{"id":26707,"date":"2012-02-24T13:53:24","date_gmt":"2012-02-24T04:53:24","guid":{"rendered":"http:\/\/ur.edu-connect.net\/?p=26707"},"modified":"2024-02-03T23:34:37","modified_gmt":"2024-02-03T14:34:37","slug":"%e8%b3%aa%e5%95%8f%e7%b4%99%e6%b3%95%e3%81%a8%e6%a4%9c%e5%ae%9a%e3%81%ae%e5%a4%9a%e9%87%8d%e6%80%a7%e3%81%ae%e5%95%8f%e9%a1%8c","status":"publish","type":"post","link":"https:\/\/ur.edu-connect.net\/archives\/26707","title":{"rendered":"\u8cea\u554f\u7d19\u6cd5\uff1a\u8cea\u554f\u9805\u76ee\u9593\u306e\u691c\u5b9a\u306e\u591a\u91cd\u6027\u306e\u554f\u984c"},"content":{"rendered":"\n

\u8cea\u554f\u7d19\u6cd5\u3068\u4ee3\u8868\u5024\u306e\u691c\u5b9a<\/h2>\n\n\n\n

\u8cea\u554f\u7d19\u6cd5\u306f\u3044\u308f\u3086\u308b\u300c\u30a2\u30f3\u30b1\u30fc\u30c8\u300d\u3068\u547c\u3070\u308c\u308b\u8abf\u67fb\u624b\u6cd5\u3067\u3059\u304c\uff0c\u8abf\u67fb\u5bfe\u8c61\u8005\u306e\u5185\u9762\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u5fc3\u7406\u5b66\u7684\u624b\u6cd5\u306e\u4e00\u3064\u3068\u3057\u3066\u30e1\u30b8\u30e3\u30fc\u306a\u624b\u6cd5\u3067\u3059\u306d\uff0e\u6559\u80b2\u5fc3\u7406\u5b66\u3084\u5b66\u7fd2\u79d1\u5b66\u3067\u306f\uff0c\u523a\u6fc0\u306b\u5bfe\u3059\u308b\u5fc3\u7406\u7684\u53cd\u5fdc\u3092\u6e2c\u5b9a\u3059\u308b\u65b9\u6cd5\u3068\u3057\u3066\u3088\u304f\u7528\u3044\u3089\u308c\u307e\u3059\uff0e\u7814\u7a76\u306b\u304a\u3044\u3066\u306f\uff0c\u7814\u7a76\u5bfe\u8c61\u3068\u3059\u308b\u6bcd\u96c6\u56e3\u5168\u54e1\u304b\u3089\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3067\u304d\u306a\u3044\u5834\u5408\uff0c\u9069\u5207\u306a\u65b9\u6cd5\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u305f\u6a19\u672c\u96c6\u56e3\u304b\u3089\u5f97\u3089\u308c\u305f\u30c7\u30fc\u30bf\u3092\u7528\u3044\uff0c\u7d71\u8a08\u7684\u691c\u5b9a\u3092\u884c\u3063\u3066\u81ea\u3089\u306e\u4e3b\u5f35\u306e\u59a5\u5f53\u6027\u3092\u793a\u3059\uff0c\u3068\u3044\u3046\u30d7\u30ed\u30bb\u30b9\u3092\u8e0f\u3080\u3053\u3068\u306b\u306a\u308a\u307e\u3059\uff0e\u5927\u62b5\u306e\u5834\u5408\uff0c\u6bcd\u96c6\u56e3\u5168\u54e1\u304b\u3089\u30c7\u30fc\u30bf\u3092\u53d6\u5f97\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u306e\u3067\uff0c\u7d71\u8a08\u51e6\u7406\u304c\u5fc5\u8981\u306b\u306a\u308b\u5834\u9762\u304c\u591a\u3044\u3067\u3057\u3087\u3046\uff0e<\/p>\n\n\n\n

\u691c\u5b9a\u306e\u591a\u91cd\u6027<\/h2>\n\n\n\n

\u7d71\u8a08\u7684\u691c\u5b9a\u306b\u306f\uff0c\uff08\u5c11\u306a\u304f\u3068\u3082\uff092\u7a2e\u985e\u306e\u904e\u8aa4\u3092\u751f\u3058\u308b\u5371\u967a\u6027\u304c\u3042\u308a\u307e\u3059\uff0e\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u3068\u7b2c\u4e8c\u7a2e\u306e\u904e\u8aa4\u3067\u3059\uff08\u8a73\u3057\u304f\u306fWikipedia\u306e\u7b2c\u4e00\u7a2e\u904e\u8aa4\u3068\u7b2c\u4e8c\u7a2e\u904e\u8aa4<\/a>\u3092\u53c2\u7167\uff09\uff0e\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u306f\uff0c\u3044\u308f\u3086\u308b\u507d\u967d\u6027\u3067\uff0c\u6709\u610f\u306a\u5dee\u304c\u306a\u3044\u306e\u306b\u5dee\u304c\u3042\u308b\u3068\u3057\u3066\u3057\u307e\u3046\u8aa4\u308a\uff0c\u7b2c\u4e8c\u7a2e\u306e\u904e\u8aa4\u306f\u3044\u308f\u3086\u308b\u507d\u9670\u6027\u3067\uff0c\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u306e\u306b\u691c\u51fa\u3067\u304d\u306a\u3044\u8aa4\u308a\uff0e<\/p>\n\n\n\n

\u30b7\u30f3\u30d7\u30eb\u306a\u4f8b\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3059\uff0e\u6bd4\u8f03\u3057\u305f\u3044\u7fa4\u304c\uff0c\u3042\u308b\u51e6\u7f6e\u3092\u884c\u3063\u305f\u5b9f\u9a13\u7fa4A\u3068\u7d71\u5236\u7fa4B\u3057\u304b\u306a\u304f\uff0c\u4e21\u7fa4\u304b\u3089\u8cea\u554f\u7d19\u3092\u56de\u53ce\u3059\u308b\u3053\u3068\u304c\u3067\u304d\uff0c\u305d\u308c\u305e\u308c\u306e\u7fa4\u306e\u5e73\u5747\u5024\u3092t\u691c\u5b9a\u3067\u6bd4\u8f03\u3067\u304d\u308b\u6761\u4ef6\u304c\u6574\u3063\u3066\u3044\u308b\u3068\u3057\u307e\u3059\uff0e\u3053\u306e\u5834\u5408\uff0c\u7814\u7a76\u8005\u304c\u6709\u610f\u6c34\u6e96\u03b1\u30925%\u3068\u8a2d\u5b9a\u3057\u305f\u5834\u5408\u306b\u306f\uff0c\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u304d\u308b\u78ba\u7387\u306f5%\u3067\u3059\uff0e\u4f8b\u3048\u3070\uff0c\u3042\u308b\u8cea\u554f\u9805\u76ee\u306b\u3064\u3044\u3066\uff0cA\u7fa4\u306e\u5e73\u5747\u5024\u304cB\u7fa4\u3088\u308a\u3082\u9ad8\u304f\uff0c\u6709\u610f\u5dee\u304c\u691c\u51fa\u3055\u308c\u305f\u3068\u3057\u3066\u3082\uff0c5%\u306e\u78ba\u7387\u3067\u305d\u306e\u7d50\u679c\u306f\u8aa4\u3063\u3066\u3044\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u306d\uff0e<\/p>\n\n\n\n

\u6b21\u306b\uff0c\u5bfe\u8c61\u3068\u306a\u308b\u7fa4\u304c3\u7fa4\u4ee5\u4e0a\u3067\uff0c\u305d\u308c\u305e\u308c\u306e\u7fa4\u9593\u306e\u9055\u3044\u3092\u691c\u5b9a\u3059\u308b\u5834\u5408\u3092\u8003\u3048\u307e\u3059\uff0e\u51e6\u7f6eA\u3092\u884c\u3063\u305f\u7fa4A\uff0c\u51e6\u7f6eB\u3092\u884c\u3063\u305f\u7fa4B\uff0c\u7d71\u5236\u7fa4C\u306e3\u7fa4\u306b\u304a\u3044\u3066\u7fa4\u9593\u306e\u5dee\u7570\u3092\u78ba\u304b\u3081\u305f\u3044\u5834\u5408\uff0c\u691c\u5b9a\u3092\u884c\u3046\u7d44\u307f\u5408\u308f\u305b\u306fA-B\uff0cB-C\uff0cC-A\u306e3\u901a\u308a\u3067\u3059\uff0e\u3053\u3053\u3067\uff0c\u5168\u3066\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u3064\u3044\u3066t\u691c\u5b9a\u3092\u884c\u3063\u3066\u3057\u307e\u3046\u3068\uff0c\u691c\u5b9a\u306e\u591a\u91cd\u6027\u306e\u554f\u984c\u304c\u751f\u3058\u307e\u3059\uff0e\u305d\u308c\u305e\u308c\u306e\u691c\u5b9a\u306b\u304a\u3044\u3066\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u304d\u308b\u78ba\u7387\u306f5%\u3067\u3082\uff0c\u3069\u3053\u304b\u4e00\u3064\u306e\u7d44\u307f\u5408\u308f\u305b\u3067\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u304d\u308b\u78ba\u7387\u306f\uff0c\u4e0b\u5f0f\u306e\u3088\u3046\u306b\u306a\u308b\u304b\u3089\u3067\u3059\uff0e<\/p>\n\n\n\n

\n

\u3069\u3053\u304b\u4e00\u3064\u306e\u7d44\u307f\u5408\u308f\u305b\u3067\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u304d\u308b\u78ba\u7387 = 1 – ( 1 – 0.05 )3<\/sup> = 0.143<\/p>\n<\/blockquote>\n\n\n\n

\u3068\u306a\u308a\uff0c\u4e00\u9023\u306e\u691c\u5b9a\u5168\u4f53\u3067\u306e\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u304d\u308b\u78ba\u7387\u304c14%\u306b\u5897\u52a0\u3057\u3066\u3057\u307e\u3044\u307e\u3059\uff0e\u305d\u308c\u305e\u308c\u306e\u691c\u5b9a\u304c\u6b63\u3057\u3044\u78ba\u7387\u306f95%\u3067\uff0c\u3059\u3079\u3066\u306e\u691c\u5b9a\u304c\u6b63\u3057\u3044\u78ba\u7387\u306f95%\u306e3\u4e57\uff0c\u305d\u308c\u30921\u304b\u3089\u5f15\u3044\u305f\u5024\u304c\uff0c3\u56de\u306e\u691c\u5b9a\u306e\u3069\u3053\u304b\u3067\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u304d\u308b\u78ba\u7387\u3067\u3059\uff0e\u3053\u306e\u4e00\u9023\u306e\u691c\u5b9a\u3067\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u304c\u8d77\u3053\u308b\u78ba\u7387\u3092Familywise Error Rate\uff08FWER\uff09\u3068\u3044\u3044\uff0c\u5371\u967a\u57df\u30925%\u3068\u5b9a\u3081\u305f\u306a\u3089\u3070\uff0cFWER\u30925%\u306b\u53ce\u3081\u308b\u3088\u3046\u306a\u7d71\u8a08\u624b\u6cd5\u3092\u7528\u3044\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\uff0e\u4e0a\u8ff0\u306e\u3088\u3046\u306a\u5834\u5408\u306b\u306f\uff0c\u591a\u91cd\u6bd4\u8f03\u6cd5\u3092\u7528\u3044\u3066\u5168\u4f53\u3067\u306eFWER\u3092\u7d71\u5236\u3057\u307e\u3059\uff0e<\/p>\n\n\n\n

\u8cea\u554f\u9805\u76ee\u9593\u306e\u691c\u5b9a\u306e\u591a\u91cd\u6027<\/h2>\n\n\n\n

\u3057\u304b\u3057\uff0c\u691c\u5b9a\u306e\u591a\u91cd\u6027\u306e\u554f\u984c\u304c\u751f\u3058\u308b\u306e\u306f\uff0c\u5b9f\u306f\u524d\u8ff0\u306e\u3088\u3046\u306a\u30b1\u30fc\u30b9\u3060\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff0e\u8907\u6570\u306e\u5e30\u7121\u4eee\u8aac\u306b\u3064\u3044\u3066\u691c\u5b9a\u3092\u540c\u6642\u306b\u884c\u3046\u5834\u5408\u306b\u3082\u751f\u3058\u307e\u3059\uff0e<\/p>\n\n\n\n

\u4eee\u306b\u6709\u610f\u6c34\u6e96\u30920.5 \u3068\u3057\u3066\uff0c\u8907\u6570\u306e\u5e30\u7121\u4eee\u8aac\u3092\u4e00\u9023\u306e\u5b9f\u9a13\u904e\u7a0b\u3067\u540c\u6642\u306b\u691c\u5b9a\u3059\u308b\u5834\u5408\uff0c\u305d\u308c\u305e\u308c\u306e\u5e30\u7121\u4eee\u8aac\u304c\u8aa4\u3063\u3066\u68c4\u5374\u3055\u308c\u308b\u78ba\u7387\u306f5%\u3067\u3059\u304c\uff0cm\u500b\u306e\u5e30\u7121\u4eee\u8aac\u306e\u4e00\u3064\u3067\u3082\u8aa4\u3063\u3066\u68c4\u5374\u3055\u308c\u308b\u78ba\u7387\u306f\uff0c<\/p>\n\n\n\n

\n

1 – ( 1 – \u03b1 )m<\/sup><\/p>\n<\/blockquote>\n\n\n\n

\u306b\u306a\u308a\u307e\u3059\uff0e\u3053\u3053\u3067\u6ce8\u610f\u3059\u3079\u304d\u306f\uff0c\u7fa4\u306e\u6570\u304c\u554f\u984c\u306a\u306e\u3067\u306f\u306a\u304f\uff0c\u5e30\u7121\u4eee\u8aac\u306e\u6570\u304c\u554f\u984c\u3060\u3068\u3044\u3046\u3053\u3068\u3067\u3059\uff0e\u591a\u7fa4\u306b\u5bfe\u3057\u3066\u540c\u6642\u306b\u691c\u5b9a\u3092\u884c\u3046\u3068\u3044\u3046\u3053\u3068\u306f\uff0c\u540c\u6642\u306b\u591a\u6570\u306e\u5e30\u7121\u4eee\u8aac\u3092\u540c\u6642\u306b\u68c4\u5374\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\uff0e<\/p>\n\n\n\n

\u4f8b\u3048\u3070\uff0c\u4e0b\u8a18\u3067\u8b70\u8ad6\u3055\u308c\u3066\u3044\u308b\u3088\u3046\u306a\u30b1\u30fc\u30b9\u3067\u3059\uff0e
\u591a\u9805\u76ee\u3092\u691c\u5b9a\u3059\u308b\u5834\u5408\u306e\u591a\u91cd\u6027\u306b\u3064\u3044\u3066\uff08\u7fa4\u99ac\u5927\u5b66\u9752\u6728\u5148\u751f\u306e\u300c\u7d71\u8a08\u5b66\u95a2\u9023\u306a\u3093\u3067\u3082\u3042\u308a\u300d\u63b2\u793a\u677f\uff09<\/a><\/p>\n\n\n\n

\u3067\u306f\uff0c\u8cea\u554f\u7d19\u306e\u5834\u5408\u306b\u3064\u3044\u3066\u8003\u3048\u3066\u307f\u307e\u3059\uff0e\u8cea\u554f\u9805\u76ee\u3054\u3068\u306b\u691c\u5b9a\u3092\u7e70\u308a\u8fd4\u3059\u3053\u3068\u306f\uff0c\u300c\u8907\u6570\u306e\u5e30\u7121\u4eee\u8aac\u306b\u3064\u3044\u3066\u691c\u5b9a\u3092\u540c\u6642\u306b\u884c\u3046\u5834\u5408\u300d\u306b\u306f\u8a72\u5f53\u3057\u306a\u3044\u306e\u3067\u3057\u3087\u3046\u304b\uff1f<\/p>\n\n\n\n

\u4f8b\u3048\u3070\uff0c\u4e00\u7fa4\u304c10\u9805\u76ee\u304b\u3089\u306a\u308b\u8cea\u554f\u7d19\u306b\uff0c\u5b9f\u9a13\u7fa4A\u3068\u7d71\u5236\u7fa4B\u306e2\u7fa4\u304c\u56de\u7b54\u3059\u308b\u5834\u5408\u3092\u8003\u3048\u307e\u3059\uff0e\u4e00\u898b\uff0c10\u9805\u76ee\u305d\u308c\u305e\u308c\u306e\u9805\u76ee\u306b\u3064\u3044\u3066\u691c\u5b9a\u3092\u3057\u3066\u3082\uff08\u3053\u306e\u30b1\u30fc\u30b9\u3060\u3068\uff0cA-B\u306e\u30da\u30a2\u306710\u56de\u691c\u5b9a\u3092\u3059\u308b\uff09\u591a\u91cd\u6027\u306f\u751f\u3058\u306a\u3044\u3088\u3046\u306b\u601d\u3048\u307e\u3059\uff0e<\/p>\n\n\n\n

\u3057\u304b\u3057\uff0c\u4f8b\u3048\u3070\uff0c\u305d\u308c\u305e\u308c\u30925\uff05\u306e\u5371\u967a\u7387\u3067\u691c\u5b9a\u3057\u3066\u3044\u308b\u5834\u5408\uff0c10\u56de\u306e\u691c\u5b9a\u3092\u901a\u3057\u3066\uff0c\u3069\u308c\u304b\u4e00\u3064\u3067\u3082\u7b2c\u4e00\u7a2e\u306e\u904e\u8aa4\u3092\u751f\u3058\u3066\u3044\u308b\u78ba\u7387FWER\u306f\uff0c<\/p>\n\n\n\n

\n

FWER = 1 – (1 – 0.05)10<\/sup> = 0.40<\/p>\n<\/blockquote>\n\n\n\n

\u3068\u306a\u308a\u307e\u3059\uff0e\u3053\u3053\u3067\u306f\uff0c10\u56de\u306e\u4e00\u9023\u306e\u691c\u5b9a\u3092\uff0c\u3064\u307e\u308a\u4e00\u9023\u306e\u8cea\u554f\u7d19\u306e\u9805\u76ee\u5168\u4f53\u3092Family\u3068\u6349\u3048\u3066\u3044\u307e\u3059\uff0e<\/p>\n\n\n\n

Family\u3092\u3069\u3046\u6349\u3048\u308b\u304b\u306b\u3064\u3044\u3066\u306f\uff0c\u8b70\u8ad6\u306e\u4f59\u5730\u304c\u3042\u308b\u3088\u3046\u3067\uff0c\u4eca\u56de\u306e\u4f8b\u3067\u3044\u3048\u3070\uff0c\u300c2\u7fa4\u9593\u3067\u5dee\u304c\u3042\u308b\u300d\u3068\u3044\u3046\u4e00\u9023\u306e\u904e\u7a0b\u3092\u4e00\u3064\u306eFamily\u3068\u6349\u3048\uff0c\u305d\u306e\u4e2d\u306710\u56de\u306e\u691c\u5b9a\u3092\u3057\u3066\u3044\u308b\u3068\u8003\u3048\u3066\u3044\u307e\u3059\u304c\uff0c\u3053\u308c\u306f\u4e0d\u81ea\u7136\u306a\u3053\u3068\u3067\u306f\u3042\u308a\u307e\u305b\u3093\uff0eFamily\u306b\u3064\u3044\u3066\u306e\u8003\u3048\u65b9\u306f\uff0cShaffer(1995)\u304c\u53c2\u8003\u306b\u306a\u308a\u307e\u3059\uff0e<\/p>\n\n\n\n

Shaffer JP. Multiple Hypothesis Testing<\/a>. Annual Review of Psychology. 1995;46(1):561-584.<\/p>\n\n\n\n

\u3053\u306e\u554f\u984c\u3092\u76f4\u611f\u7684\u306b\u6349\u3048\u308b\u306a\u3089\uff0c\u6975\u7aef\u306a\u4f8b\u3092\u8003\u3048\u3066\u307f\u308b\u3068\u826f\u3044\u3068\u601d\u3044\u307e\u3059\uff0e\u540c\u3058\u6709\u610f\u6c34\u6e96\u3092\u7528\u3044\uff0c\u540c\u3058\u88ab\u9a13\u8005\u3092\u76f8\u624b\u306b\u8cea\u554f\u7d19\u8abf\u67fb\u3092\u3057\u305f\u3068\u3057\u307e\u3059\uff0e<\/p>\n\n\n\n