{"id":540,"date":"2018-07-15T19:13:45","date_gmt":"2018-07-15T10:13:45","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/what-is-and-how-to-do-non-inferiority-test\/"},"modified":"2024-10-13T23:27:25","modified_gmt":"2024-10-13T14:27:25","slug":"what-is-and-how-to-do-non-inferiority-test","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/what-is-and-how-to-do-non-inferiority-test\/","title":{"rendered":"\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306e\u6c7a\u3081\u65b9\u3068 R \u3067\u975e\u52a3\u6027\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u3044\u307e\u307e\u3067\u306e\u65b9\u6cd5\u3068\u6bd4\u3079\u3066\u3001\u683c\u6bb5\u306b\u3044\u3044\u3068\u304b\u3001\u969b\u7acb\u3063\u3066\u3044\u3044\u3068\u304b\u3001\u3058\u3083\u306a\u304f\u3066\u3082\u3044\u3044\u5834\u5408\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u30c0\u30e1\u3058\u3083\u306a\u3051\u308c\u3070\u3044\u3044\u3002<\/p>\n\n\n\n<p>\u52a3\u3063\u3066\u3044\u306a\u3051\u308c\u3070\u3044\u3044\u3002<\/p>\n\n\n\n<p>\u52a3\u3063\u3066\u3044\u306a\u3051\u308c\u3070\u3044\u3044\u3068\u3044\u3046\u691c\u5b9a\u65b9\u6cd5\u304c\u3001\u975e\u52a3\u6027\uff08\u3072\u308c\u3063\u305b\u3044\uff09\u691c\u5b9a\u3060\u3002<\/p>\n\n\n\n<p>\u3058\u3083\u3001\u3069\u3046\u3044\u3046\u3068\u304d\u304c\u52a3\u3063\u3066\u3044\u306a\u3044\u3063\u3066\u8a00\u3046\u306e\u304b\uff1f<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3068\u306f\u52a3\u3063\u3066\u3044\u308b\u3068\u306f\u52a3\u3063\u3066\u3044\u306a\u3044\u3068\u306f\">\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3068\u306f\uff1f\u52a3\u3063\u3066\u3044\u308b\u3068\u306f\uff1f\u52a3\u3063\u3066\u3044\u306a\u3044\u3068\u306f\uff1f<\/h2>\n\n\n\n<p>\u52a3\u3063\u3066\u3044\u306a\u3044\u3068\u306f\u3069\u3046\u3044\u3046\u72b6\u614b\u3092\u8a00\u3046\u306e\u304b\uff1f<\/p>\n\n\n\n<p>\u52a3\u3063\u3066\u3044\u308b\u3068\u306f\u3069\u3046\u72b6\u614b\u306a\u306e\u304b\uff1f<\/p>\n\n\n\n<p>\u5b9f\u306f\u8ab0\u3082\u308f\u304b\u3089\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u691c\u5b9a\u3067\u4e00\u756a\u306e\u554f\u984c\u306f\u3053\u306e\u70b9\u3060\u3002<\/p>\n\n\n\n<p>\u300c\u3053\u308c\u300d\u4ee5\u4e0a\u52a3\u3063\u3066\u3044\u305f\u3089\u3001\u52a3\u3063\u3066\u3044\u308b\u3068\u3059\u308b\u3001\u3068\u3044\u3046\u95be\u5024\uff08\u3057\u304d\u3044\u3061\uff09\u3092\u6c7a\u3081\u308b\u3002<\/p>\n\n\n\n<p>\u300c\u3053\u308c\u300d\u304c\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3068\u547c\u3070\u308c\u308b\u5e45\u3060\u3002<\/p>\n\n\n\n<p>\u3060\u304c\u3001\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306f\u4f55\u304c\u6b63\u89e3\u304b\u8ab0\u3082\u308f\u304b\u3089\u306a\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306e\u6c7a\u3081\u65b9\">\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306e\u6c7a\u3081\u65b9<\/h3>\n\n\n\n<p>\u53c2\u8003\u306b\u306a\u308b<a href=\"https:\/\/www.slideshare.net\/okumurayasuyuki\/ss-76150180\/13\" target=\"_blank\" rel=\"noopener\">\u30b9\u30e9\u30a4\u30c9\u30bb\u30c3\u30c8<\/a>\u3092\u898b\u3064\u3051\u305f\u3002<\/p>\n\n\n\n<p><iframe width=\"427\" height=\"356\" style=\"border: 1px solid #cccccc; margin-bottom: 5px; max-width: 100%; --darkreader-inline-border-top: #3e4446; --darkreader-inline-border-right: #3e4446; --darkreader-inline-border-bottom: #3e4446; --darkreader-inline-border-left: #3e4446;\" src=\"https:\/\/www.slideshare.net\/slideshow\/embed_code\/key\/tMD9z7jc8i8opN\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" allowfullscreen=\"allowfullscreen\"> <\/iframe><\/p>\n\n\n\n<div style=\"margin-bottom: 5px;\"><strong> <a href=\"https:\/\/www.slideshare.net\/slideshow\/ss-76150180\/76150180\" title=\"\u975e\u52a3\u6027\u8a66\u9a13\u306e\u5165\u9580\" target=\"_blank\" rel=\"noopener\">\u975e\u52a3\u6027\u8a66\u9a13\u306e\u5165\u9580<\/a> <\/strong> from <strong><a href=\"https:\/\/www.slideshare.net\/okumurayasuyuki\" target=\"_blank\" rel=\"noopener\">Yasuyuki Okumura<\/a><\/strong><\/div>\n\n\n\n<p><cite class=\"hatena-citation\"><a href=\"https:\/\/www.slideshare.net\/okumurayasuyuki\/ss-76150180\/13\">www.slideshare.net<\/a><\/cite><\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3092\u6c7a\u3081\u308b\u3068\u304d\u306b\u5fc5\u8981\u306a\u306e\u306f\u3001\u6a19\u6e96\u6cbb\u7642\u3068\u30d7\u30e9\u30bb\u30dc\u306e\u52b9\u679c\u306e\u5dee\u3068\u3001\u4fdd\u6301\u7387\u3068\u304b\u7dad\u6301\u7387\u3068\u547c\u3070\u308c\u308b\u6570\u5024\u3002<\/p>\n\n\n\n<p>\u6a19\u6e96\u6cbb\u7642\u306e\u52b9\u679c\u3068\u4fdd\u6301\u7387\uff1d\u7dad\u6301\u7387\u306e\u639b\u3051\u7b97\u3067\u3001\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3092\u6c7a\u3081\u308b\u3002<\/p>\n\n\n\n<p>\u3067\u306f\u3001\u4fdd\u6301\u7387\uff1d\u7dad\u6301\u7387\u3068\u306f\u4f55\u304b\uff1f<\/p>\n\n\n\n<p>\u6a19\u6e96\u6cbb\u7642\u306e\u30d7\u30e9\u30bb\u30dc\u306b\u5bfe\u3059\u308b\u52b9\u679c\u306e\u4f55\u5272\u306f\u52b9\u679c\u304c\u3042\u308b\u304b\uff1f\u3068\u3044\u3046\u3053\u3068\u3002<\/p>\n\n\n\n<p>\u3069\u3093\u306a\u306b\u52b9\u679c\u304c\u306a\u304f\u3066\u3082\u3001\u6a19\u6e96\u6cbb\u7642\u306e\u52b9\u679c\u306e\u534a\u5206\u306f\u52b9\u679c\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3082\u3057\u304f\u306f\u52b9\u679c\u304c\u3042\u3063\u3066\u307b\u3057\u3044\u3001\u306a\u3069\u3002<\/p>\n\n\n\n<p>\u65b0\u3057\u3044\u6cbb\u7642\u306f\u307e\u3060\u52b9\u679c\u304c\u3088\u304f\u308f\u304b\u3089\u306a\u3044\u304b\u3089\u3001\u6700\u60aa\u3067\u3082\u6a19\u6e96\u6cbb\u7642\u306e\u52b9\u679c\u306e\u3069\u306e\u304f\u3089\u3044\u306f\u52b9\u679c\u304c\u3042\u308b\u3001\u3068\u3044\u3046\u3053\u3068\u306f\u5b9f\u306f\u308f\u304b\u3089\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u3060\u304b\u3089\u3001\u4fdd\u6301\u7387\uff1d\u7dad\u6301\u7387\u306f\u3001\u3042\u3044\u307e\u3044\u3060\u3002<\/p>\n\n\n\n<p>\u4e3b\u89b3\u306a\u306e\u3060\u3002<\/p>\n\n\n\n<p>\u3082\u3057\u304f\u306f\u9858\u671b\u3002<\/p>\n\n\n\n<p>\u3069\u3053\u307e\u3067\u3044\u3063\u3066\u3082\u8b70\u8ad6\u304c\u5c3d\u304d\u306a\u3044\u7406\u7531\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u8a66\u9a13\u306e\u6700\u5927\u306e\u5f31\u70b9\u3060\u3002<\/p>\n\n\n\n<p>\u73fe\u5b9f\u306f\u3001\u305f\u304f\u3055\u3093\u8a66\u9a13\u304c\u884c\u308f\u308c\u3066\u3044\u3066\u3001\u4f55\u3089\u304b\u306e\u7406\u5c48\u3092\u3064\u3051\u3066\u9069\u5207\u306a\u8a66\u9a13\u3068\u307f\u306a\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u305d\u306e\u7d50\u679c\u3001\u52b9\u679c\u306f\u5909\u308f\u3089\u306a\u3044\u304c\u3001\u526f\u4f5c\u7528\u304c\u5c11\u306a\u3044\u6cbb\u7642\u6cd5\u304c\u751f\u307e\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u3069\u3053\u307e\u3067\u3082\u602a\u3057\u3055\u304c\u6b8b\u308b\u304c\u3001\u5168\u5426\u5b9a\u3059\u308b\u307b\u3069\u3067\u3082\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u304c\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3001\u975e\u52a3\u6027\u691c\u5b9a\u3001\u975e\u52a3\u6027\u8a66\u9a13\u3060\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306e\u6c7a\u3081\u65b9\u4f8b\">\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306e\u6c7a\u3081\u65b9\u4f8b<\/h3>\n\n\n\n<p>\u4f8b \uff1a\u30d7\u30e9\u30bb\u30dc\u3068\u306e\u5dee\u306e\u534a\u5206<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"983\" height=\"700\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415204354.png\" alt=\"\" class=\"wp-image-2967\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415204354.png 983w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415204354-300x214.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415204354-768x547.png 768w\" sizes=\"(max-width: 983px) 100vw, 983px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u51fa\u5178\uff1a<\/p>\n\n\n\n<p><a href=\"https:\/\/www.pmda.go.jp\/files\/000204955.pdf\">\u975e\u52a3\u6027\u8a66\u9a13\u306b\u6f5c\u3080\u554f\u984c\u70b9<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u691c\u5b9a\u5272\u5408\u306e\u5834\u5408\">\u5272\u5408\u306e\u975e\u52a3\u6027\u691c\u5b9a<\/h2>\n\n\n\n<p>R\u306e\u30b9\u30af\u30ea\u30d7\u30c8\u3092\u4ee5\u4e0b\u306b\u793a\u3059\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>non.inferior <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">function<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synSpecial\">,<\/span> nB<span class=\"synSpecial\">,<\/span> rA<span class=\"synSpecial\">,<\/span> rB<span class=\"synSpecial\">,<\/span> DELTA<span class=\"synSpecial\">,<\/span>\nconf.level<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.9<\/span><span class=\"synSpecial\">){<\/span>\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Non-Inferiority Test (Dunnett-Gent)\"<\/span>\npB.star <span class=\"synStatement\">&lt;-<\/span> <span class=\"synSpecial\">(<\/span>rA<span class=\"synStatement\">+<\/span>rB<span class=\"synStatement\">+<\/span>nA<span class=\"synStatement\">*<\/span>DELTA<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">+<\/span>nB<span class=\"synSpecial\">)<\/span>\nse.delta.hat <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(((<\/span>pB.star<span class=\"synStatement\">-<\/span>DELTA<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span>\n<span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pB.star<span class=\"synStatement\">+<\/span>DELTA<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>nA<span class=\"synStatement\">+<\/span><span class=\"synSpecial\">(<\/span>pB.star<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pB.star<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>nB<span class=\"synSpecial\">)<\/span>\npA.hat <span class=\"synStatement\">&lt;-<\/span> rA<span class=\"synStatement\">\/<\/span>nA\npB.hat <span class=\"synStatement\">&lt;-<\/span> rB<span class=\"synStatement\">\/<\/span>nB\nSTATISTIC <span class=\"synStatement\">&lt;-<\/span> <span class=\"synSpecial\">(<\/span>pA.hat<span class=\"synStatement\">-<\/span><span class=\"synSpecial\">(<\/span>pB.hat<span class=\"synStatement\">-<\/span>DELTA<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>se.delta.hat\n<span class=\"synIdentifier\">names<\/span><span class=\"synSpecial\">(<\/span>STATISTIC<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Z\"<\/span>\nPVAL <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synIdentifier\">pnorm<\/span><span class=\"synSpecial\">(<\/span>STATISTIC<span class=\"synSpecial\">)<\/span>\nse <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(<\/span>pA.hat<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pA.hat<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span>nA<span class=\"synStatement\">+<\/span>pB.hat<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pB.hat<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span>nB<span class=\"synSpecial\">)<\/span>\ndelta <span class=\"synStatement\">&lt;-<\/span> pA.hat<span class=\"synStatement\">-<\/span>pB.hat\nWIDTH <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">qnorm<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>conf.level<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span>\nCINT <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span>delta <span class=\"synStatement\">-<\/span> WIDTH<span class=\"synStatement\">*<\/span>se<span class=\"synSpecial\">,<\/span> delta <span class=\"synStatement\">+<\/span> WIDTH<span class=\"synStatement\">*<\/span>se<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">attr<\/span><span class=\"synSpecial\">(<\/span>CINT<span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">\"conf.level\"<\/span><span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> conf.level\nRVAL <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span>statistic<span class=\"synStatement\">=<\/span>STATISTIC<span class=\"synSpecial\">,<\/span>\np.value<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">as.numeric<\/span><span class=\"synSpecial\">(<\/span>PVAL<span class=\"synSpecial\">),<\/span>\nestimate<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span>pA<span class=\"synStatement\">=<\/span>pA.hat<span class=\"synSpecial\">,<\/span> pB<span class=\"synStatement\">=<\/span>pB.hat<span class=\"synSpecial\">,<\/span> pBstar<span class=\"synStatement\">=<\/span>pB.star<span class=\"synSpecial\">),<\/span>\nconf.int<span class=\"synStatement\">=<\/span>CINT<span class=\"synSpecial\">,<\/span> method<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">class<\/span><span class=\"synSpecial\">(<\/span>RVAL<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"htest\"<\/span>\n<span class=\"synStatement\">return<\/span><span class=\"synSpecial\">(<\/span>RVAL<span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<span class=\"synIdentifier\">non.inferior<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">128<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">127<\/span><span class=\"synSpecial\">,<\/span>\nrA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">64<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">37<\/span><span class=\"synSpecial\">,<\/span> rB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">57<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">39<\/span><span class=\"synSpecial\">,<\/span> DELTA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>R\u30b3\u30f3\u30bd\u30fc\u30eb\u306b\u30b3\u30d4\u30da\u3059\u308c\u3070\u4f7f\u3048\u308b\u3002<\/p>\n\n\n\n<p>\u81e8\u5e8a\u7684\u306b\u610f\u5473\u306e\u3042\u308b\u6700\u5c0f\u306e\u5dee\uff08DELTA\uff09\u304c\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u3060\u3002<\/p>\n\n\n\n<p>\u3069\u3093\u306a\u306b\u6700\u60aa\u3067\u3082\u305d\u3053\u306f\u4e0b\u56de\u3089\u306a\u3044\u3068\u3044\u3046\u9650\u754c\u70b9\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>pA.hat: \u8a66\u9a13\u85ac\u306e\u6709\u52b9\u7387<\/li>\n\n\n\n<li>pB.hat: \u6a19\u6e96\u85ac\u306e\u6709\u52b9\u7387<\/li>\n\n\n\n<li><p>pB.star: \u5e30\u7121\u4eee\u8aac(H0:pA=pB-DELTA)\u306e\u4e0b\u3067\u306epB<\/p><\/li>\n\n\n\n<li><p>DELTA: \u81e8\u5e8a\u7684\u306b\u610f\u5473\u306e\u3042\u308b\u6700\u5c0f\u306e\u5dee\u219210%\uff080.1\uff09\u3068\u3059\u308b<\/p><\/li>\n\n\n\n<li>rA: \u8a66\u9a13\u85ac\u7fa4\u306e\u6709\u52b9\u75c7\u4f8b\u6570\u219264\u4eba\u306837\u4eba\u3068\u3059\u308b<\/li>\n\n\n\n<li>nA: \u8a66\u9a13\u85ac\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u2192128\u3068\u3059\u308b<\/li>\n\n\n\n<li>rB: \u6a19\u6e96\u85ac\u7fa4\u306e\u6709\u52b9\u75c7\u4f8b\u6570\u219257\u4eba\u306839\u4eba\u3068\u3059\u308b<\/li>\n\n\n\n<li>nB: \u6a19\u6e96\u85ac\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u2192127\u3068\u3059\u308b<\/li>\n<\/ul>\n\n\n\n<p>STATISTICS\u304c\u691c\u5b9a\u7d71\u8a08\u91cf\u3067\u3001\u6f38\u8fd1\u7684\u306b\u6b63\u898f\u8fd1\u4f3c\u3067\u304d\u308b\u691c\u5b9a\u7d71\u8a08\u91cf\u3060\u3002<\/p>\n\n\n\n<p>non.inferior\u304c\u81ea\u4f5c\u95a2\u6570\u540d\u3060\u3002<\/p>\n\n\n\n<p>non.inferior()\u3067\u4f7f\u3046\u3002<\/p>\n\n\n\n<p>\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">non.inferior<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">128<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">127<\/span><span class=\"synSpecial\">,<\/span> rA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">64<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">37<\/span><span class=\"synSpecial\">,<\/span> rB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">57<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">39<\/span><span class=\"synSpecial\">,<\/span> DELTA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\nNon<span class=\"synStatement\">-<\/span>Inferiority <span class=\"synIdentifier\">Test <\/span><span class=\"synSpecial\">(<\/span>Dunnett<span class=\"synStatement\">-<\/span>Gent<span class=\"synSpecial\">)<\/span>\ndata<span class=\"synSpecial\">:<\/span>\nZ <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">2.5561<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.005293<\/span>\n<span class=\"synConstant\">90<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synStatement\">-<\/span><span class=\"synConstant\">0.05314985<\/span>  <span class=\"synConstant\">0.11946383<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\npA        pB    pBstar\n<span class=\"synConstant\">0.7890625<\/span> <span class=\"synConstant\">0.7559055<\/span> <span class=\"synConstant\">0.8227451<\/span>\n<\/code><\/pre>\n\n\n\n<p>p\u5024\u306f\u7247\u5074\u3067\u51fa\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u306f\u6700\u4f4e\u3053\u306e\u70b9\u306f\u4e0b\u56de\u3089\u306a\u3044\u3068\u3044\u3046\u4eee\u8aac\u3067\u3001\u7247\u5074\u3057\u304b\u8208\u5473\u304c\u306a\u3044\u305f\u3081\u3001\u8208\u5473\u304c\u3042\u308b\u5074\u306e\u7247\u5074p\u5024\u3092\u51fa\u3059\u3002<\/p>\n\n\n\n<p>90%\u4fe1\u983c\u533a\u9593\u3092\u51fa\u529b\u3057\u3066\u3044\u308b\u306e\u3082\u3001\u4e0b\u96505%\u306e\u30e9\u30a4\u30f3\u3092\u898b\u308b\u305f\u3081\u3060\u3002<\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\uff7010%\uff08-0.1)\u3088\u308a\u3082\u3001\u4fe1\u983c\u533a\u9593\u306e\u4e0b\u9650\u304c\u5927\u304d\u304f-0.05\u306e\u305f\u3081\u3001\u975e\u52a3\u6027\u3068\u8a00\u3048\u308b\u308f\u3051\u3060\u3002<\/p>\n\n\n\n<p>\u305f\u3060\u3057\u3001\u6709\u52b9\u6027100%\u306e\u5834\u5408\u306f\u8a08\u7b97\u3067\u304d\u306a\u3044\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">non.inferior<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">188<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">91<\/span><span class=\"synSpecial\">,<\/span> rA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">188<\/span><span class=\"synSpecial\">,<\/span> rB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">91<\/span><span class=\"synSpecial\">,<\/span> DELTA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\nNon<span class=\"synStatement\">-<\/span>Inferiority <span class=\"synIdentifier\">Test <\/span><span class=\"synSpecial\">(<\/span>Dunnett<span class=\"synStatement\">-<\/span>Gent<span class=\"synSpecial\">)<\/span>\ndata<span class=\"synSpecial\">:<\/span>\nZ <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">NaN<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">NA<\/span>\n<span class=\"synConstant\">90<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synConstant\">0<\/span> <span class=\"synConstant\">0<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\npA       pB   pBstar\n<span class=\"synConstant\">1.000000<\/span> <span class=\"synConstant\">1.000000<\/span> <span class=\"synConstant\">1.067384<\/span>\nWarning message<span class=\"synSpecial\">:<\/span>\nIn <span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(((<\/span>pB.star <span class=\"synStatement\">-<\/span> DELTA<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">*<\/span> <span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span> <span class=\"synStatement\">-<\/span> pB.star <span class=\"synStatement\">+<\/span> DELTA<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>nA <span class=\"synStatement\">+<\/span> <span class=\"synSpecial\">(<\/span>pB.star <span class=\"synStatement\">*<\/span>  <span class=\"synSpecial\">:<\/span>\nNaNs produced\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u691c\u5b9a\u5272\u5408\u306e\u691c\u5b9a\u3092\u6700\u5c24\u63a8\u5b9a\u91cf\u3067\u884c\u3046\u306b\u306f\">\u5272\u5408\u306e\u975e\u52a3\u6027\u691c\u5b9a\u3092\u6700\u5c24\u63a8\u5b9a\u91cf\u3067\u884c\u3046\u306b\u306f\uff1f<\/h3>\n\n\n\n<p>\u6b63\u898f\u8fd1\u4f3c\u306f100%\u3092\u8d85\u3048\u3066\u3057\u307e\u3046\u3068\u304d\u306f\u4f7f\u3048\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u73fe\u5b9f\u306b\u306f\u3001\u4e21\u7fa4\u3068\u3082\u6709\u52b9\u7387100%\u304c\u3042\u308a\u3046\u308b\u3002<\/p>\n\n\n\n<p>\u6709\u52b9\u7387100%\u3092\u975e\u52a3\u6027\u691c\u5b9a\u3059\u308b\u306b\u306f\u3001\u6700\u5c24\u63a8\u5b9a\u91cf\u306b\u57fa\u3065\u304f\u691c\u5b9a\u3092\u5229\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>pB.star: \u5e30\u7121\u4eee\u8aac(H0:pA=pB-DELTA)\u306e\u4e0b\u3067\u306epB<\/p>\n\n\n\n<p>\u306e\u8a08\u7b97\u304c\u524d\u7bc0\u306e\u6b63\u898f\u8fd1\u4f3c\u3068\u7570\u306a\u308a\u3001\u3084\u3084\u3053\u3057\u3044\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>non.inferior.likelihood <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">function<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synSpecial\">,<\/span> nB<span class=\"synSpecial\">,<\/span> rA<span class=\"synSpecial\">,<\/span> rB<span class=\"synSpecial\">,<\/span> DELTA<span class=\"synSpecial\">,<\/span>\nconf.level<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.9<\/span><span class=\"synSpecial\">){<\/span>\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Non-Inferiority Test (Likelihood Method)\"<\/span>\npA.hat <span class=\"synStatement\">&lt;-<\/span> rA<span class=\"synStatement\">\/<\/span>nA\npB.hat <span class=\"synStatement\">&lt;-<\/span> rB<span class=\"synStatement\">\/<\/span>nB\na <span class=\"synStatement\">&lt;-<\/span> nA<span class=\"synStatement\">+<\/span>nB\nb <span class=\"synStatement\">&lt;-<\/span> <span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span>nB<span class=\"synStatement\">+<\/span>nA<span class=\"synStatement\">+<\/span>rB<span class=\"synStatement\">+<\/span>rA<span class=\"synStatement\">+<\/span>DELTA<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">+<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>nB<span class=\"synSpecial\">))<\/span>\nc <span class=\"synStatement\">&lt;-<\/span> nB<span class=\"synStatement\">*<\/span>DELTA<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">+<\/span>DELTA<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>rB<span class=\"synStatement\">+<\/span>nA<span class=\"synStatement\">+<\/span>nB<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">+<\/span>rB<span class=\"synStatement\">+<\/span>rA\nd <span class=\"synStatement\">&lt;-<\/span> <span class=\"synStatement\">-<\/span>rB<span class=\"synStatement\">*<\/span>DELTA<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">+<\/span>DELTA<span class=\"synSpecial\">)<\/span>\nv <span class=\"synStatement\">&lt;-<\/span> b<span class=\"synStatement\">^<\/span><span class=\"synConstant\">3<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">27<\/span><span class=\"synStatement\">*<\/span>a<span class=\"synStatement\">^<\/span><span class=\"synConstant\">3<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">-<\/span><span class=\"synSpecial\">(<\/span>b<span class=\"synStatement\">*<\/span>c<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">6<\/span><span class=\"synStatement\">*<\/span>a<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">+<\/span>d<span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>a<span class=\"synSpecial\">)<\/span>\nu <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sign<\/span><span class=\"synSpecial\">(<\/span>v<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span><span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(<\/span>b<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">9<\/span><span class=\"synStatement\">*<\/span>a<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">-<\/span>c<span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">3<\/span><span class=\"synStatement\">*<\/span>a<span class=\"synSpecial\">))<\/span>\nw <span class=\"synStatement\">&lt;-<\/span> <span class=\"synSpecial\">(<\/span><span class=\"synConstant\">pi<\/span><span class=\"synStatement\">+<\/span><span class=\"synIdentifier\">acos<\/span><span class=\"synSpecial\">(<\/span>v<span class=\"synStatement\">\/<\/span>u<span class=\"synStatement\">^<\/span><span class=\"synConstant\">3<\/span><span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">3<\/span>\npB.star <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">2<\/span><span class=\"synStatement\">*<\/span>u<span class=\"synStatement\">*<\/span><span class=\"synIdentifier\">cos<\/span><span class=\"synSpecial\">(<\/span>w<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">-<\/span>b<span class=\"synStatement\">\/<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">3<\/span><span class=\"synStatement\">*<\/span>a<span class=\"synSpecial\">)<\/span>\nse.delta.hat <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(((<\/span>pB.star<span class=\"synStatement\">-<\/span>DELTA<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span>\n<span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pB.star<span class=\"synStatement\">+<\/span>DELTA<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>nA<span class=\"synStatement\">+<\/span><span class=\"synSpecial\">(<\/span>pB.star<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pB.star<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>nB<span class=\"synSpecial\">)<\/span>\nSTATISTIC <span class=\"synStatement\">&lt;-<\/span> <span class=\"synSpecial\">(<\/span>pA.hat<span class=\"synStatement\">-<\/span><span class=\"synSpecial\">(<\/span>pB.hat<span class=\"synStatement\">-<\/span>DELTA<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>se.delta.hat\n<span class=\"synIdentifier\">names<\/span><span class=\"synSpecial\">(<\/span>STATISTIC<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Z\"<\/span>\nPVAL <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synIdentifier\">pnorm<\/span><span class=\"synSpecial\">(<\/span>STATISTIC<span class=\"synSpecial\">)<\/span>\nse <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">(<\/span>pA.hat<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pA.hat<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span>nA<span class=\"synStatement\">+<\/span>pB.hat<span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>pB.hat<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span>nB<span class=\"synSpecial\">)<\/span>\ndelta <span class=\"synStatement\">&lt;-<\/span> pA.hat<span class=\"synStatement\">-<\/span>pB.hat\nWIDTH <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">qnorm<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>conf.level<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span>\nCINT <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span>delta <span class=\"synStatement\">-<\/span> WIDTH<span class=\"synStatement\">*<\/span>se<span class=\"synSpecial\">,<\/span> delta <span class=\"synStatement\">+<\/span> WIDTH<span class=\"synStatement\">*<\/span>se<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">attr<\/span><span class=\"synSpecial\">(<\/span>CINT<span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">\"conf.level\"<\/span><span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> conf.level\nRVAL <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span>statistic<span class=\"synStatement\">=<\/span>STATISTIC<span class=\"synSpecial\">,<\/span>\np.value<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">as.numeric<\/span><span class=\"synSpecial\">(<\/span>PVAL<span class=\"synSpecial\">),<\/span>\nestimate<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span>pA<span class=\"synStatement\">=<\/span>pA.hat<span class=\"synSpecial\">,<\/span> pB<span class=\"synStatement\">=<\/span>pB.hat<span class=\"synSpecial\">,<\/span> pBstar<span class=\"synStatement\">=<\/span>pB.star<span class=\"synSpecial\">),<\/span>\nconf.int<span class=\"synStatement\">=<\/span>CINT<span class=\"synSpecial\">,<\/span> method<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">class<\/span><span class=\"synSpecial\">(<\/span>RVAL<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"htest\"<\/span>\n<span class=\"synStatement\">return<\/span><span class=\"synSpecial\">(<\/span>RVAL<span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<span class=\"synIdentifier\">non.inferior.likelihood<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">128<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">127<\/span><span class=\"synSpecial\">,<\/span>\nrA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">64<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">37<\/span><span class=\"synSpecial\">,<\/span> rB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">57<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">39<\/span><span class=\"synSpecial\">,<\/span> DELTA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n<p>p\u5024\u304c\u307b\u3093\u306e\u5c11\u3057\u5927\u304d\u304f\u306a\u308a\u3001\u5e30\u7121\u4eee\u8aac\u306e\u4e0b\u3067\u306epB\uff08pBstar\uff09\u306f\u3001\u307b\u3093\u306e\u5c11\u3057\u5c0f\u3055\u304f\u898b\u7a4d\u3082\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">non.inferior.likelihood<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">128<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">127<\/span><span class=\"synSpecial\">,<\/span> rA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">64<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">37<\/span><span class=\"synSpecial\">,<\/span> rB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">57<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">39<\/span><span class=\"synSpecial\">,<\/span> DELTA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\nNon<span class=\"synStatement\">-<\/span>Inferiority <span class=\"synIdentifier\">Test <\/span><span class=\"synSpecial\">(<\/span>Likelihood Method<span class=\"synSpecial\">)<\/span>\ndata<span class=\"synSpecial\">:<\/span>\nZ <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">2.5181<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.0059<\/span>\n<span class=\"synConstant\">90<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synStatement\">-<\/span><span class=\"synConstant\">0.05314985<\/span>  <span class=\"synConstant\">0.11946383<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\npA        pB    pBstar\n<span class=\"synConstant\">0.7890625<\/span> <span class=\"synConstant\">0.7559055<\/span> <span class=\"synConstant\">0.8129256<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u6700\u5c24\u63a8\u5b9a\u91cf\u306b\u57fa\u3065\u304f\u65b9\u6cd5\u306a\u3089\u6709\u52b9\u6027100%\u3067\u3082\u691c\u5b9a\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">non.inferior.likelihood<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">188<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">91<\/span><span class=\"synSpecial\">,<\/span> rA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">188<\/span><span class=\"synSpecial\">,<\/span> rB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">91<\/span><span class=\"synSpecial\">,<\/span> DELTA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">)<\/span>\nNon<span class=\"synStatement\">-<\/span>Inferiority <span class=\"synIdentifier\">Test <\/span><span class=\"synSpecial\">(<\/span>Likelihood Method<span class=\"synSpecial\">)<\/span>\ndata<span class=\"synSpecial\">:<\/span>\nZ <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">4.5704<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">2.434e-06<\/span>\n<span class=\"synConstant\">90<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synConstant\">0<\/span> <span class=\"synConstant\">0<\/span>\nsample estimates<span class=\"synSpecial\">:<\/span>\npA     pB pBstar\n<span class=\"synConstant\">1<\/span>      <span class=\"synConstant\">1<\/span>      <span class=\"synConstant\">1<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u6700\u5c24\u63a8\u5b9a\u91cf\u306b\u57fa\u3065\u304f\u65b9\u6cd5\u3067\u691c\u5b9a\u3057\u3066\u304a\u3051\u3070\u3001\u3044\u3064\u3067\u3082\u554f\u984c\u306a\u3044\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"R-\u306e-TOSTER-\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u305f\u65b9\u6cd5twoprop_test-\u95a2\u6570\">R \u306e TOSTER \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u305f\u65b9\u6cd5\uff08twoprop_test \u95a2\u6570\uff09<\/h3>\n\n\n\n<p>R \u306e TOSTER \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3046\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u308b<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synPreProc\">library<\/span><span class=\"synSpecial\">(<\/span>TOSTER<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">twoprop_test<\/span><span class=\"synSpecial\">(<\/span>p1<span class=\"synStatement\">=<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">64<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">37<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">128<\/span><span class=\"synSpecial\">,<\/span> p2<span class=\"synStatement\">=<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">57<\/span><span class=\"synStatement\">+<\/span><span class=\"synConstant\">39<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">127<\/span><span class=\"synSpecial\">,<\/span>\nn1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">128<\/span><span class=\"synSpecial\">,<\/span> n2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">127<\/span><span class=\"synSpecial\">,<\/span> null<span class=\"synStatement\">=-<\/span><span class=\"synConstant\">0.1<\/span><span class=\"synSpecial\">,<\/span>\nalternative<span class=\"synStatement\">=<\/span><span class=\"synConstant\">\"greater\"<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u51fa\u529b\u3055\u308c\u308b<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"825\" height=\"336\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415212151.png\" alt=\"\" class=\"wp-image-2968\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415212151.png 825w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415212151-300x122.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20240415212151-768x313.png 768w\" sizes=\"(max-width: 825px) 100vw, 825px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>p1 \u306e\u307b\u3046\u304c\u5927\u304d\u3044\uff08greater\uff09\u3068\u3044\u3046\u5bfe\u7acb\u4eee\u8aac\u3067\u3001\u5e30\u7121\u4eee\u8aac\uff08null\uff09\u306b\u306f\u30010 \u306e\u4ee3\u308f\u308a\u306b\u3001-0.1 \u3068\u3059\u308b<\/p>\n\n\n\n<p>\u3053\u308c\u306b\u3088\u3063\u3066\u3001-0.1 \u304c\u68c4\u5374\u3055\u308c\u308c\u3070\u3001\u5c11\u306a\u304f\u3068\u3082 \u20100.1 \u3088\u308a\u3082\u5c0f\u3055\u3044\u3053\u3068\u306f\u306a\u3044\u3068\u8a00\u3048\u308b\u3053\u3068\u306b\u306a\u308a\u3001\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3 \u20100.1 \u3088\u308a\u306f\u5927\u304d\u3044\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3053\u3068\u306b\u306a\u308b<\/p>\n\n\n\n<p>P \u5024\u306f\u3001\u4e0a\u8a18\u306e\u30b9\u30af\u30ea\u30d7\u30c8\u306b\u3088\u308b\u7d50\u679c\u3068\u540c\u69d8\u306e\u30010.005579 \u3068\u306a\u308a\u3001\u5dee\u306e 90 \uff05 \u4fe1\u983c\u533a\u9593\u306e\u4e0b\u9650\u3092\u898b\u308b\u3068\u3001-0.1 \u3088\u308a\u3082\u5927\u304d\u3044\u3001\u7d04 \u20100.053 \u3068\u306a\u3063\u3066\u3044\u3066\u3001\u7d50\u679c\u304c\u6574\u5408\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u691c\u5b9a\u5272\u5408\u306e\u5834\u5408\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\">\u975e\u52a3\u6027\u691c\u5b9a\u3000\u5272\u5408\u306e\u5834\u5408\u3000\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f<\/h3>\n\n\n\n<p>\u6bcd\u6bd4\u7387\u306e\u975e\u52a3\u6027\u691c\u5b9a\uff08\u6700\u5c24\u63a8\u5b9a\u91cf\u306b\u57fa\u3065\u304f\u65b9\u6cd5\uff09\u3092\u8a08\u7b97\u3059\u308b\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3092\u4f5c\u3063\u305f\u306e\u3067\u3001\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/happyhappygk.base.ec\/items\/53449724\">\u5272\u5408\u306e\u975e\u52a3\u6027\u691c\u5b9a \u8a08\u7b97\u6a5f\u3010\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3011 | TKER SHOP<\/a><\/p>\n\n\n\n<p>\u4f7f\u3044\u65b9\u89e3\u8aac\u52d5\u753b\u3082\u3001\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\/quFTn7knwfM?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=\"\u5272\u5408\u306e\u975e\u52a3\u6027\u691c\u5b9a \u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f \u4f7f\u3044\u65b9\u89e3\u8aac\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/quFTn7knwfM\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<div id=\"biost-270087242\" 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=\"\u975e\u52a3\u6027\u691c\u5b9a\u5e73\u5747\u5024\u306e\u5834\u5408\">\u5e73\u5747\u5024\u306e\u975e\u52a3\u6027\u691c\u5b9a<\/h2>\n\n\n\n<p>\u5909\u5316\u91cf\u306e\u5e73\u5747\u5024\u306e\u3088\u3046\u306a\u5834\u5408\u3001\u975e\u52a3\u6027\u691c\u5b9a\u306f\u3069\u3046\u3084\u308b\u304b\uff1f<\/p>\n\n\n\n<p>\u5e30\u7121\u4eee\u8aac $ H_0 $ \u3068\u5bfe\u7acb\u4eee\u8aac $ H_1 $ \u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3060\u3002<\/p>\n\n\n\n<p>$$ H_0: \\mu_A \\leqq \\mu_B &#8211; \\Delta $$<\/p>\n\n\n\n<p>$$ H_1: \\mu_A > \\mu_B &#8211; \\Delta $$<\/p>\n\n\n\n\n\n\n\n<p>\u81e8\u5e8a\u4e0a\u610f\u5473\u306e\u3042\u308b\u6700\u5c0f\u306e\u5dee\u3092\u5f15\u3044\u3066\u3001\u540c\u3058\u304b\u305d\u308c\u3088\u308a\u3082\u52a3\u308b\u3001\u304c\u5e30\u7121\u4eee\u8aac $ H_0 $<\/p>\n\n\n\n<p>\u5bfe\u7acb\u4eee\u8aac $ H_1 $ \u306f\u81e8\u5e8a\u4e0a\u610f\u5473\u306e\u3042\u308b\u6700\u5c0f\u306e\u5dee\u3092\u5f15\u304f\u3068\u3001\u5c11\u306a\u304f\u3068\u3082\u305d\u306e\u30ec\u30d9\u30eb\u306f\u4e0a\u56de\u308b\u52b9\u679c\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>non.inferiority.mean <span class=\"synStatement\">&lt;-<\/span> <span class=\"synType\">function<\/span><span class=\"synSpecial\">(<\/span>\nnA<span class=\"synSpecial\">,<\/span> xbarA<span class=\"synSpecial\">,<\/span> sdA<span class=\"synSpecial\">,<\/span> nB<span class=\"synSpecial\">,<\/span> xbarB<span class=\"synSpecial\">,<\/span> sdB<span class=\"synSpecial\">,<\/span> Delta<span class=\"synSpecial\">,<\/span> conf.level<span class=\"synStatement\">=<\/span><span class=\"synConstant\">.9<\/span><span class=\"synSpecial\">){<\/span>\ndata.name <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sprintf<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"<\/span><span class=\"synSpecial\">\\n<\/span><span class=\"synConstant\">N_A = %s, Mean_A = %s, SD_A = %s<\/span><span class=\"synSpecial\">\\n<\/span>\n<span class=\"synConstant\">N_B = %s, Mean_B = %s, SD_B = %s<\/span><span class=\"synSpecial\">\\n<\/span><span class=\"synConstant\">Delta = %s\"<\/span><span class=\"synSpecial\">,<\/span>\nnA<span class=\"synSpecial\">,<\/span> xbarA<span class=\"synSpecial\">,<\/span> sdA<span class=\"synSpecial\">,<\/span> nB<span class=\"synSpecial\">,<\/span> xbarB<span class=\"synSpecial\">,<\/span> sdB<span class=\"synSpecial\">,<\/span> Delta<span class=\"synSpecial\">)<\/span>\nMETHOD <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"Non-inferiority test (Mean)\"<\/span>\ndf <span class=\"synStatement\">&lt;-<\/span> nA<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">+<\/span>nB<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span>\n<span class=\"synIdentifier\">names<\/span><span class=\"synSpecial\">(<\/span>df<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"df\"<\/span>\nSE <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">sqrt<\/span><span class=\"synSpecial\">((<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">\/<\/span>nA<span class=\"synStatement\">+<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">\/<\/span>nB<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span><span class=\"synSpecial\">(((<\/span>nA<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span>sdA<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synStatement\">+<\/span><span class=\"synSpecial\">(<\/span>nB<span class=\"synStatement\">-<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">*<\/span>sdB<span class=\"synStatement\">^<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span>df<span class=\"synSpecial\">))<\/span>\nSTATISTIC <span class=\"synStatement\">&lt;-<\/span> <span class=\"synSpecial\">(<\/span>xbarA <span class=\"synStatement\">-<\/span> <span class=\"synSpecial\">(<\/span>xbarB <span class=\"synStatement\">-<\/span> Delta<span class=\"synSpecial\">))<\/span><span class=\"synStatement\">\/<\/span>SE\n<span class=\"synIdentifier\">names<\/span><span class=\"synSpecial\">(<\/span>STATISTIC<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"T\"<\/span>\nPVAL <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">1<\/span> <span class=\"synStatement\">-<\/span> <span class=\"synIdentifier\">pt<\/span><span class=\"synSpecial\">(<\/span>STATISTIC<span class=\"synSpecial\">,<\/span> df<span class=\"synSpecial\">)<\/span>\ndelta <span class=\"synStatement\">&lt;-<\/span> xbarA <span class=\"synStatement\">-<\/span> xbarB\nWIDTH <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">qt<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">-<\/span>conf.level<span class=\"synSpecial\">)<\/span><span class=\"synStatement\">\/<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">,<\/span> df<span class=\"synSpecial\">)<\/span>\nCINT <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">c<\/span><span class=\"synSpecial\">(<\/span>delta<span class=\"synStatement\">-<\/span>WIDTH<span class=\"synStatement\">*<\/span>SE<span class=\"synSpecial\">,<\/span> delta<span class=\"synStatement\">+<\/span>WIDTH<span class=\"synStatement\">*<\/span>SE<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">attr<\/span><span class=\"synSpecial\">(<\/span>CINT<span class=\"synSpecial\">,<\/span> <span class=\"synConstant\">\"conf.level\"<\/span><span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> conf.level\nRVAL <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">structure<\/span><span class=\"synSpecial\">(<\/span><span class=\"synType\">list<\/span><span class=\"synSpecial\">(<\/span>statistics<span class=\"synStatement\">=<\/span>STATISTIC<span class=\"synSpecial\">,<\/span> parameter<span class=\"synStatement\">=<\/span>df<span class=\"synSpecial\">,<\/span>\np.value<span class=\"synStatement\">=<\/span><span class=\"synIdentifier\">as.numeric<\/span><span class=\"synSpecial\">(<\/span>PVAL<span class=\"synSpecial\">),<\/span> data.name<span class=\"synStatement\">=<\/span>data.name<span class=\"synSpecial\">,<\/span>\nconf.int<span class=\"synStatement\">=<\/span>CINT<span class=\"synSpecial\">,<\/span> method<span class=\"synStatement\">=<\/span>METHOD<span class=\"synSpecial\">))<\/span>\n<span class=\"synIdentifier\">class<\/span><span class=\"synSpecial\">(<\/span>RVAL<span class=\"synSpecial\">)<\/span> <span class=\"synStatement\">&lt;-<\/span> <span class=\"synConstant\">\"htest\"<\/span>\n<span class=\"synStatement\">return<\/span><span class=\"synSpecial\">(<\/span>RVAL<span class=\"synSpecial\">)<\/span>\n<span class=\"synSpecial\">}<\/span>\n<span class=\"synIdentifier\">non.inferiority.mean<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">46<\/span><span class=\"synSpecial\">,<\/span> xbarA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">34.5<\/span><span class=\"synSpecial\">,<\/span> sdA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">32.02<\/span><span class=\"synSpecial\">,<\/span>\nnB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">44<\/span><span class=\"synSpecial\">,<\/span> xbarB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">29.7<\/span><span class=\"synSpecial\">,<\/span> sdB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">28.42<\/span><span class=\"synSpecial\">,<\/span> Delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">7<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3002<\/p>\n\n\n\n<p>\u5e73\u5747\u306e\u5dee\u306f4.8\u3067\u3001\u3053\u308c\u306f\u3069\u3093\u306a\u306b\u60aa\u304f\u3066\u3082-7\u3088\u308a\u306f\u5c0f\u3055\u304f\u306f\u306a\u3089\u306a\u3044\u306f\u305a\u3001\u3068\u3044\u3046\u306e\u304c\u8a3c\u660e\u3057\u305f\u3044\u4eee\u8aac\u3060\u3002<\/p>\n\n\n\n<p>\u8a08\u7b97\u7d50\u679c\u3001\u7247\u5074p\u5024\u306f0.034\u3067\u3001\u6709\u610f\u6c34\u6e96\u7247\u50745\uff05\u3068\u3059\u308b\u3068\u7d71\u8a08\u5b66\u7684\u6709\u610f\u3002<\/p>\n\n\n\n<p>90%\u4fe1\u983c\u533a\u9593\uff08\u7247\u50745\uff05\uff09\u306e\u4e0b\u9650\u306f-5.8\u3067\u3001-7\u3088\u308a\u5927\u304d\u3044\u305f\u3081\u3001\u6700\u60aa\u3067\u3082-7\u3088\u308a\u306f\u60aa\u304f\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u975e\u52a3\u6027\u304c\u8a3c\u660e\u3055\u308c\u305f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synStatement\">&gt;<\/span> <span class=\"synIdentifier\">non.inferiority.mean<\/span><span class=\"synSpecial\">(<\/span>nA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">46<\/span><span class=\"synSpecial\">,<\/span> xbarA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">34.5<\/span><span class=\"synSpecial\">,<\/span> sdA<span class=\"synStatement\">=<\/span><span class=\"synConstant\">32.02<\/span><span class=\"synSpecial\">,<\/span> nB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">44<\/span><span class=\"synSpecial\">,<\/span> xbarB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">29.7<\/span><span class=\"synSpecial\">,<\/span> sdB<span class=\"synStatement\">=<\/span><span class=\"synConstant\">28.42<\/span><span class=\"synSpecial\">,<\/span> Delta<span class=\"synStatement\">=<\/span><span class=\"synConstant\">7<\/span><span class=\"synSpecial\">)<\/span>\nNon<span class=\"synStatement\">-<\/span>inferiority <span class=\"synIdentifier\">test <\/span><span class=\"synSpecial\">(<\/span>Mean<span class=\"synSpecial\">)<\/span>\ndata<span class=\"synSpecial\">:<\/span>\nN_A <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">46<\/span><span class=\"synSpecial\">,<\/span> Mean_A <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">34.5<\/span><span class=\"synSpecial\">,<\/span> SD_A <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">32.02<\/span>\nN_B <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">44<\/span><span class=\"synSpecial\">,<\/span> Mean_B <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">29.7<\/span><span class=\"synSpecial\">,<\/span> SD_B <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">28.42<\/span>\nDelta <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">7<\/span>\n<span class=\"synConstant\">T<\/span> <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">1.8459<\/span><span class=\"synSpecial\">,<\/span> df <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">88<\/span><span class=\"synSpecial\">,<\/span> p<span class=\"synStatement\">-<\/span>value <span class=\"synStatement\">=<\/span> <span class=\"synConstant\">0.03413<\/span>\n<span class=\"synConstant\">90<\/span> percent confidence interval<span class=\"synSpecial\">:<\/span>\n<span class=\"synStatement\">-<\/span><span class=\"synConstant\">5.826446<\/span> <span class=\"synConstant\">15.426446<\/span>\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"R-\u306e-TOSTER-\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u305f\u65b9\u6cd5tsum_TOST-\u95a2\u6570\">R \u306e TOSTER \u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u4f7f\u3063\u305f\u65b9\u6cd5\uff08tsum_TOST \u95a2\u6570\uff09<\/h3>\n\n\n\n<p>R \u306e TOSTER \u30d1\u30c3\u30b1\u30fc\u30b8\u306e tsum_TOST \u3092\u4f7f\u3046\u3068\u3001\u540c\u3058\u8a08\u7b97\u304c\u7c21\u5358\u306b\u3067\u304d\u308b<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><span class=\"synIdentifier\">install.packages<\/span><span class=\"synSpecial\">(<\/span><span class=\"synConstant\">\"TOSTER\"<\/span><span class=\"synSpecial\">)<\/span> <span class=\"synComment\"># \u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u306f 1 \u56de\u3060\u3051\u5b9f\u884c<\/span>\n<span class=\"synPreProc\">library<\/span><span class=\"synSpecial\">(<\/span>TOSTER<span class=\"synSpecial\">)<\/span>\n<span class=\"synIdentifier\">tsum_TOST<\/span><span class=\"synSpecial\">(<\/span>m1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">34.5<\/span><span class=\"synSpecial\">,<\/span> sd1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">32.02<\/span><span class=\"synSpecial\">,<\/span> n1<span class=\"synStatement\">=<\/span><span class=\"synConstant\">46<\/span><span class=\"synSpecial\">,<\/span>\nm2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">29.7<\/span><span class=\"synSpecial\">,<\/span> sd2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">28.42<\/span><span class=\"synSpecial\">,<\/span> n2<span class=\"synStatement\">=<\/span><span class=\"synConstant\">44<\/span><span class=\"synSpecial\">,<\/span> eqb<span class=\"synStatement\">=-<\/span><span class=\"synConstant\">7<\/span><span class=\"synSpecial\">)<\/span>\n<\/code><\/pre>\n\n\n\n<p>\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u793a\u3055\u308c\u308b<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"869\" height=\"501\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20231203124658.png\" alt=\"\" class=\"wp-image-2969\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20231203124658.png 869w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20231203124658-300x173.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2018\/07\/20231203124658-768x443.png 768w\" sizes=\"(max-width: 869px) 100vw, 869px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>TOST Lower \u306e p.value \u304c\u7247\u5074 p \u5024\u3067\u3042\u308b<\/p>\n\n\n\n<p>Effect Sizes \u306e Raw \u884c\u306e C.I. \u4e0b\u9650\u5024\u304c \u7247\u5074 5 \uff05 \u306e\u4e0b\u9650\u5024\u3067\u3042\u308b<\/p>\n\n\n\n<p>\u3068\u3082\u306b\u3001\u4e0a\u8a18\u306e\u8a08\u7b97\u3068\u4e00\u81f4\u3057\u3066\u3044\u308b\uff08\u4e0b\u9650\u5024\u306f\u5c11\u3057\u305a\u308c\u3066\u3044\u308b\u3002\u8a08\u7b97\u5f0f\u9055\u3044\u306e\u305f\u3081\u3068\u601d\u308f\u308c\u308b\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u975e\u52a3\u6027\u691c\u5b9a\u5e73\u5747\u5024\u306e\u5834\u5408\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\">\u975e\u52a3\u6027\u691c\u5b9a\u3000\u5e73\u5747\u5024\u306e\u5834\u5408\u3000\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f<\/h3>\n\n\n\n<p>\u5e73\u5747\u5024\u306e\u975e\u52a3\u6027\u691c\u5b9a\u3092\u8a08\u7b97\u3059\u308b\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3092\u4f5c\u3063\u305f\u306e\u3067\u3001\u3088\u3051\u308c\u3070\u3069\u3046\u305e\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/happyhappygk.base.ec\/items\/53478652\">\u5e73\u5747\u5024\u306e\u975e\u52a3\u6027\u691c\u5b9a \u8a08\u7b97\u6a5f\u3010\u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f\u3011 | TKER SHOP<\/a><\/p>\n\n\n\n<p>\u4f7f\u3044\u65b9\u89e3\u8aac\u52d5\u753b\u3082\u3001\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\/cF9P1NbJrz8?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=\"\u5e73\u5747\u5024\u306e\u975e\u52a3\u6027\u691c\u5b9a \u30a8\u30af\u30bb\u30eb\u8a08\u7b97\u6a5f \u4f7f\u3044\u65b9\u89e3\u8aac\"><\/iframe><cite class=\"hatena-citation\"><a href=\"https:\/\/youtu.be\/cF9P1NbJrz8\">youtu.be<\/a><\/cite><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u975e\u52a3\u6027\u691c\u5b9a\u3092\u5272\u5408\u306e\u5834\u5408\u3068\u5e73\u5747\u5024\u306e\u5834\u5408\u306b\u5206\u3051\u3066\u7d39\u4ecb\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5272\u5408\u306e\u5834\u5408\u306f\u6700\u5c24\u63a8\u5b9a\u91cf\u306e\u57fa\u3065\u304f\u65b9\u6cd5\u304c\u30d9\u30bf\u30fc\u3060\u3002<\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u691c\u5b9a\u306f\u3001\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u306e\u8a2d\u5b9a\u304c\u554f\u984c\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u975e\u52a3\u6027\u30de\u30fc\u30b8\u30f3\u304c\u9069\u5207\u306b\u8a2d\u5b9a\u3055\u308c\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u9069\u5207\u306b\u898b\u7a4d\u3082\u3089\u308c\u3066\u306f\u3058\u3081\u3066\u3001\u975e\u52a3\u6027\u691c\u5b9a\u304c\u610f\u5473\u3092\u6210\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u66f8\u7c4d\">\u53c2\u8003\u66f8\u7c4d<\/h2>\n\n\n\n<p>\u4e39\u5f8c\u4fca\u90ce\u8457\u3000\u7121\u4f5c\u70ba\u5316\u6bd4\u8f03\u8a66\u9a13\u3000\u671d\u5009\u66f8\u5e97<br>6. \u975e\u52a3\u6027\u306e\u8a55\u4fa1<\/p>\n\n\n\n<figure class=\"wp-block-image\"><a class=\"hatena-asin-detail-image-link\" href=\"https:\/\/www.amazon.co.jp\/dp\/4254128819?tag=ttyotani-22&amp;linkCode=ogi&amp;th=1&amp;psc=1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/m.media-amazon.com\/images\/I\/4186QT-wWkL._SL500_.jpg\" alt=\"\u65b0\u7248 \u7121\u4f5c\u70ba\u5316\u6bd4\u8f03\u8a66\u9a13 \u2015\u30c7\u30b6\u30a4\u30f3\u3068\u7d71\u8a08\u89e3\u6790\u2015 (\u533b\u5b66\u7d71\u8a08\u5b66\u30b7\u30ea\u30fc\u30ba5)\" title=\"\u65b0\u7248 \u7121\u4f5c\u70ba\u5316\u6bd4\u8f03\u8a66\u9a13 \u2015\u30c7\u30b6\u30a4\u30f3\u3068\u7d71\u8a08\u89e3\u6790\u2015 (\u533b\u5b66\u7d71\u8a08\u5b66\u30b7\u30ea\u30fc\u30ba5)\"\/><\/a><\/figure>\n\n\n\n<div class=\"hatena-asin-detail\"><\/div>\n\n\n\n<div class=\"hatena-asin-detail-info\">\n<p class=\"hatena-asin-detail-title\"><a href=\"https:\/\/www.amazon.co.jp\/dp\/4254128819?tag=ttyotani-22&amp;linkCode=ogi&amp;th=1&amp;psc=1\" target=\"_blank\" rel=\"noopener\">\u65b0\u7248 \u7121\u4f5c\u70ba\u5316\u6bd4\u8f03\u8a66\u9a13 \u2015\u30c7\u30b6\u30a4\u30f3\u3068\u7d71\u8a08\u89e3\u6790\u2015 (\u533b\u5b66\u7d71\u8a08\u5b66\u30b7\u30ea\u30fc\u30ba5)<\/a><\/p>\n<ul class=\"hatena-asin-detail-meta\">\n<li><span class=\"hatena-asin-detail-label\">\u4f5c\u8005:<\/span><a href=\"https:\/\/d.hatena.ne.jp\/keyword\/%C3%B0%B8%E5%20%BD%D3%CF%BA\" class=\"keyword\">\u4e39\u5f8c \u4fca\u90ce<\/a><\/li>\n<li>\u671d\u5009\u66f8\u5e97<\/li>\n<\/ul>\n<p><a href=\"https:\/\/www.amazon.co.jp\/dp\/4254128819?tag=ttyotani-22&amp;linkCode=ogi&amp;th=1&amp;psc=1\" class=\"asin-detail-buy\" target=\"_blank\" rel=\"noopener\">Amazon<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3044\u307e\u307e\u3067\u306e\u65b9\u6cd5\u3068\u6bd4\u3079\u3066\u3001\u683c\u6bb5\u306b\u3044\u3044\u3068\u304b\u3001\u969b\u7acb\u3063\u3066\u3044\u3044\u3068\u304b\u3001\u3058\u3083\u306a\u304f\u3066\u3082\u3044\u3044\u5834\u5408\u304c\u3042\u308b\u3002 \u30c0\u30e1\u3058\u3083\u306a\u3051\u308c\u3070\u3044\u3044\u3002 \u52a3\u3063\u3066\u3044\u306a\u3051\u308c\u3070\u3044\u3044\u3002 \u52a3\u3063\u3066\u3044\u306a\u3051\u308c\u3070\u3044\u3044\u3068\u3044\u3046\u691c\u5b9a\u65b9\u6cd5\u304c\u3001\u975e\u52a3\u6027\uff08\u3072\u308c\u3063\u305b\u3044\uff09\u691c\u5b9a\u3060\u3002 \u3058\u3083\u3001\u3069\u3046\u3044\u3046\u3068 [&hellip;]<\/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":[5,35,30,84,133],"tags":[],"class_list":["post-540","post","type-post","status-publish","format-standard","hentry","category-r","category-t-","category-30","category-84","category-133"],"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\/540","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=540"}],"version-history":[{"count":3,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/540\/revisions"}],"predecessor-version":[{"id":2972,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/540\/revisions\/2972"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=540"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}