{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# M-Estimators for Robust Linear Modeling" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:18.935379Z", "iopub.status.busy": "2022-11-02T17:06:18.932686Z", "iopub.status.idle": "2022-11-02T17:06:19.430944Z", "shell.execute_reply": "2022-11-02T17:06:19.430265Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:19.434927Z", "iopub.status.busy": "2022-11-02T17:06:19.434378Z", "iopub.status.idle": "2022-11-02T17:06:20.199994Z", "shell.execute_reply": "2022-11-02T17:06:20.199314Z" } }, "outputs": [], "source": [ "from statsmodels.compat import lmap\n", "import numpy as np\n", "from scipy import stats\n", "import matplotlib.pyplot as plt\n", "\n", "import statsmodels.api as sm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* An M-estimator minimizes the function \n", "\n", "$$Q(e_i, \\rho) = \\sum_i~\\rho \\left (\\frac{e_i}{s}\\right )$$\n", "\n", "where $\\rho$ is a symmetric function of the residuals \n", "\n", "* The effect of $\\rho$ is to reduce the influence of outliers\n", "* $s$ is an estimate of scale. \n", "* The robust estimates $\\hat{\\beta}$ are computed by the iteratively re-weighted least squares algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* We have several choices available for the weighting functions to be used" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.204189Z", "iopub.status.busy": "2022-11-02T17:06:20.203597Z", "iopub.status.idle": "2022-11-02T17:06:20.206850Z", "shell.execute_reply": "2022-11-02T17:06:20.206305Z" } }, "outputs": [], "source": [ "norms = sm.robust.norms" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.209828Z", "iopub.status.busy": "2022-11-02T17:06:20.209387Z", "iopub.status.idle": "2022-11-02T17:06:20.213373Z", "shell.execute_reply": "2022-11-02T17:06:20.212845Z" } }, "outputs": [], "source": [ "def plot_weights(support, weights_func, xlabels, xticks):\n", " fig = plt.figure(figsize=(12, 8))\n", " ax = fig.add_subplot(111)\n", " ax.plot(support, weights_func(support))\n", " ax.set_xticks(xticks)\n", " ax.set_xticklabels(xlabels, fontsize=16)\n", " ax.set_ylim(-0.1, 1.1)\n", " return ax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Andrew's Wave" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.216387Z", "iopub.status.busy": "2022-11-02T17:06:20.215951Z", "iopub.status.idle": "2022-11-02T17:06:20.219900Z", "shell.execute_reply": "2022-11-02T17:06:20.219359Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Andrew's wave weighting function for the IRLS algorithm\n", " \n", " The psi function scaled by z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = sin(z/a)/(z/a) for \\|z\\| <= a*pi\n", " \n", " weights(z) = 0 for \\|z\\| > a*pi\n", "\n" ] } ], "source": [ "help(norms.AndrewWave.weights)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.222766Z", "iopub.status.busy": "2022-11-02T17:06:20.222336Z", "iopub.status.idle": "2022-11-02T17:06:20.423774Z", "shell.execute_reply": "2022-11-02T17:06:20.422993Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 1.339\n", "support = np.linspace(-np.pi * a, np.pi * a, 100)\n", "andrew = norms.AndrewWave(a=a)\n", "plot_weights(\n", " support, andrew.weights, [\"$-\\pi*a$\", \"0\", \"$\\pi*a$\"], [-np.pi * a, 0, np.pi * a]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hampel's 17A" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.429480Z", "iopub.status.busy": "2022-11-02T17:06:20.428219Z", "iopub.status.idle": "2022-11-02T17:06:20.434820Z", "shell.execute_reply": "2022-11-02T17:06:20.434228Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Hampel weighting function for the IRLS algorithm\n", " \n", " The psi function scaled by z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = 1 for \\|z\\| <= a\n", " \n", " weights(z) = a/\\|z\\| for a < \\|z\\| <= b\n", " \n", " weights(z) = a*(c - \\|z\\|)/(\\|z\\|*(c-b)) for b < \\|z\\| <= c\n", " \n", " weights(z) = 0 for \\|z\\| > c\n", "\n" ] } ], "source": [ "help(norms.Hampel.weights)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.439392Z", "iopub.status.busy": "2022-11-02T17:06:20.438282Z", "iopub.status.idle": "2022-11-02T17:06:20.604045Z", "shell.execute_reply": "2022-11-02T17:06:20.603331Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 8\n", "support = np.linspace(-3 * c, 3 * c, 1000)\n", "hampel = norms.Hampel(a=2.0, b=4.0, c=c)\n", "plot_weights(support, hampel.weights, [\"3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Huber's t" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.609685Z", "iopub.status.busy": "2022-11-02T17:06:20.608459Z", "iopub.status.idle": "2022-11-02T17:06:20.615034Z", "shell.execute_reply": "2022-11-02T17:06:20.614429Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Huber's t weighting function for the IRLS algorithm\n", " \n", " The psi function scaled by z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = 1 for \\|z\\| <= t\n", " \n", " weights(z) = t/\\|z\\| for \\|z\\| > t\n", "\n" ] } ], "source": [ "help(norms.HuberT.weights)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.619810Z", "iopub.status.busy": "2022-11-02T17:06:20.618659Z", "iopub.status.idle": "2022-11-02T17:06:20.805183Z", "shell.execute_reply": "2022-11-02T17:06:20.804490Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = 1.345\n", "support = np.linspace(-3 * t, 3 * t, 1000)\n", "huber = norms.HuberT(t=t)\n", "plot_weights(support, huber.weights, [\"-3*t\", \"0\", \"3*t\"], [-3 * t, 0, 3 * t])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Least Squares" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.811240Z", "iopub.status.busy": "2022-11-02T17:06:20.810936Z", "iopub.status.idle": "2022-11-02T17:06:20.817595Z", "shell.execute_reply": "2022-11-02T17:06:20.816796Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " The least squares estimator weighting function for the IRLS algorithm.\n", " \n", " The psi function scaled by the input z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = np.ones(z.shape)\n", "\n" ] } ], "source": [ "help(norms.LeastSquares.weights)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.821683Z", "iopub.status.busy": "2022-11-02T17:06:20.821405Z", "iopub.status.idle": "2022-11-02T17:06:20.976180Z", "shell.execute_reply": "2022-11-02T17:06:20.975327Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "support = np.linspace(-3, 3, 1000)\n", "lst_sq = norms.LeastSquares()\n", "plot_weights(support, lst_sq.weights, [\"-3\", \"0\", \"3\"], [-3, 0, 3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ramsay's Ea" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.980477Z", "iopub.status.busy": "2022-11-02T17:06:20.980210Z", "iopub.status.idle": "2022-11-02T17:06:20.985688Z", "shell.execute_reply": "2022-11-02T17:06:20.984970Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Ramsay's Ea weighting function for the IRLS algorithm\n", " \n", " The psi function scaled by z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = exp(-a*\\|z\\|)\n", "\n" ] } ], "source": [ "help(norms.RamsayE.weights)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:20.989454Z", "iopub.status.busy": "2022-11-02T17:06:20.989218Z", "iopub.status.idle": "2022-11-02T17:06:21.153990Z", "shell.execute_reply": "2022-11-02T17:06:21.150098Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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KV7bviSdWt09zXf+Wq3ATBvVvj4RJFVZDhreobWqOJ9e0L9L37Ia6aDlitfv+vXLj8vHlMW9iufuwAboJUQ3ASbG/5XAsXl8XT6yujifX1ETd3pb0sdzsrJg5qjh9ta2y2P3RcCL2txyOZ9fXxROr2v9d1e/L/Hd14YjimDepIq6aWBHDS/y7AugKohqAxGoaD8bCNTXxxKrqWLyhLmP/6P4FuXH5hI4rauPKo6iPK2rwbrzTDJBxFf1i3sSKuHJiRZxfOcAMEIDTRFQDcMJSqVSsrW6KJ1ZVx+Ora+JP2/dkHB82sP3ez6smVcSFI4ojP9e9n3CqbK3fF0+sbv9Qa9mWXRlrFZT2y48rjliroE9+bheOFODMJqoBeFuHWtti2eZd6YXGXtt9IOP41MoBcdXE8pg3ySrF0FUa9h+KRetq4onVNbFoTU00HbGqfkFudlwypjSunFgRV04sj4rCXl04UoAzj6gG4CgNBw7ForUdb9DX1kTTwaPfoM+bVBFXTiiPcm/QoVtpOdwWL27ZFU+sbl9N/KgPwoYVpRcKnDDIB2EA75aoBiAiIrbv2p++Gr1s8644fMRU0pK++XHlRFNJoadJpVKxrnpv+33Yq6vjle17MrbrGjqgd8zrmGkyc2SJWzYAEhDVAGeptrZU/Om1NxY9qom11U0Zx8eW94t5k9pX655WOSByLHoEPV5N08F4ak1NPL6qJhZvqI2Dh95cXLBfQW5cNq4s5k0qj7njy2NAn/wuHClAzyGqAc4i+5rbt+d5ck11PLmmNur2NqeP5WRnxYUjBqa3vRpR2rcLRwqcagdaWmPJxrqOq9g1UduU+fNg+jkD46pJ7auJj/TzAOC4RDXAGW77rv3x5JqaWLimJp7fWB8trW+5MjW+LK6aWBGXjy9zZQrOUm1tqfjz6w2xsOM+7DVVmTNXRpf17VhHoSLeM3xA5OaYJg7wBlENcIZp38t2dzyxuiaeXH30tO7hxX3iyonlceWEipgx0rZXwNG279ofC1dXt38Yt6k+DrW++TZwQJ+8uHxcWVwxsSIuG1tmD3rgrCeqAc4AjQcPxbPr6mLh6up4am1N7N5/KH0sOyti+jnF7SE9sTxGl/Wz2i9wwhoPHopn1tXGE6uqY9G62thzxM+XN6aJXzmxPK6YUBGjy/r6+QKcdUQ1QA+1pW5fLFxTEwuPsVp3Ya/cuGx8ecybWB6XjTOtGzg5WttS8cdtu2PhmmPPhDmnpE9cMcFMGODsIqoBeojDrW3x0tbd8eSamnhidXVsqt2XcXxUWd+4ckJ5XDmxIi44Z2DkuecROMW279ofT3XsaX+sNRvmjC2NKyaUx9wJ5VHar6ALRwpw6ohqgG5sz/6WeHpdbSxcXROL1tZE48HD6WO52VkxY2Rx+1Uhq/MCXWxf8+FYvKEunlxdE0+uzVxNPCsrYlrlgLhyQvs08YmD+5smDpwxRDVAN5JKpWJj7d5YuLp9te6Xt+6O1iOmdQ/skxdzx7dH9JxxpVHYywJBQPfT1paKFTsaYuHqmnhyTU28+npDxvHBRb06PhAsj9mjS6NXXk4XjRTg3RPVAF2s5XBbLNu8KxauqY6Fq2ti2679GcfHV/SPKya23x89rXJg5GS7ugP0LNWNB+Opjq39Fq+viwOHWtPHeuVlx8WjS+OKieVxxYTyGFzUuwtHCtB5ohqgC9TvbY6n1tbGk2uq45l1dbG3+c1p3fk52XHR6JKOaZLlUVncpwtHCnByHTzUGs9vqk9fxX59z4GM45MGF3asJl4eU4cNiGwfJALdnKgGOA1SqVSs2tkYT61pfxP5x+174sifqqX9CuKKCWVxxYSKmDO2NPoW5HbdYAFOk1QqFWurm9KBvXzb7rf8bMzvuOWlPC4ZWxb9/GwEuiFRDXCK7G0+HIvX18WitTXx1NqaqG5szjg+eUhh+9XoiRVx3tAiV2OAs96ufS2xaG37NPFn1tZG0xGzePJysuKiUSVxRccsnnNKLM4IdA+iGuAk2lS7N55cUxOL1tbGC5vr41Drmz86e+flxMVjSmLuBPcNAryTQ61t8eKWXe2ria+piU11R28jOHd8+8/TC0fYExvoOqIa4F04eKg1lm3e1RHSNbGlPnORseHFfdJ7tM4cWWyFW4CE3vjQcuHqmnhxy644fMTOCH3zc+LiMe17Yl8+vjwGFfXqwpECZxtRDdBJOxsOxFNrauPJNTXx3IbMVWzzctr3jp47vj2kR5X2tRcrwEnWePBQPLe+Lp5aWxNPra3N2BM7ImLi4MK4YkJZzB1fHucPt2sCcGqJaoB3cLi1Lf64fU96kbE1VU0Zx8v7F6Qj+pKxpRbSATiN2traF4J8ck37+hWvvGUhyAF98uLSsWUxd0JZXDauPIr75nfdYIEzkqgGOIZd+1ri6XU18dSa2nh6XW00HDiUPpaVFXF+5YB0SE8eUuhqNEA38U4/v6dVDogrOn5+TxpcaJFI4F0T1QDRvq3Lyh0dW14d40pHUe+8uGycKx0APcnh1rZ4ZfueeGptTTy5pjZW72zMOF7WvyDmjm+fJn7J2NLo3yuvi0YK9GSiGjhrtW95VRtPramNp9bWRM1b7smbMKh/epGx8ysHRG6OlWUBerKqhoPt92GvqYnFG+pif8uba2LkZmfFhSOKY27HvdhjyvuZhQScEFENnDVSqVRsqtsXT3Xcd7ds865jbHlV2hHSZba8AjiDNR9ujRc37+5Y7KwmNtVmbtk1bGDvjtt8ymLWqNLonW/3BuDYRDVwRjt4qDVe2LwrHdJb37Ll1YiSPjF3QnnMHV8eM0cVR0GuN00AZ6Mtdfti0dqaeHJtbTy/qT5aDreljxXkZses0SXtH7qOL4/K4j5dOFKguxHVwBnnjTdGi9a1vzE6eOjNN0Z5OVkxc2RJR0iXxaiyfl04UgC6o/0th2PJhvr0VPEdDQczjo8u65sO7OkjiiM/1+1BcDYT1UCPd/BQayzdVB9Pr62NRWtrYstbrkYPKuwVl48vi7kTyuPiMba8AuDEpVKpWFe9t2Oxs5p4eevuaG17821xv4LcuHhMSVw2rjwuH18WQwa4dQjONqIa6JE2v3E1umOaXvMR0/Rys7Ni+oiBcfn48rhsXFlMGNTfYjMAnBQNBw7F4vV18eSamnh6XU3U7W3JOD6uol/698/0EQPdVgRnAVEN9AgHWlrj+U316Wndb703enBR+9Xoy8aVx8VjSmyLAsAp19aWildfb4in17XPlHpl+5444iJ29MnPidmjS+Oy8WVx+bgy92LDGUpUA91SKpXquBpdm743+shFY/JysmL6OcVx+fiyuHx8eYyrsPUJAF1rz/6WeHZ9XSxaWxtPr6uNur2ZWzWOLuubvoo9Y2Rx9MpzFRvOBKIa6DYOtLTG0k3tb0YWra2Nbbsyr0YPKeoVl41vv2fNvdEAdGdtbalYtbMxfRV7+bY9Gfdi987LiVmjS+KycWVx+fiyOKekbxeOFng3RDXQZd7YN3pRxwJjL2zeddTV6BkjizvecJTH2HJXowHomRoOHIrnNtTForU18fS62qhuzLyKPbK0b1w2riwuG18Ws0aVuIoNPYioBk6rN7YpWbSu/U3F9l0HMo4PHdA7PaV79uiS6OtqNABnmFQqFWuqmtIfKr+8dXccPuIqdkFudlw06s2r2CNL+/pQGboxUQ2cUqlUKjbW7k1P6V62eVe0tL55NTo/JztmjHzj3uiyGF3majQAZ5emg4fiuQ318fS69l0tdr5lX+zhxX3SgT1rdEn0yfeBM3Qnoho46fY1H44lG+vTW169vifzavSwgR1Xo8eVxyxXowEg7Y19sd8I7Be37IpDrW++Dc/PyY6Zo4rTke3DaOh6ohp411Kp9sVYnllXF8+sq42Xtr7dG4DyGF1mGhsAnIi9zYdj6dt8UD10QO/0ll2zLeIJXUJUA4nU722OxRvq4ul1tfHMurqjtg2pLO4dl48rN1UNAE6S9luq9qUXO3thU+YtVW9sN3npuLK4bFxZTBzc34fYcBqIauCEHGptiz9u2xPPrKuNZ9bXxquvN8SRPxX65OfErFEl6V/kI0ptDQIAp9L+lsPx/Kb6425FWda/IOaMLY3LxpXFJWNKo6RfQReNFM5soho4ru279scz62vjmXW1sWRDfTQ1H844PnFwYVw6rjQuG1sWF4wYGAW5tv8AgK6QSqVic92+jg+/62Lpxvo4cKg1fTwrK2LKkKK4dFxpXDq2LN5zzsDIy8nuwhHDmUNUA2kHWlrj+U317VO619fGptp9GccH9smLOWPL4tJxZXHp2NIoL+zVRSMFAN5O8+HWeGnL7nhmXW08va421lQ1ZRzvV5Abs0Z3zDAbWxbDS/p00Uih5xPVcBZLpVKxtrqp/VPtdXWxbMuuaDn85r1ZOdlZ8Z7hA+LSsWVx2fiymDKkKLKz3ZsFAD1NTePBeGZ9+4KiizfUxa59LRnHR5T0Sd/CddEoO3NAZ4hqOMvs2d8Sz3b8Un1mfW1UN2YuMDZ0QO+OX6qlMXtMaRT2yuuikQIAp0JbWypW7GhIf6i+fNvuONz25lv9Ixc8u3RcaUwaXGjBM3gbohrOcIdb2+JPrzV0rNJdG39+bU8c8XszeuVlx0WjSuLSjmndtrsCgLNL08FDsWRjffoD9+27MrftKu1XEJeOLY1Lx5XFJWNLo9SCZ5BBVMMZaGfDgfQ9VIvX10XjwcwFxsZX9G9fqGRcWVw4ojh65VlgDABovzVsS/3+jqvYtbF0U33sb2nNOGfK0ML0h/EXWPAMRDWcCQ4eao1lm3elr0avr9mbcbyod15cMrZ9le4540pjcFHvLhopANCTNB9ujZe37u54j1EXq3c2Zhzvm58Ts0aXxmUdH9afU2JLTc4+ohp6oFQqFWuqmuLZ9bXx7Pq6WLZ5VzQfscBYdlbEtMoBHfdClcXUYQMixwJjAMC7VNN0MJ5dVxfPdLwHOd6CZ5eOLYtZoy14xtlBVEMPUdN4MBZvqItn19fF4g11UduUucDYoMJecVlHRF88piQG9MnvopECAGeDtrZUrNzRGM+sb7/lbPnWoxc8u+CcgTFnbFnMGVtqFxHOWKIauqkDLa2xbMuuWNzxSfBb95fsnZcTF40qTv+iGlPezwJjAECXaTp4KJZurI9n1rdPFd+2a3/G8YF98mL2mNK4dGxpXDK2LIYOcDsaZwZRDd1EW1sqVlc1tl+JXn/0ntFZWRHnDi2KS8aUxpyxZfGecwZEQa4FxgCA7mlL3b70NPGlG+tjb3PmwqmjyvrGnDHtgX3RqOLobxtPeihRDV2ouvFgPLu+Lp5dXxvPbaiLur2Z9yUNKeoVc8a2b19x8ZjSKO5rSjcA0PMcam2LP23fE8+sr4vF62vjle2ZW3zmZmfF+cMHpN/3nDe0KHKtKk4PIarhNNrfcjhe2LwrFneE9LrqzFW6++TnxKxRJTGnY1qUPaMBgDNRw4H2qeKLN7Rfyd5anzlVvLBXbsweXRqXjC2NS8eWxfCSPl00UnhnohpOoba2VKza2b6Ax+L1dfHSlt3R0po5pfu8oUXpT2XfM3xg5Of6VBYAOLtsq98fz25of7/03Ia6aDyYOVV8eHGfmDO2NOaMLY1Zo0ujqLep4nQfohpOsp0NBzqmdLf/UnjrVhNDB/Tu+KVQFrNHl8RAU7oBANJa21Lx59f2pNeZWb4tc1Xx7KyIqZUDYs6Y0pgzriymVQ6IPFPF6UKiGt6lfc2H44XN9emQ3lCTOaW7b35OzBpdmv50dWSpKd0AACdqb/PheH5jfSze0L4/9qbafRnH+xXkxkUdt895r0VXENXQSa1tqVi5oyG9wNjLW3fHodbMT0/PGzYgvV3E+cN9egoAcLK8vudAesvR5zbUxe79hzKOvzEr8JKxpXHx6FKzAjnlRDW8g1QqFdt27Y/FG9p/cC/ZWB973vLDe9jA3jFnbFlcOrY0Zo8ujaI+7vMBADjV2tpSsXLHEevXbN2VcbHDlqScDqIajqF+b3Ms2Vgfz22oi8Ub6uK13QcyjvcvyI2LRpfEpR33Rp9T0sc0IwCALvZOO630zsuJmaOK45Ix7duVjq/oH9nZ3sPx7ohqiIgDLa2xbMuu9oheXxerdjZmHM/LyYrzhw+MOWNK42J7JwIA9AhVDQdj8Yb2vbEXb6iLur2ZC8iW9stv37prTGnMHlMSwwbauovOE9Wcld5YVfKNK9HLt+7J2OoqImLCoP7tn2KOLY0ZI4qjb0FuF40WAIB3q60tFWuqmtLv/5Zt3hUHDrVmnDOipE9cPKY9smeNLokBfdyPzTsT1ZwVUqlUbK7bl/4humRjfTS9Zf/DIUW92he0GNN+X3RZ/4IuGi0AAKda8+HW+OO2PbGk4/3hn15riNa2o+/HvnhM+4Jn00cMjF557sfmaKKaM1ZtU3Ms2dg+nfu5DXWxo+FgxvHCXrkxe3T7lehLxpTGCPdFAwCctRoPHooXNrXfDvjchrpY/5ZtUvNzs+PCEQPTV7InDymKHPdjE6KaM8i+5sOxbPOu9Crda6qaMo7n52TH9CN+EE4Z6gchAADHVt14MD3L8bkNdVHd2JxxvKh3XsweXRKzx7hAc7Y7pVF93333xbe//e2oqqqKqVOnxg9/+MOYMWPGcc+/55574v77749t27ZFaWlpfOADH4j58+dHr169TuqL4cxwqLUt/vzanli8vn2V7uXbdsfht0zZmTykMB3R088pjt75puwAANA5qVQqNtbujec21MfiDXXx/Mb6aGrOvJVw6IDecfGYErcSnoVOWVQ/9NBDceONN8YDDzwQM2fOjHvuuSd+/etfx9q1a6O8vPyo8x988MH4+Mc/Hv/+7/8es2fPjnXr1sXHPvax+NCHPhTf/e53T+qLoWd644fZsx3TuZ/ftCv2vuWHWWVx77hkTFl6cYnivhaXAADg5Drc2hZ/fr0hnlvfsejttt0Z+2NHtC96+8bFnRkjLXp7JjtlUT1z5sy48MIL4957742IiLa2tqisrIzPf/7zcfvttx91/uc+97lYvXp1LFy4MP3Y3/3d38ULL7wQixcvPqkvhp6jquFg+33Rx5l2M6BPXlw8ujT9A2t4iW0QAAA4vfa3HI4Xt+w+7vasudlZ8Z7hHbchji2J84YNiDzbs54xTrRDO/WxSktLS7z88stxxx13pB/Lzs6OefPmxdKlS4/5nNmzZ8fPf/7zWLZsWcyYMSM2bdoUDz/8cHz0ox897vdpbm6O5uY3I6uxsfG459Iz7N7XEs9vqo8lG+vjuY11sal2X8bxgtzsmDGyOB3RkwYXRrb7ogEA6EJ98nPjsnFlcdm4soiIqN/b3P5+tuOe7Nd2H4hlW3bFsi274ntPRPTNz4mLRpV0RHZpjC3v537ss0Cnorquri5aW1ujoqIi4/GKiopYs2bNMZ/zV3/1V1FXVxeXXHJJpFKpOHz4cHz605+OO++887jfZ/78+fG1r32tM0Ojm9nXfDiWbdkVSzq2uVq1szGOnBORfcRWBpeMKY33nGMrAwAAureSfgVx3dQhcd3UIRERsa1+f3rm5XMb62LP/kOxcE1NLFxTExERpf0K2hc9G10Ss0ebfXmm6tT07x07dsTQoUNjyZIlMWvWrPTj//AP/xBPP/10vPDCC0c9Z9GiRfGhD30ovv71r8fMmTNjw4YNccstt8Rf//Vfx1133XXM73OsK9WVlZWmf3djzYdbY/nWPbF0Y3tEv7J9T8biYhER4yr6xezRpTF7dEnMHFUSRb3zumi0AABwcrW1pWLVzsb0VewXt+yKg4faMs4ZNrB3OrBnjS6JisITW7iZrnFK7qluaWmJPn36xG9+85u4/vrr04/fdNNNsWfPnvj9739/1HPmzJkTF110UXz7299OP/bzn/88PvWpT8XevXsjO/ud7zlwT3X3c7i1LVbsaIwlG+tiyYb6eHHLrmg+nPlDo7K4d1zc8QNj1uiSKO/vhwYAAGeH5sOt8cdte2LJxvpYurEu/rjt6ItOY8r7pa9kXzSqJAb0sRhvd3JK7qnOz8+PCy64IBYuXJiO6ra2tli4cGF87nOfO+Zz9u/ff1Q45+S0T/PtAVtk0yGVSsW66r3xXMd07hc210fTwcwVusv6Z05vqSw2vQUAgLNTQW77/dUXjSqJuGpc7Gs+HC9u2RVLN7avM7RiR0NsqNkbG2r2xs+Wbk1vG/vGVewZI6ws3lN0+r/SbbfdFjfddFNMnz49ZsyYEffcc0/s27cvbr755oiIuPHGG2Po0KExf/78iIi47rrr4rvf/W6cf/756enfd911V1x33XXpuKb7SaVSsX3XgXiuYzr30o11Ube3JeOcwl656YUYZo8uiTEWYgAAgGPqW5Abl48vj8vHt29D3LD/UCzdVJ++fXJ9zd5Y8XpjrHi9Mf7tmU2Rm50V0yoHxOzRJTFrdGmcP3yANYi6qU5H9Q033BC1tbVx9913R1VVVUybNi0WLFiQXrxs27ZtGVemv/zlL0dWVlZ8+ctfjtdffz3Kysriuuuui3/6p386ea+Ck6K68WAs7VjNcMnG+nh9z4GM473ysuPCEcXpiJ48pChyrNANAACdVtQnL66dMiiunTIoIiJqGg/G0k31sWRDfSzZVBfbdx2Il7bujpe27o4fPLkhCnLb34vP6pgZeu7Qosi1fVe30Ol9qruCe6pPjT37W+L5Tbva74veWB8bavZmHM/LyYrzKwem/+FOGz4gCnJ9OgYAAKfa9l370+/Tl2ysj9qm5ozj/QtyY+ao4pjVsRDw+Ir+tqQ9yU7JQmVdRVSfHPtbDseyze33cTy3sS5W7sjc5iorK2LKkKL2e6LHlMaFIwZGn3z3cQAAQFdKpVKxsXZvPLehPpZsrIulG+uj8S3rG5X0zY+LjljfaERJH7dmvkuimjh4qH3FwTfu1Xhl+5441Hr0ioMXd9yncdGoYisOAgBAN9falorVO9t34nmuYyee/S2tGecMKeqVvoo9e0xJDC7q3UWj7blE9Vmo5XBbvLJ9TyzdWB9LN9XF8m17ouUt21wNHdA7Lh5Tkt4vutzeeAAA0KO1HG6LP7/Wvn3Xcxvat+9qac3sgFGlfdNb3V40qiRK+xV00Wh7DlF9FjjU2hZ/fq0hnt9UH0s31sdLW4/eYL6sf0HMGtX+j+fi0aVRWdzbNBAAADiDHWhpjZe37m6/kr2xPl59bU+8ZYvsGFverz2yR5XEzFElUdzXjNW3EtVnoMOtbbFiR2PHlej6eOkY0zxK+ua374fX8Q9kdFlfEQ0AAGexxoOHYtmmXe1b5W6qj9U7G486Z8Kg/nFRx8W4i0aWRFGfvC4Yafciqs8Ab9wr8UZEv7h5VzQ1Zy5IMKBPXlw0siQ9lWOsvaIBAIC3sXtfS7ywuT6e39S+iPHa6qaM41lZERMHFaavZM8YVRyFvc6+yBbVPVBbWyrWVDV1LCxWH8s2H72qX2Gv3Jg5qv0+iFmjSmLCIEvnAwAAydXtbY4XNu2KpZvq4vlNu47aajc7K2LykKJ0ZF84sjj6FZz5uwSJ6h4glUrF+pq97VeiN9bHC5vrY/f+Qxnn9CvIjRkji9P3RU8cXBg5IhoAADhFapoOpq9iv7CpPjbV7cs4npOdFecOLUpPF59+zsDoewZGtqjuhtr3l9sXSzfVx/Mb6+P5TfVRv68l45w++Tlx4Yji9F/QKUMKIzcnu4tGDAAAnO2qGg6mF0d+fnN9bK3fn3E8Nzsrzhv2xpXs0rjgnIHROz+ni0Z78ojqbiCVSsXW+v3p6dzPb6qPmqbmjHN65WXH9HOK00vbnzesKPJENAAA0E29vudAPN+x7tPSjfXx+p4DGcfzcrJiWuWAmNWxgPJ7hg+MXnk9L7JFdRfZvmt/emGx5zfVx86GgxnH83Oz44LhA9NXoqdWFkVBbs/7CwYAABDR0UAds3GXHqeBzq8ckL4ne9rwAT2igUT1aba1fl/81Y9eOOanNOdXDkxvcXX+8AE98lMaAACAd5JKpWLbERcal248erZuQW52/O3lY+KWeWO7aJQn5kQ79My7m7yLDC7qHbv2tURudlZMrRwQF40qPqPuJwAAAHgnWVlZcU5J3zinpG98aMbwSKVSsblu3xG3xO6Kur3NUdz3zNmiy5Xqk+jPr+2J0WX9zsiV7wAAAN6t9sWb90Zx34Io7pvf1cN5W65Ud4Hzhg3o6iEAAAB0W1lZWTGmvH9XD+Okssw0AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCiaL6vvvuixEjRkSvXr1i5syZsWzZsrc9f8+ePfHZz342Bg8eHAUFBTFu3Lh4+OGHEw0YAAAAuovczj7hoYceittuuy0eeOCBmDlzZtxzzz1xzTXXxNq1a6O8vPyo81taWuKqq66K8vLy+M1vfhNDhw6NrVu3xoABA07G+AEAAKDLZKVSqVRnnjBz5sy48MIL4957742IiLa2tqisrIzPf/7zcfvttx91/gMPPBDf/va3Y82aNZGXl5dokI2NjVFUVBQNDQ1RWFiY6GsAAADAiTrRDu3U9O+WlpZ4+eWXY968eW9+gezsmDdvXixduvSYz/k//+f/xKxZs+Kzn/1sVFRUxJQpU+Ib3/hGtLa2Hvf7NDc3R2NjY8YfAAAA6G46FdV1dXXR2toaFRUVGY9XVFREVVXVMZ+zadOm+M1vfhOtra3x8MMPx1133RXf+c534utf//pxv8/8+fOjqKgo/aeysrIzwwQAAIDT4pSv/t3W1hbl5eXxb//2b3HBBRfEDTfcEP/f//f/xQMPPHDc59xxxx3R0NCQ/rN9+/ZTPUwAAADotE4tVFZaWho5OTlRXV2d8Xh1dXUMGjTomM8ZPHhw5OXlRU5OTvqxiRMnRlVVVbS0tER+fv5RzykoKIiCgoLODA0AAABOu05dqc7Pz48LLrggFi5cmH6sra0tFi5cGLNmzTrmcy6++OLYsGFDtLW1pR9bt25dDB48+JhBDQAAAD1Fp6d/33bbbfGjH/0ofvrTn8bq1avjM5/5TOzbty9uvvnmiIi48cYb44477kif/5nPfCZ27doVt9xyS6xbty7+8Ic/xDe+8Y347Gc/e/JeBQAAAHSBTu9TfcMNN0RtbW3cfffdUVVVFdOmTYsFCxakFy/btm1bZGe/2eqVlZXx6KOPxhe+8IU477zzYujQoXHLLbfEl770pZP3KgAAAKALdHqf6q5gn2oAAABOp1OyTzUAAADwJlENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKJovq+++6LESNGRK9evWLmzJmxbNmyE3reL3/5y8jKyorrr78+ybcFAACAbqXTUf3QQw/FbbfdFl/5yldi+fLlMXXq1LjmmmuipqbmbZ+3ZcuW+OIXvxhz5sxJPFgAAADoTjod1d/97nfjr//6r+Pmm2+OSZMmxQMPPBB9+vSJf//3fz/uc1pbW+O//bf/Fl/72tdi1KhR72rAAAAA0F10KqpbWlri5Zdfjnnz5r35BbKzY968ebF06dLjPu9//I//EeXl5fGJT3zihL5Pc3NzNDY2ZvwBAACA7qZTUV1XVxetra1RUVGR8XhFRUVUVVUd8zmLFy+OH//4x/GjH/3ohL/P/Pnzo6ioKP2nsrKyM8MEAACA0+KUrv7d1NQUH/3oR+NHP/pRlJaWnvDz7rjjjmhoaEj/2b59+ykcJQAAACST25mTS0tLIycnJ6qrqzMer66ujkGDBh11/saNG2PLli1x3XXXpR9ra2tr/8a5ubF27doYPXr0Uc8rKCiIgoKCzgwNAAAATrtOXanOz8+PCy64IBYuXJh+rK2tLRYuXBizZs066vwJEybEq6++Gq+88kr6z/ve976YO3duvPLKK6Z1AwAA0KN16kp1RMRtt90WN910U0yfPj1mzJgR99xzT+zbty9uvvnmiIi48cYbY+jQoTF//vzo1atXTJkyJeP5AwYMiIg46nEAAADoaTod1TfccEPU1tbG3XffHVVVVTFt2rRYsGBBevGybdu2RXb2Kb1VGwAAALqFrFQqlerqQbyTxsbGKCoqioaGhigsLOzq4QAAAHCGO9EOdUkZAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIQSRfV9990XI0aMiF69esXMmTNj2bJlxz33Rz/6UcyZMycGDhwYAwcOjHnz5r3t+QAAANBTdDqqH3roobjtttviK1/5SixfvjymTp0a11xzTdTU1Bzz/EWLFsWHP/zheOqpp2Lp0qVRWVkZV199dbz++uvvevAAAADQlbJSqVSqM0+YOXNmXHjhhXHvvfdGRERbW1tUVlbG5z//+bj99tvf8fmtra0xcODAuPfee+PGG288oe/Z2NgYRUVF0dDQEIWFhZ0ZLgAAAHTaiXZop65Ut7S0xMsvvxzz5s178wtkZ8e8efNi6dKlJ/Q19u/fH4cOHYri4uLjntPc3ByNjY0ZfwAAAKC76VRU19XVRWtra1RUVGQ8XlFREVVVVSf0Nb70pS/FkCFDMsL8rebPnx9FRUXpP5WVlZ0ZJgAAAJwWp3X1729+85vxy1/+Mn77299Gr169jnveHXfcEQ0NDek/27dvP42jBAAAgBOT25mTS0tLIycnJ6qrqzMer66ujkGDBr3tc//lX/4lvvnNb8YTTzwR55133tueW1BQEAUFBZ0ZGgAAAJx2nbpSnZ+fHxdccEEsXLgw/VhbW1ssXLgwZs2addznfetb34p//Md/jAULFsT06dOTjxYAAAC6kU5dqY6IuO222+Kmm26K6dOnx4wZM+Kee+6Jffv2xc033xwRETfeeGMMHTo05s+fHxER//zP/xx33313PPjggzFixIj0vdf9+vWLfv36ncSXAgAAAKdXp6P6hhtuiNra2rj77rujqqoqpk2bFgsWLEgvXrZt27bIzn7zAvj9998fLS0t8YEPfCDj63zlK1+Jr371q+9u9AAAANCFOr1PdVewTzUAAACn0ynZpxoAAAB4k6gGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJagAAAEhIVAMAAEBCohoAAAASEtUAAACQkKgGAACAhEQ1AAAAJCSqAQAAIKFEUX3ffffFiBEjolevXjFz5sxYtmzZ257/61//OiZMmBC9evWKc889Nx5++OFEgwUAAIDupNNR/dBDD8Vtt90WX/nKV2L58uUxderUuOaaa6KmpuaY5y9ZsiQ+/OEPxyc+8Yn44x//GNdff31cf/31sWLFinc9eAAAAOhKWalUKtWZJ8ycOTMuvPDCuPfeeyMioq2tLSorK+Pzn/983H777Uedf8MNN8S+ffvi//2//5d+7KKLLopp06bFAw88cELfs7GxMYqKiqKhoSEKCws7M1wAAADotBPt0E5dqW5paYmXX3455s2b9+YXyM6OefPmxdKlS4/5nKVLl2acHxFxzTXXHPf8iIjm5uZobGzM+AMAAADdTaeiuq6uLlpbW6OioiLj8YqKiqiqqjrmc6qqqjp1fkTE/Pnzo6ioKP2nsrKyM8MEAACA06Jbrv59xx13RENDQ/rP9u3bu3pIAAAAcJTczpxcWloaOTk5UV1dnfF4dXV1DBo06JjPGTRoUKfOj4goKCiIgoKCzgwNAAAATrtOXanOz8+PCy64IBYuXJh+rK2tLRYuXBizZs065nNmzZqVcX5ExOOPP37c8wEAAKCn6NSV6oiI2267LW666aaYPn16zJgxI+65557Yt29f3HzzzRERceONN8bQoUNj/vz5ERFxyy23xGWXXRbf+c534i/+4i/il7/8Zbz00kvxb//2byf3lQAAAMBp1umovuGGG6K2tjbuvvvuqKqqimnTpsWCBQvSi5Ft27YtsrPfvAA+e/bsePDBB+PLX/5y3HnnnTF27Nj43e9+F1OmTDl5rwIAAAC6QKf3qe4K9qkGAADgdDol+1QDAAAAbxLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRENQAAACQkqgEAACAhUQ0AAAAJiWoAAABISFQDAABAQqIaAAAAEhLVAAAAkJCoBgAAgIRyu3oAJyKVSkVERGNjYxePBAAAgLPBG/35Ro8eT4+I6qampoiIqKys7OKRAAAAcDZpamqKoqKi4x7PSr1TdncDbW1tsWPHjujfv39kZWV19XCOq7GxMSorK2P79u1RWFjY1cMBAL+bAOhWetLvpVQqFU1NTTFkyJDIzj7+ndM94kp1dnZ2DBs2rKuHccIKCwu7/V8QAM4ufjcB0J30lN9Lb3eF+g0WKgMAAICERDUAAAAkJKpPooKCgvjKV74SBQUFXT0UAIgIv5sA6F7OxN9LPWKhMgAAAOiOXKkGAACAhEQ1AAAAJCSqAQAAICFRDQAAAAmJ6uN45JFH4pOf/GRMnz49Bg8eHAUFBdG/f/+YNm1a3HnnnVFXV/eOX+Pyyy+Pr371q6d+sADwFr/+9a/j8ssvj4EDB0bfvn1j6tSp8a1vfSsOHTrU1UMDoIf7xS9+ETfeeGNMnTo1ysvLIy8vL4qKimLGjBkxf/782Lt379s+f8SIEfGTn/zk9Az2NBDVx/GLX/wifvzjH0dDQ0NMmTIl/vIv/zJmz54dW7dujfnz58fkyZNj5cqVGc85kTcq3swAcKrdeuut8V//63+N5557LmbMmBHXXnttbNu2Lb70pS/FFVdcEQcOHOjqIQLQg91///3x85//PA4fPhzvec974oMf/GBMnz49VqxYEXfeeWecf/75sWPHjvT579RAra2t0dbWdqqHfcqI6uP44he/GDt37oz169fH448/Hg8++GA8+uijsX379vjgBz8YNTU18clPfjLjOXPnzo2/+Zu/ifr6+qO+3ooVK2Lu3LmuXANwSv3ud7+L73//+9GvX7944YUX4tFHH43//b//d6xfvz7OPffcWLx4cdx1111dPUwAerDvfOc7UVdXFytXrowFCxbEgw8+GAsXLozt27fHJZdcEhs2bIi/+7u/i4iIlpaWmDJlStx5552xb9++o77W4sWL44ILLogf//jHp/tlnDSi+jimTZsWgwYNOurxfv36xXe+852IiHj++eejsbExfex73/tebNiwIcaNGxf3339/tLW1RUNDQ9x6660xffr0GDVqVHz6058+ba8BgLPPN77xjYiIuP322+M973lP+vHS0tL413/914iIuPfee6OhoaFLxgdAzzdz5swoLi4+6vGSkpL076HHHnssIiLy8/Pjhz/8YTz22GMxYcKE+NWvfhUREVVVVfHRj340rr766pg3b168//3vP30v4CTLSqVSqa4eRE+zc+fOGDJkSGRnZ8fevXujd+/eGccfe+yxuPPOO+Pll1+OrKyseP/73x//9E//FOPHj884r6mpKX75y1/GI488Eq+++mp6isSoUaPife97X/z93/99DBgw4HS9LAB6uNdffz2GDRsWERGbNm2KkSNHHnXO8OHDY/v27fHggw/Ghz/84dM9RADOcEuXLo3Zs2fH4MGDM6aAp1Kp+NWvfhV33XVXrF+/PnJzc+NjH/tYfPWrX42hQ4dmfI3a2tr4X//rf8WCBQti9erVUVVVFXl5eTFu3Lj44Ac/GLfcckv06tXrdL+043KlupOam5vjzjvvjIiIq6666qigjojIycmJrKysjP+dnX30/9V/+tOf4lOf+lQsXrw4Bg0aFNddd11ccsklsXPnzvjGN74RF1544TGnkgPAsfzxj3+MiIji4uJjBnVExPTp0zPOBYCTpampKX276/ve976MY1lZWSfcSY8++mjccsst8ec//znOOeecuP7662PGjBmxdu3auP322+OKK66I5ubmU/paOiO3qwfQ3S1fvjx+8IMfRCqVitra2njxxRejrq4uLrzwwqPm/S9fvjzuuOOOeOmll+If//Efo3fv3nHBBRdEW1tbnHfeefGxj30s7r777hg8eHBEtK9698QTT8TcuXMz/jLt378/PvOZz8TPfvazuPvuu+O+++47ra8ZgJ5p8+bNEdF+Nfp4KisrM84FgKQee+yxePDBB6OtrS2qq6tj6dKl0dTUFNdee2388z//c/q8p556Kr70pS/Fzp0741/+5V/iS1/6UvzN3/xNrFy5MsaOHRu33HJL/MM//EMUFRVFRMQFF1wQS5cujYsuuijj++3evTs+9KEPxWOPPRY/+MEP4u///u9P6+s9Hleq38G2bdvipz/9afzsZz+LRx55JOrq6mLevHnxy1/+8qhpCp///OfjnHPOiXXr1sXf/u3fRnZ2dhQVFcX3v//9ePHFF2P16tXxwx/+MH3+sGHD4sorrzzq05k+ffrE/fffH7m5ufHrX//6tLxOAHq+pqamiIjo27fvcc/p169fRETGmiAAkMSqVavipz/9afzHf/xHPPbYY9HU1BR/9Vd/FT/5yU/SgdzS0hKf/vSn48orr4w1a9bEDTfcEBERgwcPjp///OexYMGC+MMf/hAPPfRQ+utOnDjxqKCOiBg4cGC6p7pTJ7lS/Q6uv/76SKVS0draGq+99lo88cQT8ZWvfCWmTJkSP/vZz+IDH/hA+txFixZFXl7eMb/OlClTYtGiRcdcTn7JkiXx7LPPxrZt22L//v3xxm3u+fn5UVtbG7t3746BAweemhcIAACQwK233hq33nprHDp0KLZt2xa///3v4+tf/3osWLAgfvvb38all14a+fn5sWLFiuN20iWXXJJei+pIra2tsWjRoliyZEns3LkzDhw4EKlUKt1Ka9euPeWv70SdtVH9xS9+Merq6o56/HibkOfk5MQ555wTn/jEJ+LKK6+MyZMnx8033xyXXHJJepXw4/1FOdKR59TU1MRf/uVfxuLFi9/2OY2NjaIagHfUv3//iIhjblnyhr1790ZERGFh4WkZEwBnvry8vBg9enTcdtttcfHFF8esWbPiIx/5SKxduzZ69+79jp2Uk5OT8b/Xr18f/+W//JdYuXLlcZ/TnWZcnbVR/Zvf/Ca2bt161OPHi+ojjRgxIubOnRt/+MMf4vHHH4+PfvSjxzxv0aJFb/t1PvnJT8bixYtj1qxZ8bWvfS2mTp0aAwcOTP+lGzJkSOzcuTMs0A7AiRgxYkRERGzfvv2457xx7I1zAeBkmjlzZkyaNClWrlwZL730UsyZM+eoc7Zs2fK2X+MDH/hArFy5Mv7zf/7P8Q//8A8xadKkKCwsjLy8vGhpaYmCgoJTNPpkztqofqf/kO/kjfvVampqEj1/37598fDDD0d2dnY8/PDDR22dtW/fvqiqqnpXYwTg7HL++edHRER9fX1s3rz5mCuAv/TSSxERGXtYA8DJ9G5aac2aNfHnP/85ysvL47e//W3k5mYm6/r160/KGE8mC5Ul0NzcnJ6yPW7cuERfo6GhIVpbW6OwsPCYe1H//Oc/d4UagE4ZNmxYXHjhhRER8eCDDx51fPHixbF9+/YoKCiI//Sf/tPpHh4AZ4G6urr405/+FBHJWmnXrl0R0T5r961BHdHeSd2NqD6GmpqauP/++485T//111+Pj370o7Fjx44YMWJEXHXVVYm+R0VFRQwcODD27NkT//Ef/5Fx7Pnnn4877rgj0dcF4Ox25513RkTEN7/5zVi+fHn68fr6+vjbv/3biIj43Oc+l16VFQA6Y9WqVfGLX/wiDh48eNSxdevWxQc/+MFobm6Oiy66KM4999xOf/1x48ZFTk5OvPrqq0fdTvt//+//je9973tJh37KZKVcDj3Kli1bYuTIkZGfnx/Tpk2LESNGRCqViu3bt8fy5cujpaUlhgwZEg8//HBMnTo18fe555574gtf+EJEtN97MGrUqNi2bVssWbIkPvKRj8QzzzwTW7dujc2bN7v3DYATdsstt8QPfvCDyMvLiyuvvDL69u0bCxcujD179sTFF18cjz/+ePTu3burhwlAD7Ro0aKYO3du9O3bN84///wYNmxYtLS0xLZt22L58uXR1tYWEydOjAULFsTw4cMTfY9bb701vv/970d2dnbMmTMnhgwZEmvXro3ly5fHl7/85fj6178eEdFtZvaK6mPYv39/PPDAA/HMM8/EihUroqamJg4cOBADBgyISZMmxXXXXRef+tSnTsrKqb///e/jW9/6VqxatSoOHz4cEyZMiI9//OPx6U9/OkaOHCmqAUjkV7/6Vdx3333xyiuvxKFDh2L06NHxkY98JL7whS9Efn5+Vw8PgB6qtrY2fvSjH8Wzzz4ba9asidra2jh06FAUFxfHueeeG+9///vj5ptvfleLiaVSqfif//N/xr/+67/G2rVrIycnJ84999z43Oc+FzfccEN6+63ukrKiGgAAABJyTzUAAAAkJKoBAAAgIVENAAAACYlqAAAASEhUAwAAQEKiGgAAABIS1QAAAJCQqAYAAICERDUAAAAkJKoBAAAgIVENAAAACYlqAAAASOj/B6h2TGwVhepAAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 0.3\n", "support = np.linspace(-3 * a, 3 * a, 1000)\n", "ramsay = norms.RamsayE(a=a)\n", "plot_weights(support, ramsay.weights, [\"-3*a\", \"0\", \"3*a\"], [-3 * a, 0, 3 * a])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Trimmed Mean" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.159317Z", "iopub.status.busy": "2022-11-02T17:06:21.158146Z", "iopub.status.idle": "2022-11-02T17:06:21.164493Z", "shell.execute_reply": "2022-11-02T17:06:21.163912Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Least trimmed mean weighting function for the IRLS algorithm\n", " \n", " The psi function scaled by z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = 1 for \\|z\\| <= c\n", " \n", " weights(z) = 0 for \\|z\\| > c\n", "\n" ] } ], "source": [ "help(norms.TrimmedMean.weights)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.169009Z", "iopub.status.busy": "2022-11-02T17:06:21.167897Z", "iopub.status.idle": "2022-11-02T17:06:21.344763Z", "shell.execute_reply": "2022-11-02T17:06:21.344104Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 2\n", "support = np.linspace(-3 * c, 3 * c, 1000)\n", "trimmed = norms.TrimmedMean(c=c)\n", "plot_weights(support, trimmed.weights, [\"-3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tukey's Biweight" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.349751Z", "iopub.status.busy": "2022-11-02T17:06:21.348621Z", "iopub.status.idle": "2022-11-02T17:06:21.354783Z", "shell.execute_reply": "2022-11-02T17:06:21.354221Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Tukey's biweight weighting function for the IRLS algorithm\n", " \n", " The psi function scaled by z\n", " \n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", " \n", " Returns\n", " -------\n", " weights : ndarray\n", " psi(z) = (1 - (z/c)**2)**2 for \\|z\\| <= R\n", " \n", " psi(z) = 0 for \\|z\\| > R\n", "\n" ] } ], "source": [ "help(norms.TukeyBiweight.weights)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.359131Z", "iopub.status.busy": "2022-11-02T17:06:21.358047Z", "iopub.status.idle": "2022-11-02T17:06:21.535053Z", "shell.execute_reply": "2022-11-02T17:06:21.534391Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 4.685\n", "support = np.linspace(-3 * c, 3 * c, 1000)\n", "tukey = norms.TukeyBiweight(c=c)\n", "plot_weights(support, tukey.weights, [\"-3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scale Estimators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Robust estimates of the location" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.540855Z", "iopub.status.busy": "2022-11-02T17:06:21.539711Z", "iopub.status.idle": "2022-11-02T17:06:21.544442Z", "shell.execute_reply": "2022-11-02T17:06:21.543891Z" } }, "outputs": [], "source": [ "x = np.array([1, 2, 3, 4, 500])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The mean is not a robust estimator of location" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.548914Z", "iopub.status.busy": "2022-11-02T17:06:21.547818Z", "iopub.status.idle": "2022-11-02T17:06:21.554493Z", "shell.execute_reply": "2022-11-02T17:06:21.553964Z" } }, "outputs": [ { "data": { "text/plain": [ "102.0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The median, on the other hand, is a robust estimator with a breakdown point of 50%" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.558881Z", "iopub.status.busy": "2022-11-02T17:06:21.557778Z", "iopub.status.idle": "2022-11-02T17:06:21.564221Z", "shell.execute_reply": "2022-11-02T17:06:21.563699Z" } }, "outputs": [ { "data": { "text/plain": [ "3.0" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.median(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Analogously for the scale\n", "* The standard deviation is not robust" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.568569Z", "iopub.status.busy": "2022-11-02T17:06:21.567495Z", "iopub.status.idle": "2022-11-02T17:06:21.573869Z", "shell.execute_reply": "2022-11-02T17:06:21.573349Z" } }, "outputs": [ { "data": { "text/plain": [ "199.00251254695254" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x.std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Median Absolute Deviation\n", "\n", "$$ median_i |X_i - median_j(X_j)|) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Standardized Median Absolute Deviation is a consistent estimator for $\\hat{\\sigma}$\n", "\n", "$$\\hat{\\sigma}=K \\cdot MAD$$\n", "\n", "where $K$ depends on the distribution. For the normal distribution for example,\n", "\n", "$$K = \\Phi^{-1}(.75)$$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.578244Z", "iopub.status.busy": "2022-11-02T17:06:21.576922Z", "iopub.status.idle": "2022-11-02T17:06:21.583770Z", "shell.execute_reply": "2022-11-02T17:06:21.583244Z" } }, "outputs": [ { "data": { "text/plain": [ "0.6744897501960817" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.norm.ppf(0.75)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.587039Z", "iopub.status.busy": "2022-11-02T17:06:21.586625Z", "iopub.status.idle": "2022-11-02T17:06:21.591786Z", "shell.execute_reply": "2022-11-02T17:06:21.591214Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1 2 3 4 500]\n" ] } ], "source": [ "print(x)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.594856Z", "iopub.status.busy": "2022-11-02T17:06:21.594437Z", "iopub.status.idle": "2022-11-02T17:06:21.600580Z", "shell.execute_reply": "2022-11-02T17:06:21.599998Z" } }, "outputs": [ { "data": { "text/plain": [ "1.482602218505602" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.scale.mad(x)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.603738Z", "iopub.status.busy": "2022-11-02T17:06:21.603251Z", "iopub.status.idle": "2022-11-02T17:06:21.610049Z", "shell.execute_reply": "2022-11-02T17:06:21.609444Z" } }, "outputs": [ { "data": { "text/plain": [ "1.4142135623730951" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array([1, 2, 3, 4, 5.0]).std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another robust estimator of scale is the Interquartile Range (IQR)\n", "\n", "$$\\left(\\hat{X}_{0.75} - \\hat{X}_{0.25}\\right),$$\n", "\n", "where $\\hat{X}_{p}$ is the sample p-th quantile and $K$ depends on the distribution. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The standardized IQR, given by $K \\cdot \\text{IQR}$ for\n", "$$K = \\frac{1}{\\Phi^{-1}(.75) - \\Phi^{-1}(.25)} \\approx 0.74,$$\n", "is a consistent estimator of the standard deviation for normal data." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.613350Z", "iopub.status.busy": "2022-11-02T17:06:21.612926Z", "iopub.status.idle": "2022-11-02T17:06:21.618993Z", "shell.execute_reply": "2022-11-02T17:06:21.618414Z" } }, "outputs": [ { "data": { "text/plain": [ "array(1.48260222)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.scale.iqr(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The IQR is less robust than the MAD in the sense that it has a lower breakdown point: it can withstand 25\\% outlying observations before being completely ruined, whereas the MAD can withstand 50\\% outlying observations. However, the IQR is better suited for asymmetric distributions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yet another robust estimator of scale is the $Q_n$ estimator, introduced in Rousseeuw & Croux (1993), 'Alternatives to the Median Absolute Deviation'. Then $Q_n$ estimator is given by\n", "$$\n", "Q_n = K \\left\\lbrace \\vert X_{i} - X_{j}\\vert : i]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(fat_tails)\n", "kde.fit()\n", "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(kde.support, kde.density)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.805856Z", "iopub.status.busy": "2022-11-02T17:06:21.804725Z", "iopub.status.idle": "2022-11-02T17:06:21.811058Z", "shell.execute_reply": "2022-11-02T17:06:21.810486Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0688231044810875 1.3471633229698652\n" ] } ], "source": [ "print(fat_tails.mean(), fat_tails.std())" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.815557Z", "iopub.status.busy": "2022-11-02T17:06:21.814451Z", "iopub.status.idle": "2022-11-02T17:06:21.820478Z", "shell.execute_reply": "2022-11-02T17:06:21.819923Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.0688231044810875, 1.3471633229698652)\n" ] } ], "source": [ "print(stats.norm.fit(fat_tails))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.824823Z", "iopub.status.busy": "2022-11-02T17:06:21.823737Z", "iopub.status.idle": "2022-11-02T17:06:21.836463Z", "shell.execute_reply": "2022-11-02T17:06:21.835919Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(6, 0.03900835312789366, 1.0563837144431252)\n" ] } ], "source": [ "print(stats.t.fit(fat_tails, f0=6))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.841333Z", "iopub.status.busy": "2022-11-02T17:06:21.840245Z", "iopub.status.idle": "2022-11-02T17:06:21.847367Z", "shell.execute_reply": "2022-11-02T17:06:21.846824Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.04048984333271795 1.1557140047569665\n" ] } ], "source": [ "huber = sm.robust.scale.Huber()\n", "loc, scale = huber(fat_tails)\n", "print(loc, scale)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.851653Z", "iopub.status.busy": "2022-11-02T17:06:21.850560Z", "iopub.status.idle": "2022-11-02T17:06:21.857353Z", "shell.execute_reply": "2022-11-02T17:06:21.856812Z" } }, "outputs": [ { "data": { "text/plain": [ "1.115335001165415" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.mad(fat_tails)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.861580Z", "iopub.status.busy": "2022-11-02T17:06:21.860502Z", "iopub.status.idle": "2022-11-02T17:06:21.868261Z", "shell.execute_reply": "2022-11-02T17:06:21.867721Z" } }, "outputs": [ { "data": { "text/plain": [ "1.0483916565928972" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.mad(fat_tails, c=stats.t(6).ppf(0.75))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.872514Z", "iopub.status.busy": "2022-11-02T17:06:21.871424Z", "iopub.status.idle": "2022-11-02T17:06:21.878127Z", "shell.execute_reply": "2022-11-02T17:06:21.877563Z" } }, "outputs": [ { "data": { "text/plain": [ "1.115335001165415" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.scale.mad(fat_tails)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Duncan's Occupational Prestige data - M-estimation for outliers" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.882507Z", "iopub.status.busy": "2022-11-02T17:06:21.881402Z", "iopub.status.idle": "2022-11-02T17:06:21.885823Z", "shell.execute_reply": "2022-11-02T17:06:21.885284Z" } }, "outputs": [], "source": [ "from statsmodels.graphics.api import abline_plot\n", "from statsmodels.formula.api import ols, rlm" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.890085Z", "iopub.status.busy": "2022-11-02T17:06:21.888970Z", "iopub.status.idle": "2022-11-02T17:06:21.926340Z", "shell.execute_reply": "2022-11-02T17:06:21.925633Z" } }, "outputs": [], "source": [ "prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\", cache=True).data" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.931501Z", "iopub.status.busy": "2022-11-02T17:06:21.930346Z", "iopub.status.idle": "2022-11-02T17:06:21.938440Z", "shell.execute_reply": "2022-11-02T17:06:21.937870Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " type income education prestige\n", "accountant prof 62 86 82\n", "pilot prof 72 76 83\n", "architect prof 75 92 90\n", "author prof 55 90 76\n", "chemist prof 64 86 90\n", "minister prof 21 84 87\n", "professor prof 64 93 93\n", "dentist prof 80 100 90\n", "reporter wc 67 87 52\n", "engineer prof 72 86 88\n" ] } ], "source": [ "print(prestige.head(10))" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:21.942765Z", "iopub.status.busy": "2022-11-02T17:06:21.941666Z", "iopub.status.idle": "2022-11-02T17:06:22.250220Z", "shell.execute_reply": "2022-11-02T17:06:22.249544Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 12))\n", "ax1 = fig.add_subplot(211, xlabel=\"Income\", ylabel=\"Prestige\")\n", "ax1.scatter(prestige.income, prestige.prestige)\n", "xy_outlier = prestige.loc[\"minister\", [\"income\", \"prestige\"]]\n", "ax1.annotate(\"Minister\", xy_outlier, xy_outlier + 1, fontsize=16)\n", "ax2 = fig.add_subplot(212, xlabel=\"Education\", ylabel=\"Prestige\")\n", "ax2.scatter(prestige.education, prestige.prestige)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.255210Z", "iopub.status.busy": "2022-11-02T17:06:22.254066Z", "iopub.status.idle": "2022-11-02T17:06:22.272147Z", "shell.execute_reply": "2022-11-02T17:06:22.271549Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: prestige R-squared: 0.828\n", "Model: OLS Adj. R-squared: 0.820\n", "Method: Least Squares F-statistic: 101.2\n", "Date: Wed, 02 Nov 2022 Prob (F-statistic): 8.65e-17\n", "Time: 17:06:22 Log-Likelihood: -178.98\n", "No. Observations: 45 AIC: 364.0\n", "Df Residuals: 42 BIC: 369.4\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -6.0647 4.272 -1.420 0.163 -14.686 2.556\n", "income 0.5987 0.120 5.003 0.000 0.357 0.840\n", "education 0.5458 0.098 5.555 0.000 0.348 0.744\n", "==============================================================================\n", "Omnibus: 1.279 Durbin-Watson: 1.458\n", "Prob(Omnibus): 0.528 Jarque-Bera (JB): 0.520\n", "Skew: 0.155 Prob(JB): 0.771\n", "Kurtosis: 3.426 Cond. No. 163.\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "ols_model = ols(\"prestige ~ income + education\", prestige).fit()\n", "print(ols_model.summary())" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.277417Z", "iopub.status.busy": "2022-11-02T17:06:22.276293Z", "iopub.status.idle": "2022-11-02T17:06:22.301318Z", "shell.execute_reply": "2022-11-02T17:06:22.300701Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "accountant 0.303900\n", "pilot 0.340920\n", "architect 0.072256\n", "author 0.000711\n", "chemist 0.826578\n", "minister 3.134519\n", "professor 0.768277\n", "dentist -0.498082\n", "reporter -2.397022\n", "engineer 0.306225\n", "undertaker -0.187339\n", "lawyer -0.303082\n", "physician 0.355687\n", "welfare.worker -0.411406\n", "teacher 0.050510\n", "conductor -1.704032\n", "contractor 2.043805\n", "factory.owner 1.602429\n", "store.manager 0.142425\n", "banker 0.508388\n", "bookkeeper -0.902388\n", "mail.carrier -1.433249\n", "insurance.agent -1.930919\n", "store.clerk -1.760491\n", "carpenter 1.068858\n", "electrician 0.731949\n", "RR.engineer 0.808922\n", "machinist 1.887047\n", "auto.repairman 0.522735\n", "plumber -0.377954\n", "gas.stn.attendant -0.666596\n", "coal.miner 1.018527\n", "streetcar.motorman -1.104485\n", "taxi.driver 0.023322\n", "truck.driver -0.129227\n", "machine.operator 0.499922\n", "barber 0.173805\n", "bartender -0.902422\n", "shoe.shiner -0.429357\n", "cook 0.127207\n", "soda.clerk -0.883095\n", "watchman -0.513502\n", "janitor -0.079890\n", "policeman 0.078847\n", "waiter -0.475972\n", "Name: student_resid, dtype: float64\n" ] } ], "source": [ "infl = ols_model.get_influence()\n", "student = infl.summary_frame()[\"student_resid\"]\n", "print(student)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.306192Z", "iopub.status.busy": "2022-11-02T17:06:22.305040Z", "iopub.status.idle": "2022-11-02T17:06:22.312113Z", "shell.execute_reply": "2022-11-02T17:06:22.311545Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "minister 3.134519\n", "reporter -2.397022\n", "contractor 2.043805\n", "Name: student_resid, dtype: float64\n" ] } ], "source": [ "print(student.loc[np.abs(student) > 2])" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.316671Z", "iopub.status.busy": "2022-11-02T17:06:22.315538Z", "iopub.status.idle": "2022-11-02T17:06:22.323673Z", "shell.execute_reply": "2022-11-02T17:06:22.323107Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dfb_Intercept 0.144937\n", "dfb_income -1.220939\n", "dfb_education 1.263019\n", "cooks_d 0.566380\n", "standard_resid 2.849416\n", "hat_diag 0.173058\n", "dffits_internal 1.303510\n", "student_resid 3.134519\n", "dffits 1.433935\n", "Name: minister, dtype: float64\n" ] } ], "source": [ "print(infl.summary_frame().loc[\"minister\"])" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.328140Z", "iopub.status.busy": "2022-11-02T17:06:22.327042Z", "iopub.status.idle": "2022-11-02T17:06:22.351549Z", "shell.execute_reply": "2022-11-02T17:06:22.350989Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p sidak(p)\n", "minister 3.134519 0.003177 0.133421\n", "reporter -2.397022 0.021170 0.618213\n", "contractor 2.043805 0.047433 0.887721\n", "insurance.agent -1.930919 0.060428 0.939485\n", "machinist 1.887047 0.066248 0.954247\n", "store.clerk -1.760491 0.085783 0.982331\n", "conductor -1.704032 0.095944 0.989315\n", "factory.owner 1.602429 0.116738 0.996250\n", "mail.carrier -1.433249 0.159369 0.999595\n", "streetcar.motorman -1.104485 0.275823 1.000000\n", "carpenter 1.068858 0.291386 1.000000\n", "coal.miner 1.018527 0.314400 1.000000\n", "bartender -0.902422 0.372104 1.000000\n", "bookkeeper -0.902388 0.372122 1.000000\n", "soda.clerk -0.883095 0.382334 1.000000\n", "chemist 0.826578 0.413261 1.000000\n", "RR.engineer 0.808922 0.423229 1.000000\n", "professor 0.768277 0.446725 1.000000\n", "electrician 0.731949 0.468363 1.000000\n", "gas.stn.attendant -0.666596 0.508764 1.000000\n", "auto.repairman 0.522735 0.603972 1.000000\n", "watchman -0.513502 0.610357 1.000000\n", "banker 0.508388 0.613906 1.000000\n", "machine.operator 0.499922 0.619802 1.000000\n", "dentist -0.498082 0.621088 1.000000\n", "waiter -0.475972 0.636621 1.000000\n", "shoe.shiner -0.429357 0.669912 1.000000\n", "welfare.worker -0.411406 0.682918 1.000000\n", "plumber -0.377954 0.707414 1.000000\n", "physician 0.355687 0.723898 1.000000\n", "pilot 0.340920 0.734905 1.000000\n", "engineer 0.306225 0.760983 1.000000\n", "accountant 0.303900 0.762741 1.000000\n", "lawyer -0.303082 0.763360 1.000000\n", "undertaker -0.187339 0.852319 1.000000\n", "barber 0.173805 0.862874 1.000000\n", "store.manager 0.142425 0.887442 1.000000\n", "truck.driver -0.129227 0.897810 1.000000\n", "cook 0.127207 0.899399 1.000000\n", "janitor -0.079890 0.936713 1.000000\n", "policeman 0.078847 0.937538 1.000000\n", "architect 0.072256 0.942750 1.000000\n", "teacher 0.050510 0.959961 1.000000\n", "taxi.driver 0.023322 0.981507 1.000000\n", "author 0.000711 0.999436 1.000000\n" ] } ], "source": [ "sidak = ols_model.outlier_test(\"sidak\")\n", "sidak.sort_values(\"unadj_p\", inplace=True)\n", "print(sidak)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.355958Z", "iopub.status.busy": "2022-11-02T17:06:22.354861Z", "iopub.status.idle": "2022-11-02T17:06:22.378159Z", "shell.execute_reply": "2022-11-02T17:06:22.377531Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p fdr_bh(p)\n", "minister 3.134519 0.003177 0.142974\n", "reporter -2.397022 0.021170 0.476332\n", "contractor 2.043805 0.047433 0.596233\n", "insurance.agent -1.930919 0.060428 0.596233\n", "machinist 1.887047 0.066248 0.596233\n", "store.clerk -1.760491 0.085783 0.616782\n", "conductor -1.704032 0.095944 0.616782\n", "factory.owner 1.602429 0.116738 0.656653\n", "mail.carrier -1.433249 0.159369 0.796844\n", "streetcar.motorman -1.104485 0.275823 0.999436\n", "carpenter 1.068858 0.291386 0.999436\n", "coal.miner 1.018527 0.314400 0.999436\n", "bartender -0.902422 0.372104 0.999436\n", "bookkeeper -0.902388 0.372122 0.999436\n", "soda.clerk -0.883095 0.382334 0.999436\n", "chemist 0.826578 0.413261 0.999436\n", "RR.engineer 0.808922 0.423229 0.999436\n", "professor 0.768277 0.446725 0.999436\n", "electrician 0.731949 0.468363 0.999436\n", "gas.stn.attendant -0.666596 0.508764 0.999436\n", "auto.repairman 0.522735 0.603972 0.999436\n", "watchman -0.513502 0.610357 0.999436\n", "banker 0.508388 0.613906 0.999436\n", "machine.operator 0.499922 0.619802 0.999436\n", "dentist -0.498082 0.621088 0.999436\n", "waiter -0.475972 0.636621 0.999436\n", "shoe.shiner -0.429357 0.669912 0.999436\n", "welfare.worker -0.411406 0.682918 0.999436\n", "plumber -0.377954 0.707414 0.999436\n", "physician 0.355687 0.723898 0.999436\n", "pilot 0.340920 0.734905 0.999436\n", "engineer 0.306225 0.760983 0.999436\n", "accountant 0.303900 0.762741 0.999436\n", "lawyer -0.303082 0.763360 0.999436\n", "undertaker -0.187339 0.852319 0.999436\n", "barber 0.173805 0.862874 0.999436\n", "store.manager 0.142425 0.887442 0.999436\n", "truck.driver -0.129227 0.897810 0.999436\n", "cook 0.127207 0.899399 0.999436\n", "janitor -0.079890 0.936713 0.999436\n", "policeman 0.078847 0.937538 0.999436\n", "architect 0.072256 0.942750 0.999436\n", "teacher 0.050510 0.959961 0.999436\n", "taxi.driver 0.023322 0.981507 0.999436\n", "author 0.000711 0.999436 0.999436\n" ] } ], "source": [ "fdr = ols_model.outlier_test(\"fdr_bh\")\n", "fdr.sort_values(\"unadj_p\", inplace=True)\n", "print(fdr)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.382858Z", "iopub.status.busy": "2022-11-02T17:06:22.381734Z", "iopub.status.idle": "2022-11-02T17:06:22.400828Z", "shell.execute_reply": "2022-11-02T17:06:22.400232Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Robust linear Model Regression Results \n", "==============================================================================\n", "Dep. Variable: prestige No. Observations: 45\n", "Model: RLM Df Residuals: 42\n", "Method: IRLS Df Model: 2\n", "Norm: HuberT \n", "Scale Est.: mad \n", "Cov Type: H1 \n", "Date: Wed, 02 Nov 2022 \n", "Time: 17:06:22 \n", "No. Iterations: 18 \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -7.1107 3.879 -1.833 0.067 -14.713 0.492\n", "income 0.7015 0.109 6.456 0.000 0.489 0.914\n", "education 0.4854 0.089 5.441 0.000 0.311 0.660\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": [ "rlm_model = rlm(\"prestige ~ income + education\", prestige).fit()\n", "print(rlm_model.summary())" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.405569Z", "iopub.status.busy": "2022-11-02T17:06:22.404420Z", "iopub.status.idle": "2022-11-02T17:06:22.411685Z", "shell.execute_reply": "2022-11-02T17:06:22.411107Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "accountant 1.000000\n", "pilot 1.000000\n", "architect 1.000000\n", "author 1.000000\n", "chemist 1.000000\n", "minister 0.344596\n", "professor 1.000000\n", "dentist 1.000000\n", "reporter 0.441669\n", "engineer 1.000000\n", "undertaker 1.000000\n", "lawyer 1.000000\n", "physician 1.000000\n", "welfare.worker 1.000000\n", "teacher 1.000000\n", "conductor 0.538445\n", "contractor 0.552262\n", "factory.owner 0.706169\n", "store.manager 1.000000\n", "banker 1.000000\n", "bookkeeper 1.000000\n", "mail.carrier 0.690764\n", "insurance.agent 0.533499\n", "store.clerk 0.618656\n", "carpenter 0.935848\n", "electrician 1.000000\n", "RR.engineer 1.000000\n", "machinist 0.570360\n", "auto.repairman 1.000000\n", "plumber 1.000000\n", "gas.stn.attendant 1.000000\n", "coal.miner 0.963821\n", "streetcar.motorman 0.832870\n", "taxi.driver 1.000000\n", "truck.driver 1.000000\n", "machine.operator 1.000000\n", "barber 1.000000\n", "bartender 1.000000\n", "shoe.shiner 1.000000\n", "cook 1.000000\n", "soda.clerk 1.000000\n", "watchman 1.000000\n", "janitor 1.000000\n", "policeman 1.000000\n", "waiter 1.000000\n", "dtype: float64\n" ] } ], "source": [ "print(rlm_model.weights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hertzprung Russell data for Star Cluster CYG 0B1 - Leverage Points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Data is on the luminosity and temperature of 47 stars in the direction of Cygnus." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.416450Z", "iopub.status.busy": "2022-11-02T17:06:22.415349Z", "iopub.status.idle": "2022-11-02T17:06:22.622850Z", "shell.execute_reply": "2022-11-02T17:06:22.622089Z" } }, "outputs": [], "source": [ "dta = sm.datasets.get_rdataset(\"starsCYG\", \"robustbase\", cache=True).data" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.627145Z", "iopub.status.busy": "2022-11-02T17:06:22.626866Z", "iopub.status.idle": "2022-11-02T17:06:22.923641Z", "shell.execute_reply": "2022-11-02T17:06:22.922757Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import Ellipse\n", "\n", "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(\n", " 111,\n", " xlabel=\"log(Temp)\",\n", " ylabel=\"log(Light)\",\n", " title=\"Hertzsprung-Russell Diagram of Star Cluster CYG OB1\",\n", ")\n", "ax.scatter(*dta.values.T)\n", "# highlight outliers\n", "e = Ellipse((3.5, 6), 0.2, 1, alpha=0.25, color=\"r\")\n", "ax.add_patch(e)\n", "ax.annotate(\n", " \"Red giants\",\n", " xy=(3.6, 6),\n", " xytext=(3.8, 6),\n", " arrowprops=dict(facecolor=\"black\", shrink=0.05, width=2),\n", " horizontalalignment=\"left\",\n", " verticalalignment=\"bottom\",\n", " clip_on=True, # clip to the axes bounding box\n", " fontsize=16,\n", ")\n", "# annotate these with their index\n", "for i, row in dta.loc[dta[\"log.Te\"] < 3.8].iterrows():\n", " ax.annotate(i, row, row + 0.01, fontsize=14)\n", "xlim, ylim = ax.get_xlim(), ax.get_ylim()" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.928366Z", "iopub.status.busy": "2022-11-02T17:06:22.928095Z", "iopub.status.idle": "2022-11-02T17:06:22.942275Z", "shell.execute_reply": "2022-11-02T17:06:22.941518Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "Image(filename=\"star_diagram.png\")" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:22.945457Z", "iopub.status.busy": "2022-11-02T17:06:22.945209Z", "iopub.status.idle": "2022-11-02T17:06:23.118483Z", "shell.execute_reply": "2022-11-02T17:06:23.117839Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = dta[\"log.light\"]\n", "X = sm.add_constant(dta[\"log.Te\"], prepend=True)\n", "ols_model = sm.OLS(y, X).fit()\n", "abline_plot(model_results=ols_model, ax=ax)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.122613Z", "iopub.status.busy": "2022-11-02T17:06:23.122094Z", "iopub.status.idle": "2022-11-02T17:06:23.335756Z", "shell.execute_reply": "2022-11-02T17:06:23.335125Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rlm_mod = sm.RLM(y, X, sm.robust.norms.TrimmedMean(0.5)).fit()\n", "abline_plot(model_results=rlm_mod, ax=ax, color=\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Why? Because M-estimators are not robust to leverage points." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.339866Z", "iopub.status.busy": "2022-11-02T17:06:23.339350Z", "iopub.status.idle": "2022-11-02T17:06:23.344025Z", "shell.execute_reply": "2022-11-02T17:06:23.343488Z" } }, "outputs": [], "source": [ "infl = ols_model.get_influence()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.347534Z", "iopub.status.busy": "2022-11-02T17:06:23.347064Z", "iopub.status.idle": "2022-11-02T17:06:23.370318Z", "shell.execute_reply": "2022-11-02T17:06:23.369745Z" } }, "outputs": [ { "data": { "text/plain": [ "10 0.194103\n", "19 0.194103\n", "29 0.198344\n", "33 0.194103\n", "Name: hat_diag, dtype: float64" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h_bar = 2 * (ols_model.df_model + 1) / ols_model.nobs\n", "hat_diag = infl.summary_frame()[\"hat_diag\"]\n", "hat_diag.loc[hat_diag > h_bar]" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.373911Z", "iopub.status.busy": "2022-11-02T17:06:23.373435Z", "iopub.status.idle": "2022-11-02T17:06:23.396538Z", "shell.execute_reply": "2022-11-02T17:06:23.395975Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p sidak(p)\n", "16 -2.049393 0.046415 0.892872\n", "13 -2.035329 0.047868 0.900286\n", "33 1.905847 0.063216 0.953543\n", "18 -1.575505 0.122304 0.997826\n", "1 1.522185 0.135118 0.998911\n", "3 1.522185 0.135118 0.998911\n", "21 -1.450418 0.154034 0.999615\n", "17 -1.426675 0.160731 0.999735\n", "29 1.388520 0.171969 0.999859\n", "14 -1.374733 0.176175 0.999889\n", "35 1.346543 0.185023 0.999933\n", "34 -1.272159 0.209999 0.999985\n", "28 -1.186946 0.241618 0.999998\n", "20 -1.150621 0.256103 0.999999\n", "44 1.134779 0.262612 0.999999\n", "39 1.091886 0.280826 1.000000\n", "19 1.064878 0.292740 1.000000\n", "6 -1.026873 0.310093 1.000000\n", "30 -1.009096 0.318446 1.000000\n", "22 -0.979768 0.332557 1.000000\n", "8 0.961218 0.341695 1.000000\n", "5 0.913802 0.365801 1.000000\n", "11 0.871997 0.387943 1.000000\n", "12 0.856685 0.396261 1.000000\n", "46 -0.833923 0.408829 1.000000\n", "10 0.743920 0.460879 1.000000\n", "42 0.727179 0.470968 1.000000\n", "15 -0.689258 0.494280 1.000000\n", "43 0.688272 0.494895 1.000000\n", "7 0.655712 0.515424 1.000000\n", "40 -0.646396 0.521381 1.000000\n", "26 -0.640978 0.524862 1.000000\n", "25 -0.545561 0.588123 1.000000\n", "32 0.472819 0.638680 1.000000\n", "37 0.472819 0.638680 1.000000\n", "38 0.462187 0.646225 1.000000\n", "0 0.430686 0.668799 1.000000\n", "31 0.341726 0.734184 1.000000\n", "36 0.318911 0.751303 1.000000\n", "4 0.307890 0.759619 1.000000\n", "9 0.235114 0.815211 1.000000\n", "41 0.187732 0.851950 1.000000\n", "2 -0.182093 0.856346 1.000000\n", "23 -0.156014 0.876736 1.000000\n", "27 -0.147406 0.883485 1.000000\n", "24 0.065195 0.948314 1.000000\n", "45 0.045675 0.963776 1.000000\n" ] } ], "source": [ "sidak2 = ols_model.outlier_test(\"sidak\")\n", "sidak2.sort_values(\"unadj_p\", inplace=True)\n", "print(sidak2)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.400126Z", "iopub.status.busy": "2022-11-02T17:06:23.399650Z", "iopub.status.idle": "2022-11-02T17:06:23.422171Z", "shell.execute_reply": "2022-11-02T17:06:23.421601Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p fdr_bh(p)\n", "16 -2.049393 0.046415 0.764747\n", "13 -2.035329 0.047868 0.764747\n", "33 1.905847 0.063216 0.764747\n", "18 -1.575505 0.122304 0.764747\n", "1 1.522185 0.135118 0.764747\n", "3 1.522185 0.135118 0.764747\n", "21 -1.450418 0.154034 0.764747\n", "17 -1.426675 0.160731 0.764747\n", "29 1.388520 0.171969 0.764747\n", "14 -1.374733 0.176175 0.764747\n", "35 1.346543 0.185023 0.764747\n", "34 -1.272159 0.209999 0.764747\n", "28 -1.186946 0.241618 0.764747\n", "20 -1.150621 0.256103 0.764747\n", "44 1.134779 0.262612 0.764747\n", "39 1.091886 0.280826 0.764747\n", "19 1.064878 0.292740 0.764747\n", "6 -1.026873 0.310093 0.764747\n", "30 -1.009096 0.318446 0.764747\n", "22 -0.979768 0.332557 0.764747\n", "8 0.961218 0.341695 0.764747\n", "5 0.913802 0.365801 0.768599\n", "11 0.871997 0.387943 0.768599\n", "12 0.856685 0.396261 0.768599\n", "46 -0.833923 0.408829 0.768599\n", "10 0.743920 0.460879 0.770890\n", "42 0.727179 0.470968 0.770890\n", "15 -0.689258 0.494280 0.770890\n", "43 0.688272 0.494895 0.770890\n", "7 0.655712 0.515424 0.770890\n", "40 -0.646396 0.521381 0.770890\n", "26 -0.640978 0.524862 0.770890\n", "25 -0.545561 0.588123 0.837630\n", "32 0.472819 0.638680 0.843682\n", "37 0.472819 0.638680 0.843682\n", "38 0.462187 0.646225 0.843682\n", "0 0.430686 0.668799 0.849556\n", "31 0.341726 0.734184 0.892552\n", "36 0.318911 0.751303 0.892552\n", "4 0.307890 0.759619 0.892552\n", "9 0.235114 0.815211 0.922751\n", "41 0.187732 0.851950 0.922751\n", "2 -0.182093 0.856346 0.922751\n", "23 -0.156014 0.876736 0.922751\n", "27 -0.147406 0.883485 0.922751\n", "24 0.065195 0.948314 0.963776\n", "45 0.045675 0.963776 0.963776\n" ] } ], "source": [ "fdr2 = ols_model.outlier_test(\"fdr_bh\")\n", "fdr2.sort_values(\"unadj_p\", inplace=True)\n", "print(fdr2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Let's delete that line" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.426594Z", "iopub.status.busy": "2022-11-02T17:06:23.425245Z", "iopub.status.idle": "2022-11-02T17:06:23.430058Z", "shell.execute_reply": "2022-11-02T17:06:23.429473Z" } }, "outputs": [], "source": [ "l = ax.lines[-1]\n", "l.remove()\n", "del l" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.434166Z", "iopub.status.busy": "2022-11-02T17:06:23.433090Z", "iopub.status.idle": "2022-11-02T17:06:23.653982Z", "shell.execute_reply": "2022-11-02T17:06:23.649063Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "weights = np.ones(len(X))\n", "weights[X[X[\"log.Te\"] < 3.8].index.values - 1] = 0\n", "wls_model = sm.WLS(y, X, weights=weights).fit()\n", "abline_plot(model_results=wls_model, ax=ax, color=\"green\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* MM estimators are good for this type of problem, unfortunately, we do not yet have these yet. \n", "* It's being worked on, but it gives a good excuse to look at the R cell magics in the notebook." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.659358Z", "iopub.status.busy": "2022-11-02T17:06:23.657947Z", "iopub.status.idle": "2022-11-02T17:06:23.663230Z", "shell.execute_reply": "2022-11-02T17:06:23.662653Z" } }, "outputs": [], "source": [ "yy = y.values[:, None]\n", "xx = X[\"log.Te\"].values[:, None]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: The R code and the results in this notebook has been converted to markdown so that R is not required to build the documents. The R results in the notebook were computed using R 3.5.1 and robustbase 0.93." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```ipython\n", "%load_ext rpy2.ipython\n", "\n", "%R library(robustbase)\n", "%Rpush yy xx\n", "%R mod <- lmrob(yy ~ xx);\n", "%R params <- mod$coefficients;\n", "%Rpull params\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```ipython\n", "%R print(mod)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```\n", "Call:\n", "lmrob(formula = yy ~ xx)\n", " \\--> method = \"MM\"\n", "Coefficients:\n", "(Intercept) xx \n", " -4.969 2.253 \n", "```" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.667459Z", "iopub.status.busy": "2022-11-02T17:06:23.667070Z", "iopub.status.idle": "2022-11-02T17:06:23.672963Z", "shell.execute_reply": "2022-11-02T17:06:23.672408Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-4.969387980288108 2.2531613477892365\n" ] } ], "source": [ "params = [-4.969387980288108, 2.2531613477892365] # Computed using R\n", "print(params[0], params[1])" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:23.676288Z", "iopub.status.busy": "2022-11-02T17:06:23.675911Z", "iopub.status.idle": "2022-11-02T17:06:24.038090Z", "shell.execute_reply": "2022-11-02T17:06:24.037425Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "abline_plot(intercept=params[0], slope=params[1], ax=ax, color=\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: Breakdown points of M-estimator" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:24.043043Z", "iopub.status.busy": "2022-11-02T17:06:24.041900Z", "iopub.status.idle": "2022-11-02T17:06:24.047766Z", "shell.execute_reply": "2022-11-02T17:06:24.047223Z" } }, "outputs": [], "source": [ "np.random.seed(12345)\n", "nobs = 200\n", "beta_true = np.array([3, 1, 2.5, 3, -4])\n", "X = np.random.uniform(-20, 20, size=(nobs, len(beta_true) - 1))\n", "# stack a constant in front\n", "X = sm.add_constant(X, prepend=True) # np.c_[np.ones(nobs), X]\n", "mc_iter = 500\n", "contaminate = 0.25 # percentage of response variables to contaminate" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:24.052117Z", "iopub.status.busy": "2022-11-02T17:06:24.051026Z", "iopub.status.idle": "2022-11-02T17:06:28.867368Z", "shell.execute_reply": "2022-11-02T17:06:28.866654Z" } }, "outputs": [], "source": [ "all_betas = []\n", "for i in range(mc_iter):\n", " y = np.dot(X, beta_true) + np.random.normal(size=200)\n", " random_idx = np.random.randint(0, nobs, size=int(contaminate * nobs))\n", " y[random_idx] = np.random.uniform(-750, 750)\n", " beta_hat = sm.RLM(y, X).fit().params\n", " all_betas.append(beta_hat)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:28.872821Z", "iopub.status.busy": "2022-11-02T17:06:28.871662Z", "iopub.status.idle": "2022-11-02T17:06:28.881683Z", "shell.execute_reply": "2022-11-02T17:06:28.881100Z" } }, "outputs": [], "source": [ "all_betas = np.asarray(all_betas)\n", "se_loss = lambda x: np.linalg.norm(x, ord=2) ** 2\n", "se_beta = lmap(se_loss, all_betas - beta_true)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Squared error loss" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:28.888548Z", "iopub.status.busy": "2022-11-02T17:06:28.887980Z", "iopub.status.idle": "2022-11-02T17:06:28.900126Z", "shell.execute_reply": "2022-11-02T17:06:28.899160Z" } }, "outputs": [ { "data": { "text/plain": [ "0.4450294873068656" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array(se_beta).mean()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:28.906821Z", "iopub.status.busy": "2022-11-02T17:06:28.905494Z", "iopub.status.idle": "2022-11-02T17:06:28.918282Z", "shell.execute_reply": "2022-11-02T17:06:28.917651Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 2.99711706, 0.99898147, 2.49909344, 2.99712918, -3.99626521])" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all_betas.mean(0)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:28.922588Z", "iopub.status.busy": "2022-11-02T17:06:28.921225Z", "iopub.status.idle": "2022-11-02T17:06:28.928144Z", "shell.execute_reply": "2022-11-02T17:06:28.927620Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 3. , 1. , 2.5, 3. , -4. ])" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_true" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "execution": { "iopub.execute_input": "2022-11-02T17:06:28.931845Z", "iopub.status.busy": "2022-11-02T17:06:28.931425Z", "iopub.status.idle": "2022-11-02T17:06:28.937463Z", "shell.execute_reply": "2022-11-02T17:06:28.936904Z" } }, "outputs": [ { "data": { "text/plain": [ "3.236091328675582e-05" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "se_loss(all_betas.mean(0) - beta_true)" ] } ], "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": "3.10.8" } }, "nbformat": 4, "nbformat_minor": 4 }