{"id":1573,"date":"2013-01-22T16:54:53","date_gmt":"2013-01-22T07:54:53","guid":{"rendered":"http:\/\/fujiitoshiki.com\/improvesociety\/?p=1573"},"modified":"2017-04-27T08:45:11","modified_gmt":"2017-04-26T23:45:11","slug":"%e5%a4%9a%e9%87%8d%e6%af%94%e8%bc%83%e3%81%99%e3%82%8b%e3%81%ab%e3%81%af%e3%81%be%e3%81%9a%e5%88%86%e6%95%a3%e5%88%86%e6%9e%90%e3%82%92%e8%a1%8c%e3%81%84%ef%bc%8c%e6%ac%a1%e3%81%84%e3%81%a7%e5%90%84","status":"publish","type":"post","link":"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=1573","title":{"rendered":"\u591a\u91cd\u6bd4\u8f03\u3059\u308b\u306b\u306f\u307e\u305a\u5206\u6563\u5206\u6790\u3092\u884c\u3044\uff0c\u6b21\u3044\u3067\u5404\u7fa4\u9593\u306e\u6bd4\u8f03\u3092\u884c\u3046"},"content":{"rendered":"<div class=\"theContentWrap-ccc\"><p>\u30002 \u7fa4\u9593\u306e\u5e73\u5747\u5024\u306b\u5dee\u304c\u3042\u308b\u304b\u3092\u691c\u5b9a\u3059\u308b\u306b\u306f Student&#8217;s t \u691c\u5b9a\u3092\u884c\u3044\u307e\u3057\u305f\uff0e\u4eca\u56de\u306f 3 \u7fa4\u9593\u306e\u5e73\u5747\u5024\u306b\u5dee\u304c\u3042\u308b\u304b\u3092\u691c\u5b9a\u3059\u308b\u65b9\u6cd5\u3092\u8ff0\u3079\u307e\u3059\uff0e\u691c\u5b9a\u306f 2 \u6bb5\u968e\u306b\u5206\u3051\u3066\u884c\u3044\u307e\u3059\uff0e<\/p>\n<ol>\n<li><span style=\"line-height: 16px;\">\u5206\u6563\u5206\u6790 (ANOVA)<\/span><\/li>\n<li>\u5404\u7fa4\u9593\u306e\u6bd4\u8f03<\/li>\n<\/ol>\n<h3>1. \u5206\u6563\u5206\u6790 (analysis of variance)<\/h3>\n<p>\u3000\u5206\u6563\u5206\u6790\u3067\u306f\u5e30\u7121\u4eee\u8aac\u3092\u300e\u5168\u3066\u306e\u7fa4\u304c\u540c\u4e00\u306e\u6bcd\u96c6\u56e3\u306b\u5c5e\u3059\u308b\u300f\u3068\u3057\u307e\u3059\uff0e\u3053\u308c\u3092\u5426\u5b9a\u51fa\u6765\u308c\u3070\u5168\u3066\u306e\u7fa4\u304c\u540c\u4e00\u6bcd\u96c6\u56e3\u306b\u306f\u5c5e\u3057\u306a\u3044\u3053\u3068\u304c\u8a00\u3048\u307e\u3059\uff0e\u4ee5\u4e0b\u305d\u306e\u65b9\u6cd5\u3092\u8ff0\u3079\u307e\u3059\uff0e<\/p>\n<p>\u3000\u3059\u3079\u3066\u306e\u7fa4\u304c\u540c\u4e00\u6bcd\u96c6\u56e3\u306b\u5c5e\u3057\u3066\u3044\u308b\u306a\u3089 3 \u7fa4\u5168\u90e8\u306e\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u5024 (grand mean; MG) \u306f\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u306b\u8fd1\u304f\u306a\u308b\u306f\u305a\u3067\u3059\uff0e\u3055\u3089\u306b\u3059\u3079\u3066\u306e\u7fa4\u304c\u540c\u4e00\u6bcd\u96c6\u56e3\u306b\u5c5e\u3059\u308b\u306a\u3089\uff0c\u305d\u308c\u305e\u308c\u306e\u7fa4\u306e\u5e73\u5747\u5024 (M1, M2, M3) \u306f MG \u306b\u8fd1\u304f\u306a\u308b\u306f\u305a\u3067\u3059\uff0e\u9006\u306b 3 \u7fa4\u304c\u7570\u306a\u308b\u6bcd\u96c6\u56e3\u306b\u5c5e\u3059\u308b\u306a\u3089 M1, M2, M3 \u306f MG \u304b\u3089\u96e2\u308c\u305f\u5024\u306b\u306a\u308a\u307e\u3059\uff0e\u305d\u3053\u3067\u5404\u7fa4\u306e\u5e73\u5747\u5024\u304c\u7dcf\u5e73\u5747\u5024\u304b\u3089\u3069\u308c\u3060\u3051\u96e2\u308c\u3066\u3044\u308b\u304b\uff0c\u305d\u308c\u305e\u308c\u306e\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u6570 n \u3067\u88dc\u6b63\u3057\u305f\u6307\u6a19\u3092\u4e0b\u8a18\u306e\u5f0f\u3067\u8868\u73fe\u3057\u307e\u3059\uff0e\u3053\u308c\u306f\u5e73\u5747\u5024\u306e\u7fa4\u9593\u5dee\u306e\u5e73\u65b9\u548c\u3067\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+MSA+%3D+%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5Ek+n_i+%28M_i+-+MG%29%5E2%7D%7Bk-1%7D+&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle MSA = \\frac{\\sum_{i=1}^k n_i (M_i - MG)^2}{k-1} ' title='\\displaystyle MSA = \\frac{\\sum_{i=1}^k n_i (M_i - MG)^2}{k-1} ' class='latex' \/><\/p>\n<p>MSA; mean square among groups. n; number of sample in each groups. i; number of group (incremental variable). k; number of groups.<\/p>\n<p>\u3000\u6b21\u306b\u5404\u30b5\u30f3\u30d7\u30eb\u306e\u5206\u6563\u3092\u6c42\u3081\uff0c\u5404\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u6570\u3067\u88dc\u6b63\u3057\u3066 1 \u30b5\u30f3\u30d7\u30eb\u3042\u305f\u308a\u306e\u3070\u3089\u3064\u304d\u306e\u6307\u6a19\u3068\u3057\u307e\u3059\uff0e\u3053\u308c\u306f\u7fa4\u5185\u306e\u5206\u6563\u306e\u5e73\u5747\u5024\u3068\u306a\u308a\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+MSE+%3D+%5Cfrac%7B%5Csum_%7Bi%3D1%7D%5Ek+%28n_i+-+1%29V_i%7D%7B%5Csum_%7Bi%3D1%7D%5E%7Bk%7D%28n_i+-+1%29%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle MSE = \\frac{\\sum_{i=1}^k (n_i - 1)V_i}{\\sum_{i=1}^{k}(n_i - 1)}' title='\\displaystyle MSE = \\frac{\\sum_{i=1}^k (n_i - 1)V_i}{\\sum_{i=1}^{k}(n_i - 1)}' class='latex' \/><\/p>\n<p>MSE; mean square of error. n; number of sample in each groups. i; number of group (incremental variable). k; number of groups. V; variance.<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+V+%3D+%5Cfrac%7B%5Csum%28x+-+%5Cbar+x%29%5E2%7D%7Bn-1%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle V = \\frac{\\sum(x - \\bar x)^2}{n-1}' title='\\displaystyle V = \\frac{\\sum(x - \\bar x)^2}{n-1}' class='latex' \/><\/p>\n<p>x; each value of samples in each groups. n; number of sample.<\/p>\n<p>\u3000\u4e0b\u8a18\u306e\u5f0f\u306e\u3088\u3046\u306b MSA \u3068 MSE \u306e\u6bd4\u3092\u53d6\u308b\u3068\uff0c MSA\/MSE \u306f F \u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\uff0eF \u306e\u5024\u304c\u4e00\u5b9a\u4ee5\u4e0a\u3068\u306a\u308b\u3068\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\uff0c\u5168\u3066\u306e\u7fa4\u304c\u540c\u4e00\u6bcd\u96c6\u56e3\u306b\u306f\u5c5e\u3057\u306a\u3044\u3053\u3068\u304c\u8a00\u3048\uff0c\u5404\u7fa4\u9593\u306e\u6bd4\u8f03\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\uff0e<\/p>\n<p><img src='https:\/\/s0.wp.com\/latex.php?latex=%5Cdisplaystyle+F%3D%5Cfrac%7BMSA%7D%7BMSE%7D&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\displaystyle F=\\frac{MSA}{MSE}' title='\\displaystyle F=\\frac{MSA}{MSE}' class='latex' \/><\/p>\n<h3>2. \u5404\u7fa4\u9593\u306e\u6bd4\u8f03<\/h3>\n<p>\u3000ANOVA \u306e\u7d50\u679c\uff0c\u5168\u3066\u306e\u7fa4\u304c\u540c\u4e00\u6bcd\u96c6\u56e3\u306b\u306f\u5c5e\u3057\u306a\u3044\u3053\u3068\u304c\u8a3c\u660e\u3055\u308c\u305f\u5f8c\u306b\u5404\u7fa4\u9593\u3092\u6bd4\u8f03\u3059\u308b\u65b9\u6cd5\u306b\u306f\u3044\u304f\u3064\u304b\u3042\u308a\u307e\u3059\uff0e<\/p>\n<ul>\n<li><span style=\"line-height: 16px;\">Bonferroni \u6cd5<\/span><\/li>\n<li>Tukey \u6cd5<\/li>\n<li>Dunnet \u6cd5<\/li>\n<li>Hsu&#8217;s MCB method<\/li>\n<li>Scheffe&#8217;s procedure<\/li>\n<\/ul>\n<p>\u3000Bonferroni \u6cd5\u304c\u5206\u304b\u308a\u3084\u3059\u3044\u306e\u3067\u8ff0\u3079\u307e\u3059\uff0e\u6709\u610f\u6c34\u6e96 <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Calpha&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\alpha' title='\\alpha' class='latex' \/> \u3092\u7fa4\u6570 k \u3067\u9664\u7b97\u3057\u305f <img src='https:\/\/s0.wp.com\/latex.php?latex=%5Calpha%2Fk&#038;bg=T&#038;fg=000000&#038;s=0' alt='\\alpha\/k' title='\\alpha\/k' class='latex' \/> \u3092\u6709\u610f\u6c34\u6e96\u3068\u3059\u308b\u65b9\u6cd5\u3067\u3059\uff0e\u4e0b\u56f3\u306f Bonferroni \u6cd5\u306b\u3088\u308b\u6709\u610f\u6c34\u6e96\u3092\u88dc\u6b63\u3057\u305f\u5834\u5408\u3068\u3057\u306a\u3044\u5834\u5408\u3068\u3067\u6709\u610f\u6c34\u6e96\u304c\u3069\u3046\u5909\u5316\u3059\u308b\u304b\u793a\u3057\u305f\u30b0\u30e9\u30d5\u3067\u3059\uff0e<\/p>\n<p><a href=\"\/\/fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/20130123BonferroniCorrectedSignificanceLevel.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"\/\/fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/20130123BonferroniCorrectedSignificanceLevel-300x300.jpg\" alt=\"Bonferroni Corrected Significance Level\" width=\"300\" height=\"300\" class=\"alignnone size-medium wp-image-1687\" srcset=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/20130123BonferroniCorrectedSignificanceLevel-300x300.jpg 300w, https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/20130123BonferroniCorrectedSignificanceLevel-150x150.jpg 150w, https:\/\/www.fujiitoshiki.com\/improvesociety\/wp-content\/uploads\/20130123BonferroniCorrectedSignificanceLevel.jpg 302w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/a><\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u30002 \u7fa4\u9593\u306e\u5e73\u5747\u5024\u306b\u5dee\u304c\u3042\u308b\u304b\u3092\u691c\u5b9a\u3059\u308b\u306b\u306f Student&#8217;s t \u691c\u5b9a\u3092\u884c\u3044\u307e\u3057\u305f\uff0e\u4eca\u56de\u306f 3 \u7fa4\u9593\u306e\u5e73\u5747\u5024\u306b\u5dee\u304c\u3042\u308b\u304b\u3092\u691c\u5b9a\u3059\u308b\u65b9\u6cd5\u3092\u8ff0\u3079\u307e\u3059\uff0e\u691c\u5b9a\u306f 2 \u6bb5\u968e\u306b\u5206\u3051\u3066\u884c\u3044\u307e\u3059\uff0e \u5206\u6563\u5206\u6790 (ANOVA &hellip; <a href=\"https:\/\/www.fujiitoshiki.com\/improvesociety\/?p=1573\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u591a\u91cd\u6bd4\u8f03\u3059\u308b\u306b\u306f\u307e\u305a\u5206\u6563\u5206\u6790\u3092\u884c\u3044\uff0c\u6b21\u3044\u3067\u5404\u7fa4\u9593\u306e\u6bd4\u8f03\u3092\u884c\u3046&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-1573","post","type-post","status-publish","format-standard","hentry","category-statistics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/1573","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1573"}],"version-history":[{"count":89,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/1573\/revisions"}],"predecessor-version":[{"id":7664,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=\/wp\/v2\/posts\/1573\/revisions\/7664"}],"wp:attachment":[{"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1573"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1573"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fujiitoshiki.com\/improvesociety\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}