{"id":285,"date":"2022-07-15T21:33:21","date_gmt":"2022-07-15T12:33:21","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/interaction-additive-multiplicative-synergism-antagonism\/"},"modified":"2024-09-23T15:51:45","modified_gmt":"2024-09-23T06:51:45","slug":"interaction-additive-multiplicative-synergism-antagonism","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/interaction-additive-multiplicative-synergism-antagonism\/","title":{"rendered":"\u4ea4\u4e92\u4f5c\u7528\u306f\u6587\u8108\u306b\u3088\u3063\u3066\u610f\u5473\u304c\u7570\u306a\u308b\u306e\u3067\u610f\u5473\u5408\u3044\u3092\u78ba\u8a8d\u3057\u305f\u307b\u3046\u304c\u826f\u3044"},"content":{"rendered":"\n<p>\u3069\u3046\u3084\u3089\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u8a00\u3063\u305f\u3068\u304d\u306b\u3001\u4f55\u3092\u6307\u3059\u304b\u306f\u3001\u4eba\u305d\u308c\u305e\u308c\u306e\u3088\u3046\u3060\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u8a00\u8449\u306e\u5e30\u7d0d\u7684\u89e3\u91c8\">\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u8a00\u8449\u306e\u5e30\u7d0d\u7684\u89e3\u91c8<\/h2>\n\n\n\n<p>\u30a6\u30a7\u30d6\u30b5\u30a4\u30c8\u3092\u6f01\u3063\u3066\u307f\u3066\u3001\u4ee5\u4e0b\u306e\u66ab\u5b9a\u7684\u306a\u7d50\u8ad6\u306b\u305f\u3069\u308a\u7740\u3044\u305f\u3002<\/p>\n\n\n\n<p>\u5927\u304d\u304f\u308f\u3051\u308c\u3070\u3001\u4ea4\u4e92\u4f5c\u7528\u306f\uff12\u3064\u306e\u610f\u5473\u3067\u4f7f\u308f\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u52b9\u679c\u4fee\u98fe\u306e\u610f\u5473\u3067\u4f7f\u3063\u3066\u3044\u308b\u300c\u4ea4\u4e92\u4f5c\u7528\u300d<\/li>\n\n\n\n<li>\uff12\u3064\u306e\u8981\u56e0\u304c\u3068\u3082\u306b\u4f5c\u7528\u3057\u3066\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u306b\u52b9\u679c\u3092\u53ca\u307c\u3059\u300c\u4ea4\u4e92\u4f5c\u7528\u300d<\/li>\n<\/ol>\n\n\n\n<p>\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u3053\u306e\uff12\u3064\u304c\u3044\u3064\u3067\u3082\u30af\u30ea\u30a2\u306b\u5206\u304b\u308c\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u300c\u52b9\u679c\u4fee\u98fe\u306e\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u300c\u3068\u3082\u306b\u4f5c\u7528\u3057\u3066\u3044\u308b\u4ea4\u4e92\u4f5c\u7528\u300d\u304c\u304f\u3063\u304d\u308a\u308f\u304b\u308c\u3066\u3044\u308b\u6587\u8108\u3082\u3042\u308c\u3070\u3001\u3069\u3061\u3089\u3068\u3082\u3044\u3048\u306a\u3044\u6587\u8108\u3082\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u3069\u3061\u3089\u306e\u4ea4\u4e92\u4f5c\u7528\u306e\u5834\u5408\u3082\u3001\u9023\u7d9a\u30c7\u30fc\u30bf\u3060\u3063\u305f\u308a\u3001\u5272\u5408\uff08\u30ea\u30b9\u30af\uff09\u3060\u3063\u305f\u308a\u3001\u30ea\u30b9\u30af\u6bd4\u3001\u30aa\u30c3\u30ba\u6bd4\u3001\u30cf\u30b6\u30fc\u30c9\u6bd4\u306a\u3069\u306e\u76f8\u5bfe\u30ea\u30b9\u30af\u3060\u3063\u305f\u308a\u3001\u3069\u3061\u3089\u306e\u5834\u5408\u304c\u3069\u306e\u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u3068\u3082\u8a00\u3048\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u89e3\u6790\u89e3\u6790\u306b\u306f\u3001\u7d71\u8a08\u30e2\u30c7\u30eb\u3092\u4f7f\u3063\u305f\u308a\u4f7f\u308f\u306a\u304b\u3063\u305f\u308a\u3057\u3066\u3044\u3066\u3001\u4f7f\u3046\u5834\u5408\u304c\u3069\u3061\u3089\u306e\u4ea4\u4e92\u4f5c\u7528\u3067\u3001\u4f7f\u308f\u306a\u3044\u5834\u5408\u304c\u3069\u3061\u3089\u306e\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u8a00\u3044\u65b9\u3082\u3067\u304d\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u306b\u3001\u69d8\u3005\u306a\u8a18\u8ff0\u3092\u306a\u308b\u3079\u304f\u6709\u6a5f\u7684\u306a\u3064\u306a\u304c\u308a\u3092\u6301\u3063\u3066\u4e26\u3079\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u52b9\u679c\u4fee\u98fe-effect-modification-\u306e\u7cfb\u7d71\">\u52b9\u679c\u4fee\u98fe effect modification \u306e\u7cfb\u7d71<\/h2>\n\n\n\n<p><strong>\u75ab\u5b66\u7814\u7a76\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u5bfe\u8c61\u3068\u306a\u308b\u30e1\u30a4\u30f3\u306e\u66dd\u9732\u8981\u56e0\u306e\u56e0\u679c\u52b9\u679c\u304c\u7b2c\uff12\u306e\u8981\u56e0\u306e\u30ec\u30d9\u30eb\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3002\u2192\u3064\u307e\u308a\u3001\u7b2c\uff12\u306e\u8981\u56e0\u306b\u57fa\u3065\u304f\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u9593\u3067\u306e\u3001\u30e1\u30a4\u30f3\u306e\u66dd\u9732\u8981\u56e0\u306e\u56e0\u679c\u52b9\u679c\u306e\u5909\u52d5\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u3044\u308b\u3002\uff0b\u3053\u306e\u7b2c\uff12\u306e\u8981\u56e0\uff08\u3059\u306a\u308f\u3061\u3001\u52b9\u679c\u4fee\u98fe\u8981\u56e0 effect modifier\uff09\u81ea\u4f53\u304c\u30a2\u30a6\u30c8\u30ab\u30e0\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u304b\u3069\u3046\u304b\u306f\u95a2\u4fc2\u304c\u306a\u3044\u3002\uff1d\u76ee\u7684\u3068\u3059\u308b\u66dd\u9732\u8981\u56e0\u306e\u52b9\u679c\u304c\u3001\u7570\u306a\u308b\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u9593\u3067\u7570\u8cea\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u8a55\u4fa1\u3059\u308b\u3053\u3068\u304c\u76ee\u7684\u3067\u3042\u308b\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf\">http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf<\/a><\/p>\n\n\n\n<p>PDF 4\u679a\u76ee<\/p>\n\n\n\n<p><strong>\u533b\u7642\u7d71\u8a08\u5206\u91ce\u3067\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u533b\u7642\u7d71\u8a08\u3067\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u3044\u3046\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u3053\u3068\u3092\u6307\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u307b\u3068\u3093\u3069\u3067\u3059\u3002<br>\u300c\u30a2\u30a6\u30c8\u30ab\u30e0\u306e\u7fa4\u9593\u5dee\uff08\u30aa\u30c3\u30ba\u6bd4\u3084\u30cf\u30b6\u30fc\u30c9\u6bd4\uff09\u304c\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u9593\u3067\u7570\u306a\u308b\u304b\u3001\u3068\u3044\u3046\u3053\u3068\u300d<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/best-biostatistics.com\/design\/interaction.html\">\u4ea4\u4e92\u4f5c\u7528\u3068\u306f\uff1f\u4ea4\u7d61\u30d0\u30a4\u30a2\u30b9\u3068\u306e\u9055\u3044\u3084\u30b0\u30e9\u30d5\u3068P\u5024\u306e\u793a\u3057\u65b9\u3082\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac | \u3044\u3061\u3070\u3093\u3084\u3055\u3057\u3044\u3001\u533b\u7642\u7d71\u8a08<\/a><\/p>\n\n\n\n<p><strong>\u751f\u5b58\u6642\u9593\u89e3\u6790\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u3064\u307e\u308a\u7570\u8cea\u6027\u306e\u691c\u5b9a\u306f2\u7fa4\u306e\u7d2f\u7a4d\u751f\u5b58\u7387\u66f2\u7dda\u306e\u975e\u5e73\u884c\u6027\u306e\u691c\u5b9a\u3067\u3042\u308a\u3001\u7fa4\u3068\u751f\u5b58\u6642\u9593\u306e\u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat11\/stat1102.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat11\/stat1102.html<\/a><\/p>\n\n\n\n<p><strong>\u533b\u85ac\u54c1\u306e\u52b9\u679c\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u7aef\u7684\u306b\u8a00\u3048\u3070\u3001\u201d\u4eba\u306b\u3088\u3063\u3066\u52b9\u679c\u304c\u9055\u3046\u201d\u3068\u3044\u3046\u73fe\u8c61\u3092\u898b\u308b\u7d71\u8a08\u5b66\u306e\u8003\u3048\u65b9\u3060\u3068\u601d\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\u300c\u85acA\u304c\u75c5\u6c17D\u306e\u30ea\u30b9\u30af\u3092\uff11\uff10\u30d1\u30fc\u30bb\u30f3\u30c8\u4e0b\u3052\u308b\u300d\u3068\u3044\u3063\u305f\u3068\u304d\u3001\u5b9f\u306f\u305d\u306e\u85ac\u306f\u5973\u6027\u3067\u306f\u52b9\u679c\u304c\u3081\u3061\u3083\u304f\u3061\u3083\u3042\u308b\u304c\u7537\u6027\u306b\u306f\u307b\u3068\u3093\u3069\u52b9\u304b\u306a\u3044\u3001\u306a\u3093\u3066\u3053\u3068\u304c\u3042\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002\u4ea4\u4e92\u4f5c\u7528\u306e\u8003\u3048\u65b9\u3092\u4f7f\u3048\u3070\u3001\u3053\u306e\u3088\u3046\u306b\u4ecb\u5165\u306e\u52b9\u679c\u304c\u4e00\u69d8\u3067\u306a\u3044\u73fe\u8c61\u306e\u5b58\u5728\u3092\u8abf\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/www.krsk-phs.com\/entry\/interaction\">\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u306f\u306a\u306b\u304b\uff1a\u4ecb\u5165\u52b9\u679c\u304c\u4e00\u69d8\u3067\u306a\u3044\u3068\u304d\u306e\u7d71\u8a08\u624b\u6cd5\uff5e\u305d\u306e\u76ee\u7684\u3068\u5206\u985e\u3001\u89e3\u91c8\uff5e &#8211; Unboundedly<\/a><\/p>\n\n\n\n<p><strong>\u5c64\u5225\u5316\u5f8c\u306e\u7d71\u5408\u53ef\u80fd\u6027\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>x\u3068\u6027\u306e\u9593\u306b\u4ea4\u4e92\u4f5c\u7528(effect modification)\u304c\u3042\u308b\u3068\u3044\u3044\u3001\u7537\u5973\u3092\u30d7\u30fc\u30eb\u3067\u304d\u306a\u3044\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat01\/stat0109.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat01\/stat0109.html<\/a><\/p>\n\n\n\n<p><strong>\u7d1a\u5185\u76f8\u95a2\u4fc2\u6570\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u8981\u56e0A\u3068\u8981\u56e0B\u306e\u4ea4\u4e92\u4f5c\u7528\u304c\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u306f\u3001\u88ab\u691c\u8005\u3054\u3068\u306eb\u56de\u306e\u6e2c\u5b9a\u5024\u306e\u5909\u52d5\u30d1\u30bf\u30fc\u30f3\u304c\u5168\u3066\u540c\u3058\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat05\/stat0504.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat05\/stat0504.html<\/a><\/p>\n\n\n\n<div id=\"biost-3492458092\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u5b9f\u9a13\u8a08\u753b\u6cd5\u4e3b\u306b\u5206\u6563\u5206\u6790-\u306e\u7cfb\u7d71\">\u5b9f\u9a13\u8a08\u753b\u6cd5\uff08\u4e3b\u306b\u5206\u6563\u5206\u6790\uff09 \u306e\u7cfb\u7d71<\/h2>\n\n\n\n<p>\u3053\u306e\u7cfb\u7d71\u306f\u3001\u300c\u52b9\u679c\u4fee\u98fe\u300d\u3068\u300c\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u300d\u306e\u3069\u3061\u3089\u3082\u542b\u3093\u3067\u3044\u308b\u3068\u601d\u3046\u304c\u3001\u300c\u52b9\u679c\u4fee\u98fe\u300d\u306e\u6587\u8108\u304c\u591a\u3044\u3002<\/p>\n\n\n\n<p>\u7d71\u8a08\u30e2\u30c7\u30eb\u3092\u7528\u3044\u305f\u9023\u7d9a\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u3067\u4ea4\u4e92\u4f5c\u7528\u3092\u6271\u3046\u3068\u3001\u300c\u52b9\u679c\u4fee\u98fe\u300d\u3068\u300c\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u300d\u306e\u3069\u3061\u3089\u3082\u542b\u3093\u3067\u3044\u308b\u3068\u8003\u3048\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<p><strong>\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u901a\u5e38\u306e\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3067\u306f\u4e00\u65b9\u306e\u8981\u56e0\u2014\u2014\u3053\u306e\u5834\u5408\u306f\u500b\u4eba\u5dee\u2014\u2014\u306f\u52b9\u679c\u3092\u5206\u6790\u3059\u308b\u306e\u304c\u76ee\u7684\u3067\u306f\u306a\u304f\u8aa4\u5dee\u3092\u6e1b\u3089\u3059\u306e\u304c\u76ee\u7684\u3067\u3042\u308a\u3001\u30d6\u30ed\u30c3\u30af\u56e0\u5b50\u3068\u547c\u3070\u308c\u307e\u3059\u3002 \u3067\u306f\u8aa4\u5dee\u306b\u76f8\u5f53\u3059\u308b\u8981\u56e0\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\uff1f \u305d\u308c\u306f\u6642\u671f\u306b\u3088\u308b\u8840\u5727\u306e\u5909\u52d5\u30d1\u30bf\u30fc\u30f3\u304c\u88ab\u9a13\u8005\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u3068\u3044\u3046\u8981\u56e0\u3067\u3059\u3002 \u5e73\u3063\u305f\u304f\u3044\u3048\u3070\u8840\u5727\u306e\u4e0b\u304c\u308a\u5177\u5408\u304c\u500b\u4eba\u306b\u3088\u3063\u3066\u7570\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3001\u3064\u307e\u308a\u8840\u5727\u306e\u4e0b\u304c\u308a\u5177\u5408\u306e\u500b\u4eba\u5dee\u304c\u8aa4\u5dee\u306b\u306a\u308b\u306e\u3067\u3059\u3002 \u3053\u308c\u3092\u500b\u4eba(\u8981\u56e0A)\u3068\u6642\u671f(\u8981\u56e0B)\u306e\u4ea4\u4e92\u4f5c\u7528(effect modification)\u3068\u3044\u3044\u3001\u8981\u56e0A\u00d7B\u3068\u8868\u8a18\u3057\u307e\u3059\u3002 \u3053\u308c\u304c\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u306b\u304a\u3051\u308b\u6b8b\u5dee\u306b\u306a\u308a\u307e\u3059\u3002 \u3053\u306e\u4ea4\u4e92\u4f5c\u7528\u306b\u5bfe\u3057\u3066\u8981\u56e0A\u3068\u8981\u56e0B\u306b\u3088\u308b\u5909\u52d5\u306e\u3053\u3068\u3092\u4e3b\u52b9\u679c\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0401_2.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0401_2.html<\/a><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u3053\u306e\u3088\u3046\u306b\u7e70\u308a\u8fd4\u3057\u306e\u3042\u308b\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3067\u306f\u8981\u56e0A\u306e\u691c\u5b9a\u3068\u8981\u56e0B\u306e\u691c\u5b9a\u3001\u305d\u3057\u3066\u8981\u56e0A\u3068B\u306e\u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u3053\u306e\u5834\u5408\u306e\u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u306f\u3001\u52b9\u679c\u306b\u95a2\u3057\u3066\u85ac\u7269\u3068\u98df\u990c\u306e\u9593\u306b\u76f8\u4e57\u52b9\u679c\u307e\u305f\u306f\u76f8\u6bba\u52b9\u679c\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3067\u3059\u3002 \u4f8b\u3048\u3070\u56f34.3.2\u3067\u6a2a\u8ef8\u3092\u98df\u990c\u306e\u6709\u7121\u3068\u3057\u3001\u7e26\u8ef8\u3092\u52b9\u679c\u3068\u3059\u308b\u3068\u3001\u85ac\u7269\u7121\u2212\u98df\u990c\u6709\u7121\u306e\u30b0\u30e9\u30d5\u3068\u85ac\u7269\u6709\u2212\u98df\u990c\u6709\u7121\u306e\u30b0\u30e9\u30d5\u304c\u5e73\u884c\u304b\u3069\u3046\u304b\u3092\u691c\u8a0e\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u52b9\u679c\u306b\u95a2\u3059\u308b\u85ac\u7269\u3068\u98df\u990c\u306e\u95a2\u4fc2\u304c\u76f8\u4e57\u52b9\u679c(\u6b63\u306e\u4ea4\u4e92\u4f5c\u7528)\u3001\u76f8\u52a0\u52b9\u679c(\u4ea4\u4e92\u4f5c\u7528\u7121)\u3001\u76f8\u6bba\u52b9\u679c(\u8ca0\u306e\u4ea4\u4e92\u4f5c\u7528)\u306e\u3069\u308c\u3067\u3042\u308b\u304b\u3092\u5224\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0403.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0403.html<\/a><\/p>\n\n\n\n<p><strong>\u5171\u5206\u6563\u5206\u6790\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u305f\u3060\u3001\u3053\u3053\u3067\u554f\u984c\u306b\u306a\u308b\u306e\u306f2\u7fa4\u306e\u56de\u5e30\u76f4\u7dda\u306e\u5e73\u884c\u6027\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002 \u3053\u306e\u4f8b\u306e\u3088\u3046\u306b2\u7fa4\u306e\u56de\u5e30\u76f4\u7dda\u304c\u307b\u307c\u5e73\u884c\u306e\u6642\u306f\u826f\u3044\u3082\u306e\u306e\u3001\u56de\u5e30\u76f4\u7dda\u304c\u5e73\u884c\u3067\u306f\u306a\u304f\u3001\u30af\u30ed\u30b9\u3057\u305f\u308a\u3059\u308b\u3068\u3061\u3087\u3063\u3068\u9762\u5012\u306a\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002 \u306a\u305c\u306a\u30892\u7fa4\u306e\u56de\u5e30\u76f4\u7dda\u304c\u5e73\u884c\u3067\u306f\u306a\u3044\u6642\u306f\u3001\u6295\u4e0e\u524d\u5024\u3092\u7d71\u4e00\u3059\u308b\u969b\u3001\u7d71\u4e00\u3059\u308b\u5024\u306b\u3088\u3063\u30662\u7fa4\u306e\u5909\u5316\u91cf\u306e\u5927\u5c0f\u95a2\u4fc2\u304c\u5909\u308f\u3063\u3066\u3057\u307e\u3044\u3001\u3069\u3061\u3089\u306e\u7fa4\u304c\u3088\u308a\u4f4e\u4e0b\u3057\u305f\u304b\u5224\u65ad\u3067\u304d\u306a\u304f\u306a\u3063\u3066\u3057\u307e\u3046\u304b\u3089\u3067\u3059\u3002 \u3053\u306e\u3088\u3046\u306b\u7fa4\u306b\u3088\u3063\u3066\u6295\u4e0e\u524d\u5024\u306e\u5f71\u97ff\u304c\u7570\u306a\u308b\u6642\u306f\u300c\u6295\u4e0e\u524d\u5024\u3068\u7fa4\u306e\u9593\u306b\u4ea4\u4e92\u4f5c\u7528(effect modification)\u304c\u3042\u308b\u300d\u3068\u3044\u3044\u307e\u3059<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat08\/stat0801.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat08\/stat0801.html<\/a><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u6559\u79d1\u66f8\u7684\u306b\u8a00\u3046\u3068\u3001\u4ea4\u4e92\u4f5c\u7528\u3068\u306f\u3001\u300c\u3042\u308b\u8981\u56e0\u306e\u52b9\u679c\u306f\u4e00\u5b9a\u3067\u306f\u306a\u304f\u3001\u4ed6\u306e\u8981\u56e0\u306e\u6c34\u6e96\u306b\u3088\u3063\u3066\u7570\u306a\u3063\u3066\u3044\u308b\u300d\u3088\u3046\u306a\u72b6\u6cc1\u3092\u6307\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/mstour.hatenablog.com\/entry\/2021\/01\/13\/205744\">\u7dda\u5f62\u30e2\u30c7\u30eb\u306b\u304a\u3051\u308b\u4ea4\u4e92\u4f5c\u7528 &#8211; \u7d71\u8a08\u5b66\u5165\u9580\u4e00\u6b69\u5148\u3078<\/a><\/p>\n\n\n\n<p><strong>\u91cf\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\u3068\u8cea\u7684\u306a\u4ea4\u4e92\u4f5c\u7528<\/strong><\/p>\n\n\n\n<p>\u91cf\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\u3068\u8cea\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\u3082\u300c\u52b9\u679c\u4fee\u98fe\u300d\u306e\u7bc4\u56f2\u3068\u601d\u308f\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u30ea\u30f3\u30af\u5148\u306e\u30b9\u30e9\u30a4\u30c939\u679a\u76ee\u300140\u679a\u76ee\u306e\u56f3\u304c\u3068\u3066\u3082\u5206\u304b\u308a\u3084\u3059\u3044\u3002<\/p>\n\n\n\n<p><a href=\"http:\/\/nfunao.web.fc2.com\/files\/R-intro\/R-stat-intro_09.pdf\">http:\/\/nfunao.web.fc2.com\/files\/R-intro\/R-stat-intro_09.pdf<\/a><\/p>\n\n\n\n<p><strong>Qualitative Interaction\uff08\u8cea\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\uff09\u3082\u3057\u304f\u306f crossover interaction<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u4ea4\u4e92\u4f5c\u7528\u306b\u3088\u308b\u4ecb\u5165\u30fb\u66dd\u9732\u56e0\u5b50\u306e\u52b9\u679c\u306e\u9055\u3044\u306f\u3001\u85ac\u304c\u52b9\u304d\u3084\u3059\u3044\u30fb\u52b9\u304d\u3084\u3059\u304f\u306a\u3044\u3068\u3044\u3063\u305f\u52b9\u679c\u306e\u5f37\u5f31\u3060\u3051\u306b\u9650\u308a\u307e\u305b\u3093\u3002\u52b9\u679c\u306e\u65b9\u5411\u304c\u5909\u308f\u308b\u53ef\u80fd\u6027\u3060\u3063\u3066\u3042\u308a\u307e\u3059\u3002\u3061\u306a\u307f\u306b\u75ab\u5b66\u3067\u306f\u3001\u3053\u306e\u3088\u3046\u306b\u52b9\u679c\u306e\u5411\u304d\u3092\u5909\u3048\u3066\u3057\u307e\u3046\u4ea4\u4e92\u4f5c\u7528\u306e\u3053\u3068\u3092\u8cea\u7684\u4ea4\u4e92\u4f5c\u7528(Qualitative interaction)\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/www.krsk-phs.com\/entry\/interaction\">\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u306f\u306a\u306b\u304b\uff1a\u4ecb\u5165\u52b9\u679c\u304c\u4e00\u69d8\u3067\u306a\u3044\u3068\u304d\u306e\u7d71\u8a08\u624b\u6cd5\uff5e\u305d\u306e\u76ee\u7684\u3068\u5206\u985e\u3001\u89e3\u91c8\uff5e &#8211; Unboundedly<\/a><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>In some cases, we might think that an exposure has a positive effect for one subgroup and a negative effect for a different subgroup. Such instances are sometimes referred as \u201cqualitative interactions\u201d or \u201ccrossover interactions\u201d<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 17\u679a\u76ee\uff08p.49)<\/p>\n\n\n\n<p><strong>Quantitative Interaction \uff08\u91cf\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\uff09\u3082\u3057\u304f\u306f non-crossover interaction<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>The term \u201cquantitative interaction\u201d is sometimes used exclusively for interactions which are not qualitative interactions (Peto,1982). However, others use the term \u201cquantitative interaction\u201d to describe a statistical interaction on any scale, and prefer using \u201cnon-crossover interaction\u201d for the presence of interaction which is not a \u201cqualitative interaction\u201d (Gail and Simon, 1985).<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 17\u679a\u76ee\uff08p.49)<\/p>\n\n\n\n<p>\u5206\u6563\u5206\u6790\u7b49\u306b\u5bfe\u3057\u3066\u7dda\u5f62\u56de\u5e30\u306e\u7d71\u8a08\u30e2\u30c7\u30eb\u3092\u7528\u3044\u305f\u5834\u5408\u306e\u4ea4\u4e92\u4f5c\u7528\u306f\u5f8c\u8ff0\u3059\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u4ea4\u4e92\u4f5c\u7528-\u306e\u7cfb\u7d71\">\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u4ea4\u4e92\u4f5c\u7528 \u306e\u7cfb\u7d71<\/h2>\n\n\n\n<p><strong>\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u4ea4\u4e92\u4f5c\u7528\u306e\u6982\u5ff5<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\uff12\u3064\u306e\u30e1\u30a4\u30f3\u306e\u66dd\u9732\u8981\u56e0\u304c\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u7279\u5b9a\u306e\u30a2\u30a6\u30c8\u30ab\u30e0\u306b\u5bfe\u3059\u308b\u56e0\u679c\u52b9\u679c\u304c\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u306e\u304b\u306b\u6ce8\u76ee\u3057\u3066\u3044\u308b\u3002\u2192\u3064\u307e\u308a\u3001\u30e1\u30a4\u30f3\u306e\u66dd\u9732\u8981\u56e0\u306e\u56e0\u679c\u52b9\u679c\u306b\u52a0\u3048\u3066\u3001\u7b2c\u4e8c\u306e\u66dd\u9732\u8981\u56e0\u3082\u30a2\u30a6\u30c8\u30ab\u30e0\u306b\u5bfe\u3057\u3066\u56e0\u679c\u52b9\u679c\u3092\u6301\u3064\u3001\u3068\u4eee\u5b9a\u3057\u3066\u3044\u308b\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf\">http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf<\/a><\/p>\n\n\n\n<p>PDF \uff19\u679a\u76ee<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u4ea4\u4e92\u4f5c\u7528\u306f2\u3064\u306e\u56e0\u5b50\u304c\u7d44\u307f\u5408\u308f\u3055\u308b\u3053\u3068\u3067\u521d\u3081\u3066\u73fe\u308c\u308b\u76f8\u4e57\u52b9\u679c\u306e\u3053\u3068\u3067\u3059\u3002\u300c\u80a5\u6599\u306e\u91cf\u00d7\u571f\u306e\u7a2e\u985e\u300d\u306e\u5834\u5408\u3001\u80a5\u6599\u306e\u91cf\u3068\u571f\u306e\u7a2e\u985e\u304c\u76f8\u4e92\u306b\u5f71\u97ff\u3092\u53ca\u307c\u3057\u5408\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/bellcurve.jp\/statistics\/course\/10090.html\">30-5. \u4ea4\u4e92\u4f5c\u7528\u3068\u306f | \u7d71\u8a08\u5b66\u306e\u6642\u9593 | \u7d71\u8a08WEB<\/a><\/p>\n\n\n\n<p><strong>\u75ab\u5b66\u7814\u7a76\u306e\u6587\u8108<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u95a2\u9023\u306e\u6307\u6a19\u3078\u306e\u5f71\u97ff\u306f\u3001\u52a0\u6cd5\u7684\u306a\u5f71\u97ff\uff08\u30ea\u30b9\u30af\u5dee\u306b\u5bfe\u3059\u308b\u5909\u5316\uff09\u3068\u4e57\u6cd5\u7684\u306a\u5f71\u97ff\uff08\u30ea\u30b9\u30af\u6bd4\u3084\u30aa\u30c3\u30ba\u6bd4\u306b\u5bfe\u3059\u308b\u5909\u5316\uff09\u306e\u5927\u304d\u304f 2 \u3064\u306b\u5206\u985e\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u30e2\u30c7\u30eb\u3068\u3057\u3066\u7dda\u5f62\u30e2\u30c7\u30eb\u3092\u9078\u3079\u3070\u52a0\u6cd5\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\u306e\u6709\u7121\u3092\u3001\u5bfe\u6570\u7dda\u5f62\u30e2\u30c7\u30eb\u3001\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u30e2\u30c7\u30eb\u3092\u9078\u3079\u3070\u4e57\u6cd5\u7684\u306a\u4ea4\u4e92\u4f5c\u7528\u306e\u6709\u7121\u3092\u691c\u8a0e\u3067\u304d\u308b\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/www.env.go.jp\/chemi\/ceh\/about\/advanced\/material\/guidance20170804.pdf\">https:\/\/www.env.go.jp\/chemi\/ceh\/about\/advanced\/material\/guidance20170804.pdf<\/a><\/p>\n\n\n\n<p>PDF 8\u30da\u30fc\u30b8\u76ee<\/p>\n\n\n\n<p><strong>\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528 additive interaction<\/strong><\/p>\n\n\n\n<p>\uff12\u3064\u306e\u56e0\u5b50\u306b\u3088\u308b\u305d\u308c\u305e\u308c\u306e\u30ea\u30b9\u30af\u3092\u8db3\u3057\u305f\u5024\u3068\u3001\uff12\u3064\u306e\u56e0\u5b50\u304c\u3068\u3082\u306b\u66dd\u9732\u3057\u305f\u3068\u304d\u306e\u30ea\u30b9\u30af\u306e\u5024\u306e\u5dee\u304c\u6b63\u306e\u6642\u306f\u3001\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u304cpositive\u3082\u3057\u304f\u306fsuper-additive\u3001\u8ca0\u306e\u6642\u306fnegative \u3082\u3057\u304f\u306f sub-additive\u3001\u3068\u8a00\u3046\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"433\" height=\"155\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/07\/20220710172040.png\" alt=\"\" class=\"wp-image-1790\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/07\/20220710172040.png 433w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/07\/20220710172040-300x107.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u4e0a\u8a18\u306e\u8868\uff08Table1\uff09\u306f\u3001\u55ab\u7159\u3068\u30a2\u30b9\u30d9\u30b9\u30c8\u306e\u80ba\u304c\u3093\u306b\u5bfe\u3059\u308b\u30ea\u30b9\u30af\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u975e\u55ab\u7159\u3067\u30a2\u30b9\u30d9\u30b9\u30c8\u66dd\u9732\u3082\u306a\u3044\u4eba\u306e\u30ea\u30b9\u30af\u304c0.0011<\/li>\n\n\n\n<li>\u55ab\u7159\u3060\u3051\u306f0.0095<\/li>\n\n\n\n<li>\u30a2\u30b9\u30d9\u30b9\u30c8\u3060\u3051\u306f0.0067<\/li>\n\n\n\n<li>\u55ab\u7159\u3068\u30a2\u30b9\u30d9\u30b9\u30c8\u306e\u4e21\u65b9\u306e\u5834\u5408\u306f0.0450<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u306e\u6642\u4e21\u65b9\u306e\u5834\u5408\u306e\u30ea\u30b9\u30af\u304c\u3001\u305d\u308c\u305e\u308c\u306e\u30ea\u30b9\u30af\u306e\u548c\u3088\u308a\u3082\u5927\u304d\u3051\u308c\u3070\u3001super-additive\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u8a08\u7b97\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u306e\u4f8b\u306f\u3001<\/p>\n\n\n\n<p>(0.0450-0.0011) &#8211; (0.0095-0.0011) &#8211; (0.0067-0.0011) = 0.0299<\/p>\n\n\n\n<p>\u3068\u306a\u3063\u3066\u3001super-additive\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5f15\u7528\u30fb\u7ffb\u8a33\u53ca\u3073\u89e3\u91c8\u306e\u5143\u306f\u4ee5\u4e0b\u306e\u30ea\u30f3\u30af\u5148\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 3\u679a\u76ee\uff08p.35\uff09<\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u3001\u4e0a\u8a18\u306e\u8a08\u7b97\u7d50\u679c\u304c\u30bc\u30ed\u306e\u3068\u304d\u306b\u3001\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306f\u306a\u3044 no additive interaction \u3068\u8868\u73fe\u3059\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>No additive interaction<\/li>\n\n\n\n<li>Positive additive interaction = Super-additive interaction<\/li>\n\n\n\n<li>Negative additive interaction = Sub-additive interaction<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u3046\u3044\u3046\u5bfe\u5fdc\u95a2\u4fc2\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p><strong>\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528 multiplicative interaction<\/strong><\/p>\n\n\n\n<p>\u5148\u307b\u3069\u306e\u30c7\u30fc\u30bf\uff08Table1\uff09\u3067\u3001\u5dee\u3067\u306f\u306a\u304f\u6bd4\u3092\u4f7f\u3046\u3068\u3001\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306e\u30c1\u30a7\u30c3\u30af\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u30aa\u30c3\u30ba\u6bd4\u3084\u30ea\u30b9\u30af\u6bd4\u3092\u7528\u3044\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u55ab\u7159\u3068\u30a2\u30b9\u30d9\u30b9\u30c8\u306e\u4e21\u65b9\u306e\u30ea\u30b9\u30af\u3068\u4e21\u65b9\u306a\u3057\u306e\u30ea\u30b9\u30af\u306e\u6bd4\u3092\u3001\u55ab\u7159\u6709\u308a\u7121\u3057\u306e\u30ea\u30b9\u30af\u6bd4\u53ca\u3073\u30a2\u30b9\u30d9\u30b9\u30c8\u6709\u308a\u7121\u3057\u306e\u30ea\u30b9\u30af\u6bd4\u306e\u4e21\u65b9\u3067\u5272\u308b\u3002<\/p>\n\n\n\n<p>\u5b9f\u969b\u306e\u8a08\u7b97\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3059\u308b\u3002<\/p>\n\n\n\n<p>$$ \\frac{\\frac{0.0450}{0.0011}}{\\frac{0.0095}{0.0011}\\frac{0.0067}{0.0011}} = 0.7776905 $$ <\/p>\n\n\n\n\n\n\n\n<p>1\u3092\u8d85\u3048\u3066\u3044\u308b\u5834\u5408\u306f\u3001\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u304cpositive\u30011\u672a\u6e80\u306e\u5834\u5408\u306f\u3001\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u304cnegative\u3068\u5224\u65ad\u3059\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 4\u679a\u76ee\uff08p.36\uff09<\/p>\n\n\n\n<p>1\u306e\u3068\u304d\u306b\u3001\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u304c\u306a\u3044 no multiplicative interaction \u3068\u8868\u73fe\u3059\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>If the ratio is 1, then the effect of both exposures together is equal to the product<br>of the effect of the two exposures considered separately, that is, there is no interaction on the multiplicative scale for risk ratios.<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 4\u679a\u76ee\uff08p.36\uff09<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>No multiplicative interaction<\/li>\n\n\n\n<li>Positive multiplicative interaction = Super-multiplicative interaction<\/li>\n\n\n\n<li>Negative multiplicative interaction = Sub-multiplicative interaction<\/li>\n<\/ul>\n\n\n\n<p>\u7528\u8a9e\u306e\u5bfe\u5fdc\u306f\u3053\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p><strong>\u30aa\u30c3\u30ba\u6bd4\u306e\u52a0\u6cd5\u7684\u30fb\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"484\" height=\"194\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/07\/20220710204134.png\" alt=\"\" class=\"wp-image-1791\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/07\/20220710204134.png 484w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/07\/20220710204134-300x120.png 300w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u4e0a\u8a18Table4\u306b\u3064\u3044\u3066\u3001\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n<p>$$ (2.09 &#8211; 1) &#8211; (1.12 &#8211; 1) &#8211; (1.21 &#8211; 1) = 0.76 > 0 $$<\/p>\n\n\n\n\n\n\n\n<p>\u30bc\u30ed\u3088\u308a\u3082\u5927\u304d\u3044\u304b\u3089\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306fpositive\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3059\u308b\u3002<\/p>\n\n\n\n<p>$$ \\frac{2.09}{1.12 \\times 1.21} = 1.54 > 1 $$<\/p>\n\n\n\n\n\n\n\n<p>1\u3088\u308a\u3082\u5927\u304d\u3044\u306e\u3067\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u3082positive\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 9\u679a\u76ee\uff08p.41\uff09<\/p>\n\n\n\n<p><strong>Synergism\uff08\u76f8\u4e57\u52b9\u679c\uff09\u3068Antagonism\uff08\u62ee\u6297\u52b9\u679c\uff09\u3001\u76f8\u52a0\u52b9\u679c<\/strong><\/p>\n\n\n\n<p>Positive additive interaction\u306f\u3001synergism\u3068\u3082\u8a00\u3046\u3002<\/p>\n\n\n\n<p>Negative additive interaction\u306f\u3001antagonism\u3068\u3082\u8a00\u3046\u3002<\/p>\n\n\n\n<p><a href=\"http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf\">http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf<\/a><\/p>\n\n\n\n<p>PDF 10\u679a\u76ee<\/p>\n\n\n\n<p>Positive multiplicative interaction\u3082\u3001synergism\u3068\u8a00\u3046\u3002<\/p>\n\n\n\n<p>Negative multiplicative interaction\u3082\u3001antagonism\u3068\u8a00\u3046\u3002<\/p>\n\n\n\n<p><a href=\"http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf\">http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf<\/a><\/p>\n\n\n\n<p>PDF 13\u679a\u76ee<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u76f8\u4e57\u52b9\u679c\u3084\u62ee\u6297\u52b9\u679c\u3092\u5358\u306b\u4ea4\u4e92\u4f5c\u7528\u3068\u79f0\u3059\u308b\u3053\u3068\u3082\u3042\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>2\u3064\u306e\u56e0\u5b50\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u3088\u3063\u3066\u751f\u3058\u308b\u76f8\u4e57\u52b9\u679c\uff08\u62ee\u6297\u52b9\u679c\uff09<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/best-biostatistics.com\/design\/interaction.html\">\u4ea4\u4e92\u4f5c\u7528\u3068\u306f\uff1f\u4ea4\u7d61\u30d0\u30a4\u30a2\u30b9\u3068\u306e\u9055\u3044\u3084\u30b0\u30e9\u30d5\u3068P\u5024\u306e\u793a\u3057\u65b9\u3082\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac | \u3044\u3061\u3070\u3093\u3084\u3055\u3057\u3044\u3001\u533b\u7642\u7d71\u8a08<\/a><\/p>\n\n\n\n<p>\u4ee5\u4e0b\u3001\u518d\u63b2\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u4ea4\u4e92\u4f5c\u7528\u306f2\u3064\u306e\u56e0\u5b50\u304c\u7d44\u307f\u5408\u308f\u3055\u308b\u3053\u3068\u3067\u521d\u3081\u3066\u73fe\u308c\u308b\u76f8\u4e57\u52b9\u679c\u306e\u3053\u3068\u3067\u3059\u3002\u300c\u80a5\u6599\u306e\u91cf\u00d7\u571f\u306e\u7a2e\u985e\u300d\u306e\u5834\u5408\u3001\u80a5\u6599\u306e\u91cf\u3068\u571f\u306e\u7a2e\u985e\u304c\u76f8\u4e92\u306b\u5f71\u97ff\u3092\u53ca\u307c\u3057\u5408\u3063\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/bellcurve.jp\/statistics\/course\/10090.html\">30-5. \u4ea4\u4e92\u4f5c\u7528\u3068\u306f | \u7d71\u8a08\u5b66\u306e\u6642\u9593 | \u7d71\u8a08WEB<\/a><\/p>\n\n\n\n<p>\u3053\u3061\u3089\u3082\u3001\u518d\u63b2\u3002<\/p>\n\n\n\n<p>\u62ee\u6297\u52b9\u679c\u306f\u3001\u76f8\u6bba\u52b9\u679c\u3068\u3082\u8a00\u3046\u3002<\/p>\n\n\n\n<p>\u4ea4\u4e92\u4f5c\u7528\u306a\u3057\u306e\u5834\u5408\u306f\u3001\u76f8\u52a0\u52b9\u679c\u3068\u8a00\u3046\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u6587\u8108\u306f\u9023\u7d9a\u30c7\u30fc\u30bf\u306e\u3053\u3068\u3067\u3042\u308b\u306e\u3067\u3001\u3053\u306e\u5834\u5408\u306e\u300c\u4ea4\u4e92\u4f5c\u7528\u306a\u3057\u300d\u306f\u3001\u300c\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306a\u3057\u300d\u3068\u601d\u308f\u308c\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u3053\u306e\u3088\u3046\u306b\u7e70\u308a\u8fd4\u3057\u306e\u3042\u308b\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3067\u306f\u8981\u56e0A\u306e\u691c\u5b9a\u3068\u8981\u56e0B\u306e\u691c\u5b9a\u3001\u305d\u3057\u3066\u8981\u56e0A\u3068B\u306e\u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u3053\u306e\u5834\u5408\u306e\u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u306f\u3001\u52b9\u679c\u306b\u95a2\u3057\u3066\u85ac\u7269\u3068\u98df\u990c\u306e\u9593\u306b\u76f8\u4e57\u52b9\u679c\u307e\u305f\u306f\u76f8\u6bba\u52b9\u679c\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u306e\u691c\u5b9a\u3067\u3059\u3002 \u4f8b\u3048\u3070\u56f34.3.2\u3067\u6a2a\u8ef8\u3092\u98df\u990c\u306e\u6709\u7121\u3068\u3057\u3001\u7e26\u8ef8\u3092\u52b9\u679c\u3068\u3059\u308b\u3068\u3001\u85ac\u7269\u7121\u2212\u98df\u990c\u6709\u7121\u306e\u30b0\u30e9\u30d5\u3068\u85ac\u7269\u6709\u2212\u98df\u990c\u6709\u7121\u306e\u30b0\u30e9\u30d5\u304c\u5e73\u884c\u304b\u3069\u3046\u304b\u3092\u691c\u8a0e\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u3001\u52b9\u679c\u306b\u95a2\u3059\u308b\u85ac\u7269\u3068\u98df\u990c\u306e\u95a2\u4fc2\u304c\u76f8\u4e57\u52b9\u679c(\u6b63\u306e\u4ea4\u4e92\u4f5c\u7528)\u3001\u76f8\u52a0\u52b9\u679c(\u4ea4\u4e92\u4f5c\u7528\u7121)\u3001\u76f8\u6bba\u52b9\u679c(\u8ca0\u306e\u4ea4\u4e92\u4f5c\u7528)\u306e\u3069\u308c\u3067\u3042\u308b\u304b\u3092\u5224\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0403.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0403.html<\/a><\/p>\n\n\n\n<p>\u533b\u85ac\u54c1\u306e\u52b9\u679c\u306e\u6587\u8108\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8a18\u8ff0\u3082\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5358\u306b\u8db3\u3057\u305f\u3060\u3051\u3067\u305d\u308c\u4ee5\u4e0a\u306e\u52b9\u679c\u304c\u306a\u3044\u5834\u5408\u3092\u300c\u76f8\u52a0\u300d\u3068\u547c\u3093\u3067\u3044\u308b\u306e\u3067\u3001\u3084\u306f\u308a\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u304c\u306a\u3044\u5834\u5408\u3092\u300c\u76f8\u52a0\u52b9\u679c\u300d\u3068\u547c\u3076\u3068\u7406\u89e3\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u85ac\u7269 A\uff08a \u7528\u91cf\uff09\uff0c\u85ac\u7269 B\uff08b \u7528\u91cf\uff09\uff0c\u85ac\u7269 A\uff08a \u7528\u91cf\uff09\u3068\u85ac\u7269B\uff08b \u7528\u91cf\uff09\u3068\u306e\u4f75\u7528\u3067\u306e\u53cd\u5fdc\u5024\u3092\u305d\u308c\u305e\u308c Ea\uff0cEb\uff0cEa\uff0bb \u3068\u3059\u308b\u3068\uff0c\uff08\u4e2d\u7565\uff09Ea\uff0bb \uff1d Ea\uff0bEb\uff0b\u03b1\u3068\u3057\u305f\u5834\u5408\uff0c\u03b1\u304c\u4ea4\u4e92\u4f5c\u7528\u9805\u3067\u3042\u308b\uff0e\u3064\u307e\u308a\u5404\u85ac\u7269\u306e\u53cd\u5fdc\u5024\u306e\u548c\u4ee5\u5916\u306e\u6210\u5206\u3092\u4ea4\u4e92\u4f5c\u7528\u9805\u3068\u8a2d\u5b9a\u3057\u3066\uff0c\u7d71\u8a08\u7684\u306b\u8a55\u4fa1\u3059\u308b\u624b\u6cd5\u3067\u3042\u308b\uff0e\u4ea4\u4e92\u4f5c\u7528\u9805\u304c\u691c\u5b9a\u3067\u6709\u610f\u3068\u306a\u308b\uff0e\u3059\u306a\u308f\u3061\uff0c0 \u3067\u306a\u3044\u3068\u5224\u65ad\u3055\u308c\u308c\u3070\uff0c\u76f8\u52a0\u3092\u8d85\u3048\u308b\u52b9\u679c\u304c\u3042\u308b\u3068\u8003\u3048\u308b\uff0e\u03b1\u304c\u30d7\u30e9\u30b9\u3067\u3042\u308c\u3070\u76f8\u4e57\u52b9\u679c\u3068\u306a\u308a\uff0c\u30de\u30a4\u30ca\u30b9\u3067\u3042\u308c\u3070\u62ee\u6297\u52b9\u679c\u3068\u306a\u308b\uff0e\u3053\u306e\u89e3\u6790\u624b\u6cd5\u306f\u5b9f\u9a13\u8a08\u753b\u6cd5\u306e\u5206\u91ce\u3067\u3088\u304f\u898b\u304b\u3051\u308b\u624b\u6cd5\u3067\u3042\u308a\uff0c\u4e00\u898b\u5408\u7406\u7684\u3067\u3042\u308b\u304c\uff0c\u85ac\u52b9\u3092\u8a55\u4fa1\u3059\u308b\u5834\u5408\u306b\u306f\u6ce8\u610f\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\uff0e<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/www.jstage.jst.go.jp\/article\/fpj\/134\/5\/134_5_265\/_pdf\">https:\/\/www.jstage.jst.go.jp\/article\/fpj\/134\/5\/134_5_265\/_pdf<\/a><\/p>\n\n\n\n<p><strong>Sufficient cause interaction<\/strong><\/p>\n\n\n\n<p>\uff12\u3064\u306e\u8981\u56e0\u305d\u308c\u305e\u308c\u3067\u306f\u751f\u3058\u306a\u3044\u304c\u3001\uff12\u3064\u306e\u8981\u56e0\u304c\u91cd\u306a\u308b\u3068\u751f\u3058\u308b\u5834\u5408\u3092\u6307\u3059\u3002<\/p>\n\n\n\n<p>Mechanistic interaction\u3067\u3082\u3042\u308b\u3002<\/p>\n\n\n\n<p>\uff12\u3064\u306e\u8981\u56e0\u304c\u3068\u3082\u306b\u66dd\u9732\u3057\u305f\u5834\u5408\u306bON\u306b\u306a\u308a\u3001\u4e00\u3064\u305a\u3064\u3067\u306fOFF\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u4e00\u3064\u305a\u3064\u306e\u8981\u56e0\u3067\u306f\u8d77\u304d\u306a\u304b\u3063\u305f\u3053\u3068\u304c\u3001\uff12\u3064\u306e\u8981\u56e0\u3067\u751f\u3058\u308b\u3068\u3044\u3046\u5834\u5408\u3001Synergism \u76f8\u4e57\u52b9\u679c\u3068\u3082\u3044\u3048\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 19\u679a\u76ee\uff08p.51\uff09<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u7d71\u8a08\u30e2\u30c7\u30eb\u3067\u691c\u8a0e\u3059\u308b\u4ea4\u4e92\u4f5c\u7528\">\u7d71\u8a08\u30e2\u30c7\u30eb\u3067\u691c\u8a0e\u3059\u308b\u4ea4\u4e92\u4f5c\u7528<\/h2>\n\n\n\n<p>\u7d71\u8a08\u30e2\u30c7\u30eb\u3067\u306e\u691c\u8a0e\u306f\u3001\u300c\u52b9\u679c\u4fee\u98fe\u300d\u3068\u300c\u3068\u3082\u306b\u4f5c\u7528\u300d\u306e\u3069\u3061\u3089\u306b\u3082\u3001\u3068\u3089\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u305d\u308c\u306f\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u89e3\u6790\u3092\u76ee\u7684\u3068\u3057\u305f\u300c\u52b9\u679c\u4fee\u98fe\u300d\u3092\u5ff5\u982d\u306b\u7f6e\u3044\u305f\u5206\u6790\u3082\u3067\u304d\u308b\u3057\u3001\u300c\u3068\u3082\u306b\u4f5c\u7528\u300d\u3057\u3066\u52b9\u679c\u304c\u5909\u308f\u308b\u4ea4\u4e92\u4f5c\u7528\u3068\u8003\u3048\u305f\u5206\u6790\u3082\u3067\u304d\u308b\u304b\u3089\u3060\u3002<\/p>\n\n\n\n<p><strong>2\u3064\u306e\u8981\u56e0\u3068\u7d71\u8a08\u7684\u4ea4\u4e92\u4f5c\u7528\u9805 statistical interaction term \u306e\u5834\u5408<\/strong><\/p>\n\n\n\n<p>\u76ee\u7684\u5909\u6570\u304c\u30ea\u30b9\u30af\uff08P\uff09\u3067\u305d\u306e\u307e\u307e\u7121\u7406\u3084\u308a\u7dda\u5f62\u30e2\u30c7\u30eb\u3092\u7d44\u3080\u3068\u3059\u308b\u3068\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>$$ P = \\alpha_0 + \\alpha_1 X_1 + \\alpha_2 X_2 + \\alpha_3 X_1 X_2 $$<\/p>\n\n\n\n\n\n\n\n<p>\u3053\u306e\u6642 $ \\alpha_0 $ \u304c\u3069\u3061\u3089\u3082\u66dd\u9732\u306a\u3057\u306e\u30ea\u30b9\u30af\u3001$ \\alpha_1 $ \u304c\u8981\u56e0\uff11\u306e\u30ea\u30b9\u30af\u3068\u66dd\u9732\u306a\u3057\u306e\u30ea\u30b9\u30af\u5dee\u3001 $ \\alpha_2 $ \u304c\u8981\u56e0\uff12\u306e\u30ea\u30b9\u30af\u3068\u66dd\u9732\u306a\u3057\u306e\u30ea\u30b9\u30af\u5dee\u3001$ \\alpha_3 $ \u304c\u52a0\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e $ \\alpha_3 $ \u3092\u7d71\u8a08\u7684\u4ea4\u4e92\u4f5c\u7528\uff08statistical interaction\uff09\u3068\u3082\u8a00\u3046\u3002<\/p>\n\n\n\n<p>\u5bfe\u6570\u7dda\u5f62\u30e2\u30c7\u30eb\u306e\u5834\u5408\u3060\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>$$ \\log{P} = \\beta_0 + \\beta_1 X_1 + \\beta_2 X_2 + \\beta_3 X_1 X_2 $$<\/p>\n\n\n\n\n\n\n\n<p>\u3053\u306e\u6642 $ e^{\\beta_1} $ \u304c\u8981\u56e0\uff11\u306e\u30ea\u30b9\u30af\u6bd4\u3001$ e^{\\beta_2} $ \u304c\u8981\u56e0\uff12\u306e\u30ea\u30b9\u30af\u6bd4\u3001$ e^{\\beta_3} $ \u304c\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e $ \\beta_3 $ \u304c\u5bfe\u6570\u7dda\u5f62\u30e2\u30c7\u30eb\u306e\u7d71\u8a08\u7684\u4ea4\u4e92\u4f5c\u7528\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u30aa\u30c3\u30ba\u6bd4\u306e\u305f\u3081\u306e\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u5834\u5408\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>$$ \\log{\\frac{P}{1 &#8211; P}} = \\gamma_0 + \\gamma_1 X_1 + \\gamma_2 X_2 + \\gamma_3 X_1 X_2 $$<\/p>\n\n\n\n\n\n\n\n<p>\u3053\u306e\u6642 $ e^{\\gamma_1} $ \u304c\u8981\u56e0\u306e\u30aa\u30c3\u30ba\u6bd4\u3001$ e^{\\gamma_2} $ \u304c\u8981\u56e0\uff12\u306e\u30aa\u30c3\u30ba\u6bd4\u3001$ e^{\\gamma_3} $ \u304c\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e $ \\gamma_3 $ \u304c\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u7d71\u8a08\u7684\u4ea4\u4e92\u4f5c\u7528\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF \uff19\u679a\u76ee\uff08p.41\uff09<\/p>\n\n\n\n<p><strong>\u5171\u5909\u91cf\u3092\u8003\u616e\u3057\u305f\u5834\u5408<\/strong><\/p>\n\n\n\n<p>C\u3068\u3044\u3046\u8a18\u8f09\u3067\u4e00\u62ec\u3057\u3066\u5171\u5909\u91cf\u3092\u542b\u3081\u305f\u30e2\u30c7\u30eb\u5f0f\u3092\u4ee5\u4e0b\u306b\u63b2\u793a\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u5171\u5909\u91cf\u304c\u8db3\u3055\u308c\u3066\u3082\u3001\uff12\u3064\u306e\u8981\u56e0\u3068\u4ea4\u4e92\u4f5c\u7528\u9805\u306f\u305d\u306e\u307e\u307e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Often we may want to control for other covariates in models [6][8]. For example, we may want to fit<br>the following analogous models which include an additional vector of covariates, C:<\/p>\n<\/blockquote>\n\n\n\n<p>$$ P = \\alpha_0 + \\alpha_1 X_1 + \\alpha_2 X_2 + \\alpha_3 X_1 X_2 + \\alpha&#8217;_4 C $$<\/p>\n\n\n\n\n\n\n\n<p>$$ \\log{P} = \\beta_0 + \\beta_1 X_1 + \\beta_2 X_2 + \\beta_3 X_1 X_2 + \\beta&#8217;_4 C $$<\/p>\n\n\n\n\n\n\n\n<p>$$ \\log{\\frac{P}{1 &#8211; P}} = \\gamma_0 + \\gamma_1 X_1 + \\gamma_2 X_2 + \\gamma_3 X_1 X_2 + \\gamma&#8217;_4 C $$<\/p>\n\n\n\n\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF 10\u679a\u76ee\uff08p.42\uff09<\/p>\n\n\n\n<p><strong>\u9023\u7d9a\u30c7\u30fc\u30bf\u304c\u76ee\u7684\u5909\u6570\u306e\u5834\u5408<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>For additive interaction, a linear regression model for the continuous outcomes could be used<\/p>\n<\/blockquote>\n\n\n\n<p>$$ E = \\alpha_0 + \\alpha_1 X_1 + \\alpha_2 X_2 + \\alpha_3 X_1 X_2 + \\alpha&#8217;_4 C $$<\/p>\n\n\n\n\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>and \u03b13 can be taken as a measure of additive interaction. This parameter is equal to the additive interaction<br>measure:<\/p>\n<\/blockquote>\n\n\n\n<p>$$ \\alpha_3 = E_{11} &#8211; E_{10} &#8211; E_{01} + E_{00} $$<\/p>\n\n\n\n\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF28\u679a\u76ee\uff08p.60\uff09<\/p>\n\n\n\n<p>X\uff11\u3001X\uff12\u304c\u3068\u3082\u306b\u30ab\u30c6\u30b4\u30ea\u3067\u3042\u308c\u3070\u3001\u4e00\u822c\u7dda\u5f62\u30e2\u30c7\u30eb\u306b\u3088\u308b\u4e8c\u5143\u914d\u7f6e\u5206\u6563\u5206\u6790\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u3069\u3061\u3089\u304b\u4e00\u3064\u304c\u30ab\u30c6\u30b4\u30ea\u3067\u3042\u308c\u3070\u3001\u4ea4\u4e92\u4f5c\u7528\u9805\u3092\u6295\u5165\u3057\u305f\u5171\u5206\u6563\u5206\u6790\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u4e21\u65b9\u304c\u9023\u7d9a\u30c7\u30fc\u30bf\u3067\u3042\u308c\u3070\u3001\u3044\u308f\u3086\u308b\u91cd\u56de\u5e30\u5206\u6790\u3067\u4ea4\u4e92\u4f5c\u7528\u9805\u3042\u308a\u3001\u3068\u3044\u3046\u3053\u3068\u3060\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>For multiplicative interaction, a log-linear regression model for the continuous outcomes could be used<\/p>\n<\/blockquote>\n\n\n\n<p>$$ \\log{E} = \\beta_0 + \\beta_1 X_1 + \\beta_2 X_2 + \\beta_3 X_1 X_2 + \\beta&#8217;_4 C $$<\/p>\n\n\n\n\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>and \u03b23 can be taken as a measure of multiplicative interaction. This parameter, when exponentiated, is<br>equal to the multiplicative interaction measure:<\/p>\n<\/blockquote>\n\n\n\n<p>$$ \\beta_3 = \\frac{E_{11} \/ E_{10}}{E_{01} \/ E_{00}} $$ <\/p>\n\n\n\n\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p>PDF28\u679a\u76ee\uff08p.60\uff09<\/p>\n\n\n\n<p>\u3053\u3053\u3067E\u306f\u9023\u7d9a\u30c7\u30fc\u30bf\u306e\u671f\u5f85\u5024\u3068\u3044\u3046\u610f\u5473\u3067\u3001log(E)\u306f\u5bfe\u6570\u5909\u63db\u3057\u305f\u9023\u7d9a\u30c7\u30fc\u30bf\u306e\u671f\u5f85\u5024\u3068\u3044\u3046\u610f\u5473\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5206\u5e03\u5f62\u3092\u5909\u66f4\u3059\u308b\u305f\u3081\u306b\u5bfe\u6570\u5909\u63db\u3059\u308b\u3053\u3068\u306f\u3042\u308b\u304c\u3001\u4ea4\u4e92\u4f5c\u7528\u306e\u305f\u3081\u306b\u5bfe\u6570\u5909\u63db\u3092\u8003\u3048\u305f\u3053\u3068\u306f\u306a\u304f\u3001\u3042\u307e\u308a\u30a4\u30e1\u30fc\u30b8\u304c\u6cb8\u304b\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u3061\u306a\u307f\u306b\u3001\u6dfb\u3048\u5b57\u306e\u610f\u5473\u306f\u3001\uff11\uff11\u304c\uff12\u3064\u306e\u8981\u56e0\u304c\u3068\u3082\u306b\u3042\u308a\u3001\uff11\uff10\u306f\u8981\u56e0\uff11\u306e\u307f\u3042\u308a\u3001\uff10\uff11\u306f\u8981\u56e0\uff12\u306e\u307f\u3042\u308a\u3001\uff10\uff10\u306f\uff12\u3064\u306e\u8981\u56e0\u3068\u3082\u306b\u306a\u3057\u306e\u610f\u5473\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ea4\u4e92\u4f5c\u7528\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u306e\u5224\u65ad\">\u4ea4\u4e92\u4f5c\u7528\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u306e\u5224\u65ad<\/h2>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u203b \u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u306e\u691c\u51fa\u529b\u306f\u4f4e\u3044\u306e\u3067\u691c\u5b9a\u7d50\u679c\u3060\u3051\u3067\u306f\u5224\u65ad\u3067\u304d\u306a\u3044\u304c\u30fb\u30fb\u30fb\uff0c\u3082\u3057\u691c\u5b9a\u7d50\u679c\u304c\u6709\u610f\u3067\u3042\u308c\u3070\u300c\u4ea4\u4e92\u4f5c\u7528\u306f\u3042\u308a\u305d\u3046\u300d\u3068\u5224\u65ad \u21d2 \u4ea4\u4e92\u4f5c\u7528\u306e\u691c\u5b9a\u306e\u7d50\u679c\u306e\u307f\u3067\u5224\u65ad\u3057\u306a\u3044\u65b9\u304c\u826f\u3044<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/nfunao.web.fc2.com\/files\/R-intro\/R-stat-intro_09.pdf\">http:\/\/nfunao.web.fc2.com\/files\/R-intro\/R-stat-intro_09.pdf<\/a><\/p>\n\n\n\n<p>\u30b9\u30e9\u30a4\u30c945\u679a\u76ee<\/p>\n\n\n\n<p>\u691c\u5b9a\u3060\u3051\u3067\u306f\u306a\u304f\u3001\u30b0\u30e9\u30d5\u306e\u56f3\u793a\u3084\u63a8\u5b9a\u5024\u81ea\u4f53\u3092\u898b\u3066\u3001\u541f\u5473\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u8a00\u8449\u3092\u76ee\u306b\u3057\u305f\u6642\u306e\u6ce8\u610f\u70b9\">\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u8a00\u8449\u3092\u76ee\u306b\u3057\u305f\u6642\u306e\u6ce8\u610f\u70b9<\/h2>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u901a\u5e38\u3001\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u3068\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u5206\u6790\u306b\u304a\u3051\u308b\u4e57\u6cd5\u7684\u4ea4\u4e92\u4f5c\u7528\u306e\u3053\u3068\u3092\u6307\u3059\u3002\u4ea4\u4e92\u4f5c\u7528\uff08Interaction\uff09\u3068\u3044\u3046\u5358\u8a9e\u3092\u898b\u305f\u969b\u306f\u3001\u5fc5\u305a\u3069\u306e\u5b9a\u7fa9\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b\u306e\u304b\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf\">http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf<\/a><\/p>\n\n\n\n<p>PDF 29\u679a\u76ee<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u4ea4\u4e92\u4f5c\u7528\u3068\u76f8\u4e92\u4f5c\u7528\">\u4ea4\u4e92\u4f5c\u7528\u3068\u76f8\u4e92\u4f5c\u7528<\/h2>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u3053\u308c\u306f\u79c1\u306e\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u304c\u3001\u300c\u76f8\u4e92\u4f5c\u7528\u300d\u3068\u3044\u3046\u3068\u3001\u85ac\u306b\u5bfe\u3059\u308b\u4ea4\u4e92\u4f5c\u7528\u306b\u9650\u5b9a\u3057\u3066\u4f7f\u308f\u308c\u3066\u3044\u308b\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u3002\u4e00\u65b9\u306e\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u306f\u3001\u85ac\u306b\u9650\u3089\u305a\u3001\u3044\u308d\u3093\u306a\u7814\u7a76\u5206\u91ce\u3067\u4f7f\u308f\u308c\u308b\u30a4\u30e1\u30fc\u30b8\u3067\u3059\u306d\u3002<\/p>\n<\/blockquote>\n\n\n\n<p><a href=\"https:\/\/best-biostatistics.com\/design\/interaction.html\">\u4ea4\u4e92\u4f5c\u7528\u3068\u306f\uff1f\u4ea4\u7d61\u30d0\u30a4\u30a2\u30b9\u3068\u306e\u9055\u3044\u3084\u30b0\u30e9\u30d5\u3068P\u5024\u306e\u793a\u3057\u65b9\u3082\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac | \u3044\u3061\u3070\u3093\u3084\u3055\u3057\u3044\u3001\u533b\u7642\u7d71\u8a08<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u4ea4\u4e92\u4f5c\u7528\u3068\u3044\u3046\u8a00\u8449\u306b\u3064\u3044\u3066\u30a6\u30a7\u30d6\u4e0a\u3092\u4e2d\u5fc3\u306b\u3069\u306e\u3088\u3046\u306b\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u304b\u8abf\u3079\u3066\u4e26\u3079\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<p>\u300c\u52b9\u679c\u4fee\u98fe\u306e\u610f\u5473\u3067\u306e\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u300c\u3068\u3082\u306b\u4f5c\u7528\u3059\u308b\u3068\u3044\u3046\u610f\u5473\u3067\u306e\u4ea4\u4e92\u4f5c\u7528\u300d\u306e\u4e8c\u3064\u306b\u5927\u5225\u3067\u304d\u305d\u3046\u3060\u304c\u3001\u30af\u30ea\u30a2\u306b\u5206\u304b\u308c\u308b\u3082\u306e\u3067\u3082\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u306f\u300c\u4ea4\u4e92\u4f5c\u7528\uff08Interaction\uff09\u3068\u3044\u3046\u5358\u8a9e\u3092\u898b\u305f\u969b\u306f\u3001\u5fc5\u305a\u3069\u306e\u5b9a\u7fa9\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b\u306e\u304b\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3002\u300d\u3068\u3044\u3046\u306e\u304c\u4e00\u756a\u5927\u4e8b\u3060\u3002<\/p>\n\n\n\n<p>\u9006\u306b\u4f1d\u3048\u308b\u5074\u306b\u306a\u3063\u305f\u5834\u5408\u306f\u3001\u300c\u3053\u3053\u3067\u8a00\u3046\u4ea4\u4e92\u4f5c\u7528\u306f\u3053\u3046\u3044\u3046\u3082\u306e\u3060\u300d\u3068\u5ba3\u8a00\u3057\u3066\u304b\u3089\u4f1d\u3048\u308b\u3068\u3088\u308a\u4f1d\u308f\u308b\u3068\u601d\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u30a6\u30a7\u30d6\u30b5\u30a4\u30c8\">\u53c2\u8003\u30a6\u30a7\u30d6\u30b5\u30a4\u30c8<\/h2>\n\n\n\n<p>\u4ea4\u4e92\u4f5c\u7528 INTERACTION<\/p>\n\n\n\n<p><a href=\"http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf\">http:\/\/www.asahikawa-med.ac.jp\/dept\/mc\/healthy\/HP2\/21_Interaction.pdf<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/best-biostatistics.com\/design\/interaction.html\">\u4ea4\u4e92\u4f5c\u7528\u3068\u306f\uff1f\u4ea4\u7d61\u30d0\u30a4\u30a2\u30b9\u3068\u306e\u9055\u3044\u3084\u30b0\u30e9\u30d5\u3068P\u5024\u306e\u793a\u3057\u65b9\u3082\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac | \u3044\u3061\u3070\u3093\u3084\u3055\u3057\u3044\u3001\u533b\u7642\u7d71\u8a08<\/a><\/p>\n\n\n\n<p>\u7d71\u8a08\u5b66\u5165\u9580\u3000<span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><img decoding=\"async\" src=\"https:\/\/cdn-ak.f.st-hatena.com\/images\/fotolife\/t\/toukeier\/20220715\/20220715212508.png\" width=\"128\" height=\"32\" loading=\"lazy\" title=\"\" class=\"hatena-fotolife\" itemprop=\"image\"><\/span><\/p>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat11\/stat1102.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat11\/stat1102.html<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat01\/stat0109.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat01\/stat0109.html<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0401_2.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0401_2.html<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0403.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat04\/stat0403.html<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat08\/stat0801.html\">http:\/\/www.snap-tck.com\/room04\/c01\/stat\/stat08\/stat0801.html<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.krsk-phs.com\/entry\/interaction\">\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u306f\u306a\u306b\u304b\uff1a\u4ecb\u5165\u52b9\u679c\u304c\u4e00\u69d8\u3067\u306a\u3044\u3068\u304d\u306e\u7d71\u8a08\u624b\u6cd5\uff5e\u305d\u306e\u76ee\u7684\u3068\u5206\u985e\u3001\u89e3\u91c8\uff5e &#8211; Unboundedly<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/mstour.hatenablog.com\/entry\/2021\/01\/13\/205744\">\u7dda\u5f62\u30e2\u30c7\u30eb\u306b\u304a\u3051\u308b\u4ea4\u4e92\u4f5c\u7528 &#8211; \u7d71\u8a08\u5b66\u5165\u9580\u4e00\u6b69\u5148\u3078<\/a><\/p>\n\n\n\n<p>R\u3067\u7d71\u8a08\u89e3\u6790\u5165\u9580\uff08\uff19\uff09\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u56de\u5e30\u5206\u6790<\/p>\n\n\n\n<p><a href=\"http:\/\/nfunao.web.fc2.com\/files\/R-intro\/R-stat-intro_09.pdf\">http:\/\/nfunao.web.fc2.com\/files\/R-intro\/R-stat-intro_09.pdf<\/a><\/p>\n\n\n\n<p>A Tutorial on Interaction<\/p>\n\n\n\n<p><a href=\"https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf\">https:\/\/cdn1.sph.harvard.edu\/wp-content\/uploads\/sites\/603\/2018\/04\/InteractionTutorial_EM.pdf<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/bellcurve.jp\/statistics\/course\/10090.html\">30-5. \u4ea4\u4e92\u4f5c\u7528\u3068\u306f | \u7d71\u8a08\u5b66\u306e\u6642\u9593 | \u7d71\u8a08WEB<\/a><\/p>\n\n\n\n<p>\u30a8\u30b3\u30c1\u30eb\u8abf\u67fb\u306b\u304a\u3051\u308b\u7d50\u679c\u306e\u53d6\u308a\u307e\u3068\u3081\u306b\u95a2\u3059\u308b\u30ac\u30a4\u30c0\u30f3\u30b9<\/p>\n\n\n\n<p><a href=\"https:\/\/www.env.go.jp\/chemi\/ceh\/about\/advanced\/material\/guidance20170804.pdf\">https:\/\/www.env.go.jp\/chemi\/ceh\/about\/advanced\/material\/guidance20170804.pdf<\/a><\/p>\n\n\n\n<p>\u85ac\u7269\u4f75\u7528\u52b9\u679c\u306e\u89e3\u6790<\/p>\n\n\n\n<p><a href=\"https:\/\/www.jstage.jst.go.jp\/article\/fpj\/134\/5\/134_5_265\/_pdf\">https:\/\/www.jstage.jst.go.jp\/article\/fpj\/134\/5\/134_5_265\/_pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3069\u3046\u3084\u3089\u300c\u4ea4\u4e92\u4f5c\u7528\u300d\u3068\u8a00\u3063\u305f\u3068\u304d\u306b\u3001\u4f55\u3092\u6307\u3059\u304b\u306f\u3001\u4eba\u305d\u308c\u305e\u308c\u306e\u3088\u3046\u3060\u3002<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[68,25],"tags":[],"class_list":["post-285","post","type-post","status-publish","format-standard","hentry","category-68","category-25"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/285","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=285"}],"version-history":[{"count":4,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/285\/revisions"}],"predecessor-version":[{"id":1797,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/285\/revisions\/1797"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=285"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=285"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=285"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}