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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lifelines examples\n",
    "##### Divorce Rates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/camerondavidson-pilon/.virtualenvs/data/lib/python2.7/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['datetime']\n",
      "`%matplotlib` prevents importing * from pylab and numpy\n",
      "  \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n"
     ]
    }
   ],
   "source": [
    "from lifelines.estimation import AalenAdditiveFitter\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import patsy\n",
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
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   "outputs": [
    {
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     "output_type": "stream",
     "text": [
      "/Users/camerondavidson-pilon/.virtualenvs/data/lib/python2.7/site-packages/ipykernel/__main__.py:1: ParserWarning: Falling back to the 'python' engine because the 'c' engine does not support regex separators (separators > 1 char and different from '\\s+' are interpreted as regex); you can avoid this warning by specifying engine='python'.\n",
      "  if __name__ == '__main__':\n"
     ]
    }
   ],
   "source": [
    "data = pd.read_csv('../lifelines/datasets/divorce.dat', sep=\"\\s{2,10}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>heduc</th>\n",
       "      <th>heblack</th>\n",
       "      <th>mixed</th>\n",
       "      <th>years</th>\n",
       "      <th>div</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>9</td>\n",
       "      <td>12-15 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>10.546</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>11</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>34.943</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>13</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>2.834</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>15</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>17.532</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>33</td>\n",
       "      <td>12-15 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>1.418</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>36</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>48.033</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>43</td>\n",
       "      <td>16+ years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>16.706</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>47</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>24.999</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>50</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>24.999</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>56</td>\n",
       "      <td>&lt; 12 years</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>3.869</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   id        heduc heblack mixed   years  div\n",
       "0   9  12-15 years      No    No  10.546   No\n",
       "1  11   < 12 years      No    No  34.943   No\n",
       "2  13   < 12 years      No    No   2.834  Yes\n",
       "3  15   < 12 years      No    No  17.532  Yes\n",
       "4  33  12-15 years      No    No   1.418   No\n",
       "5  36   < 12 years      No    No  48.033   No\n",
       "6  43    16+ years      No    No  16.706   No\n",
       "7  47   < 12 years      No    No  24.999   No\n",
       "8  50   < 12 years      No    No  24.999   No\n",
       "9  56   < 12 years     Yes    No   3.869   No"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "df = patsy.dmatrix('heduc + heblack + heblack:mixed + years + mixed + div -1 ', data, return_type='dataframe')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>heduc[12-15 years]</th>\n",
       "      <th>heduc[16+ years]</th>\n",
       "      <th>heduc[&lt; 12 years]</th>\n",
       "      <th>heblack[T.Yes]</th>\n",
       "      <th>mixed[T.Yes]</th>\n",
       "      <th>div[T.Yes]</th>\n",
       "      <th>heblack[T.Yes]:mixed[T.Yes]</th>\n",
       "      <th>years</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
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       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
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       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>17.532</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.418</td>\n",
       "    </tr>\n",
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       "</div>"
      ],
      "text/plain": [
       "   heduc[12-15 years]  heduc[16+ years]  heduc[< 12 years]  heblack[T.Yes]  \\\n",
       "0                 1.0               0.0                0.0             0.0   \n",
       "1                 0.0               0.0                1.0             0.0   \n",
       "2                 0.0               0.0                1.0             0.0   \n",
       "3                 0.0               0.0                1.0             0.0   \n",
       "4                 1.0               0.0                0.0             0.0   \n",
       "\n",
       "   mixed[T.Yes]  div[T.Yes]  heblack[T.Yes]:mixed[T.Yes]   years  \n",
       "0           0.0         0.0                          0.0  10.546  \n",
       "1           0.0         0.0                          0.0  34.943  \n",
       "2           0.0         1.0                          0.0   2.834  \n",
       "3           0.0         1.0                          0.0  17.532  \n",
       "4           0.0         0.0                          0.0   1.418  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Aalen's Additive Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "aaf = AalenAdditiveFitter(fit_intercept=True, coef_penalizer=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "timeline = np.linspace(0, 35, 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " [-----------------100%-----------------] 1032 of 1032 complete in 1.2 sec\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<lifelines.AalenAdditiveFitter: fitted with 3371 observations, 2339 censored>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aaf.fit(df, 'years', event_col='div[T.Yes]', timeline=timeline)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
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   "outputs": [
    {
     "data": {
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       "<matplotlib.legend.Legend at 0x10ee4a5d0>"
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     "execution_count": 27,
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CQgKffvopGzZs4KWXXmLv3r3apU1EROqkkh/yMYsdBI/tgG/H4PJJwz+uo275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HNC27srq/yvLQsXoQwOIfbxx466jcvZItp10mVMEASm3tKfha/uoPygFPkPCu6Z56CmFctx5RdQ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\nz25wDgXNmksAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115409c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figsize(12.5, 8.5)\n",
    "aaf.cumulative_hazards_.plot()\n",
    "plt.legend(loc='upper left')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Cox's Proportional Hazard Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from lifelines import CoxPHFitter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<lifelines.CoxPHFitter: fitted with 3371 observations, 2339 censored>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cp = CoxPHFitter(penalizer=0.5)\n",
    "cp.fit(df, 'years', event_col='div[T.Yes]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11505fe90>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VPbmqLll5rUejrVu3ZuvWretdBsCqLC4uZn5+Pps2bcr8/HwWFxfXuySAVdlIP4PdYL0L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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115043490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cp.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}