{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/jo/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", " from pandas.core import datetools\n" ] } ], "source": [ "# import packages\n", "import numpy as np\n", "from scipy import stats\n", "\n", "from share_code.utils import plt, sns, my_saving_display, pinball\n", "\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", "from statsmodels.regression.quantile_regression import QuantReg\n", "\n", "\n", "\n", "sns.set_palette(\"colorblind\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# to get images in the notebook\n", "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "dirname = \"../prebuiltimages/\"\n", "imageformat = \".pdf\" # should be .pdf or .png \n", "# some colors I'll use\n", "brown = (0.64, 0.16, 0.16)\n", "purple = (148. / 255, 0, 211. / 255)\n", "plt.close(\"all\")\n", "saving = True # True" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# import seaborn as sns\n", "# sns.set_palette(\"colorblind\")\n", "# sns.set_style(\"ticks\")\n", "color_blind_list = sns.color_palette(\"colorblind\", 8)\n", "c0 = color_blind_list[0]\n", "c1 = color_blind_list[1]\n", "c2 = color_blind_list[2]\n", "c3 = color_blind_list[3]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = np.linspace(-4, 4, 500)\n", "\n", "\n", "def quantile_loss(x, threshold=0.95):\n", " return pinball(x, slope1=threshold - 1, slope2=threshold)\n", "\n", "\n", "def plot_data_statistics(x, function, threshold, figname, ylims=[-1, 5], xlims=[-4, 4], derivate=False,\n", " name=r'$\\ell_\\alpha$,'):\n", "\n", " fig1, ax = plt.subplots(figsize=(5, 5))\n", " if derivate is False:\n", " ax.plot(x, np.abs(x) / 2, 'k--', lw=2, label=r'$\\frac{|\\cdot|}{2}$')\n", " ax.set_xlim(xlims[0], xlims[1])\n", " ax.set_ylim(ylims[0], ylims[1])\n", " ax.plot(x, function(x, threshold), c=c0, lw=1.7,\n", " label=name + r' $\\alpha= {:.2f}$'.format(threshold))\n", "\n", " plt.legend(loc='upper center')\n", " plt.tight_layout()\n", " plt.show()\n", "\n", " if saving:\n", " my_saving_display(fig1, dirname, figname, imageformat, saving=saving)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BMl6lkahduza2b9+O5cuXo3379lAqlQDyx4ptbW0FV1dys3pIOHjuDkL+uYRX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\nlAb9Ko8GpQAAAABJRU5ErkJggg==\n", 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YQOVYsZmZmeDq7k+hUODbcZ44eikPn+45g/4dHTDGo73oskhHpaamQpIkmJub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\nwbgiBmmF8ePHY8iQIaioqFC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MydXz+1FD6K5IOMOFa5kANKlemfEdDU1vrHlpyNgkgIXJBQQEsG/f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\n9/KH/axZ7D3h8sK64D8Zu2H4YoRhuBF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RsmVLZsyYIZu+ixKZEawyZ9dp2tR1YOsEPxwrGy58dTodK1euxMvLi+HDhxdu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\nT+f06dO0bt0agKysLM6ePYu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YHuILGwvDuNjiYbgqMhHpvdzCYgSui4Uqvxi/TOmNDs2ayF2SVrAFTER6TZIkvLY9CYnX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\nSUVORK5CYII=\n", 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quantiles = [0.01, 0.05, 0.25, 0.50, 0.75, 0.95, 0.99]\n", "\n", "for q in quantiles:\n", " plot_data_statistics(x, quantile_loss, q, \"quantile_%d\" % (100 * q))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8OOEGfPS1c/1IiOqYtyGdN9Ye4ItR0cR1blKtYx07doy4uDiAdqqqHnF0P5lM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\nNGmAevYKY5ft5PjLA2vstfx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q = 0.3\n", "x = np.linspace(-3, 3, 500)\n", "pin = np.maximum(q * x, (q - 1) * x)\n", "fig_MM = plt.figure(figsize=(5, 5))\n", "plt.plot(x, pin,c=c0, lw=2)\n", "x0 = 2\n", "plt.plot(x, pin,c=c0, lw=2, label=r'$\\ell_\\alpha, \\alpha= {:.2f}$'.format(q))\n", "if x0 > 0:\n", " plt.plot(x, 1. / (4. * x0) * (x - x0) ** 2 + q * x, '--', c=c0, lw=2,\n", " label='Quadratic Majorant')\n", "plt.legend()\n", "plt.show()\n", "my_saving_display(fig_MM, dirname, 'quad_MM', imageformat, saving=saving)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Example from the Statsmodel:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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incomefoodexp
0420.157651255.839425
1541.411707310.958667
2901.157457485.680014
3639.080229402.997356
4750.875606495.560775
\n", "
" ], "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": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Extracted from the statsmodel example\n", "# http://www.statsmodels.org/stable/examples/notebooks/generated/quantile_regression.html\n", "data = sm.datasets.engel.load_pandas().data\n", "data.head()\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " q a b lb ub\n", "0 0.05 124.880099 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 74.033433 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", "10 0.50 81.482256 0.560181 0.534222 0.586139\n", "{'a': 147.47538852370573, 'b': 0.48517842367692354, 'lb': 0.4568738130184233, 'ub': 0.5134830343354237}\n" ] } ], "source": [ "mod = smf.quantreg('foodexp ~ income', data)\n", "quantiles = np.arange(.05, .96, .1)\n", "quantiles=np.append(quantiles,0.5) # adding the LAD estimator at the last position\n", "def fit_model(q):\n", " res = mod.fit(q=q)\n", " return [q, res.params['Intercept'], res.params['income']] + \\\n", " res.conf_int().loc['income'].tolist()\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(a = ols.params['Intercept'],\n", " b = ols.params['income'],\n", " lb = ols_ci[0],\n", " ub = ols_ci[1])\n", "\n", "print(models)\n", "print(ols)\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6lT/+8Y9UV1f3eJa9HEjv3btHdnY2er2erKwsmpubkSSJ2msPyPs/h6i5XGC+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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", "nb_quantiles = models.shape[0]-1\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "ax.set_xlim((240, 3000))\n", "ax.set_ylim((240, 2000))\n", "ax.set_xlabel('Income', fontsize=16)\n", "ax.set_ylabel('Food expenditure', fontsize=16);\n", "ax.scatter(data.income, data.foodexp, alpha=.2)\n", "my_saving_display(fig, dirname, \"quantile_regression_raw\", imageformat,saving=saving)\n", "\n", "\n", "y = get_y(ols['a'], ols['b'])\n", "ax.plot(x, y, color=color_blind_list[2], label='OLS')\n", "\n", "y = get_y(models.a[nb_quantiles], models.b[nb_quantiles])\n", "ax.plot(x, y, color=color_blind_list[3], label='LAD')\n", "legend = ax.legend()\n", "\n", "my_saving_display(fig, dirname, \"quantile_regression_OLS_LAD\", imageformat,saving=saving)\n", "\n", "for i in range(nb_quantiles):\n", " y = get_y(models.a[i], models.b[i])\n", " ax.plot(x, y, linestyle='dotted', color='grey')\n", "\n", "\n", "my_saving_display(fig, dirname, \"quantile_regression\", imageformat,saving=saving)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Robustness to $y$ outliers" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CNwAAk1wRI81FjoYGiqorLsN4jLQ2O0qctuY87+dzb8/ShvcfdVPnorkz6v9t16Xf/+wO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\nNGKa9jtrBlhX14FgOvOo9Vl0qURSe8u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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# simple data\n", "np.random.seed(24)\n", "x = np.arange(20, 1000, 5)\n", "y = np.log10(x) + np.sqrt(x) / 10. * np.random.rand(len(x))\n", "fig1 = plt.figure(figsize=(12, 6))\n", "plt.xlim(0, 1000)\n", "plt.ylim(1,15)\n", "plt.scatter(x, y, marker='x')\n", "my_saving_display(fig1, dirname, \"quantile_data\", imageformat,saving=saving)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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41.83041240.01.602060
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" ], "text/plain": [ " y x log10x\n", "0 1.730363 20.0 1.301030\n", "1 1.747696 25.0 1.397940\n", "2 2.024771 30.0 1.477121\n", "3 1.674262 35.0 1.544068\n", "4 1.830412 40.0 1.602060" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame(np.vstack([y, x, np.log10(x)]).T, \n", " columns=['y', 'x', 'log10x'])\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def predict_log_example(df, model):\n", " return model[\"intercept\"] + df['x'] * model[\"x\"] + np.log10(df['x']) * model[\"log10x\"]\n", "\n", "\n", "def fit_log_example(df, quantiles, title, plot=True):\n", " mod = smf.quantreg('y ~ x + log10x', df)\n", "\n", " def fit_model(q):\n", " res = mod.fit(q=q)\n", " return [q, res.params['Intercept'], res.params['x']] + \\\n", " [res.params['log10x']]\n", "\n", " models = [fit_model(q) for q in quantiles]\n", " models = pd.DataFrame(models, columns=['q', 'intercept', 'x', 'log10x'])\n", " models.set_index('q', inplace=True)\n", "\n", " if plot:\n", " fig_qt = plt.figure(figsize=(12, 6))\n", " for q in quantiles:\n", " plt.plot(x, predict_log_example(df, models.loc[q]),\n", " label=r'$q = {0}\\%$'.format(int(100 * q)))\n", " plt.scatter(df['x'], df['y'], marker='x')\n", " plt.xlim(0, 1000)\n", " plt.ylim(1,15)\n", " plt.legend()\n", " plt.show()\n", " my_saving_display(fig_qt, dirname, title, imageformat, saving=saving)\n", " return models" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RaLQoJO/duxepVKooaKvHezwebdvn8yGVSsHj8UCSJESjUezZs8f8F1IjBm4i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\nh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quantiles = [0.05, 0.10, 0.25, 0.5, 0.75, 0.90, 0.95]\n", "\n", "models = fit_log_example(df, quantiles,\"quantile_normal_case\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# randomly corrupt the data above the 0.95 quantile\n", "df_outliers = df.copy()\n", "last_quantile = y > predict_log_example(df_outliers, models.loc[0.95])\n", "df_outliers.loc[last_quantile, 'y'] += 5 + np.random.rand(last_quantile.sum())\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/jo/anaconda3/lib/python3.6/site-packages/statsmodels/regression/quantile_regression.py:193: IterationLimitWarning: Maximum number of iterations (1000) reached.\n", " \") reached.\", IterationLimitWarning)\n" ] }, { "data": { "image/png": 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jUlDOEqo5do6IClVM4G5B4kbJJHoAn41E+C6UJEnHs+y2TuC6qpaiKAgGgylT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2lzmRE44mmV50a6eXLIJNjPjiwnlHTnnFuOyAJ85roNfOC8TuKjs2hjIeITc2jjIVKh6uI0jEqB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\nl4bPpZLl1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "models_outliers = fit_log_example(df_outliers, quantiles,\"quantile_outlier_case\")" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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interceptxlog10x
qoutlier
0.0500False0.0880-0.00011.0286
True0.0880-0.00011.0286
0.1000False0.36850.00020.9070
True0.40560.00030.8829
0.2500False-0.21550.00021.2725
True-0.21550.00021.2725
0.5000False-0.25870.00061.4240
True-0.25870.00061.4240
0.7500False-0.33290.00101.5706
True-0.30450.00101.5564
0.9000False-0.40190.00151.6127
True-0.40190.00151.6127
0.9500False-0.56390.00131.7436
True4.36730.00081.8829
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" ], "text/plain": [ " intercept x log10x\n", "q outlier \n", "0.0500 False 0.0880 -0.0001 1.0286\n", " True 0.0880 -0.0001 1.0286\n", "0.1000 False 0.3685 0.0002 0.9070\n", " True 0.4056 0.0003 0.8829\n", "0.2500 False -0.2155 0.0002 1.2725\n", " True -0.2155 0.0002 1.2725\n", "0.5000 False -0.2587 0.0006 1.4240\n", " True -0.2587 0.0006 1.4240\n", "0.7500 False -0.3329 0.0010 1.5706\n", " True -0.3045 0.0010 1.5564\n", "0.9000 False -0.4019 0.0015 1.6127\n", " True -0.4019 0.0015 1.6127\n", "0.9500 False -0.5639 0.0013 1.7436\n", " True 4.3673 0.0008 1.8829" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.options.display.float_format = '{:,.4f}'.format\n", "models[\"outlier\"] = False\n", "models_outliers[\"outlier\"] = True\n", "\n", "res = pd.concat([models, models_outliers])\n", "res.set_index([res.index, 'outlier'], inplace=True)\n", "res.sort_index(inplace=True)\n", "res # see how only the 0.95 quantile values are strongly impacted" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 2 }