{"id":596,"date":"2018-06-12T22:08:14","date_gmt":"2018-06-12T13:08:14","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/sample-size-determination-non-parametric-test\/"},"modified":"2025-01-06T21:32:23","modified_gmt":"2025-01-06T12:32:23","slug":"sample-size-determination-non-parametric-test","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/sample-size-determination-non-parametric-test\/","title":{"rendered":"R \u3067\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc U \u691c\u5b9a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u65b9\u6cd5<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e-U-\u691c\u5b9a-\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\">\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97<\/h2>\n\n\n\n<p>R \u306e\u201d<a href=\"http:\/\/cran.r-project.org\/web\/packages\/samplesize\/index.html\" target=\"_blank\" rel=\"noopener\">samplesize<\/a>&#8220;\u3068\u3044\u3046\u30d1\u30c3\u30b1\u30fc\u30b8\u3067\u3001\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>samplesize \u30d1\u30c3\u30b1\u30fc\u30b8\u306en.wilcox.ord()\u3092\u4f7f\u3046\u3002<\/p>\n\n\n\n<p>\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a\u306f\u3001\u30a6\u30a3\u30eb\u30b3\u30af\u30bd\u30f3\u306e\u9806\u4f4d\u548c\u691c\u5b9a\u3068\u6570\u5b66\u7684\u306b\u540c\u3058\u306a\u305f\u3081\u3001\u30a6\u30a3\u30eb\u30b3\u30af\u30bd\u30f3\u30fb\u30de\u30f3\u30fb\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u691c\u5b9a\u3068\u3082\u8a00\u308f\u308c\u308b\u305f\u3081\u3001n.wilcox.ord() \u3068\u3044\u3046\u540d\u524d\u306e\u95a2\u6570\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u306f\u3001\u6b63\u898f\u8fd1\u4f3c\u3092\u7528\u3044\u305f\u7c21\u6613\u7684\u306a\u65b9\u6cd5\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>samplesize\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3057\u3066\u3001library()\u3067\u547c\u3073\u51fa\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synIdentifier\">install.packages<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"samplesize\"<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synPreProc\">library<\/span><span class=\"synSpecial\">(<\/span>samplesize<span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u691c\u51fa\u529b80%\u3001\u6709\u610f\u6c34\u6e965%\u3001\u4e21\u7fa4\u540c\u6570\u30671:1\uff08t=0.5)\u3001\u30b0\u30eb\u30fc\u30d71\u306f33\uff05\u300133%\u300134\uff05\u3068\u4e09\u5206\u5272\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u304c\u540c\u6570\u306b\u5bfe\u3057\u3001\u30b0\u30eb\u30fc\u30d72\u306f\u300166%\u300120\uff05\u300114\uff05\u3060\u3068\u3059\u308b\u3068\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f36\u4f8b\u305a\u3064\u5fc5\u8981\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> n.wilcox.ord(power=0.8, alpha=0.05, t=0.5, \n+              p=c(0.33, 0.33, 0.34),\n+              q=c(0.66, 0.20, 0.14))\n$`total sample size`\n&#91;1] 72\n\n$m\n&#91;1] 36\n\n$n\n&#91;1] 36<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e-U-\u691c\u5b9a-\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97-\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u4e2d\u8eab\u3092\u516c\u958b\">\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97 \u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u4e2d\u8eab\u3092\u898b\u3066\u307f\u308b<\/h2>\n\n\n\n<p>n.wilcox.ord() \u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u4e2d\u306e\u4e3b\u8981\u306a\u90e8\u5206\u3092\u629c\u304d\u51fa\u3057\u3066\u307f\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u8a08\u7b97\u7d50\u679c\u304c\u898b\u3084\u3059\u3044\u3088\u3046\u306b\u6539\u9020\u3057\u3066\u3042\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>n.wilcox.ord.abs &lt;- function(power=0.8, sig.level=0.05,\n                             t, p, q, alternative=c(\"two.sided\",\"one.sided\")){\n  alternative &lt;- match.arg(alternative)\n  side &lt;- switch(alternative, one.sided=1, two.sided=2)\n  Za &lt;- qnorm(sig.level\/side, lower.tail=FALSE)\n  Zb &lt;- qnorm(power)\n  pq1 &lt;- function(p,q){\n    D &lt;- length(p)\n    PQ1 &lt;- 0\n    for (i in 2:D){\n      PQ1 &lt;- PQ1 + p&#91;i] * sum(q&#91;1:(i-1)])\n    }\n    return(PQ1)\n  }\n  p.t &lt;- (1-t)*p\n  q.t &lt;- t*q\n  pq.t &lt;- p.t+q.t\n  pq.t.3 &lt;- pq.t^3\n  t.sum &lt;- sum(pq.t.3)\n  pq &lt;- cbind(p,q)\n  pq.sum &lt;- sum(apply(pq,1,prod))\n  N &lt;- (((Za+Zb)^2)*(1-t.sum))\/(12*t*(1-t)*(pq1(p=p,q=q)+0.5*pq.sum-0.5)^2)\n  samplesize &lt;- ceiling(N)\n  m &lt;- round(ceiling(N)*(1-t),0)\n  n &lt;- round(ceiling(N)*t,0)\n  NOTE &lt;- \"m or n means sample size for each group\"\n  METHOD &lt;- \"Wilcoxon-Mann-Whitney test sample size\"\n  structure(list(`total sample size` = samplesize, m=m, n=n,\n                 t=t, p=p, q=q, sig.level=sig.level, power=power,\n                 alternative=alternative, note=NOTE, method=METHOD),\n            class=\"power.htest\")\n}\n<\/code><\/pre>\n\n\n\n<p>\u540c\u3058\u8a2d\u5b9a\u3067\u8a08\u7b97\u3057\u3066\u307f\u308b\u3068\u3001\u4e00\u7fa436\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u3066\u3001\u540c\u4e00\u306e\u7d50\u679c\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> n.wilcox.ord.abs(t=0.5, p=c(0.33, 0.33, 0.34), q=c(0.66, 0.20, 0.14))\n\n     Wilcoxon-Mann-Whitney test sample size \n\ntotal sample size = 72\n                m = 36\n                n = 36\n                t = 0.5\n                p = 0.33, 0.33, 0.34\n                q = 0.66, 0.20, 0.14\n        sig.level = 0.05\n            power = 0.8\n      alternative = two.sided\n\nNOTE: m or n means sample size for each group<\/code><\/pre>\n\n\n\n<p>\u7247\u7fa4\u3092\u5c0f\u3055\u304f\u3057\u30662\uff1a1\u306e\u5272\u308a\u4ed8\u3051\uff08t=0.33\uff09\u306b\u3059\u308b\u3068\u300156\u4f8b\u306828\u4f8b\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> n.wilcox.ord.abs(t=0.33, p=c(0.33, 0.33, 0.34), q=c(0.66, 0.20, 0.14))\n\n     Wilcoxon-Mann-Whitney test sample size \n\ntotal sample size = 84\n                m = 56\n                n = 28\n                t = 0.33\n                p = 0.33, 0.33, 0.34\n                q = 0.66, 0.20, 0.14\n        sig.level = 0.05\n            power = 0.8\n      alternative = two.sided\n\nNOTE: m or n means sample size for each group<\/code><\/pre>\n\n\n\n<p>\u7247\u5074\u691c\u5b9a\u306b\u3082\u5bfe\u5fdc\u3067\u304d\u308b\u3088\u3046\u306b\u6539\u9020\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u4e21\u7fa4\u540c\u3058\u4f8b\u6570\u3067\u7247\u5074\u691c\u5b9a\u306e\u5834\u5408\u300128\u4f8b\u305a\u3064\u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>> n.wilcox.ord.abs(t=0.5, p=c(0.33, 0.33, 0.34), q=c(0.66, 0.20, 0.14), alternative=\"one.sided\")\n\n     Wilcoxon-Mann-Whitney test sample size \n\ntotal sample size = 57\n                m = 28\n                n = 28\n                t = 0.5\n                p = 0.33, 0.33, 0.34\n                q = 0.66, 0.20, 0.14\n        sig.level = 0.05\n            power = 0.8\n      alternative = one.sided\n\nNOTE: m or n means sample size for each group<\/code><\/pre>\n\n\n\n<div id=\"biost-3954953337\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e-U-\u691c\u5b9a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067\">\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067<\/h2>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u30b7\u30fc\u30c8\u3067\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a\u306e\u305f\u3081\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3088\u3051\u308c\u3070\u305c\u3072\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/happyhappygk.base.ec\/items\/28466899\">\u30de\u30f3\u30fb\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306eU\u691c\u5b9a \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3010\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3011 | TKER SHOP<\/a><\/p>\n\n\n\n<p>\u4f7f\u3044\u65b9\u89e3\u8aac\u52d5\u753b\u3092\u4f5c\u6210\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3053\u3061\u3089\u3082\u3088\u3051\u308c\u3070\u305c\u3072\u3002<\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/_oJaTwguAro?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"\u30de\u30f3\u30fb\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306eU\u691c\u5b9a \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3010\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3011\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/_oJaTwguAro\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc\u306e U \u691c\u5b9a\u306e\u305f\u3081\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092 R \u3067\u5b9f\u65bd\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u3067\u3082\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u79fb\u690d\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u6b63\u78ba\u306a\u65b9\u6cd5\u3067\u306f\u306a\u304f\u6b63\u898f\u8fd1\u4f3c\u3092\u7528\u3044\u308b\u65b9\u6cd5\u3067\u3042\u308b\u304c\u3001\u5b9f\u7528\u4e0a\u306f\u554f\u984c\u306a\u3044\u3068\u601d\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30de\u30f3\u30db\u30a4\u30c3\u30c8\u30cb\u30fc U \u691c\u5b9a\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u65b9\u6cd5<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[5,30,16,19],"tags":[],"class_list":["post-596","post","type-post","status-publish","format-standard","hentry","category-r","category-30","category-16","category-19"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/596","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=596"}],"version-history":[{"count":3,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/596\/revisions"}],"predecessor-version":[{"id":3397,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/596\/revisions\/3397"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=596"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=596"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=596"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}