{ "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": [ { "data": { "text/html": [ "
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modellifelines.CoxPHFitter
duration col'week'
event col'arrest'
strata[age_strata, wexp]
baseline estimationbreslow
number of observations432
number of events observed114
partial log-likelihood-434.50
time fit was run2020-07-26 22:06:07 UTC
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coefexp(coef)se(coef)coef lower 95%coef upper 95%exp(coef) lower 95%exp(coef) upper 95%zp-log2(p)
covariate
fin-0.410.670.19-0.79-0.030.460.97-2.100.044.82
race0.291.330.31-0.320.900.732.450.930.351.50
mar-0.340.710.39-1.100.420.331.52-0.870.381.38
paro-0.100.910.20-0.480.290.621.33-0.500.620.70
prio0.081.080.030.020.141.031.152.83<0.0057.73
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Concordance0.57
Partial AIC879.01
log-likelihood ratio test13.12 on 5 df
-log2(p) of ll-ratio test5.49
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" ], "text/latex": [ "\\begin{tabular}{lrrrrrrrrrr}\n", "\\toprule\n", "{} & coef & exp(coef) & se(coef) & coef lower 95\\% & coef upper 95\\% & exp(coef) lower 95\\% & exp(coef) upper 95\\% & z & p & -log2(p) \\\\\n", "covariate & & & & & & & & & & \\\\\n", "\\midrule\n", "fin & -0.41 & 0.67 & 0.19 & -0.79 & -0.03 & 0.46 & 0.97 & -2.10 & 0.04 & 4.82 \\\\\n", "race & 0.29 & 1.33 & 0.31 & -0.32 & 0.90 & 0.73 & 2.45 & 0.93 & 0.35 & 1.50 \\\\\n", "mar & -0.34 & 0.71 & 0.39 & -1.10 & 0.42 & 0.33 & 1.52 & -0.87 & 0.38 & 1.38 \\\\\n", "paro & -0.10 & 0.91 & 0.20 & -0.48 & 0.29 & 0.62 & 1.33 & -0.50 & 0.62 & 0.70 \\\\\n", "prio & 0.08 & 1.08 & 0.03 & 0.02 & 0.14 & 1.03 & 1.15 & 2.83 & 0.00 & 7.73 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n" ], "text/plain": [ "\n", " duration col = 'week'\n", " event col = 'arrest'\n", " strata = ['age_strata', 'wexp']\n", " baseline estimation = breslow\n", " number of observations = 432\n", "number of events observed = 114\n", " partial log-likelihood = -434.50\n", " time fit was run = 2020-07-26 22:06:07 UTC\n", "\n", "---\n", " coef exp(coef) se(coef) coef lower 95% coef upper 95% exp(coef) lower 95% exp(coef) upper 95%\n", "covariate \n", "fin -0.41 0.67 0.19 -0.79 -0.03 0.46 0.97\n", "race 0.29 1.33 0.31 -0.32 0.90 0.73 2.45\n", "mar -0.34 0.71 0.39 -1.10 0.42 0.33 1.52\n", "paro -0.10 0.91 0.20 -0.48 0.29 0.62 1.33\n", "prio 0.08 1.08 0.03 0.02 0.14 1.03 1.15\n", " z p -log2(p)\n", "covariate \n", "fin -2.10 0.04 4.82\n", "race 0.93 0.35 1.50\n", "mar -0.87 0.38 1.38\n", "paro -0.50 0.62 0.70\n", "prio 2.83 <0.005 7.73\n", "---\n", "Concordance = 0.57\n", "Partial AIC = 879.01\n", "log-likelihood ratio test = 13.12 on 5 df\n", "-log2(p) of ll-ratio test = 5.49" ] }, "metadata": {}, "output_type": "display_data" }, { "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": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/camerondavidson-pilon/code/lifelines/lifelines/utils/__init__.py:924: UserWarning: DataFrame Index is not unique, defaulting to incrementing index instead.\n", " warnings.warn(\"DataFrame Index is not unique, defaulting to incrementing index instead.\")\n" ] }, { "data": { "text/html": [ "
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weekarrestmartingale
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795.0True0.972812
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\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 0.947726\n", "225 7.0 True 0.976976\n", "138 8.0 True 0.920272" ] }, "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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" ] }, "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 symmetric around 0. Deviance residuals are a transform of martingale residuals them symmetric. \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": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/camerondavidson-pilon/code/lifelines/lifelines/utils/__init__.py:924: UserWarning: DataFrame Index is not unique, defaulting to incrementing index instead.\n", " warnings.warn(\"DataFrame Index is not unique, defaulting to incrementing index instead.\")\n" ] }, { "data": { "text/html": [ "
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weekarrestdeviance
3131.0True2.666810
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\n", "
" ], "text/plain": [ " week arrest deviance\n", "313 1.0 True 2.666810\n", "79 5.0 True 2.294413\n", "60 6.0 True 2.001768\n", "225 7.0 True 2.364001\n", "138 8.0 True 1.793802" ] }, "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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", "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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", 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finracemarparoprioweekarrest
313-0.005650-0.0115940.012142-0.027450-0.02048611
79-0.005761-0.0058100.007687-0.020926-0.01337351
60-0.005783-0.0001470.003277-0.014325-0.00631561
2250.014998-0.0415690.004855-0.002254-0.01572571
1380.0115720.005331-0.0042400.0130360.00440581
\n", "
" ], "text/plain": [ " fin race mar paro prio week arrest\n", "313 -0.005650 -0.011594 0.012142 -0.027450 -0.020486 1 1\n", "79 -0.005761 -0.005810 0.007687 -0.020926 -0.013373 5 1\n", "60 -0.005783 -0.000147 0.003277 -0.014325 -0.006315 6 1\n", "225 0.014998 -0.041569 0.004855 -0.002254 -0.015725 7 1\n", "138 0.011572 0.005331 -0.004240 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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", 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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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 2 }