{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quantile regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "This example page shows how to use ``statsmodels``' ``QuantReg`` class to replicate parts of the analysis published in \n", "\n", "* Koenker, Roger and Kevin F. Hallock. \"Quantile Regression\". Journal of Economic Perspectives, Volume 15, Number 4, Fall 2001, Pages 143–156\n", "\n", "We are interested in the relationship between income and expenditures on food for a sample of working class Belgian households in 1857 (the Engel data). \n", "\n", "## Setup\n", "\n", "We first need to load some modules and to retrieve the data. Conveniently, the Engel dataset is shipped with ``statsmodels``." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:34.085979Z", "iopub.status.busy": "2023-12-14T14:44:34.085707Z", "iopub.status.idle": "2023-12-14T14:44:34.833425Z", "shell.execute_reply": "2023-12-14T14:44:34.832468Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:34.837853Z", "iopub.status.busy": "2023-12-14T14:44:34.837389Z", "iopub.status.idle": "2023-12-14T14:44:36.011171Z", "shell.execute_reply": "2023-12-14T14:44:36.010316Z" } }, "outputs": [ { "data": { "text/html": [ "
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incomefoodexp
0420.157651255.839425
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" ], "text/plain": [ " income foodexp\n", "0 420.157651 255.839425\n", "1 541.411707 310.958667\n", "2 901.157457 485.680014\n", "3 639.080229 402.997356\n", "4 750.875606 495.560775" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "import matplotlib.pyplot as plt\n", "\n", "data = sm.datasets.engel.load_pandas().data\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Least Absolute Deviation\n", "\n", "The LAD model is a special case of quantile regression where q=0.5" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:36.018103Z", "iopub.status.busy": "2023-12-14T14:44:36.016697Z", "iopub.status.idle": "2023-12-14T14:44:36.054955Z", "shell.execute_reply": "2023-12-14T14:44:36.054226Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " QuantReg Regression Results \n", "==============================================================================\n", "Dep. Variable: foodexp Pseudo R-squared: 0.6206\n", "Model: QuantReg Bandwidth: 64.51\n", "Method: Least Squares Sparsity: 209.3\n", "Date: Thu, 14 Dec 2023 No. Observations: 235\n", "Time: 14:44:36 Df Residuals: 233\n", " Df Model: 1\n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept 81.4823 14.634 5.568 0.000 52.649 110.315\n", "income 0.5602 0.013 42.516 0.000 0.534 0.586\n", "==============================================================================\n", "\n", "The condition number is large, 2.38e+03. This might indicate that there are\n", "strong multicollinearity or other numerical problems.\n" ] } ], "source": [ "mod = smf.quantreg(\"foodexp ~ income\", data)\n", "res = mod.fit(q=0.5)\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the results\n", "\n", "We estimate the quantile regression model for many quantiles between .05 and .95, and compare best fit line from each of these models to Ordinary Least Squares results. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prepare data for plotting\n", "\n", "For convenience, we place the quantile regression results in a Pandas DataFrame, and the OLS results in a dictionary." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:36.061365Z", "iopub.status.busy": "2023-12-14T14:44:36.059545Z", "iopub.status.idle": "2023-12-14T14:44:36.318791Z", "shell.execute_reply": "2023-12-14T14:44:36.317980Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " q a b lb ub\n", "0 0.05 124.880096 0.343361 0.268632 0.418090\n", "1 0.15 111.693660 0.423708 0.382780 0.464636\n", "2 0.25 95.483539 0.474103 0.439900 0.508306\n", "3 0.35 105.841294 0.488901 0.457759 0.520043\n", "4 0.45 81.083647 0.552428 0.525021 0.579835\n", "5 0.55 89.661370 0.565601 0.540955 0.590247\n", "6 0.65 74.033434 0.604576 0.582169 0.626982\n", "7 0.75 62.396584 0.644014 0.622411 0.665617\n", "8 0.85 52.272216 0.677603 0.657383 0.697823\n", "9 0.95 64.103964 0.709069 0.687831 0.730306\n", "{'a': 147.47538852370573, 'b': 0.48517842367692354, 'lb': 0.4568738130184233, 'ub': 0.5134830343354237}\n" ] } ], "source": [ "quantiles = np.arange(0.05, 0.96, 0.1)\n", "\n", "\n", "def fit_model(q):\n", " res = mod.fit(q=q)\n", " return [q, res.params[\"Intercept\"], res.params[\"income\"]] + res.conf_int().loc[\n", " \"income\"\n", " ].tolist()\n", "\n", "\n", "models = [fit_model(x) for x in quantiles]\n", "models = pd.DataFrame(models, columns=[\"q\", \"a\", \"b\", \"lb\", \"ub\"])\n", "\n", "ols = smf.ols(\"foodexp ~ income\", data).fit()\n", "ols_ci = ols.conf_int().loc[\"income\"].tolist()\n", "ols = dict(\n", " a=ols.params[\"Intercept\"], b=ols.params[\"income\"], lb=ols_ci[0], ub=ols_ci[1]\n", ")\n", "\n", "print(models)\n", "print(ols)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### First plot\n", "\n", "This plot compares best fit lines for 10 quantile regression models to the least squares fit. As Koenker and Hallock (2001) point out, we see that:\n", "\n", "1. Food expenditure increases with income\n", "2. The *dispersion* of food expenditure increases with income\n", "3. The least squares estimates fit low income observations quite poorly (i.e. the OLS line passes over most low income households)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:36.324259Z", "iopub.status.busy": "2023-12-14T14:44:36.322959Z", "iopub.status.idle": "2023-12-14T14:44:36.622935Z", "shell.execute_reply": "2023-12-14T14:44:36.622148Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Food expenditure')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.arange(data.income.min(), data.income.max(), 50)\n", "get_y = lambda a, b: a + b * x\n", "\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "for i in range(models.shape[0]):\n", " y = get_y(models.a[i], models.b[i])\n", " ax.plot(x, y, linestyle=\"dotted\", color=\"grey\")\n", "\n", "y = get_y(ols[\"a\"], ols[\"b\"])\n", "\n", "ax.plot(x, y, color=\"red\", label=\"OLS\")\n", "ax.scatter(data.income, data.foodexp, alpha=0.2)\n", "ax.set_xlim((240, 3000))\n", "ax.set_ylim((240, 2000))\n", "legend = ax.legend()\n", "ax.set_xlabel(\"Income\", fontsize=16)\n", "ax.set_ylabel(\"Food expenditure\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Second plot\n", "\n", "The dotted black lines form 95% point-wise confidence band around 10 quantile regression estimates (solid black line). The red lines represent OLS regression results along with their 95% confidence interval.\n", "\n", "In most cases, the quantile regression point estimates lie outside the OLS confidence interval, which suggests that the effect of income on food expenditure may not be constant across the distribution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:44:36.626110Z", "iopub.status.busy": "2023-12-14T14:44:36.625559Z", "iopub.status.idle": "2023-12-14T14:44:36.888633Z", "shell.execute_reply": "2023-12-14T14:44:36.887934Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = models.shape[0]\n", "p1 = plt.plot(models.q, models.b, color=\"black\", label=\"Quantile Reg.\")\n", "p2 = plt.plot(models.q, models.ub, linestyle=\"dotted\", color=\"black\")\n", "p3 = plt.plot(models.q, models.lb, linestyle=\"dotted\", color=\"black\")\n", "p4 = plt.plot(models.q, [ols[\"b\"]] * n, color=\"red\", label=\"OLS\")\n", "p5 = plt.plot(models.q, [ols[\"lb\"]] * n, linestyle=\"dotted\", color=\"red\")\n", "p6 = plt.plot(models.q, [ols[\"ub\"]] * n, linestyle=\"dotted\", color=\"red\")\n", "plt.ylabel(r\"$\\beta_{income}$\")\n", "plt.xlabel(\"Quantiles of the conditional food expenditure distribution\")\n", "plt.legend()\n", "plt.show()" ] } ], "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 }