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Julia/Statistics/chi square distribution/chisq test, G-test, and Fisher test.ipynb
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "## 2×2の分割表に関するカイ二乗検定とG検定とFisherの正確検定の比較\n\n黒木玄\n\n2017-09-18\n\n2×2の分割表に関するカイ二乗検定とFisherの正確検定の比較に関する\n\nhttps://oku.edu.mie-u.ac.jp/~okumura/stat/fisher-chisq.html\n\nの結果(のsubset)をJulia言語で再現してみた。\n\nついでにG検定の場合の結果も付け加えておいた。\n\nDistributionsパッケージについては次のリンク先を参照せよ。\n\nhttps://juliastats.github.io/Distributions.jl/latest/\n\nHypothesisTestsパッケージも存在するが、あえて利用しなかった。\n\n統計関係のパッケージの情報については次のリンク先を参照せよ。\n\nhttps://juliastats.github.io/"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using PyPlot\nusing Distributions\nusing RCall\nsleep(0.5) # WARNING対策",
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": "WARNING: Method definition ==(Base.Nullable{S}, Base.Nullable{T}) in module Base at nullable.jl:238 overwritten in module NullableArrays at C:\\JuliaPkg\\v0.6\\NullableArrays\\src\\operators.jl:99.\nWARNING: Compat.AsyncCondition is deprecated, use Base.AsyncCondition instead.\n likely near In[1]:3\nWARNING: Compat.AsyncCondition is deprecated, use Base.AsyncCondition instead.\n likely near In[1]:3\n",
"name": "stderr"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "versioninfo()",
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": "Julia Version 0.6.0\nCommit 903644385b* (2017-06-19 13:05 UTC)\nPlatform Info:\n OS: Windows (x86_64-w64-mingw32)\n CPU: Intel(R) Core(TM) i7-4770HQ CPU @ 2.20GHz\n WORD_SIZE: 64\n BLAS: libopenblas (USE64BITINT DYNAMIC_ARCH NO_AFFINITY Haswell)\n LAPACK: libopenblas64_\n LIBM: libopenlibm\n LLVM: libLLVM-3.9.1 (ORCJIT, haswell)\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "次のようにして非常にJulia言語内部からR言語を簡単に利用できる。"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "R\"\"\"\nsessionInfo()\n\"\"\"",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": "RCall.RObject{RCall.VecSxp}\nR version 3.4.1 (2017-06-30)\nPlatform: x86_64-w64-mingw32/x64 (64-bit)\nRunning under: Windows 8.1 x64 (build 9600)\n\nMatrix products: default\n\nlocale:\n[1] LC_COLLATE=Japanese_Japan.932 LC_CTYPE=Japanese_Japan.932 \n[3] LC_MONETARY=Japanese_Japan.932 LC_NUMERIC=C \n[5] LC_TIME=Japanese_Japan.932 \n\nattached base packages:\n[1] stats graphics grDevices utils datasets methods base \n\nloaded via a namespace (and not attached):\n[1] compiler_3.4.1\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "function chisqtest(a::AbstractArray{Int64,1})\n local n = sum(a)\n local mu = [\n (a[1]+a[2])*(a[1]+a[3])/n,\n (a[1]+a[2])*(a[2]+a[4])/n,\n (a[3]+a[4])*(a[1]+a[3])/n,\n (a[3]+a[4])*(a[2]+a[4])/n\n ]\n local chisq = sum((a .- mu).^2 ./mu)\n local pval = ccdf(Chisq(1), chisq)\n return pval\nend\n\nfunction gtest(a::AbstractArray{Int64,1})\n local n = sum(a)\n local mu = [\n (a[1]+a[2])*(a[1]+a[3])/n,\n (a[1]+a[2])*(a[2]+a[4])/n,\n (a[3]+a[4])*(a[1]+a[3])/n,\n (a[3]+a[4])*(a[2]+a[4])/n\n ]\n local g = 2*sum(a.*log.(a ./mu))\n local pval = ccdf(Chisq(1), g)\n return pval\nend\n\nfunction pvaluehg(d::Hypergeometric, k::Int64)\n local c = params(d)\n local amax = min(c[1],c[3])\n local p0 = pdf(d, k)\n local p1 = 0.0\n local pval = 0.0\n for j in 0:amax\n p1 = pdf(d, j)\n pval += ifelse(p1 ≤ p0, p1, 0.0)\n end\n return min(pval, 1.0)\nend\n\nfunction fishertest(a::AbstractArray{Int64,1})\n local d = Hypergeometric(a[1]+a[2], a[3]+a[4], a[1]+a[3])\n return pvaluehg(d, a[1])\nend\n\necdf(pval::AbstractArray{Float64,1}, x::Float64) = count(p -> p ≤ x, pval)/length(pval)",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "ecdf (generic function with 1 method)"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "## test\n\n@show x = chisqtest([5, 13, 12, 20])\n\nrcode = R\"\"\"\nchisq.test(matrix(c(5, 13, 12, 20), nrow=2), correct=FALSE)$p.value\n\"\"\"\n@show y = Float64(rcode)\n\nabs(x-y)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "x = chisqtest([5, 13, 12, 20]) = 0.4860562818425576\ny = Float64(rcode) = 0.4860562818425576\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 5,
"data": {
"text/plain": "0.0",
"text/html": "0.0"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "## test\n\n@show x = gtest([5, 13, 12, 20])\n\n# rcode = R\"\"\"\n# g.test(matrix(c(5, 13, 12, 20), nrow=2))$p.value\n# \"\"\"\n# @show y = Float64(rcode)\n\n# abs(x-y)",
"execution_count": 6,
"outputs": [
{
"output_type": "stream",
"text": "x = gtest([5, 13, 12, 20]) = 0.4825123402022797\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "0.4825123402022797",
"text/html": "0.4825123402022797"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Rで\n\n library(\"Deducer\")\n likelihood.test(matrix(c(5, 13, 12, 20), nrow=2), conservative=FALSE)$p.value\n\nを実行した結果は\n\n p.value: 0.48251234020228"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "## test\n\n@show x = fishertest([5, 13, 12, 20])\n\nrcode = R\"\"\"\nfisher.test(matrix(c(5, 13, 12, 20), nrow=2))$p.value\n\"\"\"\n@show y = Float64(rcode)\n\nabs(x-y)",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": "x = fishertest([5, 13, 12, 20]) = 0.548281040489035\ny = Float64(rcode) = 0.5482810404890348\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 7,
"data": {
"text/plain": "2.220446049250313e-16",
"text/html": "2.220446049250313e-16"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "p = [0.12, 0.28, 0.18, 0.42]\nn = 50\nN = 10^7\n@time a = rand(Multinomial(n,p), N)\n@time pvalchisq = [chisqtest(a[:,i]) for i in 1:size(a,2)]\n@time pvalg = [gtest(a[:,i]) for i in 1:size(a,2)]\n@time pvalfisher = [fishertest(a[:,i]) for i in 1:size(a,2)];",
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": " 3.966634 seconds (10.17 M allocations: 772.139 MiB, 8.06% gc time)\n 6.131586 seconds (100.07 M allocations: 4.250 GiB, 5.24% gc time)\n 6.883789 seconds (100.02 M allocations: 4.248 GiB, 4.59% gc time)\n112.154481 seconds (40.11 M allocations: 1.571 GiB, 0.17% gc time)\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "ecdf_chisq(x) = ecdf(pvalchisq, x)\necdf_g(x) = ecdf(pvalg, x)\necdf_fisher(x) = ecdf(pvalfisher, x)\nx = linspace(0,1,100)\nfigure()\nplot(x, ecdf_chisq.(x), label=\"chi square test\", ls=\"-\")\nplot(x, ecdf_g.(x), label=\"G-test\", ls=\"--\")\nplot(x, ecdf_fisher.(x), label=\"Fisher test\", ls=\":\")\nplot(x, x, label=\"y = x\", color=\"black\", lw=0.5)\nlegend()\nxlabel(\"x = p-value\")\nylabel(\"y = probability\")\ntitle(\"empirical cumulative distributions\")\naxes()[:set_aspect](\"equal\")",
"execution_count": 9,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x0000000029A60B00>)",
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"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "ecdf_chisq(x) = ecdf(pvalchisq, x)\necdf_g(x) = ecdf(pvalg, x)\necdf_fisher(x) = ecdf(pvalfisher, x)\nx = linspace(0,0.1,100)\n\nfigure()\nplot(x, ecdf_chisq.(x), label=\"chi square test\", ls=\"-\")\nplot(x, ecdf_g.(x), label=\"G-test\", ls=\"--\")\nplot(x, ecdf_fisher.(x), label=\"Fisher test\", ls=\":\")\nplot(x, x, label=\"y = x\", color=\"black\", lw=0.5)\nlegend()\nxlabel(\"x = p-value\")\nylabel(\"y = probability\")\ntitle(\"empirical cumulative distributions\")\naxes()[:set_aspect](\"equal\")\n\nfigure()\nplot(x, ecdf_chisq.(x).-x, label=\"error of chi square test\", ls=\"-\")\nplot(x, ecdf_g.(x) .-x, label=\"error of G-test\", ls=\"--\")\nplot(x, zeros(x), color=\"black\", lw=0.5)\nlegend()\ntitle(\"errors\")",
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000002DBE9DD8>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000003D3E1E48>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 10,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000003D51A390>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "testpval = 0.05\n@show testpval\n@show ecdf_chisq(testpval)\n@show ecdf_g(testpval)\n@show ecdf_fisher(testpval);",
"execution_count": 17,
"outputs": [
{
"output_type": "stream",
"text": "testpval = 0.05\necdf_chisq(testpval) = 0.0508704\necdf_g(testpval) = 0.054198\necdf_fisher(testpval) = 0.0330715\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "ecdf_chisq(x) = ecdf(pvalchisq, x)\necdf_g(x) = ecdf(pvalg, x)\necdf_fisher(x) = ecdf(pvalfisher, x)\nx = linspace(0,0.02,100)\n\nfigure()\nplot(x, ecdf_chisq.(x), label=\"chi square test\", ls=\"-\")\nplot(x, ecdf_g.(x), label=\"G-test\", ls=\"--\")\nplot(x, ecdf_fisher.(x), label=\"Fisher test\", ls=\":\")\nplot(x, x, label=\"y = x\", color=\"black\", lw=0.5)\nlegend()\nxlabel(\"x = p-value\")\nylabel(\"y = probability\")\ntitle(\"empirical cumulative distributions\")\naxes()[:set_aspect](\"equal\")\n\nfigure()\nplot(x, ecdf_chisq.(x).-x, label=\"error of chi square test\", ls=\"-\")\nplot(x, ecdf_g.(x) .-x, label=\"error of G-test\", ls=\"--\")\nplot(x, zeros(x), color=\"black\", lw=0.5)\nlegend()\ntitle(\"errors\")",
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000003D695C18>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x000000003D5B4588>)",
"image/png": 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"
},
"metadata": {}
},
{
"output_type": "execute_result",
"execution_count": 12,
"data": {
"text/plain": "PyObject <matplotlib.text.Text object at 0x000000003D4AA358>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "testpval = 0.01\n@show testpval\n@show ecdf_chisq(testpval)\n@show ecdf_g(testpval)\n@show ecdf_fisher(testpval);",
"execution_count": 18,
"outputs": [
{
"output_type": "stream",
"text": "testpval = 0.01\necdf_chisq(testpval) = 0.0093184\necdf_g(testpval) = 0.010788\necdf_fisher(testpval) = 0.0061768\n",
"name": "stdout"
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"_draft": {
"nbviewer_url": "https://gist.github.com/6d90fbcccde370010f041c3c089a6d2e"
},
"gist": {
"id": "6d90fbcccde370010f041c3c089a6d2e",
"data": {
"description": "Julia/Statistics/chi square distribution/chisq test, G-test, and Fisher test.ipynb",
"public": true
}
},
"kernelspec": {
"name": "julia-0.6",
"display_name": "Julia 0.6.0",
"language": "julia"
},
"language_info": {
"file_extension": ".jl",
"name": "julia",
"mimetype": "application/julia",
"version": "0.6.0"
},
"toc": {
"threshold": 4,
"number_sections": true,
"toc_cell": false,
"toc_window_display": false,
"toc_section_display": "block",
"sideBar": true,
"navigate_menu": true,
"moveMenuLeft": true,
"widenNotebook": false,
"colors": {
"hover_highlight": "#DAA520",
"selected_highlight": "#FFD700",
"running_highlight": "#FF0000",
"wrapper_background": "#FFFFFF",
"sidebar_border": "#EEEEEE",
"navigate_text": "#333333",
"navigate_num": "#000000"
},
"nav_menu": {
"height": "12px",
"width": "252px"
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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