{"id":1623,"date":"2023-07-25T14:55:46","date_gmt":"2023-07-25T14:55:46","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e4%ba%8c%e9%a0%85%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93-r\/"},"modified":"2023-07-25T14:55:46","modified_gmt":"2023-07-25T14:55:46","slug":"%e4%ba%8c%e9%a0%85%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e4%ba%8c%e9%a0%85%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93-r\/","title":{"rendered":"R \u3067\u4e8c\u9805\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u4e8c\u9805\u78ba\u7387\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001<\/strong>\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = p<\/strong> <strong>+\/- z*(\u221a <span style=\"text-decoration: overline;\">p(1-p) \/ n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\uff1a<\/strong> \u300c\u6210\u529f\u300d\u306e\u5272\u5408<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>z:<\/strong>\u9078\u629e\u3055\u308c\u305f Z \u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u3059\u308b Z \u5024\u306f\u3001\u9078\u629e\u3057\u305f\u4fe1\u983c\u30ec\u30d9\u30eb\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u6b21\u306e\u8868\u306f\u3001\u6700\u3082\u4e00\u822c\u7684\u306a\u4fe1\u983c\u6c34\u6e96\u306e\u9078\u629e\u80a2\u306b\u5bfe\u5fdc\u3059\u308b Z \u5024\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u81ea\u4fe1\u306e\u30ec\u30d9\u30eb<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>Z\u5024<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">0.90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1,645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u7279\u5b9a\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u306e\u4f4f\u6c11\u306e\u5272\u5408\u3092\u63a8\u5b9a\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002 100 \u4eba\u306e\u4f4f\u6c11\u304b\u3089\u7121\u4f5c\u70ba\u306b\u30b5\u30f3\u30d7\u30eb\u3092\u9078\u629e\u3057\u305f\u3068\u3053\u308d\u3001\u305d\u306e\u3046\u3061 56 \u4eba\u304c\u3053\u306e\u6cd5\u5f8b\u306b\u8cdb\u6210\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u5168\u4f53\u306e\u4f4f\u6c11\u306e\u771f\u306e\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b 3 \u3064\u306e\u7570\u306a\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd5 1: prop.test() \u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4e8c\u9805 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b 1 \u3064\u306e\u65b9\u6cd5\u306f\u3001\u57fa\u6570 R \u3067<strong>prop.test()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate 95% confidence interval\n<\/span>prop. <span style=\"color: #3366ff;\">test<\/span> (x=56, n=100, conf. <span style=\"color: #3366ff;\">level<\/span> =.95, correct= <span style=\"color: #008000;\">FALSE<\/span> )\n\n\n\t1-sample proportions test without continuity correction\n\ndata: 56 out of 100, null probability 0.5\nX-squared = 1.44, df = 1, p-value = 0.2301\nalternative hypothesis: true p is not equal to 0.5\n95 percent confidence interval:\n 0.4622810 0.6532797\nsample estimates:\n   p \n0.56 \n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90e1\u4f4f\u6c11\u306e\u5b9f\u969b\u306e\u5272\u5408\u306e 95% CI \u306f<strong>[.46228, .65328]<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<h3><strong><span style=\"color: #000000;\">\u65b9\u6cd5 2: binconf() \u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b<\/span><\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u5225\u306e\u65b9\u6cd5\u306f\u3001 <strong>Hmisc<\/strong>\u30d1\u30c3\u30b1\u30fc\u30b8\u306e<strong>binconf()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (Hmisc)<\/span>\n\n#calculate 95% confidence interval\n<\/span>binconf(x=56, n=100, alpha=.05)\n\n PointEast Lower Upper\n     0.56 0.462281 0.6532797\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u524d\u306e\u4f8b\u3067\u8a08\u7b97\u3055\u308c\u305f\u4fe1\u983c\u533a\u9593\u306b\u5bfe\u5fdc\u3059\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65b9\u6cd5 3: \u4fe1\u983c\u533a\u9593\u3092\u624b\u52d5\u3067\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">R \u306e\u4e8c\u9805 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u5225\u306e\u65b9\u6cd5\u306f\u3001\u624b\u52d5\u3067\u884c\u3046\u3053\u3068\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define proportion\n<\/span>p &lt;- 56\/100\n\n<span style=\"color: #008080;\">#define significance level\n<\/span>a &lt;- .05\n\n<span style=\"color: #008080;\">#calculate 95% confidence interval\n<\/span>p + c(- <span style=\"color: #3366ff;\">qnorm<\/span> (1-a\/2), <span style=\"color: #3366ff;\">qnorm<\/span> (1-a\/2))* <span style=\"color: #3366ff;\">sqrt<\/span> ((1\/100)*p*(1-p))\n\n[1] 0.4627099 0.6572901<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>qnorm()<\/strong>\u95a2\u6570\u306e\u8a73\u7d30\u306b\u3064\u3044\u3066\u306f\u3001\u3053\u3061\u3089\u3092\u3054\u89a7\u304f\u3060\u3055\u3044: <a href=\"https:\/\/statorials.org\/ja\/dnorm-pnorm-rnorm-qnorm-in-r\/\">R \u306e dnorm\u3001pnorm\u3001qnorm\u3001\u304a\u3088\u3073 rnorm \u306e\u30ac\u30a4\u30c9<\/a><\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u4e8c\u9805\u691c\u5b9a-r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u4e8c\u9805\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u4e8c\u9805\u5206\u5e03-r-\u3092\u30d5\u309a\u30ed\u30c3\u30c8\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u4e8c\u9805\u5206\u5e03\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u9805\u78ba\u7387\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002 \u4fe1\u983c\u533a\u9593 = p +\/- z*(\u221a p(1-p) \/ n ) \u91d1\uff1a p\uff1a \u300c\u6210\u529f\u300d\u306e\u5272\u5408 z:\u9078\u629e\u3055\u308c\u305f Z \u5024 n:\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba \u4f7f\u7528\u3059\u308b Z \u5024\u306f\u3001\u9078\u629e\u3057\u305f\u4fe1\u983c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1623","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R \u3067\u4e8c\u9805\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u4e8c\u9805\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u3044\u304f\u3064\u304b\u306e\u4f8b\u3068\u3068\u3082\u306b\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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