{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "from matplotlib import pyplot as plt\n", "from lifelines import CoxPHFitter\n", "import numpy as np\n", "import pandas as pd\n", "from lifelines.datasets import load_rossi\n", "\n", "plt.style.use('bmh')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assessing Cox model fit using residuals (work in progress)\n", "\n", "This tutorial is on some common use cases of the (many) residuals of the Cox model. We can use resdiuals to diagnose a model's poor fit to a dataset, and improve an existing model's fit. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = load_rossi()\n", "\n", "df['age_strata'] = pd.cut(df['age'], np.arange(0, 80, 5))\n", "df = df.drop('age', axis=1)\n", "\n", "cph = CoxPHFitter()\n", "cph.fit(df, 'week', 'arrest', strata=['age_strata', 'wexp'])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " duration col = 'week'\n", " event col = 'arrest'\n", " strata = ['age_strata', 'wexp']\n", "number of subjects = 432\n", " number of events = 114\n", " log-likelihood = -434.50\n", " time fit was run = 2019-02-19 17:39:13 UTC\n", "\n", "---\n", " coef exp(coef) se(coef) z p -log2(p) lower 0.95 upper 0.95\n", "fin -0.41 0.67 0.19 -2.10 0.04 4.82 -0.79 -0.03\n", "race 0.29 1.33 0.31 0.93 0.35 1.50 -0.32 0.90\n", "mar -0.34 0.71 0.39 -0.87 0.38 1.38 -1.10 0.42\n", "paro -0.10 0.91 0.20 -0.50 0.62 0.70 -0.48 0.29\n", "prio 0.08 1.08 0.03 2.83 <0.005 7.73 0.02 0.14\n", "---\n", "Concordance = 0.57\n", "Log-likelihood ratio test = 481.75 on 5 df, -log2(p)=336.05\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 260, "width": 375 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "cph.print_summary()\n", "cph.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Martingale residuals\n", "\n", "Defined as:\n", "\n", "$$ \\delta_i - \\Lambda(T_i) \\\\ = \\delta_i - \\beta_0(T_i)\\exp(\\beta^T x_i)$$\n", "\n", "where $T_i$ is the total observation time of subject $i$ and $\\delta_i$ denotes whether they died under observation of not (`event_observed` in _lifelines_). \n", "\n", "From [1]:\n", "\n", "> Martingale residuals take a value between $[1,−\\inf]$ for uncensored observations and $[0,−\\inf]$ for censored observations. Martingale residuals can be used to assess the true functional form of a particular covariate (Thernau et al. (1990)). It is often useful to overlay a LOESS curve over this plot as they can be noisy in plots with lots of observations. Martingale residuals can also be used to assess outliers in the data set whereby the survivor function predicts an event either too early or too late, however, it's often better to use the deviance residual for this.\n", "\n", "From [2]:\n", "\n", "> Positive values mean that the patient died sooner than\n", "expected (according to the model); negative values mean that\n", "the patient lived longer than expected (or were censored)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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weekarrestmartingale
3131.0True0.989383
795.0True0.972812
606.0True0.947727
2257.0True0.976976
1388.0True0.920273
\n", "
" ], "text/plain": [ " week arrest martingale\n", "313 1.0 True 0.989383\n", "79 5.0 True 0.972812\n", "60 6.0 True 0.947727\n", "225 7.0 True 0.976976\n", "138 8.0 True 0.920273" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r = cph.compute_residuals(df, 'martingale')\n", "r.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 260, "width": 399 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r.plot.scatter(\n", " x='week', y='martingale', c=np.where(r['arrest'], '#008fd5', '#fc4f30'),\n", " alpha=0.75\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Deviance residuals\n", "\n", "One problem with martingale residuals is that they are not symetric around 0. Deviance residuals are a transform of martingale residuals them symetric. \n", "\n", "- Roughly symmetric around zero, with approximate standard deviation equal to 1.\n", "- Positive values mean that the patient died sooner than expected.\n", "- Negative values mean that the patient lived longer than expected (or were censored).\n", "- Very large or small values are likely outliers.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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weekarrestdeviance
3131.0True2.666807
795.0True2.294411
606.0True2.001769
2257.0True2.363998
1388.0True1.793808
\n", "
" ], "text/plain": [ " week arrest deviance\n", "313 1.0 True 2.666807\n", "79 5.0 True 2.294411\n", "60 6.0 True 2.001769\n", "225 7.0 True 2.363998\n", "138 8.0 True 1.793808" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r = cph.compute_residuals(df, 'deviance')\n", "r.head()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 260, "width": 383 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "r.plot.scatter(\n", " x='week', y='deviance', c=np.where(r['arrest'], '#008fd5', '#fc4f30'),\n", " alpha=0.75\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "r = r.join(df.drop(['week', 'arrest'], axis=1))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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finracemarparoprioweekarrest
313-0.005650-0.0115930.012142-0.027450-0.02048611
79-0.005761-0.0058100.007687-0.020926-0.01337251
60-0.005783-0.0001460.003277-0.014325-0.00631561
2250.014998-0.0415680.004855-0.002254-0.01572571
1380.0115720.005331-0.0042410.0130360.00440581
\n", "
" ], "text/plain": [ " fin race mar paro prio week arrest\n", "313 -0.005650 -0.011593 0.012142 -0.027450 -0.020486 1 1\n", "79 -0.005761 -0.005810 0.007687 -0.020926 -0.013372 5 1\n", "60 -0.005783 -0.000146 0.003277 -0.014325 -0.006315 6 1\n", "225 0.014998 -0.041568 0.004855 -0.002254 -0.015725 7 1\n", "138 0.011572 0.005331 -0.004241 0.013036 0.004405 8 1" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r = cph.compute_residuals(df, 'delta_beta')\n", "r.head()\n", "r = r.join(df[['week', 'arrest']])\n", "r.head()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 244, "width": 383 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(r['week'], r['prio'], color=np.where(r['arrest'], '#008fd5', '#fc4f30'))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[1] https://stats.stackexchange.com/questions/297740/what-is-the-difference-between-the-different-residuals-in-survival-analysis-cox\n", "\n", "[2] http://myweb.uiowa.edu/pbreheny/7210/f15/notes/11-10.pdf" ] } ], "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": "3.7.2" } }, "nbformat": 4, "nbformat_minor": 2 }