{"id":527,"date":"2018-07-30T20:37:06","date_gmt":"2018-07-30T11:37:06","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-determine-sample-site-in-case-control-studies\/"},"modified":"2024-10-21T13:58:38","modified_gmt":"2024-10-21T04:58:38","slug":"how-to-determine-sample-site-in-case-control-studies","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-determine-sample-site-in-case-control-studies\/","title":{"rendered":"R \u3067\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30aa\u30c3\u30ba\u6bd4\u3092\u6c42\u3081\u308b\u305f\u3081\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306f\u3069\u3046\u3084\u308b\u306e\u304b\uff1f<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u524d\u63d0\">\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u524d\u63d0<\/h2>\n\n\n\n<p>\u4e00\u822c\u4eba\u306e\u5371\u967a\u56e0\u5b50\u306b\u3055\u3089\u3055\u308c\u3066\u3044\u308b\u5272\u5408\u3092f\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u60f3\u5b9a\u3055\u308c\u308b\u30aa\u30c3\u30ba\u6bd4\u3092R\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u524d\u63d0\u306f\u3053\u306e\u4e8c\u3064\u3060\u3051\u3060\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u4e8c\u3064\u306e\u6761\u4ef6\u3092\u5148\u884c\u7814\u7a76\u304b\u3089\u898b\u3064\u3051\u308b\u304b\u3001\u59a5\u5f53\u306a\u5024\u3092\u4f55\u3089\u304b\u306e\u6839\u62e0\u3092\u6301\u3063\u3066\u6c7a\u3081\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u30b9\u30af\u30ea\u30d7\u30c8\">\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u30b9\u30af\u30ea\u30d7\u30c8<\/h2>\n\n\n\n<p>R \u3067\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001\u4ee5\u4e0b\u306e\u30b9\u30af\u30ea\u30d7\u30c8\u3067\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>sample.size.case.control <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">function<\/span> <span class=\"synSpecial\">(<\/span>f<span class=\"synSpecial\">,<\/span> R<span class=\"synSpecial\">,<\/span> alpha<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.05<\/span><span class=\"synSpecial\">,<\/span> power<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">){<\/span>\np3 <span class=\"synStatement\">&lt;-<\/span> f<span class=\"synStatement\">*<\/span>R<span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">+<\/span>f<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span>R<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">))<\/span>\nq3 <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>p3\nu <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">1<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>f<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">+<\/span>R<span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">+<\/span>f<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span>R<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)))<\/span>\nn <span class=\"synStatement\">&lt;-<\/span> <span class=\"synSpecial\">(<\/span><span class=\"synIdentifier\">qnorm<\/span><span class=\"synSpecial\">(<\/span>alpha<span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> lower.tail<span class=\"synStatement\">=<\/span><span class=\"synConstant\">F<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span><span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>u<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>u<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">+<\/span><span class=\"synIdentifier\">qnorm<\/span><span class=\"synSpecial\">(<\/span>power<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span><span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(<\/span>f<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>f<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">+<\/span>p3<span class=\"synStatement\">*<\/span>q3<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>f<span class=\"synStatement\">-<\/span>p3<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span>\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Case Control Study Sample Size Calculation\"<\/span>\n<span class=\"synTodo\">NOTE<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"n is number in *each* group\"<\/span>\n<span class=\"synIdentifier\">structure<\/span><span class=\"synSpecial\">(<\/span><span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span>n<span class=\"synStatement\">=<\/span>n<span class=\"synSpecial\">,<\/span><span class=\"synConstant\">\"Prop exposed in gen pop\"<\/span><span class=\"synStatement\">=<\/span>f<span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">\"Assumed Odds Ratio\"<\/span><span class=\"synStatement\">=<\/span>R<span class=\"synSpecial\">,<\/span> sig.level<span class=\"synStatement\">=<\/span>alpha<span class=\"synSpecial\">,<\/span> power<span class=\"synStatement\">=<\/span>power<span class=\"synSpecial\">,<\/span> method<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">,<\/span> note<span class=\"synStatement\">=<\/span><span class=\"synTodo\">NOTE<\/span><span class=\"synSpecial\">),<\/span> class<span class=\"synStatement\">=<\/span><span class=\"synConstant\">\"power.htest\"<\/span><span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<\/code><\/pre>\n\n\n\n<div id=\"biost-480794815\" 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=\"\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u5b9f\u969b\">\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306e\u5b9f\u969b<\/h2>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u80ba\u304c\u3093\u3002<\/p>\n\n\n\n<p>\u55ab\u7159\u8005\u306f\u4e00\u822c\u4eba\u306e2\u5272\u3002<\/p>\n\n\n\n<p>\u55ab\u7159\u3057\u3066\u3044\u308b\u3068\u55ab\u7159\u3057\u3066\u3044\u306a\u3044\u4eba\u3068\u6bd4\u3079\u30aa\u30c3\u30ba\u6bd4\u306f 5<\/p>\n\n\n\n<p>\u80ba\u304c\u3093\u306e\u306a\u308a\u3084\u3059\u3055 1 \u306b\u6bd4\u3079\u3066 5 \u3068\u3044\u3046\u3053\u3068\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u7814\u7a76\u306f\u3059\u3067\u306b\u884c\u308f\u308c\u3066\u3044\u3066\u5341\u5206\u308f\u304b\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u5b9f\u65bd\u3055\u308c\u308b\u3053\u3068\u306f\u306a\u3044\u304c\u3001\u5b9f\u65bd\u3059\u308b\u3068\u3057\u305f\u3089\u80ba\u304c\u3093\u3001\u975e\u80ba\u304c\u3093\u3068\u3082\u306b28\u4eba\u306e\u7814\u7a76\u3067\u3044\u3044\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">sample.size.case.control<\/span><span class=\"synSpecial\">(<\/span>f<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.2<\/span><span class=\"synSpecial\">,<\/span> R<span class=\"synStatement\">=<\/span><span class=\"synConstant\">5<\/span><span class=\"synSpecial\">)<\/span>\nCase Control Study Sample Size Calculation\nn <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">27.97932<\/span>\nProp exposed <span class=\"synStatement\">in<\/span> gen pop <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.2<\/span>\nAssumed Odds Ratio <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">5<\/span>\nsig.level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\npower <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.8<\/span>\nNOTE<span class=\"synSpecial\">:<\/span> n is number <span class=\"synStatement\">in<\/span> <span class=\"synStatement\">*<\/span>each<span class=\"synStatement\">*<\/span> group\n<\/code><\/pre>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u7cd6\u8cea6\u5272\u3001\u30bf\u30f3\u30d1\u30af\u8cea2\u5272\u3001\u8102\u8cea2\u5272\u3068\u3044\u3046\u98df\u4e8b\u304c\u3001\u7cd6\u5c3f\u75c5\u3092\u5f15\u304d\u8d77\u3053\u3059\u3053\u3068\u3092\u8a3c\u660e\u3057\u305f\u3044\u3002<\/p>\n\n\n\n<p>\u4e00\u822c\u4eba\u306e8\u5272\u306f\u7cd6\u8cea6\u5272\u306e\u7cd6\u8cea\u904e\u591a\u306e\u98df\u4e8b\u3092\u3057\u3066\u3044\u308b\u3060\u308d\u3046\u3002<\/p>\n\n\n\n<p>\u7cd6\u5c3f\u75c5\u306b\u306a\u308b\u30aa\u30c3\u30ba\u6bd4\u304c3\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u7cd6\u5c3f\u75c5\u60a3\u8005\u3055\u3093\u3068\u7cd6\u5c3f\u75c5\u3067\u306a\u3044\u4eba\u3092\u305d\u308c\u305e\u308c123\u4eba\u96c6\u3081\u308c\u3070OK\u3068\u3044\u3046\u8a08\u7b97\u3060\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">sample.size.case.control<\/span><span class=\"synSpecial\">(<\/span>f<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.8<\/span><span class=\"synSpecial\">,<\/span> R<span class=\"synStatement\">=<\/span><span class=\"synConstant\">3<\/span><span class=\"synSpecial\">)<\/span>\nCase Control Study Sample Size Calculation\nn <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">122.4343<\/span>\nProp exposed <span class=\"synStatement\">in<\/span> gen pop <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.8<\/span>\nAssumed Odds Ratio <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">3<\/span>\nsig.level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\npower <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.8<\/span>\nNOTE<span class=\"synSpecial\">:<\/span> n is number <span class=\"synStatement\">in<\/span> <span class=\"synStatement\">*<\/span>each<span class=\"synStatement\">*<\/span> group\n<\/code><\/pre>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u904e\u91cd\u52b4\u50cd\u3068\u5fc3\u7b4b\u6897\u585e\u306e\u7814\u7a76\u3092\u3057\u305f\u3044\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u670880\u6642\u9593\u4ee5\u4e0a\u306e\u6b8b\u696d\u3092\u3057\u3066\u3044\u308b\u30d6\u30e9\u30c3\u30af\u306a\u50cd\u304b\u3055\u308c\u65b9\u3092\u3057\u3066\u3044\u308b\u4eba\u306f\u5168\u4f53\u306e1\u5272\u304f\u3089\u3044\u3068\u60f3\u50cf\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u5fc3\u7b4b\u6897\u585e\u3092\u8d77\u3053\u3059\u30ea\u30b9\u30af\u3092\u3001\u30aa\u30c3\u30ba\u6bd42\u3068\u60f3\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u3001\u7814\u7a76\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f\u5fc3\u7b4b\u6897\u585e\u60a3\u8005\u3055\u3093\u3068\u5fc3\u7b4b\u6897\u585e\u3092\u8d77\u3053\u3055\u306a\u304b\u3063\u305f\u4eba\u305d\u308c\u305e\u308c\u3001283\u4eba\u5fc5\u8981\u3068\u306e\u8a08\u7b97\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u7d50\u69cb\u5927\u304c\u304b\u308a\u306a\u7814\u7a76\u306b\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">sample.size.case.control<\/span><span class=\"synSpecial\">(<\/span>f<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">,<\/span> R<span class=\"synStatement\">=<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span>\nCase Control Study Sample Size Calculation\nn <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">282.686<\/span>\nProp exposed <span class=\"synStatement\">in<\/span> gen pop <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.1<\/span>\nAssumed Odds Ratio <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">2<\/span>\nsig.level <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.05<\/span>\npower <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.8<\/span>\nNOTE<span class=\"synSpecial\">:<\/span> n is number <span class=\"synStatement\">in<\/span> <span class=\"synStatement\">*<\/span>each<span class=\"synStatement\">*<\/span> group\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067\">\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092\u30a8\u30af\u30bb\u30eb\u3067<\/h2>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<p>\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/happyhappygk.base.ec\/items\/28123607\">\u3010\u75ab\u5b66\u3011\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76 \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97 \u3010\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3011 | TKER SHOP<\/a><\/p>\n\n\n\n<p>\u30a8\u30af\u30bb\u30eb\u30d5\u30a1\u30a4\u30eb\u306e\u4f7f\u3044\u65b9\u52d5\u753b\u3002<\/p>\n\n\n\n<p>\u3053\u3061\u3089\u3082\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><iframe width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/EYyqzj0lyoA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"allowfullscreen\" title=\"\u30b1\u30fc\u30b9\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7814\u7a76 Case-Control Study \u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97 \u30a8\u30af\u30bb\u30eb\u30d5\u30a1\u30a4\u30eb\u306e\u4f7f\u3044\u65b9\u3010\u30a8\u30af\u30bb\u30eb\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3011\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/EYyqzj0lyoA\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" 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