{"id":210,"date":"2023-01-10T18:21:13","date_gmt":"2023-01-10T09:21:13","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=210"},"modified":"2025-06-08T20:58:20","modified_gmt":"2025-06-08T11:58:20","slug":"chi-square-test-effect-size","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/chi-square-test-effect-size\/","title":{"rendered":"\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u306b\u304a\u3051\u308b\u52b9\u679c\u91cf"},"content":{"rendered":"\n<p>\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u306f\u30012\u3064\u306e\u30ab\u30c6\u30b4\u30ea\u30ab\u30eb\u5909\u6570\u306e\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u9023\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u624b\u6cd5\u3067\u3042\u308b\u3002\u3057\u304b\u3057\u3001\u7d71\u8a08\u7684\u6709\u610f\u6027\u3060\u3051\u3067\u306f\u3001\u305d\u306e\u95a2\u9023\u6027\u306e\u300c\u5f37\u3055\u300d\u306b\u3064\u3044\u3066\u306f\u308f\u304b\u3089\u306a\u3044\u3002\u305d\u3053\u3067\u91cd\u8981\u306b\u306a\u308b\u306e\u304c<strong>\u52b9\u679c\u91cf<\/strong>\u3067\u3042\u308b\u3002\u52b9\u679c\u91cf\u306f\u3001\u7fa4\u9593\u306e\u5dee\u3084\u5909\u6570\u9593\u306e\u95a2\u9023\u6027\u306e\u5927\u304d\u3055\u3092\u5b9a\u91cf\u7684\u306b\u793a\u3059\u6307\u6a19\u3067\u3042\u308a\u3001\u7d71\u8a08\u7684\u6709\u610f\u6027\u3068\u306f\u72ec\u7acb\u3057\u3066\u7d50\u679c\u306e<strong>\u5b9f\u7528\u7684\u306a\u91cd\u8981\u6027<\/strong>\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u306e\u52b9\u679c\u91cf\u306e\u6982\u8981<\/h2>\n\n\n\n<p>\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u306b\u304a\u3051\u308b\u52b9\u679c\u91cf\u306f\u3001\u30ab\u30c6\u30b4\u30ea\u30ab\u30eb\u5909\u6570\u9593\u306e\u95a2\u9023\u6027\u306e\u5f37\u3055\u3092\u793a\u3059\u3002\u4e00\u822c\u7684\u306b\u7528\u3044\u3089\u308c\u308b\u52b9\u679c\u91cf\u3068\u3057\u3066\u3001<strong>\u30af\u30e9\u30e1\u30fc\u30eb\u306eV<\/strong>\u3084\u30d5\u30a1\u30a4\u4fc2\u6570\uff08\u03d5\uff09\u304c\u3042\u308b\u3002\u7279\u306b2\u00d72\u5206\u5272\u8868\uff082\u3064\u306e\u30ab\u30c6\u30b4\u30ea\u30ab\u30eb\u5909\u6570\u304c\u305d\u308c\u305e\u308c2\u3064\u306e\u30ab\u30c6\u30b4\u30ea\u3092\u6301\u3064\u5834\u5408\uff09\u306e\u5834\u5408\u3001\u30d5\u30a1\u30a4\u4fc2\u6570\u304c\u7528\u3044\u3089\u308c\u3001\u305d\u308c\u4ee5\u4e0a\u306e\u30b5\u30a4\u30ba\u306e\u5206\u5272\u8868\u3067\u306f\u30af\u30e9\u30e1\u30fc\u30eb\u306eV\u304c\u7528\u3044\u3089\u308c\u308b\u3002\u3053\u308c\u3089\u306e\u52b9\u679c\u91cf\u306f0\u304b\u30891\u306e\u7bc4\u56f2\u3092\u3068\u308a\u3001\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u95a2\u9023\u6027\u304c\u5f37\u3044\u3053\u3068\u3092\u793a\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u30d5\u30a1\u30a4\u4fc2\u6570 (\u03d5)<\/strong>: 2\u00d72\u5206\u5272\u8868\u306b\u7279\u5316\u3057\u3066\u304a\u308a\u3001\u4ee5\u4e0b\u306e\u5f0f\u3067\u8a08\u7b97\u3055\u308c\u308b\u3002<br>$$ \\phi = \\sqrt{\\frac{\\chi^2}{N}} $$<br>\u200b\u3053\u3053\u3067\u3001\u03c72\u306f\u30ab\u30a4\u4e8c\u4e57\u5024\u3001N\u306f\u5168\u4f53\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/li>\n\n\n\n<li><strong>\u30af\u30e9\u30e1\u30fc\u30eb\u306eV<\/strong>: 2\u00d72\u5206\u5272\u8868\u3060\u3051\u3067\u306a\u304f\u3001\u3088\u308a\u5927\u304d\u306a\u5206\u5272\u8868\u306b\u3082\u9069\u7528\u3067\u304d\u308b\u3002<br>$$ V = \\sqrt{\\frac{\\chi^2}{N \\times \\min(k &#8211; 1, r &#8211; 1)}}$$\u200b<br>\u3053\u3053\u3067\u3001k\u306f\u5217\u306e\u6570\u3001r\u306f\u884c\u306e\u6570<br>2\u00d72\u5206\u5272\u8868\u306e\u5834\u5408\u3001k\u22121=1, r\u22121=1\u3068\u306a\u308b\u305f\u3081\u3001\u30af\u30e9\u30e1\u30fc\u30eb\u306eV\u306f\u30d5\u30a1\u30a4\u4fc2\u6570\u3068\u7b49\u3057\u304f\u306a\u308b<\/li>\n<\/ul>\n\n\n\n<p>\u4e00\u822c\u7684\u306b\u3001\u52b9\u679c\u91cf\u306e\u76ee\u5b89\u3068\u3057\u3066\u3001Cohen (1988) \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u57fa\u6e96\u3092\u63d0\u793a\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>w\uff08\u307e\u305f\u306f\u03d5\u3001V\uff09= 0.1\uff1a\u5c0f\u3055\u3044\u52b9\u679c<\/li>\n\n\n\n<li>w\uff08\u307e\u305f\u306f\u03d5\u3001V\uff09= 0.3\uff1a\u4e2d\u7a0b\u5ea6\u306e\u52b9\u679c<\/li>\n\n\n\n<li>w\uff08\u307e\u305f\u306f\u03d5\u3001V\uff09= 0.5\uff1a\u5927\u304d\u3044\u52b9\u679c<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">\u5177\u4f53\u4f8b\uff1a2\u7fa4\u306e\u30a2\u30a6\u30c8\u30ab\u30e0\u6bd4\u8f03<\/h2>\n\n\n\n<p>\u3042\u308b\u98df\u54c1A\u306e\u6442\u53d6\u3068\u7279\u5b9a\u306e\u826f\u3044\u7d50\u679c\uff08\u4f8b\u3048\u3070\u5065\u5eb7\u72b6\u614b\u306e\u6539\u5584\uff09\u3068\u306e\u95a2\u9023\u6027\u3092\u8abf\u3079\u308b\u7814\u7a76\u3092\u8a08\u753b\u3057\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u4f8b\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5272\u5408\u306e\u5206\u5272\u8868\u304c\u8003\u3048\u3089\u308c\u305f\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>\u7fa4<\/td><td>\u826f\u3044\u7d50\u679c<\/td><td>\u60aa\u3044\u7d50\u679c<\/td><\/tr><tr><td>\u98df\u54c1 A \u6442\u53d6\u7fa4<\/td><td>120 (16 \uff05)<\/td><td>74 (10 \uff05)<\/td><\/tr><tr><td>\u98df\u54c1 A \u975e\u6442\u53d6\u7fa4<\/td><td>277 (37\uff05)<\/td><td>277 (37 \uff05)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u8868\u5185\u306e\uff05\u306f\u3001\u5168\u4f53\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba 748 \u306b\u5bfe\u3059\u308b\u5272\u5408\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5834\u5408\u3001\u98df\u54c1A\u6442\u53d6\u7fa4\u306e\u307b\u3046\u304c\u826f\u3044\u7d50\u679c\u306b\u7d50\u3073\u3064\u304f\u5272\u5408\u304c\u9ad8\u304f\uff0816% vs 10%\uff09\u3001\u975e\u6442\u53d6\u7fa4\u3067\u306f\u826f\u3044\u7d50\u679c\u3068\u60aa\u3044\u7d50\u679c\u306e\u5272\u5408\u304c\u540c\u7b49\uff0837% vs 37%\uff09\u3067\u3042\u308b\u72b6\u6cc1\u3092\u60f3\u5b9a\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-3894476737\" 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\">R\u3067\u306e\u8a08\u7b97\u65b9\u6cd5<\/h2>\n\n\n\n<p>R\u3067\u306f\u3001<code>pwr<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u306e<code>ES.w2()<\/code>\u95a2\u6570\u3092\u7528\u3044\u3066\u3001\u6307\u5b9a\u3057\u305f\u5272\u5408\u306e\u5206\u5272\u8868\u306b\u5bfe\u5fdc\u3059\u308b\u52b9\u679c\u91cfw\u3092\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>pwr \u30d1\u30c3\u30b1\u30fc\u30b8\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3068\u8aad\u307f\u8fbc\u307f<\/strong>:<\/h3>\n\n\n\n<p>\u3082\u3057\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u307e\u305a\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># install.packages(\"pwr\") # \u5fc5\u8981\u3067\u3042\u308c\u3070\u5b9f\u884c\nlibrary(pwr)<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>\u5206\u5272\u8868\u306e\u4f5c\u6210\u3068\u52b9\u679c\u91cf\u306e\u8a08\u7b97<\/strong>:<\/h3>\n\n\n\n<p>\u4e0a\u8a18\u3067\u4f8b\u793a\u3057\u305f\u5272\u5408\u306e\u5206\u5272\u8868\u3092\u4f5c\u6210\u3057\u3001<code>ES.w2()<\/code>\u95a2\u6570\u306b\u6e21\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u5206\u5272\u8868\u306e\u5272\u5408\u3092\u8a2d\u5b9a\n# 1\u5217\u76ee: \u98df\u54c1A\u6442\u53d6\u7fa4\u30012\u5217\u76ee: \u98df\u54c1A\u975e\u6442\u53d6\u7fa4\n# 1\u884c\u76ee: \u826f\u3044\u7d50\u679c\u30012\u884c\u76ee: \u60aa\u3044\u7d50\u679c\nP &lt;- matrix(c(0.16, 0.10, 0.37, 0.37), nrow = 2, byrow = TRUE)\n\n# \u52b9\u679c\u91cf w \u3092\u8a08\u7b97\nES.w2(P)<\/code><\/pre>\n\n\n\n<p>\u5b9f\u884c\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&#91;1] 0.101406<\/code><\/pre>\n\n\n\n<p>\u3053\u306e\u7d50\u679c\u304b\u3089\u3001\u52b9\u679c\u91cfw\u22480.1 \uff08\u5c0f\u3055\u3044\u52b9\u679c\uff09\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u306b\u304a\u3051\u308b\u52b9\u679c\u91cf\u306f\u3001\u5358\u306a\u308b\u7d71\u8a08\u7684\u6709\u610f\u6027\u3060\u3051\u3067\u306a\u304f\u3001\u5909\u6570\u9593\u306e\u95a2\u9023\u6027\u306e<strong>\u5b9f\u8cea\u7684\u306a\u5f37\u3055<\/strong>\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u4e0d\u53ef\u6b20\u306a\u6307\u6a19\u3067\u3042\u308b\u3002\u7279\u306b<strong>\u30af\u30e9\u30e1\u30fc\u30eb\u306eV<\/strong>\u3084<strong>\u30d5\u30a1\u30a4\u4fc2\u6570<\/strong>\u304c\u7528\u3044\u3089\u308c\u3001\u3053\u308c\u3089\u306f\u95a2\u9023\u6027\u306e\u5927\u304d\u3055\u30920\u304b\u30891\u306e\u7bc4\u56f2\u3067\u793a\u3059\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u306e\u4f8b\u3067\u306f\u3001\u52b9\u679c\u91cfw\u22480.1\u3067\u3001\u5c0f\u3055\u3044\u52b9\u679c\u3068\u8a08\u7b97\u3055\u308c\u305f\u3002R\u306e<code>pwr<\/code>\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u3053\u308c\u3089\u306e\u52b9\u679c\u91cf\u3092\u5bb9\u6613\u306b\u8a08\u7b97\u3057\u3001\u7814\u7a76\u30c7\u30b6\u30a4\u30f3\u306b\u304a\u3051\u308b\u5b9f\u7528\u7684\u306a\u610f\u5473\u5408\u3044\u3092\u691c\u8a0e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u52b9\u679c\u91cf\u3092\u7406\u89e3\u3057\u3001\u5831\u544a\u3059\u308b\u3053\u3068\u3067\u3001\u7814\u7a76\u7d50\u679c\u306e\u89e3\u91c8\u3092\u3088\u308a\u8c4a\u304b\u306b\u3057\u3001\u305d\u306e\u77e5\u898b\u306e\u91cd\u8981\u6027\u3092\u3088\u308a\u660e\u78ba\u306b\u4f1d\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u306f\u30012\u3064\u306e\u30ab\u30c6\u30b4\u30ea\u30ab\u30eb\u5909\u6570\u306e\u9593\u306b\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u95a2\u9023\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u624b\u6cd5\u3067\u3042\u308b\u3002\u3057\u304b\u3057\u3001\u7d71\u8a08\u7684\u6709\u610f\u6027\u3060\u3051\u3067\u306f\u3001\u305d\u306e\u95a2\u9023\u6027\u306e\u300c\u5f37\u3055\u300d\u306b\u3064\u3044\u3066\u306f\u308f\u304b\u3089\u306a\u3044\u3002\u305d\u3053\u3067\u91cd\u8981\u306b\u306a\u308b\u306e\u304c\u52b9\u679c\u91cf\u3067\u3042\u308b\u3002\u52b9\u679c\u91cf [&hellip;]<\/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":[5,50,57],"tags":[],"class_list":["post-210","post","type-post","status-publish","format-standard","hentry","category-r","category-50","category-57"],"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\/210","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=210"}],"version-history":[{"count":17,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/210\/revisions"}],"predecessor-version":[{"id":3935,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/210\/revisions\/3935"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=210"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=210"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}