{"id":13,"date":"2024-07-28T10:53:29","date_gmt":"2024-07-28T01:53:29","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-analyze-cross-over-trial-data-in-ezr\/"},"modified":"2024-08-25T20:07:31","modified_gmt":"2024-08-25T11:07:31","slug":"how-to-analyze-cross-over-trial-data-in-ezr","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-analyze-cross-over-trial-data-in-ezr\/","title":{"rendered":"EZR \u3067\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u30c7\u30fc\u30bf\u3092\u89e3\u6790\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306f\u3001\u4e00\u4eba\u306e\u75c7\u4f8b\u304c\u8907\u6570\u306e\u4ecb\u5165\u3092\u53d7\u3051\u308b\u3053\u3068\u3067\u3001\u4e26\u884c\u7fa4\u9593\u8a66\u9a13\u3088\u308a\u3082\u52b9\u7387\u3088\u304f\u884c\u3048\u308b\u8a66\u9a13<\/p>\n\n\n\n<p>EZR \u3067\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u30c7\u30fc\u30bf\u3092\u89e3\u6790\u3059\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3059\u308b<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u3068\u306f\">\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u3068\u306f<\/h2>\n\n\n\n<p>\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u3068\u306f\u3001\u4ecb\u5165 A \u3068\u4ecb\u5165 B \u306e\u4e21\u65b9\u3092\u540c\u3058\u88ab\u9a13\u8005\u3067\u884c\u3046\u65b9\u6cd5\u3067\u3042\u308b<\/p>\n\n\n\n<p>\u305d\u306e\u969b\u306b\u3001A \u3092\u5148\u306b\u884c\u3044\u3001\u6b21\u306b B \u3092\u884c\u3046\u30b0\u30eb\u30fc\u30d7\u3068\u3001B \u3092\u5148\u306b\u884c\u3044\u3001\u6b21\u306e A \u3092\u884c\u3046\u30b0\u30eb\u30fc\u30d7\u3092\u8a2d\u5b9a\u3059\u308b<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"601\" height=\"221\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728102350.png\" alt=\"\" class=\"wp-image-655\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728102350.png 601w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728102350-300x110.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>A \u304c\u65bd\u3055\u308c\u3066\u3044\u308b\u30b0\u30eb\u30fc\u30d7\u30fb\u6642\u70b9\u3068\u3001B \u304c\u65bd\u3055\u308c\u3066\u3044\u308b\u30b0\u30eb\u30fc\u30d7\u30fb\u6642\u70b9\u304c\u3001\u56f3\u306e\u3088\u3046\u306b\u4ea4\u5dee\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u898b\u3048\u308b\u305f\u3081\u3001\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u3068\u547c\u3070\u308c\u308b<\/p>\n\n\n\n<p>\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u306e\u539f\u7fa9\u306f\u3001\u300c\u5883\u754c\u7dda\u3092\u8d8a\u3048\u3066\u4ea4\u308f\u308b\u300d\u3053\u3068\u306a\u306e\u3067\u3001\u5b9f\u969b\u306b\u30af\u30ed\u30b9\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u3088\u308a\u3082\u3001A \u306e\u4ecb\u5165\u306e\u5f8c B \u306b\u306a\u308b\u3001\u3082\u3057\u304f\u306f\u3001B \u306e\u4ecb\u5165\u5f8c A \u306b\u306a\u308b\u3068\u3044\u3046\u3075\u3046\u306b\u3001\u4e8c\u3064\u306e\u4ecb\u5165\u304c\u540c\u3058\u4eba\u306b\u65bd\u3055\u308c\u3066\u4ea4\u308f\u308b\u3001\u305d\u308c\u3082\u5168\u54e1\u304c\u540c\u3058\u9806\u756a\u3067\u306f\u306a\u304f\u3001\u9806\u756a\u304c\u9006\u306e\u4eba\u3082\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u3066\u4ea4\u308f\u308b\u3068\u3044\u3046\u3075\u3046\u306b\u7406\u89e3\u3059\u308b\u3068\u3088\u3044\u3060\u308d\u3046<\/p>\n\n\n\n<p>\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u306f\u3001\u4ee5\u4e0b\u3092\u53c2\u7167<\/p>\n\n\n<div class=\"swell-block-postLink\">\t\t\t<div class=\"p-blogCard -internal\" data-type=\"type1\" data-onclick=\"clickLink\">\n\t\t\t\t<div class=\"p-blogCard__inner\">\n\t\t\t\t\t<span class=\"p-blogCard__caption\">\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t<div class=\"p-blogCard__thumb c-postThumb\"><figure class=\"c-postThumb__figure\"><img decoding=\"async\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/08\/1920x1080-video-Excel-300x169.jpg\" alt=\"\" class=\"c-postThumb__img u-obf-cover\" width=\"320\" height=\"180\"><\/figure><\/div>\t\t\t\t\t<div class=\"p-blogCard__body\">\n\t\t\t\t\t\t<a class=\"p-blogCard__title\" href=\"https:\/\/best-biostatistics.com\/toukei-er\/entry\/how-to-determine-sample-size-in-cross-over-trial\/\">R \u3067\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306b\u5fc5\u8981\u306a\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a>\n\t\t\t\t\t\t<span class=\"p-blogCard__excerpt\">\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u8a08\u7b97\u3092 R \u3067\u884c\u3046\u65b9\u6cd5 \u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u3068\u306f \u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u3068\u306f\u3001\u4e8c\u7fa4\u3069\u3061\u3089\u306b\u3082\u4e8c\u3064\u306e\u4ecb\u5165\u3092\u53d7\u3051\u3066\u3082\u3089\u3046\u8a66\u9a13\u3002 \u5f93\u6765\u306e\u85ac\u3068&#8230;<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306e\u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf\">\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306e\u30b5\u30f3\u30d7\u30eb\u30c7\u30fc\u30bf<\/h2>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u516c\u958b\u3055\u308c\u3066\u3044\u308b <a href=\"https:\/\/toyama.repo.nii.ac.jp\/record\/15569\/files\/yakuritochiryou_44%289%29_1261to1276_origasa.pdf\">\u6298\u7b20 2016 \u8ad6\u6587<\/a> \u306e\u30c7\u30fc\u30bf\u3092\u57fa\u306b\u3001\u8a08\u7b97\u3092\u518d\u73fe\u3057\u3066\u307f\u308b<\/p>\n\n\n\n<p>\u30c7\u30fc\u30bf\u4e00\u89a7\u306f\u3001\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3042\u308b<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"372\" height=\"886\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144402.png\" alt=\"\" class=\"wp-image-648\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144402.png 372w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144402-126x300.png 126w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n\n\n\n\n<div id=\"biost-2626931530\" 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=\"EZR-\u3067\u306e\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u65b9\u6cd5\">EZR \u3067\u306e\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u30c7\u30fc\u30bf\u306e\u89e3\u6790\u65b9\u6cd5<\/h2>\n\n\n\n<p>\u30e1\u30cb\u30e5\u30fc\u306f\u3001\u7d71\u8a08\u89e3\u6790 \u2192 \u9023\u7d9a\u5909\u6570\u306e\u89e3\u6790 \u2192 \u7dda\u5f62\u6df7\u5408\u52b9\u679c\u30e2\u30c7\u30eb \u3092\u7528\u3044\u308b<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"771\" height=\"498\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144526.png\" alt=\"\" class=\"wp-image-649\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144526.png 771w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144526-300x194.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144526-768x496.png 768w\" sizes=\"(max-width: 771px) 100vw, 771px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u30e2\u30c7\u30eb\u5f0f\u306e\u5165\u529b\u4f8b\">\u30e2\u30c7\u30eb\u5f0f\u306e\u5165\u529b\u4f8b<\/h3>\n\n\n\n<p>\u500b\u4eba\u5225\u5207\u7247\u3092\u5909\u91cf\u52b9\u679c\u306b\u5165\u308c\u308b\u3001\u901a\u5e38\u306e\u6df7\u5408\u30e2\u30c7\u30eb\u3068\u9055\u3063\u3066\u3001\u500b\u4eba\u8b58\u5225\uff08Subject\uff09\u3068\u9806\u756a\uff08Sequence\uff09\u3092\u5909\u91cf\u52b9\u679c\u3068\u3057\u3066\u7528\u3044\u308b<\/p>\n\n\n\n<p>Subject \u3068 Sequence \u304c\u300c\u5165\u308c\u5b50\uff08Subject \u4e00\u4eba\u4e00\u4eba\u306b Sequence 1, 2 \u3082\u3057\u304f\u306f 2,1 \u304c\u542b\u307e\u308c\u308b\u3068\u3044\u3046\u610f\u5473\uff09\u300d\u306b\u306a\u3063\u3066\u3044\u308b\u90e8\u5206\u306e\u5165\u529b\u65b9\u6cd5\u306b\u6ce8\u76ee<\/p>\n\n\n\n<p>\u3053\u306e\u5165\u308c\u5b50\uff08Nested \u3068\u3082\u8a00\u3046\uff09\u306f\u3001 (1| Subject \/ Sequence) \u3068\u8868\u73fe\u3059\u308b\uff08Subject \u3068 Sequence \u306e\u9593\u306f\u30b9\u30e9\u30c3\u30b7\u30e5\u8a18\u53f7\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"954\" height=\"614\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144643.png\" alt=\"\" class=\"wp-image-650\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144643.png 954w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144643-300x193.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144643-768x494.png 768w\" sizes=\"(max-width: 954px) 100vw, 954px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>OK \u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001\u5b9f\u884c\u3057\u305f\u5f8c\u306b\u3001R \u30b9\u30af\u30ea\u30d7\u30c8\u306e\u4e00\u90e8\u3092\u629c\u304d\u51fa\u3059\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u3044\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">res <span class=\"synStatement\">&lt;-<\/span> <span class=\"synIdentifier\">lmer<\/span><span class=\"synSpecial\">(<\/span>FEV1 <span class=\"synStatement\">~<\/span> Treatment <span class=\"synStatement\">+<\/span> Sequence <span class=\"synStatement\">+<\/span> Period <span class=\"synStatement\">+<\/span> <span class=\"synSpecial\">(<\/span><span class=\"synConstant\">1<\/span><span class=\"synStatement\">|<\/span>Subject <span class=\"synStatement\">\/<\/span> Sequence<span class=\"synSpecial\">),<\/span> data<span class=\"synStatement\">=<\/span>Dataset<span class=\"synSpecial\">,<\/span> REML<span class=\"synStatement\">=<\/span><span class=\"synConstant\">TRUE<\/span><span class=\"synSpecial\">)<\/span>\n<\/pre>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"\u7d50\u679c\u306e\u78ba\u8a8d\">\u7d50\u679c\u306e\u78ba\u8a8d<\/h3>\n\n\n\n<p>P \u5024\u304c\u8ad6\u6587\u3068\u540c\u3058\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u308b\uff08\u9ec4\u8272\u30cf\u30a4\u30e9\u30a4\u30c8\uff09<\/p>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"994\" height=\"580\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144958.png\" alt=\"\" class=\"wp-image-651\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144958.png 994w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144958-300x175.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240121144958-768x448.png 768w\" sizes=\"(max-width: 994px) 100vw, 994px\" \/><\/figure>\n\n\n\n<p>\u8ad6\u6587\u306e\u8a18\u8f09\u306f\u4ee5\u4e0b\u306e\u3068\u304a\u308a\uff08\u9ec4\u8272\u30cf\u30a4\u30e9\u30a4\u30c8\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"807\" height=\"567\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104402.png\" alt=\"\" class=\"wp-image-652\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104402.png 807w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104402-300x211.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104402-768x540.png 768w\" sizes=\"(max-width: 807px) 100vw, 807px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<p>\u8ad6\u6587\u3068\u540c\u3058\u3088\u3046\u306b\u5206\u6563\u5206\u6790\u3067\u8868\u793a\u3059\u308b\u5834\u5408\u306f\u3001Anova(res, test.statistic = &#8220;F&#8221;) \u3068\u66f8\u3044\u3066\u5b9f\u884c\u3059\u308b\u3068\u8868\u793a\u3055\u308c\u308b\uff08\u7dd1\u30cf\u30a4\u30e9\u30a4\u30c8\uff09<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"821\" height=\"235\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104440.png\" alt=\"\" class=\"wp-image-653\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104440.png 821w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104440-300x86.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/07\/20240728104440-768x220.png 768w\" sizes=\"(max-width: 821px) 100vw, 821px\" 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href=\"https:\/\/cran.r-project.org\/web\/packages\/lme4\/vignettes\/lmer.pdf\">Fitting Linear Mixed-Effects Models Using lme4<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30af\u30ed\u30b9\u30aa\u30fc\u30d0\u30fc\u8a66\u9a13\u306f\u3001\u4e00\u4eba\u306e\u75c7\u4f8b\u304c\u8907\u6570\u306e\u4ecb\u5165\u3092\u53d7\u3051\u308b\u3053\u3068\u3067\u3001\u4e26\u884c\u7fa4\u9593\u8a66\u9a13\u3088\u308a\u3082\u52b9\u7387\u3088\u304f\u884c\u3048\u308b\u8a66\u9a13 EZR 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