{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Influence Measures for GLM Logit\n",
    "\n",
    "\n",
    "Based on draft version for GLMInfluence, which will also apply to discrete Logit, Probit and Poisson, and eventually be extended to cover most models outside of time series analysis.\n",
    "\n",
    "The example for logistic regression was used by Pregibon (1981) \"Logistic Regression diagnostics\" and is based on data by Finney (1947).\n",
    "\n",
    "GLMInfluence includes the basic influence measures but still misses some measures described in Pregibon (1981), for example those related to deviance and effects on confidence intervals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import os.path\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from statsmodels.genmod.generalized_linear_model import GLM\n",
    "from statsmodels.genmod import families"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import statsmodels.stats.tests.test_influence\n",
    "test_module = statsmodels.stats.tests.test_influence.__file__\n",
    "cur_dir = cur_dir = os.path.abspath(os.path.dirname(test_module))\n",
    "\n",
    "file_name = 'binary_constrict.csv'\n",
    "file_path = os.path.join(cur_dir, 'results', file_name)\n",
    "df = pd.read_csv(file_path, index_col=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 Generalized Linear Model Regression Results                  \n",
      "==============================================================================\n",
      "Dep. Variable:              constrict   No. Observations:                   39\n",
      "Model:                            GLM   Df Residuals:                       36\n",
      "Model Family:                Binomial   Df Model:                            2\n",
      "Link Function:                  logit   Scale:                          1.0000\n",
      "Method:                          IRLS   Log-Likelihood:                -14.614\n",
      "Date:                Sun, 16 Aug 2020   Deviance:                       29.227\n",
      "Time:                        18:00:44   Pearson chi2:                     34.2\n",
      "No. Iterations:                     7                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "const          -2.8754      1.321     -2.177      0.029      -5.464      -0.287\n",
      "log_rate        4.5617      1.838      2.482      0.013       0.959       8.164\n",
      "log_volumne     5.1793      1.865      2.777      0.005       1.524       8.834\n",
      "===============================================================================\n"
     ]
    }
   ],
   "source": [
    "res = GLM(df['constrict'], df[['const', 'log_rate', 'log_volumne']],\n",
    "          family=families.Binomial()).fit(attach_wls=True, atol=1e-10)\n",
    "print(res.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## get the influence measures\n",
    "\n",
    "GLMResults has a `get_influence` method similar to OLSResults, that returns and instance of the GLMInfluence class. This class has methods and (cached) attributes to inspect influence and outlier measures.\n",
    "\n",
    "This measures are based on a one-step approximation to the the results for deleting one observation. One-step approximations are usually accurate for small changes but underestimate the magnitude of large changes. Event though large changes are underestimated, they still show clearly the effect of influential observations\n",
    "\n",
    "In this example observation 4 and 18 have a large standardized residual and large Cook's distance, but not a large leverage. Observation 13 has the largest leverage but only small Cook's distance and not a large studentized residual.\n",
    "\n",
    "Only the two observations 4 and 18 have a large impact on the parameter estimates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "infl = res.get_influence(observed=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>dfb_const</th>\n",
       "      <th>dfb_log_rate</th>\n",
       "      <th>dfb_log_volumne</th>\n",
       "      <th>cooks_d</th>\n",
       "      <th>standard_resid</th>\n",
       "      <th>hat_diag</th>\n",
       "      <th>dffits_internal</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Case</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.073359</td>\n",
       "      <td>-0.930200</td>\n",
       "      <td>-1.017953</td>\n",
       "      <td>0.429085</td>\n",
       "      <td>3.681352</td>\n",
       "      <td>0.086745</td>\n",
       "      <td>1.134573</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.959508</td>\n",
       "      <td>-0.827905</td>\n",
       "      <td>-0.847666</td>\n",
       "      <td>0.328152</td>\n",
       "      <td>3.055542</td>\n",
       "      <td>0.095386</td>\n",
       "      <td>0.992197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.259120</td>\n",
       "      <td>0.202363</td>\n",
       "      <td>-0.004883</td>\n",
       "      <td>0.066770</td>\n",
       "      <td>-1.150095</td>\n",
       "      <td>0.131521</td>\n",
       "      <td>-0.447560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.236747</td>\n",
       "      <td>-0.194984</td>\n",
       "      <td>0.028643</td>\n",
       "      <td>0.065370</td>\n",
       "      <td>0.984729</td>\n",
       "      <td>0.168219</td>\n",
       "      <td>0.442844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.116501</td>\n",
       "      <td>-0.099602</td>\n",
       "      <td>0.132197</td>\n",
       "      <td>0.055382</td>\n",
       "      <td>0.713771</td>\n",
       "      <td>0.245917</td>\n",
       "      <td>0.407609</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-0.128107</td>\n",
       "      <td>0.041039</td>\n",
       "      <td>-0.100410</td>\n",
       "      <td>0.051950</td>\n",
       "      <td>-1.420261</td>\n",
       "      <td>0.071721</td>\n",
       "      <td>-0.394777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.093083</td>\n",
       "      <td>-0.009463</td>\n",
       "      <td>0.177532</td>\n",
       "      <td>0.046492</td>\n",
       "      <td>-0.847046</td>\n",
       "      <td>0.162757</td>\n",
       "      <td>-0.373465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-0.196119</td>\n",
       "      <td>0.127482</td>\n",
       "      <td>0.035689</td>\n",
       "      <td>0.031168</td>\n",
       "      <td>-1.065576</td>\n",
       "      <td>0.076085</td>\n",
       "      <td>-0.305786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.088174</td>\n",
       "      <td>-0.013657</td>\n",
       "      <td>-0.002161</td>\n",
       "      <td>0.027481</td>\n",
       "      <td>-1.238185</td>\n",
       "      <td>0.051031</td>\n",
       "      <td>-0.287130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.092235</td>\n",
       "      <td>0.170980</td>\n",
       "      <td>0.038080</td>\n",
       "      <td>0.026230</td>\n",
       "      <td>0.661478</td>\n",
       "      <td>0.152431</td>\n",
       "      <td>0.280520</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      dfb_const  dfb_log_rate  dfb_log_volumne   cooks_d  standard_resid  \\\n",
       "Case                                                                       \n",
       "4      1.073359     -0.930200        -1.017953  0.429085        3.681352   \n",
       "18     0.959508     -0.827905        -0.847666  0.328152        3.055542   \n",
       "19    -0.259120      0.202363        -0.004883  0.066770       -1.150095   \n",
       "29     0.236747     -0.194984         0.028643  0.065370        0.984729   \n",
       "31     0.116501     -0.099602         0.132197  0.055382        0.713771   \n",
       "24    -0.128107      0.041039        -0.100410  0.051950       -1.420261   \n",
       "13    -0.093083     -0.009463         0.177532  0.046492       -0.847046   \n",
       "23    -0.196119      0.127482         0.035689  0.031168       -1.065576   \n",
       "33    -0.088174     -0.013657        -0.002161  0.027481       -1.238185   \n",
       "6     -0.092235      0.170980         0.038080  0.026230        0.661478   \n",
       "\n",
       "      hat_diag  dffits_internal  \n",
       "Case                             \n",
       "4     0.086745         1.134573  \n",
       "18    0.095386         0.992197  \n",
       "19    0.131521        -0.447560  \n",
       "29    0.168219         0.442844  \n",
       "31    0.245917         0.407609  \n",
       "24    0.071721        -0.394777  \n",
       "13    0.162757        -0.373465  \n",
       "23    0.076085        -0.305786  \n",
       "33    0.051031        -0.287130  \n",
       "6     0.152431         0.280520  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "summ_df = infl.summary_frame()\n",
    "summ_df.sort_values('cooks_d', ascending=False)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_influence()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='cooks', threshold=2 * infl.cooks_distance[0].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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nXPJyGtHsnHOuvHih4Jxzrp4XCs455+p5oeCcc66eFwrOOefqeaHgnHOuXrYsqbs3ZUdm9n7u4TjnnEtStsFrS8ic5qIhFbmF4pxzLmnZCoUL2FwotAauAj4HHiRIjNcVGAS0B67LY4zOOecKJNuI5rvrXku6hWDKze+amaUsHw1MBPbJW4TOOecKJmpD8+nA7akFAgRZ8IA/AGfEHZhzzrnCi1ootAO6ZFi3E9A2nnCcc84lKWqhMA34haSDUxdKOgS4IVzvnHOuxEUtFIYBG4CXJS2R9IqkJcBLwPpwvXPOuRLX2CQ7AJjZYkl7AecB3wB2Ad4kKBTuMbONWT7unHOuREQqFADCH/7/CR95IWk34F6C7q6bgDvM7Df5Op5zzrktRS4UACTtDxwBdCLojfRPSXsCy83sixjiqQH+08xmS2oPzJL0tJnNi2HfzjnnGhGpUJDUGrgPGAiIYFDbJOCfwK+Ad4ARuQZjZh8BH4Wvv5A0H+gOeKHgnHMFELWh+QbgGOBsYGeCgqHOE0C/mONCUhXQB3ilgXVDJc2UNPPjjz+O+9DOOddsNWXw2lVmdj+wKm3dYqAqzqAktQP+CvzEzD5PX29md5hZtZlVd+mSafiEc865popaKHQC5mfZR+t4wgFJLQkKhL+Y2YS49uucc65xUQuFxcBhGdYdAiyIIxhJAv4IzDezm+LYp3POueiiFgr3AiMknQm0CpeZpKOAnwJ3xRTP4QTtFkdLmhs+jo9p38455xoRtUvqr4ADgD8Dd4bLngfaAOPN7NY4gjGz59myEds551wBRR3RXAsMlvQ7gp5GOwGfAE+a2fQ8xuecc66AmjR4zcxmADPyFItzzrmERWpTkPSspHGSWjWwbm9Jz8YfmnPOuUKL2tDcF7gQeEZSp7R12wNHxhmUc865ZEQtFACGEqSceFlSrzzF45xzLkFNKRTeJBiTsBx4SdLR+QnJOedcUppSKGBmK4GjCJLhPSHp+3mJyjnnXCKa1PsI6udVOFfSAuB2YErsUTnnnEtEkwuFOmb2C0lvE4x2ds45VwaiFgo9Cec5SGVmEyTNAXaPNSrnnHOJiDqi+b0s6xYTJMxzzjlX4jIWCpLuAq4zs8Xh62zMzIbEG5pzzrlCy3ancBTwm/D10QRTcGaSbZ1zzrkSkbFQMLOeKa+rChKNc865REXNfXREOEVmQ+vaSjoi3rCcc84lIergtb8B+2RYt1e43jnnXImLWihkm/imNVAbQyzOOecSlq33URXwlZRF1Q1UIVUCFwDvxx+ac865QsvW++hcYCRBzyIDbmXLOwYL39cAF+crQOecc4WTrVC4G5hG8MP/LMEP/7y0bTYA75jZqnwE55xzrrCydUl9D3gPQNJRwGwz+6JQgTnnnCu8qGkupuc7EOecc8mLOk6hlaSRkt6W9KWk2rRHTb4Ddc45l39Rs6SOJWhTeAKYQNCW4JxzrsxELRROBUaa2Q35DMY551yyog5eawe8lM9AnHPOJS9qoTAJ8PxGzjlX5qJWH90K3CtpEzAZ2Gpcgpm9G2dgzjnnCi9qoVBXdTSKYJRzQypyjsY551yiohYKF+AT6TjnXNmLOnjt7jzHUS+c+vNEYIWZ7Vuo4zrnnIt+pwCApBYE8yp0Amaa2do8xHQ3MA64Nw/7ds4lbOKcZYydsoAPV6+jW4dKhvfrxYA+3ZMOy4Wi9j5C0sXAP4HXCRLk9QqXT5T047gCMrPnaKAh2zlX+ibOWcYVE95g2ep1GLBs9TqumPAGE+csSzo0F4qa5uIHwG+AicAgtkyhPQM4JfbIssczVNJMSTM//vjjQh7aOZeDsVMWsG7jlnNyrdtYy9gpCxKKyKWLeqdwGfDfZjYUeCRt3duEdw2FYmZ3mFm1mVV36dKlkId2zuXgw9XrmrTcFV7UQqEnMCXDurVAh1iicc6VtW4dKpu03BVe1EJhJVCVYV0vwCsEnXONGt6vF5UttxzSVNmyguH9ClrZ4LJoSpqLaySlztlskjoDPyVoa4iFpAcIBsv1krRU0pC49u2cS9aAPt25ceB+dO9QiYDuHSq5ceB+3vuoiMis8TFpkjoBLwK7Aa8Q5EF6EdgLWAF808w+y2OcGVVXV9vMmTOTOLRzzpUsSbPMrDp9eaQ7BTP7BKgGbgRaAosIxjiMAw5LqkBwzjkXr8iD18L5ma8LH84558pQk0Y0O+dc0nxEdH7PQcZCQdKzTdiPmdm3Y4jHOecyqhsRXTcArm5ENNBsCoZ8n4NsbQotCEYu1z32AvoSdE2tDJ/7EnRJVQOfd9to4pxlHD7mWXqOeJzDxzzrKQCcC/mI6Pyfg4x3CmbWt+61pAEEaS6+YWZ/T1l+KPC/4ToXA78Sci4zHxGd/3MQdZzCdcDVqQUCgJm9QjDxzvWxROP8Ssi5LHxEdP7PQdRC4atApsxzK4A9Y4nG+ZWQc1n4iOj8n4OovY8WAz8Enmhg3Q+BJbFE00xk6znQrUMlyxooAJrTlZBzmdR9T/LZ+6ixnj1J937K9zmIOqJ5MPAXYD7wMLAc2Bk4laAB+kwz+99YImqiUhvRnN5mAEEpXzfUv7H1zrn8aU7fz1xHNI8H+gGfAVcAvwufVwP9kioQSlFjbQaeG8a55DT2/Yza5lfKPQibMqJ5KjA1nJKzM7DSzDblLbIyFaXNYECf7l4IOJeAxr6fUb6/pd6DMPJ0nHXMbJOZrfACYdt474nclfJVmCtujX0/o3x/S70HYaQ7BUnXNLKJmZnnRIpgeL9eDdZJNqfeE7ko9aswV9wa+35G+f6Weg/CqNVHo7Ksq2up9kIhgkL0nihn2a7C/By6XDX2/Yzy/S31HoSReh81+EGpI/AfwH8CA8xscZyBRVVqvY9cbnqOeJyG/mIFLB5zQqHDaZaS7pJZ7Eqlh1Km3kfbnCXVzD4F7g0n4PkdcHwO8TkXSalfhZU6r75rXKnXBsSROvs1vOrIFYi3yeQulyt9r76LppR7EMZRKJxI5hQYZclvn5NT6ldhScv1Sr/UG1Fd46L2PrqrgcWtgH2B/YCRcQZVzPz2OXmlfBWWtFyv9L36rvxFvVM4GrZq31sPvAfcAtwTY0xFzW+f86/U78SKOf5cr/S9+q78RSoUzKwqz3EUVC5fWr99zq9SvxMr9vhzvdL36rvyF2lEs6Rzwl5GDa3bUdI58YaVP3Vf2mWr12Fs/tJGHRXrI5Lzq9RHgxZ7/HGkXR7QpzsvjDiaxWNO4IURR3uBUGaiprn4E7BHhnU9w/UlIdcvredzz69SvxMr9vg94aJrTNQ2hWxzMLcFamKIpSBy/dL67XN+xdGQmWSdfik0xHpDvcsmY6Eg6UDgoJRF/yFp37TNKoHBwD/iDy0/onxpG/tR8S9V/uTakJl0nb43xLpSl+1O4WQ2dzU14OcZtvsEGBJnUPnU2Jc26R+V5i7XO7Gke4f5naQrdRlzH0naAehAUHX0LjAQmJO22QZguW1rAqUYbEvuo2x3AoePebbBO4nuHSp5YcTRscTs8idKbqRi7jLqXKE0OfeRmX1GMNMaknoCH5rZxvyFWDjZqn+KvaHQZddY9aDfCTqXXdTpON+rKxAktZZ0kaRxkq6U1C3OgCT1l7RA0kJJI+LcdxTe5bS0NdY7rNi7jDqXtGwNzaOBU8ysd8qy1sArBKkt6nokXSrpG3GkzpZUQZBx9TvAUuBVSY+Z2bxc9x2VNxSWtsbq9P1OsPx59WBusjU0HwNMTlt2MbA/8CvgBmBvYAJwFfE0Nh8CLDSzdwEkjSdo8C5YoVAKDYX5/qNvbP/F/qXLVj1YCl1G3bbz6sHcZSsU9gBuTls2APgIuCJsXP67pLHAT2OKpzvwQcr7pcChMe07smLucprvP/rG9l/qXzq/EyxvSfc+KwfZ2hR2AJbXvZHUiuBK/m9pvY1eA3aJKZ6GBslt1ZlE0lBJMyXN/PjjZpW1O+914o3tv9Tr5H1Eb3nz6sHcZbtTWAZUAc+F7w8lSJf9Ytp2LYG1McWzFNgt5f2uwIfpG5nZHcAdEHRJjenYJSGOP/ps1T+N7b8cvnRJ3wkWe/Vb0nI5P149mLtsdwozgJ9I6iBJwI+BTcDjadv1Ifgxj8OrwFcl9QzvTAYDj8W077KQa++oxhICNrZ/752Vm1wTMpa7XM+P5ybLXbZC4VqCO4XlwGrgFOAOM3svbbvzgOfjCMbMaoBhwBRgPvCgmb0Vx77LRa5/9I1V/zS2f//S5aYUqt8mzlnG4WOepeeIxzl8zLMFLbByPT9ePZi7bIPXFof5j74PdAT+bmZ/Tt0mHKPwDHBvXAGZ2WS27vXkQrn2jmqs+qex/ZdC76xiVuzVb0l3JIjj/CRdPVjqsmZJNbP3gWuyrP8QuCTuoFx2ufzRR6lzbWz//qXbdsVe5510751iPz/NQdT5FFyZ8OqfZBX7+U/6TqbYz09zEHU+BVcmvPonWcV+/pO+Ui/289McZMySWiq2JUuqc65h6W0KEFype2Nt+WlyllTnXPPjV+rOCwXn3Ba8I0HzFqmhWdINknrkOxjnnHPJitr76MfAIkmTJZ0kyXstOedcGYr6496VIG32zsBE4D1JIyX5PaZzzpWRqDOvrTWz283s6wSJ8Z4ChgOLJT0iqX8+g3SuOUkyzYRzTa4GMrNXzWwI0JMgY+rJwOOS3pV0sVctObftPGGeS1qTf8Al7SHpV8BbwDeBR4AzgZeAW4A/xBmgc81JKSTMc+UtUpfUcO7k7wI/BI4iyJx6G3B7mP8IYLykGcAvgaF5iNW5spd0mglXHJKccyPqOIVlQBeCCXdOBx4J01ynmwO0jyk2V6J8Epltl3SaCZe8pDPVRq0+egjY18yOMrOHMhQImNkrZuZtCs2Y14nnxhPCuaSrEKP2PrrEzObnOxhX+pL+gy51PkmMS7oKMWP1kaQjmrIjM3uu8a1cuUv6D7oceJqJ5i3pKsRsbQrTgLoUqkp5na5uXUWG9a4ZSfoP2rlSN7xfrwYz1RaqCjFboXBUQSJwZSXpP2jnSl3SmWqzzdE8vSARuLKS9B+0c+UgySpET53tYud14s6VrmwNzc82YT9mZt+OIR7nnHMJynan0ILMjcvpFEMszjnnEpatTaFvAeNwzjlXBHz0cZlasmQJxx9/PB07dqRr164MGzaMmpoGB6I751y9JhUKkjpKOkTSEemPfAXots1FF13ETjvtxEcffcTcuXOZPn06v//975MOC/D5AnK1YcMGhgwZQo8ePWjfvj19+vThiSeeAGDevHlUV1fTsWNHOnbsyDHHHMO8efMSjtiVkqhZUtsAdwGDyNx+4IPXisjixYsZNmwYbdq0oWvXrvTv35+33nor6bAST/ZVDmpqathtt92YPn06u+++O5MnT2bQoEG88cYbdOvWjYcffpgePXqwadMmfve73zF48GBef/31pMN2JSLqncLVQF/gXIJCYRjwfeB5YBFwYj6Cc9vu0ksvZfz48Xz55ZcsW7aMJ554gv79k58gz3Mj5a5t27aMGjWKqqoqWrRowYknnkjPnj2ZNWsWHTp0oKqqCkmYGRUVFSxcuDDpkF0JiVoonAKMBsaH718xsz+Z2ZHAa0DyvzZuC0ceeSRvvfUW22+/PbvuuivV1dUMGDAg6bDKJjfSuHHjqK6upnXr1px33nlbrLvzzjvZc889adeuHf379+fDDz9seCcxWb58Oe+88w69e/euX9ahQwfatGnDJZdcwpVXXpnX46fz6sHGFfM5iloo7A68ZWa1wEagbcq6u4DvxR2Y23abNm2iX79+DBw4kLVr17Jy5Uo+/fRTLr/88qRDy5gDqdRyI3Xr1o2rrrqKCy64YIvl06dP58orr+TRRx9l1apV9OzZk9NPPz1vcWzcuJEzzzyTc889l7322qt++erVq/nss88YN24cffr0ydvx03nq9MYV+zmKWih8ArQLX38AHJCyrjOQ8zda0mmS3pK0SVJ1rvtrzlatWsUHH3zAsGHDaN26NZ06deL8889n8uTJSYdWNvMFDBw4kAEDBtCpU6ctlk+aNInTTjuN3r1706pVK66++mqee+45Fi1aFHsMmzZt4uyzz6ZVq1aMGzduq/Vt27blwgsv5JxzzmHFihWxH78hXj3YuGI/R1ELhZeBusuNvwLXSbpC0nBgLEHbQq7eBAYSzO7mctC5c2d69uzJbbfdRk1NDatXr+aee+7hgAMOaPzDeVbu8wWYGWa2xXuAN998M/bjDBkyhOXLl/PXv/6Vli1bNrjdpk2b6tuVCqFUqgfPOussdtllF7bffnu+9rWvceeddwKF6b1V7OcoaqHwS+Dt8PX1wLMEbQy/BN4FfpRrIGY238yKo6gsAxMmTODJJ5+kS5cu7Lnnnmy33XbcfPPNSYcFBAXDCyOOZvGYE3hhxNFlUyAAHH/88Tz44IO8/vrrrFu3jtGjRyOJL7/8Mtbj/OhHP2L+/PlMmjSJysrNN+pPP/00c+bMoba2ls8//5zLLruMjh07svfee8d6/ExKpXrwiiuuYMmSJXz++ec89thjXHXVVcyaNau+99aqVatYuXIlJ510EoMHD4712MV+jqLOvDbTzCaEr78ws1MIqpM6mNk3zez9fAbpmmbinGVc/OQq3vvGcPa5/K/c+fRrPPTQQ+y0005Jh1b2vv3tb3Pttddyyimn0KNHD6qqqmjfvj277rprbMe44/FXuP3223ll5mx26NSFyn9rS7t27fjLX/7C6tWrOf3009lhhx3YY489WLhwIU8++SRt2rSJ7fjZlEr1YO/evWndujUAkpDEokWLCtJ7q9jP0TZnSTWzDcCGpnxG0lSgawOrfm5mjzZhP0OBoQC77757U0Ioez4OIHkXX3wxF198MQDvvPMO119/Pfvuu28s+544Zxk3v/wpPS7/v/pllS0rtqiCO+2002I51rYopdTpF110EXfffTfr1q2jT58+HH/88fXrOnTowJo1a9i0aROjR4+O9bjFfo4iFwqStgeOJ+iJlH7ZYWZ2XWP7MLNjmhZexv3cAdwBUF1dHTVpX7OQrRGrWP7oykFNTQ01NTXU1tZSW1vL+vXr2W677aipqWHhwoX07t2bDz74gKFDh3LppZfSsWPHWI5bCv+/pZI6/fe//z233norL730EtOmTau/c4Cg99batWu555576NGjR+zHLuZzFKn6SNLhwBLgfmAMMKqBhysCxd6IVQ4mzllGz/5DqKysZMyYMdx3331UVlZy/fXXs379es444wzatWvHIYccwmGHHcZ11zV6vRSZ///Gq6Kigm9961ssXbqU2267bYt1SfTeKgZR7xRuISgUfgC8YWb/ijsQSd8FbgW6AI9Lmmtm/eI+TrnzOZLzq656rqJ6ED2qBwFbV9/kM6WE///mR01NTYPdhlN7bzWXNrmovY/2Bq4ys1n5KBAAzOwRM9vVzFqb2c5eIGybYm/EKnVJ9zGP8v+bLWFeqmuvvRZJTJ06Ne9xF5MVK1Ywfvx41qxZQ21tLVOmTOGBBx7g6KOPTrz3VjGIWii8D7RudCuXuHIfB5C0pKtvovz/pibM++yzz7juuusYNGgQS5Ysqd9m0aJFPPzww+yyyy4FibuYSOK2225j1113pWPHjvzXf/0Xt9xyCyeffHLivbeKgVIH2mTcSPoecBnwHTP7PO9RNUF1dbXNnDkz6TBcM3H4mGcbrL7p3qGSF0YcnUBE0ey///6MHDmSU045BYDjjjuOSy65hIsuuog777yTY46JpQ9ISZg4Z1nR9vwpJEmzzGyr7BFR2xROBHYGFkt6CViVtt7M7NwcY3Su6A3v12uLLr9Q/NVz6QnzHnroIVq1arVFF8zmwrtsNy5qofDvBPM1fw70bmC9dwt1zUKx9zFPl54wb82aNVx55ZU89dRTSYeWiFLo0pu0SIWCmVXlOQ7nSkYx9zFP1VDCvJEjR3L22WfTs2fPhKNLRtJtQqWg0YZmSa0kzZZ0bCECcs7lLlPCvGeeeYbf/va3dO3ala5du/LBBx8waNAgfvnLXyYccWEUe96hYtDonYKZ/UtST8BnfXeuRNQlzJs6deoWCfOeeeYZNm7cWP/+4IMP5qabbuK4445LIsyCK8U2oUKL2qbwNHAsQXZU51wRe++997j99ttp3bo1XbtuTjV2++23c+aZZ26xbUVFBR07dqRdu3bpuylLpdYmlISohcKtwH2StgMmAh+R1rhsZu/GG5pzblvMWbUd37zxmUg/eqljF5qLUmkTSkrUQmF6+HwZ8NMM21RkWO6cKxDvculyFbVQOD+vUTjnYuFdLl2uonZJvSffgTjncuddLl2uouY+AkBSC0n7SjpSUtt8BeWc2zbe5dLlKnKhIOli4J/A6wS9kHqFyydK+nF+wnPONYVnyXW5ijrJzg+A3xD0PBoEKGX1DOCU2CNzzjWZZ8l1uYra0HwZ8N9mdrmk9F5GbwPD4w3LObetvMuly0XU6qOewJQM69YCHWKJxjnnXKKiFgorgaoM63oBy2KJxjnnXKKiFgqTgGskfSVlmUnqTDCYbWLcgTnnnCu8qIXCVcAG4E1gKkGKi98C84FaYHReonPOOVdQkQoFM/sEqAZuBFoCiwgaqccBh5nZZ3mL0DnnXMFEmqO5mEn6GHhvGz/emaC9pFh5fLnx+HLj8eWumGPsYWZd0hdGKhQkvQt818xea2DdvsBjZvaVrT9Z3CTNbGji6mLh8eXG48uNx5e7UogxXdQ2hSqgdYZ1bYAesUTjnHMuUU3JfZTplqIaWJ17KM4555KWcUSzpJ+yee4EAyZJ+lfaZpXAjsD4/ISXd3ckHUAjPL7ceHy58fhyVwoxbiFjm4Kkk4EB4dtzgcnAx2mbbQDmAXea2Zd5itE551yBRG1o/hMw2swW5z8k55xzSYk6TuH8cisQJPWXtEDSQkkjko4nnaQlkt6QNFfSzCKI5y5JKyS9mbJsR0lPS/pH+NyxyOIbJWlZeA7nSjo+wfh2k/Q3SfMlvSXp0nB5UZzDLPEVxTmU1EbS3yW9FsZ3bbi8WM5fpviK4vw1ReRxCmGKi0HA7gQ9jlKZmQ2JOba8CTO9vgN8B1gKvAqcbmbzEg0shaQlQLWZFUUfZ0lHAGuAe81s33DZr4BVZjYmLFg7mtnlRRTfKGCNmf06iZhSSdoF2MXMZktqD8wiqJ49jyI4h1niG0QRnENJAtqa2RpJLYHngUuBgRTH+csUX3+K4Pw1RaTU2WH7wkMEdxYrCNoSUpXaCLhDgIVm9i6ApPHAyQTtI64BZvacpKq0xScDfcPX9wDTgEQKhQzxFQ0z+wj4KHz9haT5QHeK5Bxmia8oWHD1uiZ82zJ8GMVz/jLFV3Kidkm9nuBk72Jm3cysZ9qj1AaudQc+SHm/lCL6AoQMeErSLElDkw4mg53DH5O6H5WdEo6nIcMkvR5WLyVWvZUqLLz6AK9QhOcwLT4oknMoqULSXIIL06fNrKjOX4b4oEjOX1RRC4WvAL82s/TeR6VKDSwrtlL9cDM7CDgOuDisHnFNcxuwB3AgwVXwfycaDSCpHfBX4Cdm9nnS8aRrIL6iOYdmVmtmBwK7AoeE2RSKRob4iub8RRW1UHgb6JTPQApsKbBbyvtdgQ8TiqVBZvZh+LwCeISgyqvYLA/rouvqpFckHM8WzGx5+EXdBPwPCZ/DsK75r8BfzGxCuLhozmFD8RXbOQxjWk1Qc9GfIjp/dVLjK8bz15iohcLPgCu15XwKpexV4KuSekpqBQwGHks4pnqS2oaNfUhqCxxLkLa82DxGMIaF8PnRBGPZSt2PRei7JHgOw4bIPwLzzeymlFVFcQ4zxVcs51BSF0kdwteVwDEEF6vFcv4ajK9Yzl9TRB2nMIPgFqgT8A9gVdomZmZHxh9e/oRdw24BKoC7zOyGZCPaLCx8Hwnfbgfcn3R8kh4gaNDrDCwHRhJMrvQgQY+094HTzCz9byPJ+PoS3LYbsAT4YV39cwLxfQuYAbwBbAoXX0lQb5/4OcwS3+kUwTmUtD9BQ3IFwcXsg2Y2WlIniuP8ZYrvzxTB+WuKqIXCNBqpczezo2KKyTnnXEJKfj4F55xz8WlKllTnnHNlLluW1CY1KtcNBHPOOVe6smVJ3UQT+u6bWUVcQTnnnEtGtjQX5xcsCuecc0XBG5pdSZB0LMGkT4cAbQm6Hz4CjDGzT1O2M+AGM7sqkUDzRNIA4CtpYxyQ1Bf4G3CUmU0reGCu7HhDsyt6kq4EpgDrge8D/YA/EGQYfVXSbpk/XTYGAJc1sHw2cFj47FzOImVJdS4pko4iSMh4i5n9NGXVdEmPEKR4vhcomnEyklqbWXom4bwI8xO9XIhjuebB7xRcsfsZwQj6K9JXhBM/jQH6Sjo0ZZUk/VzSUknrJD0n6UC23KCfpBclfSZpjYIJl65J2+YASY9J+jTczwuS/j1tm7vD4xwW7m8d8CtJkyXNSo9Z0i6SaiT9JHzfRdLtkt6R9KWkDyTdL6l76jEIUjh0l2ThY0m4rm/4vm/qP17ST8N/078kfSRpnKTt02IxSddL+rGkxZK+kDRdUu9M/xmu/Hmh4IqWpO2AIwnSEK/PsFldzqqjU5adAxwPDCOoYtoZeEbSjuF+vxJ+bjHwPeAk4CaCtoq6Yx8EvAjsCPwAOAX4BJgq6etpMewAjAceIMhqez/B3ctBkvZJ2/aM8PmB8HlHgmqxKwgSvA0Hvgq8IKluMqvr2DxH+mHh47sZzgfADeG/52ngP4BfhefhcUnp3/mzgBMIJoQ5nyBdxKPhuXfNkZn5wx9F+SD4MTfgxizbtAm3+X343oCVBLNg1W1TBWwErgvfnxput32W/T4DzAdapSyrCJdNTFl2d7ivk9M+Xwl8lh47MBeYnOW4FQQZfA34btpxljawfd9w277h+7pC5u607c4KtzspZZkR5DJrmbKs7tx8M+n/f38k8/A7BVfMGpr3IorJZra27o2ZLSGodz8sXDSXoJAYL+lUSVtMzBJmuTySYLbBTZK2C6+cBUwF0ue2qAH+L3WBma0jSEN9ZpiBFEn7AQcQ3EWkHu9HCub2XRPu6/1wVa+m/9P5BtAauC9t+fhw3+mJK582s40p798In3ffhmO7MuCFgitmK4F1BFf6mdStS51Jb3kD2y0nnF3PzBYS9GBqAfwZ+KekVyTV/WDuSHDFfjVB4ZH6GAZ0TKuGWWFmtQ0c816Cq/6+4fuzgS9ISe8s6RLg9wSFzUCCLrffCFenz4UexY7h8xaZOM2shqD6a8e07dMzitY1kG/LsV0Z8HpDV7TMrEbSc8B3JLWxhtsVTgqfn01ZtnMD2+0MLEvZ99+Av0lqDRwOjCaoc68CVhOkj/4daVf1KZ/flPo2wz9hOsFV/1mSphOkoX44vIuoMxh4xsz+s26BpJ4Z9hdF3Y98V+CtlH1uR5D6/pMc9u2aAb9TcMVuLMGP2S/SV4Q/npcDz9nm+XABjlcwOVHddlUEV98vpe/DzDaY2bMEjbFtgZ5h1dMMgqqe2WY2M/0RJXAzM+AvBPX0xxPM8JdeyPwbwR1IqoayCWwgaKdozMvhtoPTln+P4CJweoR9uGbM7xRcUTOzZ8KuoqPDH/d7gU+Bg4ARBI25Z6d9bB3wlKSxBPXr1wKfAzcDSLqQoF1gMkG1U2eC3j8fsnlmrMuA54Apkv5IUB3TOTxuhZmNiPhPuDfc9x/CY6X/KD8JXB4O0Ps7QS+qUxvYzzxgR0k/AmYC683sjfSNzGyVpJuAKyStDf+NexOM9XgeeDxi3K6Z8kLBFT0zu07SqwRpLv5EcHX9PsEP7o229Uxb9wJrgXEEP+SvAoNTtnuNoOvojcBOBFUuzwNn1lXtmNlsSQcTzOD2W4Jupx8TjBz+QxNif1vSTKA6jDW9qmk00CH8t7UhKDT6AelZh+8kuNv5Rbj9e2Rua/l5GOuFwEUEVUb3AlekVXs5txXPfeScc66etyk455yr54WCc865el4oOOecq+eFgnPOuXpeKDjnnKvnhYJzzrl6Xig455yr54WCc865el4oOOecq/f/8szVzE96DSMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='resid', threshold=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='dfbeta', idx=1, threshold=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='dfbeta', idx=2, threshold=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='dfbeta', idx=0, threshold=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
