{ "metadata": { "name": "", "signature": "sha256:dc889526d26409a4cd4617ac497dabdfe766a352c8e36616001771f456711c1d" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%load_ext rpy2.ipython" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We mustn't be afraid to dream a little bigger :)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(survival)\n", "\n", "addicts <- read.csv(\"demo_surv/addicts.csv\", head=TRUE)\n", "\n", "Y <- with(addicts, Surv(survtime, status == 1))\n", "\n", "model_coxph <- coxph(Y ~ strata(clinic) + prison + mdosedata, data=addicts)\n", "print(summary(model_coxph))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "Loading required package: splines\n", "Call:\n", "coxph(formula = Y ~ strata(clinic) + prison + mdosedata, data = addicts)\n", "\n", " n= 238, number of events= 150 \n", "\n", " coef exp(coef) se(coef) z Pr(>|z|) \n", "prison 0.3690 1.4463 0.1685 2.191 0.0285 * \n", "mdosedata -0.4349 0.6473 0.1031 -4.218 2.46e-05 ***\n", "---\n", "Signif. codes: 0 \u2018***\u2019 0.001 \u2018**\u2019 0.01 \u2018*\u2019 0.05 \u2018.\u2019 0.1 \u2018 \u2019 1\n", "\n", " exp(coef) exp(-coef) lower .95 upper .95\n", "prison 1.4463 0.6914 1.0396 2.0121\n", "mdosedata 0.6473 1.5449 0.5289 0.7923\n", "\n", "Concordance= 0.628 (se = 0.033 )\n", "Rsquare= 0.087 (max possible= 0.994 )\n", "Likelihood ratio test= 21.54 on 2 df, p=2.103e-05\n", "Wald test = 21.53 on 2 df, p=2.108e-05\n", "Score (logrank) test = 22.11 on 2 df, p=1.583e-05\n", "\n", "NULL\n" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(ggplot2)\n", "library(data.table)\n", "\n", "source('demo_surv/myggsurv.R')\n", "model_clinic <- with(addicts, Surv(survtime, status==1) ~ clinic)\n", "g_dose <- myggsurv(\n", " survfit(model_clinic),\n", " xlab='Time stay in the experiement (days)', ylab='Survival probability'\n", ") + theme_classic(18)\n", "\n", "g <- g_dose + theme(legend.position=c(0, 0), legend.justification=c(0, 0)) + \n", " labs(title='KM curves', color='Categories') +\n", " scale_color_brewer(palette='Paired')\n", "show(g)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "data.table 1.9.2 For help type: help(\"data.table\")\n", "Scale for 'colour' is already present. Adding another scale for 'colour', which will replace the existing scale.\n", "NULL\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAYAAAB91L6VAAAEJGlDQ1BJQ0MgUHJvZmlsZQAAOBGF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\nBgFjwI1mKKwjhoAhYAgYArWEwP8DAE88zPcJLEMAAAAASUVORK5CYII=\n" } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 } ], "metadata": {} } ] }