{
 "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:                Mon, 24 Feb 2020   Deviance:                       29.227\n",
      "Time:                        22:49:06   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": {
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       "<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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\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": "3.8.2rc2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
