{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Robust Linear Models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:40:15.098902Z", "iopub.status.busy": "2023-12-14T14:40:15.098672Z", "iopub.status.idle": "2023-12-14T14:40:16.369819Z", "shell.execute_reply": "2023-12-14T14:40:16.369058Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:40:16.373831Z", "iopub.status.busy": "2023-12-14T14:40:16.373233Z", "iopub.status.idle": "2023-12-14T14:40:19.096096Z", "shell.execute_reply": "2023-12-14T14:40:19.094881Z" } }, "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": "2023-12-14T14:40:19.100068Z", "iopub.status.busy": "2023-12-14T14:40:19.099543Z", "iopub.status.idle": "2023-12-14T14:40:19.122256Z", "shell.execute_reply": "2023-12-14T14:40:19.121250Z" } }, "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": "2023-12-14T14:40:19.126892Z", "iopub.status.busy": "2023-12-14T14:40:19.125987Z", "iopub.status.idle": "2023-12-14T14:40:19.182575Z", "shell.execute_reply": "2023-12-14T14:40:19.181787Z" } }, "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: Thu, 14 Dec 2023 \n", "Time: 14:40:19 \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": "2023-12-14T14:40:19.186616Z", "iopub.status.busy": "2023-12-14T14:40:19.186116Z", "iopub.status.idle": "2023-12-14T14:40:19.248527Z", "shell.execute_reply": "2023-12-14T14:40:19.246543Z" } }, "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": "2023-12-14T14:40:19.255640Z", "iopub.status.busy": "2023-12-14T14:40:19.252466Z", "iopub.status.idle": "2023-12-14T14:40:19.388042Z", "shell.execute_reply": "2023-12-14T14:40:19.385758Z" } }, "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": "2023-12-14T14:40:19.395533Z", "iopub.status.busy": "2023-12-14T14:40:19.392914Z", "iopub.status.idle": "2023-12-14T14:40:19.413908Z", "shell.execute_reply": "2023-12-14T14:40:19.412364Z" } }, "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": "2023-12-14T14:40:19.419463Z", "iopub.status.busy": "2023-12-14T14:40:19.417453Z", "iopub.status.idle": "2023-12-14T14:40:19.435954Z", "shell.execute_reply": "2023-12-14T14:40:19.434778Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4.97344415 0.51693818 -0.01217475]\n", "[0.46782019 0.07222512 0.00639081]\n", "[ 4.66907536 4.92773512 5.18233832 5.43288496 5.67937503 5.92180855\n", " 6.16018551 6.3945059 6.62476974 6.85097702 7.07312773 7.29122189\n", " 7.50525948 7.71524052 7.92116499 8.12303291 8.32084426 8.51459906\n", " 8.70429729 8.88993896 9.07152408 9.24905263 9.42252462 9.59194006\n", " 9.75729893 9.91860124 10.07584699 10.22903618 10.37816881 10.52324489\n", " 10.6642644 10.80122735 10.93413374 11.06298357 11.18777684 11.30851355\n", " 11.4251937 11.53781729 11.64638432 11.75089478 11.85134869 11.94774604\n", " 12.04008683 12.12837106 12.21259872 12.29276983 12.36888438 12.44094237\n", " 12.50894379 12.57288866]\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": "2023-12-14T14:40:19.441236Z", "iopub.status.busy": "2023-12-14T14:40:19.439210Z", "iopub.status.idle": "2023-12-14T14:40:19.476780Z", "shell.execute_reply": "2023-12-14T14:40:19.476021Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4.80852345e+00 5.21589423e-01 -3.94997736e-03]\n", "[0.16943704 0.02615879 0.00231465]\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": "2023-12-14T14:40:19.480471Z", "iopub.status.busy": "2023-12-14T14:40:19.480037Z", "iopub.status.idle": "2023-12-14T14:40:20.256701Z", "shell.execute_reply": "2023-12-14T14:40:20.255942Z" } }, "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": "2023-12-14T14:40:20.260173Z", "iopub.status.busy": "2023-12-14T14:40:20.259721Z", "iopub.status.idle": "2023-12-14T14:40:20.267553Z", "shell.execute_reply": "2023-12-14T14:40:20.266827Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5.46416117 0.39519066]\n", "[0.40106996 0.03455781]\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": "2023-12-14T14:40:20.271006Z", "iopub.status.busy": "2023-12-14T14:40:20.270595Z", "iopub.status.idle": "2023-12-14T14:40:20.293607Z", "shell.execute_reply": "2023-12-14T14:40:20.292763Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[4.9729704 0.48451464]\n", "[0.13979899 0.01204565]\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": "2023-12-14T14:40:20.297299Z", "iopub.status.busy": "2023-12-14T14:40:20.296855Z", "iopub.status.idle": "2023-12-14T14:40:20.995569Z", "shell.execute_reply": "2023-12-14T14:40:20.994779Z" } }, "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }