{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "0dca6b81-cbb0-4479-934f-0fba8e53f79a", "metadata": {}, "outputs": [], "source": [ "using Distributions\n", "using Optim\n", "using Random\n", "using Roots\n", "using StaticArrays\n", "using StatsFuns\n", "using StatsPlots\n", "default(fmt=:png, titlefontsize=10, size=(400, 250))" ] }, { "cell_type": "code", "execution_count": 2, "id": "34fea803-f746-4f81-aba8-6bd193ba83ad", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sim_chisqstat_β (generic function with 1 method)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "logisticmodel(α, β, x) = Bernoulli(logistic(α + β*x))\n", "\n", "randlogistic(α, β, x) = @. rand(logisticmodel(α, β, x))\n", "\n", "function negloglik(x, y, α, β)\n", " -sum(logpdf(logisticmodel(α, β, x), y) for (x, y) in zip(x, y))\n", "end\n", "\n", "function score_α(x, y, α, β)\n", " sum(logistic(α + β*x) - y for (x, y) in zip(x, y))\n", "end\n", "\n", "function score_β(x, y, α, β)\n", " sum(x*(logistic(α + β*x) - y) for (x, y) in zip(x, y))\n", "end\n", "\n", "function fisherinfo_αα(x, α, β)\n", " sum(exp(-(α + β*x))*logistic(α + β*x)^2 for x in x)\n", "end\n", "\n", "function fisherinfo_αβ(x, α, β)\n", " sum(x*exp(-(α + β*x))*logistic(α + β*x)^2 for x in x)\n", "end\n", "\n", "function fisherinfo_ββ(x, α, β)\n", " sum(x^2*exp(-(α + β*x))*logistic(α + β*x)^2 for x in x)\n", "end\n", "\n", "function fisherinfo(x, α, β)\n", " a = fisherinfo_αα(x, α, β)\n", " b = fisherinfo_αβ(x, α, β)\n", " c = fisherinfo_ββ(x, α, β)\n", " a, b, c\n", "end\n", "\n", "function invsym2x2(a, b, c)\n", " det = a*c - b^2\n", " c/det, -b/det, a/det\n", "end\n", "\n", "function invfisherinfo(x, α, β)\n", " invsym2x2(fisherinfo(x, α, β)...)\n", "end\n", "\n", "function mle(x, y; alg=LBFGS())\n", " f(w) = negloglik(x, y, w[1], w[2])\n", " o = optimize(f, MVector(0.0, 0.0), alg)\n", " o.minimizer\n", "end\n", "\n", "function sim_Z(;\n", " α=1, β=2, xnew=1, n=40,\n", " x=rand(Uniform(-3, 2), n),\n", " L=10^4, alg=LBFGS()\n", " )\n", " Z = zeros(0)\n", " alphahat = zeros(0)\n", " betahat = zeros(0)\n", " for _ in 1:L\n", " y = randlogistic(α, β, x)\n", " α̂, β̂ = mle(x, y; alg)\n", " push!(alphahat, α̂)\n", " push!(betahat, β̂)\n", " aa, bb, cc = invfisherinfo(x, α̂, β̂)\n", " sehat = √(aa*xnew^2 + 2bb*xnew + cc)\n", " z = ((α̂-α) + (β̂-β)*xnew)/sehat\n", " push!(Z, z)\n", " end\n", " Z, alphahat, betahat\n", "end\n", "\n", "function mle_β(x, y, β; alg=Order2())\n", " f(α) = score_α(x, y, α, β)\n", " find_zero(f, 0.0, alg)\n", "end\n", "\n", "function chisqstat_β(x, y, β)\n", " α̃ = mle_β(x, y, β)\n", " v = score_β(x, y, α̃, β)\n", " a, b, c = fisherinfo(x, α̃, β)\n", " cc = a/(a*c - b^2)\n", " v^2 * cc\n", "end\n", "\n", "function sim_chisqstat_β(; α=1, β=2, n=40, L=10^4)\n", " x = rand(Uniform(-2, 2), n)\n", " C = zeros(0)\n", " for _ in 1:L\n", " y = randlogistic(α, β, x)\n", " push!(C, chisqstat_β(x, y, β))\n", " end\n", " C\n", "end" ] }, { "cell_type": "code", "execution_count": 3, "id": "feb4a832-9363-48c7-a642-81a1ec40e378", "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "C = sim_chisqstat_β(α=1, β=2, n=40, L=10^5)\n", "stephist(C; norm=true, bin=0:0.1:7, label=\"score statistic of β\")\n", "plot!(Chisq(1), 0.025, 7; label=\"Chisq(1)\")" ] }, { "cell_type": "code", "execution_count": 4, "id": "d4204791-2777-4b78-83c7-b79098cf6da5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 4.658755 seconds (11.09 M allocations: 584.794 MiB, 3.87% gc time, 50.40% compilation time)\n" ] }, { "data": { "image/png": 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" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n = 100\n", "α, β = 1, 2\n", "x = rand(Uniform(-3, 2), n)\n", "Z, α̂, β̂ = @time sim_Z(; α, β, n, x, L=10^4)\n", "stephist(Z; norm=true, xlim=(-5, 5))\n", "plot!(Normal())" ] }, { "cell_type": "code", "execution_count": 5, "id": "97c7037e-d54c-4b87-ad2b-864561f29988", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1.0636991996824396, 2.126996461668511)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean(α̂), mean(β̂)" ] }, { "cell_type": "code", "execution_count": 6, "id": "1e33438e-a11a-4b91-a541-35e2e9706405", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(10.891883948785146, -5.5104498474082115, 9.909509814195166)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fisherinfo(x, 1, 2)" ] }, { "cell_type": "code", "execution_count": 7, "id": "34353e5f-f455-4118-9139-027225430c1c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.12775226467685716, 0.07104008781405263, 0.14041691941831175)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "invfisherinfo(x, 1, 2)" ] }, { "cell_type": "code", "execution_count": 8, "id": "0a460b5a-6b80-461b-a3bb-51e465d6156e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.1681744529391595, 0.1091466733989751, 0.20679819280003378)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "var(α̂), cov(α̂, β̂), var(β̂)" ] }, { "cell_type": "code", "execution_count": 9, "id": "a1e5ae95-71a3-4767-b346-9008ed7e6d7a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "pvalue (generic function with 1 method)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function pvalue(α̂, β̂, x, xnew, p)\n", " aa, bb, cc = invfisherinfo(x, α̂, β̂)\n", " sehat = √(aa*xnew^2 + 2bb*xnew + cc)\n", " z = (α̂ + β̂*xnew - logit(p))/sehat\n", " 2ccdf(Normal(), abs(z))\n", "end" ] }, { "cell_type": "code", "execution_count": 10, "id": "e779518f-a9e4-4bf9-92b7-1219b0131b36", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 40\n", "(α, β) = (1, 2)\n", "(α̂, β̂) = mle(x, y) = [1.4169848980249171, 2.5505015918656007]\n" ] }, { "data": { "image/png": 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" }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function plot_pvaluefunc(\n", " α = 1, β = 2, n = 40,\n", " x = rand(Uniform(-3, 2), n),\n", " y = randlogistic(α, β, x)\n", " )\n", " @show n\n", " @show α, β\n", " @show α̂, β̂ = mle(x, y)\n", "\n", " xs = range(-3, 2, 100)\n", " ps = range(0, 1, 100)\n", " pval = pvalue.(α̂, β̂, Ref(x), xs', ps)\n", " P = heatmap(xs, ps, pval; colorbar=false, xlim=extrema(xs))\n", " plot!(x -> logistic(α + β*x); label=\"\", c=:cyan, ls=:dash)\n", " scatter!(x, 1.06y .- 0.03; label=\"\", c=1, msc=:auto, alpha=0.8)\n", " plot!(xguide=\"x\", yguide=\"p\")\n", " plot!(ytick=0:0.1:1)\n", " plot!(leftmargin=4Plots.mm, bottommargin=4Plots.mm)\n", "\n", " logitps = range(-11, 10, 100)\n", " pval = pvalue.(α̂, β̂, Ref(x), xs', logistic.(logitps))\n", " Q = heatmap(xs, logitps, pval; colorbar=false)\n", " plot!(x -> α + β*x; label=\"\", c=:cyan, ls=:dash)\n", " plot!(xguide=\"x\", yguide=\"logit(p)\")\n", " plot!(leftmargin=8Plots.mm, bottommargin=4Plots.mm)\n", "\n", " plot(P, Q; size=(800, 300))\n", "end\n", "\n", "Random.seed!(4649373)\n", "plot_pvaluefunc()" ] }, { "cell_type": "code", "execution_count": 11, "id": "4d208838-c9bd-4342-9c98-a7222e8923bb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 40\n", "(α, β) = (1, 2)\n", "(α̂, β̂) = mle(x, y) = [0.5891075130088409, 1.8417083781539179]\n" ] }, { "data": { "image/png": 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" }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_pvaluefunc()" ] }, { "cell_type": "code", "execution_count": 12, "id": "9d69776a-d063-4532-b5ba-a195f6621323", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 40\n", "(α, β) = (1, 2)\n", "(α̂, β̂) = mle(x, y) = [1.2656779930204578, 2.264063109845312]\n" ] }, { "data": { "image/png": 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" }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_pvaluefunc()" ] }, { "cell_type": "code", "execution_count": 13, "id": "9e07a842-e3e6-4b21-97f9-c93dd5e120a1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 40\n", "(α, β) = (1, 2)\n", "(α̂, β̂) = mle(x, y) = [1.286230618197936, 2.4470398508445794]\n" ] }, { "data": { "image/png": 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" }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_pvaluefunc()" ] }, { "cell_type": "code", "execution_count": 14, "id": "bc29e576-0484-4f6f-8433-389737cd0d6f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 40\n", "(α, β) = (1, 2)\n", "(α̂, β̂) = mle(x, y) = [1.7514872288866221, 3.206618375550499]\n" ] }, { "data": { "image/png": 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" }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_pvaluefunc()" ] }, { "cell_type": "code", "execution_count": 15, "id": "0d6ce43e-ef37-4ec4-b218-f67f182e5b4f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n = 40\n", "(α, β) = (1, 2)\n", "(α̂, β̂) = mle(x, y) = [1.2417884849578098, 1.8246667774058745]\n" ] }, { "data": { "image/png": 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" }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_pvaluefunc()" ] }, { "cell_type": "code", "execution_count": null, "id": "79c3b3f3-b68b-4db4-a525-d1db182bd58c", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,jl:hydrogen" }, "kernelspec": { "display_name": "Julia 1.7.3", "language": "julia", "name": "julia-1.7" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.7.3" } }, "nbformat": 4, "nbformat_minor": 5 }