{"id":1523,"date":"2023-07-26T00:50:41","date_gmt":"2023-07-26T00:50:41","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%86%e3%82%b9%e3%83%88g\/"},"modified":"2023-07-26T00:50:41","modified_gmt":"2023-07-26T00:50:41","slug":"%e3%83%86%e3%82%b9%e3%83%88g","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%86%e3%82%b9%e3%83%88g\/","title":{"rendered":"\u9069\u5408\u5ea6\u306e g \u691c\u5b9a: \u5b9a\u7fa9 + \u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u5b66\u3067\u306f\u3001<strong>\u9069\u5408\u5ea6\u306e G \u691c\u5b9a<\/strong>\u3092\u4f7f\u7528\u3057\u3066\u3001\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u304c\u4eee\u8aac\u5206\u5e03\u306b\u5f93\u3046\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u306f <a href=\"https:\/\/statorials.org\/ja\/\u30ab\u30a4\u4e8c\u4e57\u9069\u5408\u5ea6\u30c6\u30b9\u30c8\/\" target=\"_blank\" rel=\"noopener\">\u3001\u30ab\u30a4\u4e8c\u4e57\u9069\u5408\u5ea6\u691c\u5b9a<\/a>\u306e\u4ee3\u66ff\u3067\u3042\u308a\u3001\u30c7\u30fc\u30bf\u306b\u5916\u308c\u5024\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u307e\u305f\u306f\u6271\u3046\u30c7\u30fc\u30bf\u304c\u975e\u5e38\u306b\u5927\u304d\u3044\u5834\u5408\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9069\u5408\u5ea6\u306e G \u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong>\u5909\u6570\u306f\u4eee\u8aac\u7684\u306a\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong>\u5909\u6570\u306f\u4eee\u8aac\u306e\u5206\u5e03<em>\u306b\u5f93\u3044\u307e\u305b\u3093<\/em>\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">G=2 * \u03a3[O * ln(O\/E)]<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>O:<\/strong>\u7d30\u80de\u5185\u3067\u89b3\u5bdf\u3055\u308c\u308b\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>E:<\/strong>\u30bb\u30eb\u5185\u306e\u671f\u5f85\u3055\u308c\u308b\u6570\u5024<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u304c\u7279\u5b9a\u306e<a href=\"https:\/\/statorials.org\/ja\/p-\u5024\u306e\u7d71\u8a08\u7684\u6709\u610f\u6027\/\" target=\"_blank\" rel=\"noopener\">\u6709\u610f\u6c34\u6e96<\/a>\u3092\u4e0b\u56de\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u8abf\u67fb\u5bfe\u8c61\u306e\u5909\u6570\u304c\u4eee\u8aac\u306e\u5206\u5e03\u306b\u5f93\u3063\u3066\u3044\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u5b9f\u969b\u306b\u9069\u5408\u5ea6 G \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: \u9069\u5408\u5ea6\u306e G \u30c6\u30b9\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u751f\u7269\u5b66\u8005\u306f\u3001\u7279\u5b9a\u306e\u5730\u57df\u306b 3 \u7a2e\u306e\u30ab\u30e1\u304c\u540c\u3058\u5272\u5408\u3067\u5b58\u5728\u3059\u308b\u3068\u4e3b\u5f35\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u4e3b\u5f35\u3092\u691c\u8a3c\u3059\u308b\u305f\u3081\u306b\u3001\u72ec\u7acb\u3057\u305f\u7814\u7a76\u8005\u304c\u5404\u7a2e\u985e\u306e\u7a2e\u306e\u6570\u3092\u6570\u3048\u3001\u6b21\u306e\u3053\u3068\u3092\u767a\u898b\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u7a2eA\uff1a <strong>80<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u7a2eB\uff1a <strong>125<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u7a2e\u65cfC\uff1a <strong>95<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u72ec\u7acb\u3057\u305f\u7814\u7a76\u8005\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u4f7f\u7528\u3057\u3066\u9069\u5408\u5ea6 G \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u3001\u53ce\u96c6\u3057\u305f\u30c7\u30fc\u30bf\u304c\u751f\u7269\u5b66\u8005\u306e\u4e3b\u5f35\u3068\u4e00\u81f4\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u8ff0\u3079\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7814\u7a76\u8005\u306f\u3001\u6b21\u306e\u4eee\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u9069\u5408\u5ea6\u306e G \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong>\u3053\u306e\u5730\u57df\u306b\u306f 3 \u7a2e\u306e\u30ab\u30e1\u304c\u540c\u3058\u5272\u5408\u3067\u5b58\u5728\u3057\u307e\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong>\u3053\u306e\u5730\u57df\u306b\u306f 3 \u7a2e\u985e\u306e\u30ab\u30e1\u304c\u540c\u3058\u5272\u5408\u3067<em>\u5b58\u5728\u3057\u307e\u305b\u3093<\/em>\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G=2 * \u03a3[O * ln(O\/E)]<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u3067\u306f\u3001\u5408\u8a08 300 \u5339\u306e\u30ab\u30e1\u304c\u89b3\u5bdf\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u5404\u7a2e\u306e\u5272\u5408\u304c\u7b49\u3057\u3044\u5834\u5408\u3001\u5404\u7a2e 100 \u5339\u306e\u30ab\u30e1\u304c\u89b3\u5bdf\u3055\u308c\u308b\u3053\u3068\u304c\u4e88\u60f3\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">G = 2 * [80*ln(80\/100) + 125*ln(125\/100) + 95*ln(95\/100)] = <strong>10.337<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u691c\u5b9a\u7d71\u8a08\u91cf\u306e p \u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30ab\u30a4\u4e8c\u4e57-p-\u5024\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">\u30ab\u30a4\u4e8c\u4e57\u304b\u3089 P \u5024\u3078\u306e\u8a08\u7b97\u30c4\u30fc\u30eb<\/a>\u306b\u3088\u308b\u3068\u3001\u691c\u5b9a\u7d71\u8a08\u91cf 10.337 \u304a\u3088\u3073 #categories-1 = 3-1 = 2 \u81ea\u7531\u5ea6\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f p \u5024\u306f<strong>0.005693<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u7814\u7a76\u8005\u306f\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5f7c\u5973\u304c\u3001\u5404\u30ab\u30e1\u306e\u7a2e\u304c\u540c\u3058\u5272\u5408\u3067\u305d\u306e\u7279\u5b9a\u306e\u5730\u57df\u306b<em>\u5b58\u5728\u3057\u306a\u3044\u3068<\/em>\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u3092\u6301\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30dc\u30fc\u30ca\u30b9: R \u306e\u9069\u5408\u5ea6\u306b\u95a2\u3059\u308b G \u30c6\u30b9\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">DescTools \u30d1\u30c3\u30b1\u30fc\u30b8\u306e<strong>Gtest()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001R \u3067\u9069\u5408\u5ea6 G \u30c6\u30b9\u30c8\u3092\u3059\u3070\u3084\u304f\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u524d\u306e\u4f8b\u3067 G \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the DescTools library<\/span>\n<span style=\"color: #993300;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#perform the G-test \n<\/span>GTest(x = c(80, 125, 95), <span style=\"color: #008080;\">#observed values<\/span>\n      p = c(1\/3, 1\/3, 1\/3), <span style=\"color: #008080;\">#expected proportions<\/span>\n      correct=\" <span style=\"color: #008000;\">none<\/span> \")\n\n\tLog likelihood ratio (G-test) goodness of fit test\n\ndata: c(80, 125, 95)\nG = 10.337, X-squared df = 2, p-value = 0.005693\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">G \u691c\u5b9a\u7d71\u8a08\u91cf\u306f<b>10.337<\/b>\u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u306f<strong>0.005693<\/strong>\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u624b\u52d5\u3067\u8a08\u7b97\u3057\u305f\u7d50\u679c\u3068\u4e00\u81f4\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u3053\u306e\u9069\u5408\u5ea6 G \u30c6\u30b9\u30c8\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u81ea\u7531\u306b\u4f7f\u7528\u3057\u3066\u3001\u4efb\u610f\u306e\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066 G \u30c6\u30b9\u30c8\u3092\u81ea\u52d5\u7684\u306b\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u5b66\u3067\u306f\u3001\u9069\u5408\u5ea6\u306e G \u691c\u5b9a\u3092\u4f7f\u7528\u3057\u3066\u3001\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u304c\u4eee\u8aac\u5206\u5e03\u306b\u5f93\u3046\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002 \u3053\u306e\u691c\u5b9a\u306f \u3001\u30ab\u30a4\u4e8c\u4e57\u9069\u5408\u5ea6\u691c\u5b9a\u306e\u4ee3\u66ff\u3067\u3042\u308a\u3001\u30c7\u30fc\u30bf\u306b\u5916\u308c\u5024\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u307e\u305f\u306f\u6271\u3046\u30c7\u30fc\u30bf\u304c\u975e\u5e38\u306b\u5927\u304d\u3044\u5834\u5408\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1523","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u9069\u5408\u5ea6\u306e G \u691c\u5b9a: \u5b9a\u7fa9 + \u4f8b<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u6b63\u5f0f\u306a\u5b9a\u7fa9\u3068\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u542b\u3081\u3001\u9069\u5408\u5ea6 G \u691c\u5b9a\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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