{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "* *Assessing the Probability That a Positive Report is False: An Approach for Molecular Epidemiology Studies* by Sholom Wacholder, Stephen Chanock, Montserrat Garcia-Closas, Laure El ghormli, Nathaniel Rothman (2004)\n", "* *Why Most Published Research Findings Are False* by John P. A. Ioannidis (2005)\n", "* *Power failure: why small sample size undermines the reliability of neuroscience* by Katherine S. Button, John P. A. Ioannidis, Claire Mokrysz, Brian A. Nosek, Jonathan Flint, Emma S. J. Robinson and Marcus R. Munaf\u00f2 (2013)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "* $H_0$ : the null hypothesis\n", "* $H_A$ : the alternative hypothesis\n", "* $\\pi$ : prior probability $H_A$ is true ($H_0$ is false)\n", "* $\\alpha$ : false positive rate - probability for test to reject $H_0$ when $H_0$ is true ($H_A$ is false)\n", "* $\\beta$ : false negative rate - probability for test to accept $H_0$ when $H_A$ is true ($H_0$ is false)\n", "* $1 - \\beta$ : power - probability we will reject $H_0$ if $H_A$ is true ($H_0$ is false)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Table from Wacholder et al\n", "from IPython.core.display import Image\n", "Image('pics/h0_table.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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mz8/IyNi/f/+sWbP+b0nMzbOysuTHv0iX69+0k4yMjHx8fE6Fh6empHz19ddK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\nyvi+enp6BkOG4K4LlpaWDAZjhMYN/oyNjQPmztVkyzfeeCM8PHzp0qV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"prompt_number": 2, "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "def ppv(pi, beta, alpha=0.05):\n", " \"\"\" Positive predictive value from Ioannidis 2005\n", " \n", " This is the probability that the finding is true if the paper reports a \n", " significant result\n", " \"\"\"\n", " true_sig = (1 - beta) * pi\n", " false_sig = alpha * (1 - pi)\n", " return true_sig / (true_sig + false_sig)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's say there's a 50% prior probability that the finding was true (fairly safe bet) but the power is low (20%):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ppv(0.5, 0.8, 0.05)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ "0.8" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Maybe the bet is not so safe - and the prior probability is 20% (page 336 of Button et al)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ppv(0.2, 0.8, 0.05)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "0.4999999999999999" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, if the prior odds were 20%, and the power is 20%, then a significant finding has less than 50% chance of reflecting an actual true finding." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Put another way - a positive finding in a low powered study is only likely to be correct if it was reasonably likely before you did the study." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add bias. $u$ is the proportion of non-significant results that have been declared significant as a result of bias." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def biased_ppv(pi, beta, u, alpha=0.05):\n", " \"\"\" Positive predictive value with bias, from Ioannidis 2005\n", " \n", " This is the probability that the finding is true if the paper reports a \n", " significant result, in the presence of bias\n", " \"\"\"\n", " true_sig = (1 - beta) * pi + u * beta * pi\n", " false_sig = alpha * (1 - pi) + u * (1 - alpha) * (1 - pi)\n", " return true_sig / (true_sig + false_sig) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reproduce figure 1 from Ioannidis 2005" ] }, { "cell_type": "code", "collapsed": false, "input": [ "R = np.linspace(0, 1)\n", "p = R / (R + 1)\n", "for u in [0.05, 0.2, 0.5, 0.8]:\n", " plt.plot(R, biased_ppv(p, 0.2, u), label='u={0}'.format(u))\n", "plt.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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zJCQkULduXf1ErJTZ7t0wezakpsLcuTBsmCrWpfwjPjOekNgQjlw7QkhsCMeuH8O6pjXe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\nbct9z56yj23P1mQzbus4Pn/mcxytCq+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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure is not exactly the same as the Ioannidis figure:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image('pics/ioannidis_figure1.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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2miEIwmK1aUtNBAFZli3WGPD72my1aUqNBIQAgGKN3mqjKZIwma0dWkcOiG/DTym8H7gm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\nc0auQSdlUhSJ40S5+tOQ0vs9cACANu2h6uU5XVYkbmIjdAsw6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VUvIoYDh4qonohe5ThI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"prompt_number": 8, "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check : the formula is:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('pics/bias_formula.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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"prompt_number": 9, "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that looks like our figure, not the paper figure:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def biased_ppv_paper(alpha, beta, R, u):\n", " return (\n", " ((1 - beta) * R + u * beta * R) /\n", " (R + alpha - beta * R + u - u * alpha + u * beta * R))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "for u in [0.05, 0.2, 0.5, 0.8]:\n", " plt.plot(R, biased_ppv_paper(0.05, 0.2, R, u), label='u={0}'.format(u))\n", "plt.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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zJCQkULduXf1ErJTZ7t0wezakpsLcuTBsmCrWpfwjPjOekNgQjlw7QkhsCMeuH8O6pjXe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\nH1vO616vy2+ePw8vvAAbNpDk5kb/06e5ePs2R9Q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