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LOCO pvalues?
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<dl class=dl-horizontal>\n", | |
| "\t<dt>6</dt>\n", | |
| "\t\t<dd>0.515421962810288</dd>\n", | |
| "\t<dt>7</dt>\n", | |
| "\t\t<dd>0.138553179340851</dd>\n", | |
| "\t<dt>8</dt>\n", | |
| "\t\t<dd>0.762607896267977</dd>\n", | |
| "\t<dt>9</dt>\n", | |
| "\t\t<dd>0.0100320189658345</dd>\n", | |
| "\t<dt>10</dt>\n", | |
| "\t\t<dd>0.513685524043914</dd>\n", | |
| "</dl>\n" | |
| ], | |
| "text/latex": [ | |
| "\\begin{description*}\n", | |
| "\\item[6] 0.515421962810288\n", | |
| "\\item[7] 0.138553179340851\n", | |
| "\\item[8] 0.762607896267977\n", | |
| "\\item[9] 0.0100320189658345\n", | |
| "\\item[10] 0.513685524043914\n", | |
| "\\end{description*}\n" | |
| ], | |
| "text/markdown": [ | |
| "6\n", | |
| ": 0.5154219628102887\n", | |
| ": 0.1385531793408518\n", | |
| ": 0.7626078962679779\n", | |
| ": 0.010032018965834510\n", | |
| ": 0.513685524043914\n", | |
| "\n" | |
| ], | |
| "text/plain": [ | |
| " 6 7 8 9 10 \n", | |
| "0.51542196 0.13855318 0.76260790 0.01003202 0.51368552 " | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "library(conformalInference)\n", | |
| "\n", | |
| "simulate = function(n=200, p=10, s=5) {\n", | |
| " X = matrix(rnorm(n*p), n, p)\n", | |
| " beta = c(rep(3, s), rep(0, p-s)) / sqrt(n)\n", | |
| " Y = rnorm(n) + X %*% beta\n", | |
| " funs = lm.funs()\n", | |
| "\n", | |
| " out = loco(X, Y, alpha=0.1, train.fun=funs$train.fun,\n", | |
| " predict.fun=funs$predict.fun,\n", | |
| " active.fun=funs$active.fun)\n", | |
| "\n", | |
| " # Construct null 2-sided pvalues\n", | |
| " \n", | |
| " U = out$inf.wilcox[[1]][,3]\n", | |
| " L = out$inf.wilcox[[1]][,2]\n", | |
| " B = (U + L) / 2\n", | |
| " SE = (U - L) / (2 * qnorm(1 - 0.1 / (2 * p)))\n", | |
| " Z = B / SE\n", | |
| " p0 = pnorm(Z)\n", | |
| " p0 = 2 * pmin(p0, 1 - p0)\n", | |
| " return(p0[(s+1):p]) \n", | |
| "}\n", | |
| "\n", | |
| "simulate()\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "nsim = 100\n", | |
| "p = 100\n", | |
| "n = 220\n", | |
| "P0 = c()\n", | |
| "PB = c()\n", | |
| "for (i in 1:nsim) {\n", | |
| " p0 = simulate(n=n, p=p)\n", | |
| " P0 = c(P0, p0)\n", | |
| " PB = c(PB, min(p0))\n", | |
| "}" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Marginal p-values\n", | |
| "\n", | |
| "Not quite p-values..." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
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exfKy8KpFY6vNaVAAVSV2y8CQEEEEAAAQQQWETgKD3zoBIKI59G9ztlmFLWdrA6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\nPxh9UMu/SxmBAAAAAElFTkSuQmCC", | |
| "text/plain": [ | |
| "Plot with title “ecdf(P0)”" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plot(ecdf(P0), xlim=c(0,1), ylim=c(0,1))\n", | |
| "abline(0,1)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## The simultaneous ones\n", | |
| "\n", | |
| "These look better but this is artificially because of Bonferroni. Bonferroni adjusted p-values should not be uniform under the null hypothesis. It is the smallest Bonferroni adjusted p-value that should be larger than uniform.\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "0.218842105263158" | |
| ], | |
| "text/latex": [ | |
| "0.218842105263158" | |
| ], | |
| "text/markdown": [ | |
| "0.218842105263158" | |
| ], | |
| "text/plain": [ | |
| "[1] 0.2188421" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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9MchcgX0r8jTydpW5LiM3ndLiNLbXWG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Zs8BLsv06yvfiMe/H5gkQIECAAIH2CBgg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\nAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABAgQIECBAgAABA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AAAAABJRU5ErkJggg==", | |
| "text/plain": [ | |
| "Plot with title “ecdf(pmin(P0 * p, 1))”" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plot(ecdf(pmin(P0*p, 1)), xlim=c(0,1), ylim=c(0,1))\n", | |
| "abline(0,1)\n", | |
| "mean(P0*p < 0.05)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## The smallest null p-value\n", | |
| "\n", | |
| "The smallest null Bonferroni p-value not larger than uniform." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "1" | |
| ], | |
| "text/latex": [ | |
| "1" | |
| ], | |
| "text/markdown": [ | |
| "1" | |
| ], | |
| "text/plain": [ | |
| "[1] 1" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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CCAAAIIIJBPwMmQrxD5vvboPPJVjfthDJ6+r6LOhQSp4kd/lNrvRGh5xbwl2RcS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\nAQIECBAgQIBA8wUMk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| |
| "text/plain": [ | |
| "Plot with title “ecdf(pmin(PB * p, 1))”" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plot(ecdf(pmin(PB*p, 1)))\n", | |
| "abline(0,1)\n", | |
| "mean(PB < 0.05)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "metadata": { | |
| "anaconda-cloud": {}, | |
| "kernelspec": { | |
| "display_name": "R", | |
| "language": "R", | |
| "name": "ir" | |
| }, | |
| "language_info": { | |
| "codemirror_mode": "r", | |
| "file_extension": ".r", | |
| "mimetype": "text/x-r-source", | |
| "name": "R", | |
| "pygments_lexer": "r", | |
| "version": "3.3.1" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 2 | |
| } |
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