,13 @@ } -\title{Methodological Advances in Microdata Imputation: \\ Quantile Regression Forests for Wealth Imputation \\ \vspace{0.5em} \normalsize \draftnote} +\title{$\texttt{microimpute}$: Benchmarking Cross-Survey Imputation Methods for U.S. Household Wealth} % 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 +54,9 @@ \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..dd447ee 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 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 simulation of the Supplemental Security Income Savings Penalty Elimination Act demonstrates the practical stakes of method choice for downstream analysis. Without imputed wealth, the microsimulation overestimates SSI recipients by 167\%, and the SSI policy reform would be entirely un-simulable. 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..f143f0e --- /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, 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 + \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..73b77fd 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} @@ -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. @@ -180,7 +180,6 @@ \subsubsection{Quantile Random Forests (QRF)} \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} @@ -193,4 +192,12 @@ \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 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 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 case for comparing imputation approaches, as described in Section~\ref{sec:policy_validation}. + +The frozen resource limits also make SSI a compelling case for policy reform analysis. In 2024 dollars, the original 1989 thresholds of \$2,000/\$3,000 are worth approximately \$4,800/\$7,200, meaning the resource test has become substantially more restrictive over time without any legislative change. The SSI Savings Penalty Elimination Act (S.~1234 / H.R.~2540), a bipartisan bill introduced in April 2025, proposes raising these limits to \$10,000 for individuals and \$20,000 for couples, with future CPI indexing \citep{ssi_spea_2025}. Simulating the impact of this reform, and determining which additional households would gain eligibility under the higher thresholds requires household-level wealth data, making it a natural application for cross-survey imputation. As we demonstrate in Section~\ref{sec:policy_validation}, the choice of imputation method produces meaningfully different estimates of this reform's impact, underscoring that imputation is not merely a data preprocessing step but a consequential modeling choice for policy analysis. diff --git a/paper/sections/conclusion.tex b/paper/sections/conclusion.tex index ac8c773..3d9a412 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 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. Simulating the SSI Savings Penalty Elimination Act, which would raise resource limits from \$2,000/\$3,000 to \$10,000/\$20,000, further demonstrates that method choice directly affects policy estimates. Reform impact estimates range from 0.1 to 4.2 million additional recipients and \$1.0 to \$24.1 billion in additional expenditure depending on the imputation method. Without imputed wealth, this reform is entirely un-simulable. -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 rather than a universal superiority, and predictor importance analysis confirms that financial variables drive the majority of imputation accuracy. -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..de0f564 100644 --- a/paper/sections/data.tex +++ b/paper/sections/data.tex @@ -1,17 +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 42c2203..6e9627a 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: +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}. @@ -20,16 +20,44 @@ \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{Limitations and future improvements} +\subsection{Generalizability and predictor sensitivity} -Despite the demonstrated advantages, several limitations warrant consideration for future development: +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 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. 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{Reform analysis and policy uncertainty} + +The SSI Savings Penalty Elimination Act simulation demonstrates that imputation is not merely a data preprocessing step but a consequential modeling choice for policy analysis. The variation in estimated reform impact across the five methods represents practical policy uncertainty: policymakers relying on different imputation approaches would reach different conclusions about the budgetary and coverage effects of raising SSI resource limits. This finding extends beyond SSI to any means-tested program where eligibility depends on wealth or asset data not collected in the primary survey. + +The difference-in-differences approach, by comparing current-law and reform outcomes within each method, partially mitigates the limitation that SCF net worth serves as a proxy for SSI countable resources. Since the systematic bias affects both scenarios similarly, the reform impact estimates are less sensitive to this proxy than the level estimates. Nonetheless, future work could improve these estimates by imputing asset-specific components (e.g., excluding primary residence equity) rather than total net worth, and by extending the analysis to demographic subgroups (aged vs.\ disabled recipients) to better characterize the reform's distributional effects. + +A practical path to resolving the variation in aggregate estimates across imputation methods is survey weight calibration. Rather than choosing a method based on proximity to administrative totals, which conflates imputation accuracy with policy function artifacts, researchers can select the method with the best conditional accuracy (here, QRF) for record-level imputation and then calibrate survey weights to match known administrative aggregates such as SSI recipient counts and total expenditure to ensure national-level representativeness \citep{woodruff2024enhancing}. This two-stage approach achieves the best of both worlds: accurate household-level wealth distributions that preserve the conditional relationships needed for reform simulation, combined with aggregate estimates that align with administrative benchmarks. + +\subsection{Limitations and future improvements}\label{sec:limitations} + +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 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. + +\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 excluded, 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 68e40a2..8228cbc 100644 --- a/paper/sections/introduction.tex +++ b/paper/sections/introduction.tex @@ -1,18 +1,19 @@ \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 Regression 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 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, suggesting that Quantile Random Forests are well-suited to heavy-tailed distributions while highlighting the context-dependence of method choice + \item A policy reform simulation of the SSI Savings Penalty Elimination Act demonstrating that imputation method choice produces meaningfully different estimates of reform impact, and that without imputed wealth data, such reforms are entirely un-simulable \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..d41a552 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 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 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. 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} + 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. + +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} + \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 analysis}\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 analysis layer that evaluates imputation quality through its effect on a concrete policy simulation, under both current law and a proposed reform. + +We use the Supplemental Security Income (SSI) program as the policy 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. 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). + +Beyond this current-law calibration, we simulate a proposed policy reform: the SSI Savings Penalty Elimination Act (S.~1234 / H.R.~2540), which would raise SSI resource limits from \$2,000/\$3,000 to \$10,000/\$20,000 \citep{ssi_spea_2025}. For each imputation method, we simulate SSI outcomes under both current law and the reformed thresholds. The difference between the two represents the estimated reform impact. -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..4396ce5 100644 --- a/paper/sections/results.tex +++ b/paper/sections/results.tex @@ -1,84 +1,152 @@ \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 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 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. -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. +$\texttt{microimpute}$'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} -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}[H] \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. 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}[H] + \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} -\begin{figure}[h] +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}[H] \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. +\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}[H] + \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. 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} -\begin{figure}[h] +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}[H] \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 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 analysis: SSI simulation} + +Following the downstream policy analysis 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}[H] + \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 & 9.1 & 79.6 & 122.6\% \\ + Matching & 11.1 & 90.2 & 150.2\% \\ + 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 produces 19.8 million recipients and \$152.6 billion in expenditure (267.2\% of administrative totals). All five imputation methods substantially reduce this overestimation by screening out households whose imputed wealth exceeds the resource limits. Quantile Regression yields the closest match to administrative totals (111.7\%), while QRF, despite achieving the best quantile loss, produces higher SSI estimates (163.3\%). This divergence 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 values in the SCF, which places more households just below the eligibility threshold. QuantReg's linear compression of the wealth distribution, while statistically less accurate, coincidentally pushes more values above the threshold. The remaining overestimation across all methods reflects that SCF net worth includes assets excluded from SSI countable resources (such as the primary residence and one vehicle). + +\subsubsection{Policy reform: SSI Savings Penalty Elimination Act} + +To demonstrate why wealth imputation matters for policy analysis and not just model calibration, we simulate the SSI Savings Penalty Elimination Act \citep{ssi_spea_2025}, which would raise resource limits from \$2,000/\$3,000 to \$10,000/\$20,000. Table~\ref{tab:ssi_reform} reports SSI outcomes under both current law and the reformed thresholds for each imputation method. + +\begin{table}[H] + \centering + \caption{SSI Savings Penalty Elimination Act: simulated reform impact by imputation method. ``Current'' columns reproduce the current-law results from Table~\ref{tab:ssi_results}; ``Reform'' columns show outcomes under \$10,000/\$20,000 resource limits; ``Additional'' columns show the difference. The baseline (no wealth) scenario produces zero reform impact because all resources default to zero under current law.} + \label{tab:ssi_reform} + \begin{tabular}{lrrrrrr} + \toprule + & \multicolumn{2}{c}{Recipients (M)} & \multicolumn{2}{c}{Expenditure (\$B)} & \multicolumn{2}{c}{Change} \\ + \cmidrule(lr){2-3} \cmidrule(lr){4-5} \cmidrule(lr){6-7} + Model & Current & Reform & Current & Reform & +Recip (M) & +Exp (\$B) \\ + \midrule + QuantReg & 8.3 & 8.4 & 74.6 & 75.6 & 0.1 & 1.0 \\ + MDN & 9.1 & 9.8 & 79.6 & 84.5 & 0.7 & 4.8 \\ + Matching & 11.1 & 13.0 & 90.2 & 100.6 & 1.9 & 10.4 \\ + OLS & 11.3 & 15.6 & 100.5 & 124.6 & 4.2 & 24.1 \\ + QRF & 12.1 & 12.7 & 102.8 & 106.2 & 0.6 & 3.4 \\ + \midrule + Baseline & 19.8 & 19.8 & 152.6 & 152.6 & 0.0 & 0.0 \\ + \bottomrule + \end{tabular} +\end{table} + +The reform raises the resource threshold from \$2,000 to \$10,000 (individual), so the relevant question is how dense each method's imputed wealth distribution is in the \$2,000--\$10,000 range. Households with imputed net worth in this interval fail the current-law resource test but would pass under the reform, gaining SSI eligibility. The estimated number of additional recipients ranges from 0.1 million (QuantReg) to 4.2 million (OLS), with corresponding additional expenditure from \$1.0 billion to \$24.1 billion. This range reflects how differently each imputation approach populates this critical region of the wealth distribution. + +QRF estimates a modest reform impact (0.6 million additional recipients, \$3.4 billion additional expenditure), consistent with its faithful reproduction of the SCF wealth distribution. Most households with near-zero wealth are already below the \$2,000 threshold, so raising it to \$10,000 captures relatively few additional households. OLS, by contrast, produces the largest reform impact (4.2 million additional recipients), because its compressed, normally distributed imputations place a substantial mass of households in the \$2,000--\$10,000 range. QuantReg's near-zero reform impact (0.1 million) reflects its tendency to push imputed values away from this intermediate range. These differences underscore that the choice of imputation method is not merely a technical detail but a modeling decision that directly shapes policy impact estimates. + +The baseline (no wealth data) scenario starkly illustrates why imputation is essential: because all resources default to zero, every categorically eligible individual already passes the current-law resource test, so raising the thresholds has zero effect. Without wealth data, this reform is literally un-simulable. The microsimulation would not be able to distinguish between the status quo and a fivefold increase in resource limits. + +\begin{figure}[H] + \centering + \includegraphics[width=\textwidth]{figures/models_ssi_reform_comparison.png} + \caption{SSI recipients (left) and total expenditure (right) under current law (lighter bars) versus the SSI Savings Penalty Elimination Act reform (darker bars), by imputation method. The dashed line indicates the SSA administrative total under current law.} + \label{fig:ssi_reform} +\end{figure} diff --git a/paper/ssi_policy_overview.md b/paper/ssi_policy_overview.md new file mode 100644 index 0000000..5170f24 --- /dev/null +++ b/paper/ssi_policy_overview.md @@ -0,0 +1,389 @@ +# Supplemental Security Income (SSI): A Policy Overview + +## 1. What SSI Is + +### Purpose + +Supplemental Security Income (SSI) is a federal means-tested income +assistance program administered by the Social Security Administration +(SSA). It provides monthly cash payments to aged, blind, and disabled +individuals who have limited income and resources. Unlike Social +Security retirement and disability benefits, SSI is not based on prior +work history or payroll tax contributions. Instead, it is funded +through general tax revenues from the U.S. Treasury +([SSA, 2023](https://www.ssa.gov/ssi)). + +SSI serves as the nation's primary cash safety net for the most +economically vulnerable Americans who are aged or have disabilities, +functioning as a program of last resort for individuals who cannot +support themselves through employment and lack sufficient Social +Security or other benefits. + +### History + +SSI was established by Title XVI of the Social Security Act and began +making payments on January 1, 1974. The program replaced three +earlier federal-state programs: + +- **Old-Age Assistance (OAA)** -- aid for the elderly poor +- **Aid to the Blind (AB)** -- assistance for blind individuals +- **Aid to the Permanently and Totally Disabled (APTD)** -- support + for people with disabilities + +Prior to SSI, these programs were administered by individual states, +leading to significant variation in eligibility criteria, benefit +levels, and administrative practices. Congress created SSI to +establish a uniform, nationwide floor of income support with +consistent federal eligibility standards and benefit amounts +([Congressional Research Service, 2022](https://crsreports.congress.gov/product/pdf/RL/RL32279)). + +### Policy Goals + +The core policy goals of SSI include: + +1. **Poverty alleviation**: Providing a minimum income floor for + aged, blind, and disabled individuals who lack other means of + support. +2. **Nationwide uniformity**: Replacing the patchwork of state + programs with consistent federal eligibility rules and benefit + levels. +3. **Dignity and independence**: Enabling recipients to meet basic + needs such as food and shelter. +4. **Administrative efficiency**: Centralizing program administration + under the Social Security Administration. + +## 2. Who Qualifies for SSI + +### Categorical Eligibility + +An applicant must meet one of the following categorical requirements +([SSA, 2023](https://www.ssa.gov/benefits/ssi/eligibility)): + +- **Aged**: Age 65 or older. +- **Blind**: Visual acuity of 20/200 or less in the better eye with + use of a correcting lens, or a visual field limitation such that + the widest diameter subtends an angle no greater than 20 degrees. +- **Disabled**: Inability to engage in any substantial gainful + activity (SGA) by reason of a medically determinable physical or + mental impairment that can be expected to result in death or that + has lasted or can be expected to last for a continuous period of + not less than 12 months. For children under age 18, the standard + is having a medically determinable impairment that results in + marked and severe functional limitations. + +### Income Limits + +SSI uses a broad definition of income that includes both earned and +unearned income. Key exclusions and disregards include +([20 CFR § 416.1112](https://www.law.cornell.edu/cfr/text/20/416.1112)): + +- **General income exclusion**: The first $20 per month of most + unearned income (or earned income if no unearned income). +- **Earned income exclusion**: The first $65 per month of earned + income, plus one-half of remaining earned income. +- **Student earned income exclusion**: Up to $2,220 per month (with + an annual maximum of $8,950) for students under age 22 in 2023. + +The substantial gainful activity (SGA) level for non-blind disabled +individuals was $1,470 per month in 2023; for blind individuals, it +was $2,460 per month +([SSA, 2023](https://www.ssa.gov/oact/cola/sga.html)). + +### Resource Limits + +Applicants must have countable resources below +([20 CFR § 416.1205](https://www.law.cornell.edu/cfr/text/20/416.1205)): + +- **$2,000** for an individual +- **$3,000** for a couple + +These limits have not been adjusted for inflation since 1989. Notable +resource exclusions include: + +- The home the individual lives in (regardless of value) +- One vehicle (generally) +- Household goods and personal effects +- Life insurance with a face value of $1,500 or less per person +- Burial funds up to $1,500 per person + +### Citizenship and Residency Requirements + +Applicants generally must be: + +- A U.S. citizen or national, **or** in a qualified alien category + (e.g., lawful permanent residents meeting certain conditions, + refugees, asylees, certain trafficking victims) +- A resident of one of the 50 states, DC, or the Northern Mariana + Islands +- Not absent from the country for 30 or more consecutive days + +## 3. Benefit Amounts + +### Federal Benefit Rate (FBR) for 2023 + +The FBR is the maximum monthly federal SSI payment. For 2023 +([SSA](https://www.ssa.gov/oact/cola/SSIamts.html)): + +| Recipient Category | Monthly FBR | Annual FBR | +|----------------------|-------------|-------------| +| Eligible individual | $914 | $10,968 | +| Eligible couple | $1,371 | $16,452 | + +The 2023 COLA was 8.7%, one of the largest increases in decades, +reflecting high inflation in 2022. + +### How Benefits Are Calculated + +The SSI benefit formula +([42 U.S.C. § 1382](https://www.law.cornell.edu/uscode/text/42/1382)): + +**SSI Federal Benefit = FBR - Countable Income** + +Where countable income is determined after applying all applicable +exclusions. For example, for an individual with $300/month in Social +Security and no earned income: + +1. Start with unearned income: $300 +2. Subtract general exclusion: $300 - $20 = $280 +3. Countable income = $280 +4. SSI benefit = $914 - $280 = **$634/month** + +For earned income of $500/month with no unearned income: + +1. Subtract general exclusion: $500 - $20 = $480 +2. Subtract earned income exclusion: $480 - $65 = $415 +3. Exclude 50% of remainder: $415 / 2 = $207.50 +4. Countable income = $207.50 +5. SSI benefit = $914 - $207.50 = **$706.50/month** + +### State Supplements + +Many states provide supplemental payments on top of the federal SSI +benefit. Approximately 44 states and DC provide some form of state +supplementation. In calendar year 2023, federally administered state +supplementation totaled $3.2 billion +([SSI Annual Statistical Report, 2023](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect01.html)). + +## 4. How SSI Differs from SSDI + +| Feature | SSI | SSDI | +|------------------------|----------------------------------------|----------------------------------------| +| **Funding source** | General tax revenues | Social Security trust fund | +| **Work history** | No work history required | Must have sufficient work credits | +| **Means test** | Yes (income and resource limits) | No means test | +| **Benefit basis** | Need-based (FBR minus countable income)| Based on past earnings (AIME/PIA) | +| **Health coverage** | Medicaid (automatic in most states) | Medicare (after 24-month waiting) | +| **Age eligibility** | 65+ (aged), any age (blind/disabled) | Under full retirement age | +| **2023 max individual**| $914/month (federal only) | $3,627/month (maximum) | +| **Resource limits** | $2,000 / $3,000 | None | + +## 5. Key Statistics (Calendar Year 2023) + +### Recipient Population + +As of December 2023 +([SSI Annual Statistical Report, 2023](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect01.html)): + +- **Total SSI recipients**: **7,425,331** received federally + administered payments. +- **Aged 65 or older**: 2,402,843 (32.4%) +- **Blind and disabled, aged 18-64**: 4,039,319 (54.4%) +- **Blind and disabled, under 18**: 983,169 (13.2%) +- 84% were eligible on the basis of blindness or disability. +- 52% were female. + +### Program Costs + +From the +[SSI Annual Statistical Report, 2023](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/index.html): + +- **Federal SSI payments (CY 2023)**: **$58.2 billion** +- **Total payments including federally administered state + supplements**: **~$61.4 billion** (a 6.6% increase from 2022) +- **Federally administered state supplementation**: $3.2 billion + +### Average Benefits + +- **Average monthly payment (December 2023)**: **$675** + +### Concurrent Beneficiaries + +Approximately **2.5 million** SSI recipients also received Social +Security (OASDI) benefits in 2023 +([SSI ASR 2023, Section 3](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect03.html)). + +## 6. Administrative Totals for Microsimulation Benchmarking + +The following table consolidates the official 2023 administrative +statistics that serve as reference points for comparing +microsimulation results across different imputation models. All +figures are from the +[SSI Annual Statistical Report, 2023](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/index.html) +unless otherwise noted. + +| Metric | Value | Source | +|--------|-------|--------| +| Total SSI recipients (Dec. 2023) | **7,425,331** | [ASR 2023, Sect. 1](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect01.html) | +| -- Aged (65+) | 2,402,843 (32.4%) | ASR 2023, Sect. 1 | +| -- Blind/disabled, 18-64 | 4,039,319 (54.4%) | ASR 2023, Sect. 1 | +| -- Blind/disabled, under 18 | 983,169 (13.2%) | ASR 2023, Sect. 1 | +| Federal SSI payments (CY 2023) | **$58.2 billion** | ASR 2023, Sect. 1 | +| Total incl. fed-admin state supplements | **~$61.4 billion** | ASR 2023, Sect. 1 | +| Federally administered state supplements | $3.2 billion | ASR 2023, Sect. 1 | +| Average monthly federal payment (Dec. 2023) | **$675** | ASR 2023, Sect. 1 | +| Federal Benefit Rate -- individual (2023) | $914/month ($10,968/yr) | [SSA COLA](https://www.ssa.gov/oact/cola/SSIamts.html) | +| Federal Benefit Rate -- couple (2023) | $1,371/month ($16,452/yr) | [SSA COLA](https://www.ssa.gov/oact/cola/SSIamts.html) | +| Concurrent SSI + OASDI recipients | ~2.5 million | [ASR 2023, Sect. 3](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect03.html) | +| Resource limit -- individual | $2,000 | [20 CFR § 416.1205](https://www.law.cornell.edu/cfr/text/20/416.1205) | +| Resource limit -- couple | $3,000 | [20 CFR § 416.1205](https://www.law.cornell.edu/cfr/text/20/416.1205) | +| General income exclusion | $20/month | [20 CFR § 416.1112](https://www.law.cornell.edu/cfr/text/20/416.1112) | +| Earned income exclusion | $65/month + 50% of remainder | [20 CFR § 416.1112](https://www.law.cornell.edu/cfr/text/20/416.1112) | +| SGA threshold -- non-blind (2023) | $1,470/month | [SSA](https://www.ssa.gov/oact/cola/sga.html) | +| SGA threshold -- blind (2023) | $2,460/month | [SSA](https://www.ssa.gov/oact/cola/sga.html) | +| PolicyEngine calibration target (Dec. 2022) | 7,407,730 | `policyengine-us` `calibration/gov/ssa/ssi/participation.yaml` | + +### Suggested Benchmarking Comparisons + +When comparing microsimulation results from datasets imputed with +each of the five models (QRF, OLS, Quantile Regression, Statistical +Matching, MDN), the following comparisons against administrative +totals are most informative: + +1. **Total recipient count**: Compare simulated SSI take-up to the + 7,425,331 administrative total. Differences reflect how each + imputation model's wealth distribution affects who passes the + resource test. +2. **Total federal expenditures**: Compare simulated aggregate SSI + benefits to the $58.2 billion administrative total. +3. **Average monthly benefit**: Compare simulated average to the + $675 administrative average. +4. **Sanity check**: No individual's federal SSI benefit should + exceed $914/month (individual FBR) or $1,371/month (couple FBR). + +**Note on calendar year vs. fiscal year**: The SSA reports SSI +statistics on a calendar-year basis. CBO and the federal budget use +fiscal years (October-September). The figures above are calendar +year 2023 unless otherwise noted. + +**Note on point-in-time vs. annual**: Recipient counts are +point-in-time (December 2023). Payment totals are annual cumulative +figures for calendar year 2023. + +## 7. Policy Significance + +### SSI as an Anti-Poverty Program + +SSI plays a critical role in the U.S. safety net: + +1. **Poverty reduction**: CBPP estimates SSI lifted approximately + 3.2 million people out of deep poverty in 2022, including roughly + 1.1 million children + ([CBPP, 2023](https://www.cbpp.org/research/social-security/supplemental-security-income)). + +2. **Gateway to health coverage**: In most states, SSI eligibility + confers automatic Medicaid eligibility. + +3. **Below-poverty floor**: The maximum federal benefit ($914/month + in 2023) falls below the federal poverty level ($1,215/month for + an individual in 2023), meaning SSI alone does not bring + recipients to the poverty line. + +### Ongoing Policy Debates + +- **Outdated resource limits**: The $2,000/$3,000 limits have not + been updated since 1989 (~$4,800/$7,200 in 2023 dollars). +- **Benefit adequacy**: The FBR is approximately 75% of the federal + poverty guideline. +- **Marriage penalty**: Two SSI recipients' combined couple benefit + ($1,371) is less than two individual benefits ($1,828). + +### Relevance to Microsimulation + +SSI is particularly important for microsimulation models because: + +- Its means-tested structure requires detailed information about + individual income **and assets**, making accurate data imputation + critical. +- SSI interacts with many other programs (Social Security, SNAP, + Medicaid, housing assistance). +- The CPS does not capture wealth/asset data, which is essential for + modeling the SSI resource test. Imputing wealth from the SCF + enables more accurate SSI microsimulation. +- Policy proposals to modify SSI parameters (e.g., raising resource + limits, changing income disregards) require microsimulation to + estimate costs and distributional effects. + +## 8. PolicyEngine SSI Model Architecture + +PolicyEngine US implements SSI as a chain of person-level variables +under `policyengine_us/variables/gov/ssa/ssi/`. The calculation +flows as follows: + +``` +ssi (final benefit, Person, YEAR) + └─ uncapped_ssi = ssi_amount_if_eligible - ssi_countable_income + │ + ├─ ssi_amount_if_eligible (FBR lookup) + │ ├─ Joint claim (both spouses eligible) → couple rate / 2 + │ ├─ Spousal deeming applies → couple rate (capped to + │ │ individual FBR in ssi.py per 20 CFR §416.1163) + │ └─ Otherwise → individual rate + │ + ├─ ssi_countable_income + │ ├─ ssi_marital_earned_income + │ │ └─ Sources: employment_income, self_employment_income + │ ├─ ssi_marital_unearned_income + │ │ └─ Sources: pension_income, social_security, + │ │ disability_benefits, veterans_benefits, + │ │ workers_compensation, unemployment_compensation, + │ │ retirement_distributions, gi_cash_assistance, + │ │ alimony_income, child_support_received, + │ │ dividend_income, interest_income, rental_income + │ ├─ ssi_blind_or_disabled_working_student_exclusion + │ ├─ ssi_unearned_income_deemed_from_ineligible_parent + │ ├─ ssi_income_deemed_from_ineligible_spouse + │ └─ _apply_ssi_exclusions(): + │ 1. $20/mo general exclusion (unearned first) + │ 2. $65/mo earned income exclusion + │ 3. 50% of remaining earned income excluded + │ + └─ is_ssi_eligible + ├─ is_ssi_aged_blind_disabled + │ ├─ is_ssi_aged (age >= 65) + │ ├─ is_blind + │ └─ is_ssi_disabled (reported SSI receipt OR + │ is_disabled, AND not engaged in SGA) + ├─ meets_ssi_resource_test + │ └─ ssi_countable_resources (INPUT VARIABLE, + │ no formula — must be provided in data) + │ Limit: $2,000 individual / $3,000 couple + └─ citizenship (CITIZEN or qualified noncitizen) +``` + +**Key finding for imputation research**: The variable +`ssi_countable_resources` is a stub with no formula — it must be +provided as input data. Since the CPS does not collect wealth/asset +data, PolicyEngine uses a `pass_rate` calibration parameter of +**0.4** (meaning it probabilistically assumes only 40% of +categorically eligible people pass the asset test when resources +are unavailable). Imputing wealth from the SCF directly populates +this variable, enabling a proper resource test rather than relying +on the 40% heuristic. Different imputation models will produce +different wealth distributions, directly affecting who passes the +resource test and therefore the simulated recipient count and total +expenditures. + +## Sources + +1. SSA. "Understanding Supplemental Security Income." [https://www.ssa.gov/ssi](https://www.ssa.gov/ssi) +2. SSA. "SSI Eligibility Requirements." [https://www.ssa.gov/benefits/ssi/eligibility](https://www.ssa.gov/benefits/ssi/eligibility) +3. SSA. "SSI Federal Payment Amounts." [https://www.ssa.gov/oact/cola/SSIamts.html](https://www.ssa.gov/oact/cola/SSIamts.html) +4. SSA. "Substantial Gainful Activity." [https://www.ssa.gov/oact/cola/sga.html](https://www.ssa.gov/oact/cola/sga.html) +5. SSA. *SSI Annual Statistical Report, 2023.* [https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/index.html](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/index.html) +6. SSA. *SSI Annual Statistical Report, 2023 -- Section 1.* [https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect01.html](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect01.html) +7. SSA. *SSI Annual Statistical Report, 2023 -- Section 3.* [https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect03.html](https://www.ssa.gov/policy/docs/statcomps/ssi_asr/2023/sect03.html) +8. Congressional Research Service. "Supplemental Security Income: An Overview." CRS Report RL32279. [https://crsreports.congress.gov/product/pdf/RL/RL32279](https://crsreports.congress.gov/product/pdf/RL/RL32279) +9. Center on Budget and Policy Priorities. "Supplemental Security Income." [https://www.cbpp.org/research/social-security/supplemental-security-income](https://www.cbpp.org/research/social-security/supplemental-security-income) +10. 20 CFR § 416.1112 -- Earned income we do not count. [https://www.law.cornell.edu/cfr/text/20/416.1112](https://www.law.cornell.edu/cfr/text/20/416.1112) +11. 20 CFR § 416.1205 -- Limitation on resources. [https://www.law.cornell.edu/cfr/text/20/416.1205](https://www.law.cornell.edu/cfr/text/20/416.1205) +12. 42 U.S.C. § 1382 -- Eligibility for benefits. [https://www.law.cornell.edu/uscode/text/42/1382](https://www.law.cornell.edu/uscode/text/42/1382) 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