{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Robust Linear Models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:32.041735Z", "iopub.status.busy": "2024-04-19T16:35:32.041478Z", "iopub.status.idle": "2024-04-19T16:35:33.274964Z", "shell.execute_reply": "2024-04-19T16:35:33.274173Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:33.278152Z", "iopub.status.busy": "2024-04-19T16:35:33.277702Z", "iopub.status.idle": "2024-04-19T16:35:35.341069Z", "shell.execute_reply": "2024-04-19T16:35:35.339122Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import statsmodels.api as sm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimation\n", "\n", "Load data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.344805Z", "iopub.status.busy": "2024-04-19T16:35:35.344397Z", "iopub.status.idle": "2024-04-19T16:35:35.362725Z", "shell.execute_reply": "2024-04-19T16:35:35.362135Z" } }, "outputs": [], "source": [ "data = sm.datasets.stackloss.load()\n", "data.exog = sm.add_constant(data.exog)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Huber's T norm with the (default) median absolute deviation scaling" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.365600Z", "iopub.status.busy": "2024-04-19T16:35:35.365318Z", "iopub.status.idle": "2024-04-19T16:35:35.385198Z", "shell.execute_reply": "2024-04-19T16:35:35.384608Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const -41.026498\n", "AIRFLOW 0.829384\n", "WATERTEMP 0.926066\n", "ACIDCONC -0.127847\n", "dtype: float64\n", "const 9.791899\n", "AIRFLOW 0.111005\n", "WATERTEMP 0.302930\n", "ACIDCONC 0.128650\n", "dtype: float64\n", " Robust linear Model Regression Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 21\n", "Model: RLM Df Residuals: 17\n", "Method: IRLS Df Model: 3\n", "Norm: HuberT \n", "Scale Est.: mad \n", "Cov Type: H1 \n", "Date: Fri, 19 Apr 2024 \n", "Time: 16:35:35 \n", "No. Iterations: 19 \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "var_0 -41.0265 9.792 -4.190 0.000 -60.218 -21.835\n", "var_1 0.8294 0.111 7.472 0.000 0.612 1.047\n", "var_2 0.9261 0.303 3.057 0.002 0.332 1.520\n", "var_3 -0.1278 0.129 -0.994 0.320 -0.380 0.124\n", "==============================================================================\n", "\n", "If the model instance has been used for another fit with different fit parameters, then the fit options might not be the correct ones anymore .\n" ] } ], "source": [ "huber_t = sm.RLM(data.endog, data.exog, M=sm.robust.norms.HuberT())\n", "hub_results = huber_t.fit()\n", "print(hub_results.params)\n", "print(hub_results.bse)\n", "print(\n", " hub_results.summary(\n", " yname=\"y\", xname=[\"var_%d\" % i for i in range(len(hub_results.params))]\n", " )\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Huber's T norm with 'H2' covariance matrix" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.391408Z", "iopub.status.busy": "2024-04-19T16:35:35.389100Z", "iopub.status.idle": "2024-04-19T16:35:35.426311Z", "shell.execute_reply": "2024-04-19T16:35:35.425629Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "const -41.026498\n", "AIRFLOW 0.829384\n", "WATERTEMP 0.926066\n", "ACIDCONC -0.127847\n", "dtype: float64\n", "const 9.089504\n", "AIRFLOW 0.119460\n", "WATERTEMP 0.322355\n", "ACIDCONC 0.117963\n", "dtype: float64\n" ] } ], "source": [ "hub_results2 = huber_t.fit(cov=\"H2\")\n", "print(hub_results2.params)\n", "print(hub_results2.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Andrew's Wave norm with Huber's Proposal 2 scaling and 'H3' covariance matrix" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.429591Z", "iopub.status.busy": "2024-04-19T16:35:35.428941Z", "iopub.status.idle": "2024-04-19T16:35:35.522787Z", "shell.execute_reply": "2024-04-19T16:35:35.522141Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters: const -40.881796\n", "AIRFLOW 0.792761\n", "WATERTEMP 1.048576\n", "ACIDCONC -0.133609\n", "dtype: float64\n" ] } ], "source": [ "andrew_mod = sm.RLM(data.endog, data.exog, M=sm.robust.norms.AndrewWave())\n", "andrew_results = andrew_mod.fit(scale_est=sm.robust.scale.HuberScale(), cov=\"H3\")\n", "print(\"Parameters: \", andrew_results.params)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See ``help(sm.RLM.fit)`` for more options and ``module sm.robust.scale`` for scale options\n", "\n", "## Comparing OLS and RLM\n", "\n", "Artificial data with outliers:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.525688Z", "iopub.status.busy": "2024-04-19T16:35:35.525259Z", "iopub.status.idle": "2024-04-19T16:35:35.536526Z", "shell.execute_reply": "2024-04-19T16:35:35.535898Z" } }, "outputs": [], "source": [ "nsample = 50\n", "x1 = np.linspace(0, 20, nsample)\n", "X = np.column_stack((x1, (x1 - 5) ** 2))\n", "X = sm.add_constant(X)\n", "sig = 0.3 # smaller error variance makes OLS<->RLM contrast bigger\n", "beta = [5, 0.5, -0.0]\n", "y_true2 = np.dot(X, beta)\n", "y2 = y_true2 + sig * 1.0 * np.random.normal(size=nsample)\n", "y2[[39, 41, 43, 45, 48]] -= 5 # add some outliers (10% of nsample)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 1: quadratic function with linear truth\n", "\n", "Note that the quadratic term in OLS regression will capture outlier effects. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.541680Z", "iopub.status.busy": "2024-04-19T16:35:35.540207Z", "iopub.status.idle": "2024-04-19T16:35:35.556560Z", "shell.execute_reply": "2024-04-19T16:35:35.555977Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 5.2728652 0.48407674 -0.01000253]\n", "[0.46814837 0.07227579 0.00639529]\n", "[ 5.02280207 5.25954465 5.49295445 5.72303146 5.94977568 6.17318711\n", " 6.39326576 6.61001163 6.8234247 7.03350499 7.2402525 7.44366721\n", " 7.64374914 7.84049829 8.03391465 8.22399822 8.410749 8.594167\n", " 8.77425222 8.95100464 9.12442428 9.29451114 9.4612652 9.62468649\n", " 9.78477498 9.94153069 10.09495361 10.24504375 10.3918011 10.53522566\n", " 10.67531744 10.81207643 10.94550263 11.07559605 11.20235668 11.32578453\n", " 11.44587958 11.56264186 11.67607134 11.78616804 11.89293196 11.99636308\n", " 12.09646142 12.19322698 12.28665975 12.37675973 12.46352692 12.54696133\n", " 12.62706296 12.70383179]\n" ] } ], "source": [ "res = sm.OLS(y2, X).fit()\n", "print(res.params)\n", "print(res.bse)\n", "print(res.predict())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate RLM:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.561511Z", "iopub.status.busy": "2024-04-19T16:35:35.559937Z", "iopub.status.idle": "2024-04-19T16:35:35.590741Z", "shell.execute_reply": "2024-04-19T16:35:35.590133Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.21319116e+00 4.67333752e-01 1.10487038e-03]\n", "[0.12896436 0.01991036 0.00176176]\n" ] } ], "source": [ "resrlm = sm.RLM(y2, X).fit()\n", "print(resrlm.params)\n", "print(resrlm.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Draw a plot to compare OLS estimates to the robust estimates:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:35.595878Z", "iopub.status.busy": "2024-04-19T16:35:35.594263Z", "iopub.status.idle": "2024-04-19T16:35:36.246516Z", "shell.execute_reply": "2024-04-19T16:35:36.245815Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(x1, y2, \"o\", label=\"data\")\n", "ax.plot(x1, y_true2, \"b-\", label=\"True\")\n", "pred_ols = res.get_prediction()\n", "iv_l = pred_ols.summary_frame()[\"obs_ci_lower\"]\n", "iv_u = pred_ols.summary_frame()[\"obs_ci_upper\"]\n", "\n", "ax.plot(x1, res.fittedvalues, \"r-\", label=\"OLS\")\n", "ax.plot(x1, iv_u, \"r--\")\n", "ax.plot(x1, iv_l, \"r--\")\n", "ax.plot(x1, resrlm.fittedvalues, \"g.-\", label=\"RLM\")\n", "ax.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example 2: linear function with linear truth\n", "\n", "Fit a new OLS model using only the linear term and the constant:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:36.249465Z", "iopub.status.busy": "2024-04-19T16:35:36.249220Z", "iopub.status.idle": "2024-04-19T16:35:36.254490Z", "shell.execute_reply": "2024-04-19T16:35:36.253709Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.6760282 0.38405149]\n", "[0.39663485 0.03417566]\n" ] } ], "source": [ "X2 = X[:, [0, 1]]\n", "res2 = sm.OLS(y2, X2).fit()\n", "print(res2.params)\n", "print(res2.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate RLM:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:36.257657Z", "iopub.status.busy": "2024-04-19T16:35:36.257202Z", "iopub.status.idle": "2024-04-19T16:35:36.294818Z", "shell.execute_reply": "2024-04-19T16:35:36.294161Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.17129849 0.47724463]\n", "[0.10796162 0.00930241]\n" ] } ], "source": [ "resrlm2 = sm.RLM(y2, X2).fit()\n", "print(resrlm2.params)\n", "print(resrlm2.bse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Draw a plot to compare OLS estimates to the robust estimates:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-04-19T16:35:36.298197Z", "iopub.status.busy": "2024-04-19T16:35:36.297713Z", "iopub.status.idle": "2024-04-19T16:35:36.843434Z", "shell.execute_reply": "2024-04-19T16:35:36.842784Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred_ols = res2.get_prediction()\n", "iv_l = pred_ols.summary_frame()[\"obs_ci_lower\"]\n", "iv_u = pred_ols.summary_frame()[\"obs_ci_upper\"]\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "ax.plot(x1, y2, \"o\", label=\"data\")\n", "ax.plot(x1, y_true2, \"b-\", label=\"True\")\n", "ax.plot(x1, res2.fittedvalues, \"r-\", label=\"OLS\")\n", "ax.plot(x1, iv_u, \"r--\")\n", "ax.plot(x1, iv_l, \"r--\")\n", "ax.plot(x1, resrlm2.fittedvalues, \"g.-\", label=\"RLM\")\n", "legend = ax.legend(loc=\"best\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }