{"id":525,"date":"2023-07-29T14:56:51","date_gmt":"2023-07-29T14:56:51","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%a6%e3%82%a7%e3%83%ab%e3%83%81%e3%81%ae-t-%e6%a4%9c%e5%ae%9a\/"},"modified":"2023-07-29T14:56:51","modified_gmt":"2023-07-29T14:56:51","slug":"%e3%82%a6%e3%82%a7%e3%83%ab%e3%83%81%e3%81%ae-t-%e6%a4%9c%e5%ae%9a","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%a6%e3%82%a7%e3%83%ab%e3%83%81%e3%81%ae-t-%e6%a4%9c%e5%ae%9a\/","title":{"rendered":"\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a: \u3044\u3064\u4f7f\u7528\u3059\u308b\u304b + \u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">2 \u3064\u306e\u72ec\u7acb\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u6bd4\u8f03\u3057\u305f\u3044\u5834\u5408\u30012 \u3064\u306e\u7570\u306a\u308b\u691c\u5b9a\u306e\u3069\u3061\u3089\u3092\u4f7f\u7528\u3059\u308b\u304b\u3092\u9078\u629e\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u691c\u5b9a:<\/strong>\u3053\u306e\u691c\u5b9a\u3067\u306f\u30012 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u30c7\u30fc\u30bf\u304c<a href=\"https:\/\/statorials.org\/ja\/\u6b63\u898f\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6b63\u898f\u5206\u5e03<\/a>\u306b\u5f93\u3046\u6bcd\u96c6\u56e3\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3055\u308c\u3066\u304a\u308a\u30012 \u3064\u306e\u6bcd\u96c6\u56e3\u304c\u540c\u3058\u5206\u6563\u3092\u6301\u3064\u3053\u3068\u3092\u524d\u63d0\u3068\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a:<\/strong>\u3053\u306e\u691c\u5b9a\u3067\u306f\u3001\u4e21\u65b9\u306e\u30c7\u30fc\u30bf \u30b0\u30eb\u30fc\u30d7\u304c\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u6bcd\u96c6\u56e3\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u524d\u63d0\u3068\u3057\u3066\u3044\u307e\u3059<em>\u304c\u3001\u3053\u308c\u3089 2 \u3064\u306e\u6bcd\u96c6\u56e3\u304c\u540c\u3058\u5206\u6563\u3092\u6301\u3064\u3068\u306f\u60f3\u5b9a\u3057\u3066\u3044\u307e\u305b\u3093<\/em>\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u691c\u5b9a\u3068\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u9055\u3044<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">Student \u306e t \u691c\u5b9a\u3068 Welch \u306e t \u691c\u5b9a\u306e\u5b9f\u884c\u65b9\u6cd5\u306b\u306f 2 \u3064\u306e\u9055\u3044\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>\u30c6\u30b9\u30c8\u7d71\u8a08<\/strong><\/span><\/span><\/li>\n<li><span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6<\/strong><\/span><\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u5b66\u751f\u306e t \u691c\u5b9a:<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u691c\u5b9a\u7d71\u8a08\u91cf:<\/strong> ( <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> ) \/ s <sub>p<\/sub> (\u221a <span style=\"border-top: 1px solid black;\">1\/n <sub>1<\/sub> + 1\/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub>\u3068<span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub>\u306f\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u3001n <sub>1<\/sub>\u3068 n <sub>2<\/sub>\u306f\u305d\u308c\u305e\u308c\u30b5\u30f3\u30d7\u30eb 1 \u3068\u30b5\u30f3\u30d7\u30eb 2 \u306e\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3067\u3059\u3002s <sub>p \u306f<\/sub>\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">s <sub>p<\/sub><\/span> = <span style=\"color: #000000;\">\u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001s <sub>1<\/sub> <sup>2<\/sup>\u3068 s <sub>2<\/sub> <sup>2<\/sup>\u306f\u6a19\u672c\u5206\u6563\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6:<\/strong> n <sub>1<\/sub> + n <sub>2<\/sub> \u2013 2<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30a6\u30a7\u30eb\u30c1\u306e T \u691c\u5b9a<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u691c\u5b9a\u7d71\u8a08\u91cf:<\/strong> ( <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> ) \/ (\u221a <span style=\"border-top: 1px solid black;\">s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6:<\/strong><\/span> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ { [ (s <sub>1<\/sub> <sup>2<\/sup> \/ n <sub>1<\/sub> ) <sup>2<\/sup> \/ (n <sub>1<\/sub> \u2013 1) ] + [ (s <sub>2<\/sub> <sup>2<\/sup> \/ n <sub>2<\/sub> ) <sup>2<\/sup> \/ (n <sub>2<\/sub> \u2013 1) ] }<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u81ea\u7531\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u3067\u306f\u30012 \u3064\u306e\u6a19\u6e96\u504f\u5dee\u306e\u5dee\u304c\u8003\u616e\u3055\u308c\u307e\u3059\u3002 2 \u3064\u306e <a href=\"https:\/\/statorials.org\/ja\/\u6bcd\u96c6\u56e3\u3068\u30b5\u30f3\u30d5\u309a\u30eb-1\/\" target=\"_blank\" rel=\"noopener\">\u30b5\u30f3\u30d7\u30eb\u306e<\/a>\u6a19\u6e96\u504f\u5dee\u304c\u540c\u3058\u3067\u3042\u308b\u5834\u5408\u3001\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u81ea\u7531\u5ea6\u306f\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u691c\u5b9a\u306e\u81ea\u7531\u5ea6\u3068\u307e\u3063\u305f\u304f\u540c\u3058\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\u30012 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u306f\u540c\u3058\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u81ea\u7531\u5ea6\u306f\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u691c\u5b9a\u306e\u81ea\u7531\u5ea6\u3088\u308a\u3082\u5c0f\u3055\u304f\u306a\u308b\u50be\u5411\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u81ea\u7531\u5ea6\u306f\u4e00\u822c\u306b\u6574\u6570\u3067\u306f\u306a\u3044\u3053\u3068\u306b\u6ce8\u610f\u3059\u308b\u3053\u3068\u3082\u91cd\u8981\u3067\u3059\u3002\u624b\u52d5\u3067\u30c6\u30b9\u30c8\u3059\u308b\u5834\u5408\u306f\u3001\u6700\u5c0f\u306e\u6574\u6570\u306b\u56db\u6368\u4e94\u5165\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002 <em>R<\/em>\u306e\u3088\u3046\u306a\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306f\u81ea\u7531\u5ea6\u306e\u5c0f\u6570\u5024\u3092\u63d0\u4f9b\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u30a6\u30a7\u30eb\u30c1 t \u691c\u5b9a\u306f\u3044\u3064\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304b?<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/daniellakens.blogspot.com\/2015\/01\/always-use-welchs-t-test-instead-of.html\" target=\"_blank\" rel=\"noopener noreferrer\">\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306f\u3001\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3068\u5206\u6563\u304c\u30b0\u30eb\u30fc\u30d7\u9593\u3067\u7b49\u3057\u304f\u306a\u3044\u5834\u5408\u306b\u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u691c\u5b9a\u3088\u308a\u3082\u512a\u308c\u305f\u30d1\u30d5\u30a9\u30fc\u30de\u30f3\u30b9\u3092\u793a\u3057\u3001\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u304c\u7570\u306a\u308b\u5834\u5408\u3067\u3082\u540c\u3058\u7d50\u679c\u304c\u5f97\u3089\u308c\u308b\u305f\u3081\u30012 \u3064\u306e\u72ec\u7acb\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u6bd4\u8f03\u3059\u308b\u5834\u5408\u306f\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u30c7\u30d5\u30a9\u30eb\u30c8\u306e\u9078\u629e\u80a2\u306b\u3059\u308b\u3079\u304d\u3060\u3068<\/a>\u4e3b\u5f35\u3059\u308b\u4eba\u3082\u3044\u307e\u3059\u3002\u7570\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u9055\u3044\u306f\u7b49\u3057\u3044\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5b9f\u969b\u306b\u306f\u30012 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u6bd4\u8f03\u3059\u308b\u5834\u5408\u3001\u5404\u30b0\u30eb\u30fc\u30d7\u306e\u6a19\u6e96\u504f\u5dee\u304c\u540c\u3058\u306b\u306a\u308b\u53ef\u80fd\u6027\u306f\u307b\u3068\u3093\u3069\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5206\u6563\u306e\u7b49\u4fa1\u6027\u306b\u3064\u3044\u3066\u4eee\u5b9a\u3092\u7acb\u3066\u308b\u5fc5\u8981\u304c\u306a\u3044\u3088\u3046\u306b\u3001\u5e38\u306b\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3092\u304a\u52e7\u3081\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u4f7f\u7528\u4f8b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u6b21\u306e 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306b\u5bfe\u3057\u3066\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u3066\u3001\u305d\u308c\u3089\u306e\u6bcd\u5e73\u5747\u304c\u6709\u610f\u6c34\u6e96 0.05 \u3067\u6709\u610f\u306b\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b5\u30f3\u30d7\u30eb1:<\/strong> 14\u300115\u300115\u300115\u300116\u300118\u300122\u300123\u300124\u300125\u300125<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b5\u30f3\u30d7\u30eb2:<\/strong> 10\u300112\u300114\u300115\u300118\u300122\u300124\u300127\u300131\u300133\u300134\u300134\u300134<\/span><\/p>\n<p> <span style=\"color: #000000;\">3 \u3064\u306e\u7570\u306a\u308b\u65b9\u6cd5\u3067\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u624b\u306b\u3088\u3063\u3066<\/span><\/li>\n<li><span style=\"color: #000000;\">Microsoft Excel\u3092\u4f7f\u7528\u3059\u308b<\/span><\/li>\n<li><span style=\"color: #000000;\"><em>R<\/em>\u7d71\u8a08\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3092\u4f7f\u7528\u3059\u308b<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u624b\u52d5\u306b\u3088\u308b\u30a6\u30a7\u30eb\u30c1\u306e T \u691c\u5b9a<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30a6\u30a7\u30eb\u30c1 t \u691c\u5b9a\u3092\u624b\u52d5\u3067\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u3001\u30b5\u30f3\u30d7\u30eb\u5206\u6563\u3001\u304a\u3088\u3073\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3092\u898b\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x1<\/span> <sub>\u2013<\/sub><\/strong> 19.27<br \/><\/span> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x2<\/span> <sub>\u2013<\/sub><\/strong> 23.69<br \/> <strong>s <sub>1<\/sub> <sup>2<\/sup><\/strong> \u2013 \u5348\u5f8c 8 \u6642 42 \u5206<br \/><\/span><span style=\"color: #000000;\"><strong>\u30a2\u30fc\u30c8<sub>2<\/sub> <sup>2<\/sup><\/strong> \u2013 83.23<br \/> <strong>#<\/strong> <sub><strong>1<\/strong><\/sub> \uff5e11 <strong><br \/>#<\/strong> <sub><strong>2<\/strong><\/sub> \uff5e13<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u6570\u5024\u3092\u5165\u529b\u3057\u3066\u691c\u5b9a\u7d71\u8a08\u91cf\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u691c\u5b9a\u7d71\u8a08\u91cf:<\/strong> ( <span style=\"border-top: 1px solid black;\">x <sub>1<\/sub><\/span> \u2013 <span style=\"border-top: 1px solid black;\">x <sub>2<\/sub><\/span> ) \/ (\u221a <span style=\"border-top: 1px solid black;\">s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30c6\u30b9\u30c8\u7d71\u8a08: (19.27 \u2013 23.69) \/ (\u221a <span style=\"border-top: 1px solid black;\">20.42\/11 + 83.23\/13<\/span> ) = -4.42 \/ 2.873 = <strong>-1.538<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6:<\/strong> (s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ { [ (s <sub>1<\/sub> <sup>2<\/sup> \/ n <sub>1<\/sub> ) <sup>2<\/sup> \/ (n <sub>1<\/sub> \u2013 1) ] + [ (s <sub>2<\/sub> <sup>2<\/sup> \/ n <sub>2<\/sub> ) <sup>2<\/sup> \/ (n <sub>2<\/sub> \u2013 1) ] }<\/span><\/p>\n<p><span style=\"color: #000000;\">\u81ea\u7531\u5ea6: (20.42\/11 + 83.23\/13) <sup>2<\/sup> \/ { [ (20.42\/11) <sup>2<\/sup> \/ (11 \u2013 1) ] + [ (83.23\/13) <sup>2<\/sup> \/ (13 \u2013 1) ] } = 18.137\u3002\u3053\u306e\u7d50\u679c\u3092\u6700\u3082\u8fd1\u3044\u6574\u6570<strong>18<\/strong>\u306b\u4e38\u3081\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306b\u300118 \u81ea\u7531\u5ea6\u306e alpha = 0.05 \u306e\u4e21\u5074\u691c\u5b9a\u306b\u5bfe\u5fdc\u3059\u308b t \u5206\u5e03\u8868\u306e\u81e8\u754c\u5024<em>t<\/em>\u3092\u898b\u3064\u3051\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/t_dist.png\" alt=\"\u5206\u5e03\u8868T\" srcset=\"\" sizes=\"\"><\/p>\n<p><span style=\"color: #000000;\">\u81e8\u754c\u5024 t \u306f<strong>2.101<\/strong>\u3067\u3059\u3002\u691c\u5b9a\u7d71\u8a08\u91cf\u306e\u7d76\u5bfe\u5024 (1.538) \u306f\u81e8\u754c\u5024 t \u3088\u308a\u5927\u304d\u304f\u306a\u3044\u305f\u3081\u3001\u691c\u5b9a\u306e\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u304c\u5927\u304d\u304f\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Excel \u3092\u4f7f\u7528\u3057\u305f\u30a6\u30a7\u30eb\u30c1\u306e T \u691c\u5b9a<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">Excel \u3067\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u7121\u6599\u306e Analysis ToolPak \u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u3060 Excel \u306b\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/excel\u3066\u3099\u5206\u6790\u30c4\u30fc\u30eb\u30cf\u309a\u30c3\u30af\u3092\u30ed\u30fc\u30c8\u3099\u3059\u308b\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u65b9\u6cd5\u306b\u95a2\u3059\u308b\u7c21\u5358\u306a\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3092<\/a>\u66f8\u304d\u307e\u3057\u305f\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Analysis ToolPak \u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3057\u305f\u3089\u3001\u4ee5\u4e0b\u306e\u624b\u9806\u306b\u5f93\u3063\u3066 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306b\u5bfe\u3057\u3066\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u307e\u3059\u3002<\/strong> 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u30c7\u30fc\u30bf\u5024\u3092\u5217 A \u3068 B \u306b\u5165\u529b\u3057\u3001\u5404\u5217\u306e\u6700\u521d\u306e\u30bb\u30eb\u306b\u898b\u51fa\u3057<em>\u300c\u30b5\u30f3\u30d7\u30eb 1\u300d<\/em>\u3068<em>\u300c\u30b5\u30f3\u30d7\u30eb 2\u300d<\/em>\u3092\u5165\u529b\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u5206\u6790\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/strong>\u4e0a\u90e8\u306e\u30ea\u30dc\u30f3\u306b\u6cbf\u3063\u3066<strong>[\u30c7\u30fc\u30bf]<\/strong>\u30bf\u30d6\u306b\u79fb\u52d5\u3057\u307e\u3059\u3002\u6b21\u306b\u3001 <strong>[\u5206\u6790]<\/strong>\u30b0\u30eb\u30fc\u30d7\u3067\u3001[\u5206\u6790\u30c4\u30fc\u30eb] \u30a2\u30a4\u30b3\u30f3\u3092\u30af\u30ea\u30c3\u30af\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8868\u793a\u3055\u308c\u308b\u30c0\u30a4\u30a2\u30ed\u30b0 \u30dc\u30c3\u30af\u30b9\u3067\u3001 <strong>[t \u691c\u5b9a: \u4e0d\u7b49\u5206\u6563\u3092\u4eee\u5b9a\u3057\u305f 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb] \u3092<\/strong>\u30af\u30ea\u30c3\u30af\u3057\u3001[OK] \u3092\u30af\u30ea\u30c3\u30af\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306b\u3001\u4ee5\u4e0b\u306e\u5024\u3092\u5165\u529b\u3057\u3066\u3001\u300cOK\u300d\u3092\u30af\u30ea\u30c3\u30af\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u7d50\u679c\u304c\u8868\u793a\u3055\u308c\u308b\u306f\u305a\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c6\u30b9\u30c8\u306e\u7d50\u679c\u306f\u3001\u624b\u52d5\u3067\u53d6\u5f97\u3057\u305f\u7d50\u679c\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306f<strong>-1.5379<\/strong>\u3067\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e21\u5074\u81e8\u754c\u5024\u306f<strong>2.1009<\/strong>\u3067\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306e\u7d76\u5bfe\u5024\u306f\u4e21\u5074\u81e8\u754c\u5024\u3088\u308a\u5927\u304d\u304f\u306a\u3044\u305f\u3081\u30012 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u306f\u7d71\u8a08\u7684\u306b\u7570\u306a\u308a\u307e\u305b\u3093\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u3055\u3089\u306b\u3001\u691c\u5b9a\u306e\u4e21\u5074 p \u5024\u306f 0.14 \u3067\u30010.05 \u3088\u308a\u3082\u5927\u304d\u304f\u30012 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u5024\u306b\u7d71\u8a08\u7684\u306a\u5dee\u7570\u304c\u306a\u3044\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>R \u3092\u4f7f\u7528\u3057\u305f\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001 <em>R<\/em>\u7d71\u8a08\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3092\u4f7f\u7528\u3057\u3066 2 \u3064\u306e\u30b5\u30f3\u30d7\u30eb\u306b\u5bfe\u3057\u3066\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create two vectors to hold sample data values\n<\/span>sample1 &lt;- c(14, 15, 15, 15, 16, 18, 22, 23, 24, 25, 25)\nsample2 &lt;- c(10, 12, 14, 15, 18, 22, 24, 27, 31, 33, 34, 34, 34)\n\n<span style=\"color: #008080;\">#conduct Welch's test\n<\/span><span style=\"color: #800080;\">t.test(<\/span> sample1, sample2)\n\n# Welch Two Sample t-test\n#\n#data: sample1 and sample2\n#t = -1.5379, df = 18.137, p-value = 0.1413\n#alternative hypothesis: true difference in means is not equal to 0\n#95 percent confidence interval:\n#-10.453875 1.614714\n#sample estimates:\n#mean of x mean of y \n#19.27273 23.69231 \n#<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>t.test()<\/strong>\u95a2\u6570\u306f\u3001\u6b21\u306e\u95a2\u9023\u3059\u308b\u51fa\u529b\u3092\u8868\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>t:<\/strong>\u691c\u5b9a\u7d71\u8a08\u91cf = <strong>-1.5379<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df<\/strong> : \u81ea\u7531\u5ea6 = <strong>18.137<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p \u5024:<\/strong>\u4e21\u5074\u691c\u5b9a\u306e p \u5024 = <strong>0.1413<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>95% \u4fe1\u983c\u533a\u9593<\/strong>: \u6bcd\u96c6\u56e3\u5e73\u5747\u306e\u771f\u306e\u5dee\u306e 95%<a href=\"https:\/\/statorials.org\/ja\/\u4fe1\u983c\u533a\u9593-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4fe1\u983c\u533a\u9593<\/a>= <strong>(-10.45, 1.61)<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u306e\u7d50\u679c\u306f\u3001\u624b\u52d5\u304a\u3088\u3073 Excel \u3092\u4f7f\u7528\u3057\u3066\u53d6\u5f97\u3057\u305f\u7d50\u679c\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u3053\u308c\u3089 2 \u3064\u306e\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u306e\u5dee\u306f\u3001\u30a2\u30eb\u30d5\u30a1 = 0.05 \u306e\u30ec\u30d9\u30eb\u3067\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u3064\u306e\u72ec\u7acb\u3057\u305f\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u3092\u6bd4\u8f03\u3057\u305f\u3044\u5834\u5408\u30012 \u3064\u306e\u7570\u306a\u308b\u691c\u5b9a\u306e\u3069\u3061\u3089\u3092\u4f7f\u7528\u3059\u308b\u304b\u3092\u9078\u629e\u3067\u304d\u307e\u3059\u3002 \u30b9\u30c1\u30e5\u30fc\u30c7\u30f3\u30c8\u306e t \u691c\u5b9a:\u3053\u306e\u691c\u5b9a\u3067\u306f\u30012 \u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u30c7\u30fc\u30bf\u304c\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u6bcd\u96c6\u56e3\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3055\u308c\u3066\u304a\u308a\u3001 [&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-525","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>\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a: \u3044\u3064\u4f7f\u7528\u3059\u308b\u304b + \u4f8b - \u7d71\u8a08<\/title>\n<meta name=\"description\" content=\"\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u4f7f\u7528\u65b9\u6cd5\u3068\u4f7f\u7528\u6642\u671f\u3092\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3059\u308b\u7c21\u5358\u306a\u30ac\u30a4\u30c9\u3067\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/ja\/\u30a6\u30a7\u30eb\u30c1\u306e-t-\u691c\u5b9a\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a: \u3044\u3064\u4f7f\u7528\u3059\u308b\u304b + \u4f8b - \u7d71\u8a08\" \/>\n<meta property=\"og:description\" content=\"\u30a6\u30a7\u30eb\u30c1\u306e t \u691c\u5b9a\u306e\u4f7f\u7528\u65b9\u6cd5\u3068\u4f7f\u7528\u6642\u671f\u3092\u3001\u3044\u304f\u3064\u304b\u306e\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3059\u308b\u7c21\u5358\u306a\u30ac\u30a4\u30c9\u3067\u3059\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ja\/\u30a6\u30a7\u30eb\u30c1\u306e-t-\u691c\u5b9a\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T14:56:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/t_dist.png\" \/>\n<meta name=\"author\" content=\"\u30d9\u30f3\u30b8\u30e3\u30df\u30f3\u30fb\u30a2\u30f3\u30c0\u30fc\u30bd\u30f3\u535a\u58eb\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" 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