{"id":1385,"date":"2023-07-26T14:31:40","date_gmt":"2023-07-26T14:31:40","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%b3%e3%82%af%e3%83%a9%e3%83%b3q%e3%83%86%e3%82%b9%e3%83%88\/"},"modified":"2023-07-26T14:31:40","modified_gmt":"2023-07-26T14:31:40","slug":"%e3%82%b3%e3%82%af%e3%83%a9%e3%83%b3q%e3%83%86%e3%82%b9%e3%83%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%b3%e3%82%af%e3%83%a9%e3%83%b3q%e3%83%86%e3%82%b9%e3%83%88\/","title":{"rendered":"\u30b3\u30af\u30e9\u30f3\u306eq\u30c6\u30b9\u30c8\u3068\u306f\u4f55\u3067\u3059\u304b? (\u5b9a\u7fa9&amp;#038;\u4f8b)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u306f\u3001<\/strong>\u5404\u30b0\u30eb\u30fc\u30d7\u306b\u540c\u3058\u500b\u4eba\u304c\u51fa\u73fe\u3059\u308b 3 \u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u300c\u6210\u529f\u300d\u306e\u5272\u5408\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u30c6\u30b9\u30c8\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3057\u3066\u30013 \u3064\u306e\u7570\u306a\u308b\u5b66\u7fd2\u624b\u6cd5\u3092\u4f7f\u7528\u3057\u305f\u5834\u5408\u306b\u30c6\u30b9\u30c8\u306b\u5408\u683c\u3059\u308b\u751f\u5f92\u306e\u5272\u5408\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq2.png\" alt=\"\" width=\"313\" height=\"449\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u624b\u9806<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30b3\u30af\u30e9\u30f3\u306e Q \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<p><span style=\"color: #000000;\"><strong>\u5e30\u7121\u4eee\u8aac (H <sub>0<\/sub> ):<\/strong> \u300c\u6210\u529f\u300d\u306e\u5272\u5408\u306f\u3059\u3079\u3066\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u540c\u3058\u3067\u3059<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5bfe\u7acb\u4eee\u8aac ( <sub>HA<\/sub> ):<\/strong> \u300c\u6210\u529f\u300d\u306e\u5272\u5408\u306f\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u7570\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\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><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13781 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq.png\" alt=\"\" width=\"235\" height=\"105\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong>\u6cbb\u7642\u6570 (\u307e\u305f\u306f\u300c\u30b0\u30eb\u30fc\u30d7\u300d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Xj:<\/strong> <sup>j \u756a\u76ee<\/sup>\u306e\u51e6\u7406\u306e\u5217\u306e\u5408\u8a08<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>b:<\/strong>\u30d6\u30ed\u30c3\u30af\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u30b7\u30fc\u3055\u3093\u3002 :<\/strong> <sup>i \u756a\u76ee\u306e<\/sup>\u30d6\u30ed\u30c3\u30af\u306e\u884c\u306e\u5408\u8a08<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>N:<\/strong>\u7dcf\u8a08<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><em>T<\/em>\u691c\u5b9a\u7d71\u8a08\u91cf\u306f<em>\u3001k-1<\/em>\u81ea\u7531\u5ea6\u306e\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f<a href=\"https:\/\/statorials.org\/ja\/p-\u5024\u306e\u7d71\u8a08\u7684\u6709\u610f\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u5024\u304c<\/a>\u7279\u5b9a\u306e\u6709\u610f\u30ec\u30d9\u30eb (\u03b1 = 0.05 \u306a\u3069) \u3092\u4e0b\u56de\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u300c\u6210\u529f\u300d\u306e\u5272\u5408\u304c\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u30b0\u30eb\u30fc\u30d7\u306e\u3046\u3061\u306e\u5c11\u306a\u304f\u3068\u3082 1 \u3064\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: \u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7814\u7a76\u8005\u304c\u30013 \u3064\u306e\u7570\u306a\u308b\u5b66\u7fd2\u624b\u6cd5\u304c\u751f\u5f92\u9593\u306e\u6210\u529f\u7387\u306e\u7570\u306a\u308b\u5272\u5408\u306b\u3064\u306a\u304c\u308b\u304b\u3069\u3046\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u8003\u3048\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u3001\u5f7c\u5973\u306f 20 \u4eba\u306e\u5b66\u751f\u3092\u52df\u96c6\u3057\u3001\u305d\u308c\u305e\u308c 3 \u3064\u306e\u7570\u306a\u308b\u5b66\u7fd2\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u540c\u3058\u96e3\u6613\u5ea6\u306e\u8a66\u9a13\u3092\u53d7\u3051\u3055\u305b\u307e\u3059\u3002\u7d50\u679c\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq2.png\" alt=\"\" width=\"313\" height=\"449\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u3092\u624b\u52d5\u3067\u5b9f\u884c\u3059\u308b\u306e\u306f\u9762\u5012\u306a\u305f\u3081\u3001\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u3001R \u7d71\u8a08\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3067\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u30b3\u30fc\u30c9\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load DescTools package<\/span>\n<span style=\"color: #993300;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#create dataset<\/span>\ndf &lt;- data.frame(student= <span style=\"color: #3366ff;\">rep<\/span> (1:20, <span style=\"color: #3366ff;\">each<\/span> = <span style=\"color: #008000;\">3<\/span> ),\n                 technique= <span style=\"color: #3366ff;\">rep<\/span> (c('A', 'B', 'C'), times= <span style=\"color: #008000;\">20<\/span> ),\n                 outcome=c(1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1,\n                           1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1,\n                           1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1,\n                           1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1))\n\n<span style=\"color: #008080;\">#perform Cochran's Q test<\/span>\nCochranQTest(outcome ~ technique| student, data=df)\n\n\tCochran's Q test\n\ndata: outcome and technique and student\nQ = 0.33333, df = 2, p-value = 0.8465<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30c6\u30b9\u30c8\u7d50\u679c\u304b\u3089\u6b21\u306e\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306f<strong>0.333<\/strong>\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5bfe\u5fdc\u3059\u308b p \u5024\u306f<strong>0.8465<\/strong>\u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u5b66\u751f\u304c\u4f7f\u7528\u3059\u308b\u5b66\u7fd2\u624b\u6cd5\u306b\u3088\u3063\u3066\u6210\u529f\u7387\u306e\u5272\u5408\u304c\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u306a\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u306f\u3001\u5404\u30b0\u30eb\u30fc\u30d7\u306b\u540c\u3058\u500b\u4eba\u304c\u51fa\u73fe\u3059\u308b 3 \u3064\u4ee5\u4e0a\u306e\u30b0\u30eb\u30fc\u30d7\u3067\u300c\u6210\u529f\u300d\u306e\u5272\u5408\u304c\u7b49\u3057\u3044\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u7d71\u8a08\u30c6\u30b9\u30c8\u3067\u3059\u3002 \u305f\u3068\u3048\u3070\u3001\u30b3\u30af\u30e9\u30f3\u306e Q \u30c6\u30b9\u30c8\u3092\u4f7f\u7528\u3057\u3066\u30013 \u3064\u306e\u7570\u306a\u308b\u5b66\u7fd2\u624b\u6cd5 [&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-1385","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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