{"id":1221,"date":"2023-07-27T05:49:03","date_gmt":"2023-07-27T05:49:03","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e6%a8%99%e6%9c%ac%e5%88%86%e5%b8%83\/"},"modified":"2023-07-27T05:49:03","modified_gmt":"2023-07-27T05:49:03","slug":"r-%e3%81%ae%e6%a8%99%e6%9c%ac%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e6%a8%99%e6%9c%ac%e5%88%86%e5%b8%83\/","title":{"rendered":"R \u3067\u6a19\u672c\u5206\u5e03\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u6a19\u672c\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6a19\u672c\u5206\u5e03\u306f\u3001<\/a>\u5358\u4e00\u6bcd\u96c6\u56e3\u304b\u3089\u306e\u591a\u6570\u306e\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb\u306b\u57fa\u3065\u304f\u7279\u5b9a\u306e<a href=\"https:\/\/statorials.org\/ja\/\u7d71\u8a08\u3068\u30cf\u309a\u30e9\u30e1\u30fc\u30bf\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7d71\u8a08\u91cf<\/a>\u306e\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u6b21\u306e\u3053\u3068\u3092\u884c\u3046\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6a19\u672c\u5206\u5e03\u3092\u751f\u6210\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a19\u672c\u5206\u5e03\u3092\u8996\u899a\u5316\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a19\u672c\u5206\u5e03\u306e\u5e73\u5747\u5024\u3068\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a19\u672c\u5206\u5e03\u306b\u95a2\u3059\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>R \u3067\u6a19\u672c\u5206\u5e03\u3092\u751f\u6210\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001R \u3067\u6a19\u672c\u5206\u5e03\u3092\u751f\u6210\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set.seed(0)\n\n<span style=\"color: #008080;\">#define number of samples\n<\/span>n = 10000\n\n<span style=\"color: #008080;\">#create empty vector of length n\n<\/span>sample_means = <span style=\"color: #3366ff;\">rep<\/span> (NA, n)\n\n<span style=\"color: #008080;\">#fill empty vector with means\n<\/span><span style=\"color: #008000;\">for<\/span> (i <span style=\"color: #008000;\">in<\/span> 1:n){\n  sample_means[i] = <span style=\"color: #3366ff;\">mean<\/span> ( <span style=\"color: #3366ff;\">rnorm<\/span> (20, mean=5.3, sd=9))\n}\n\n<span style=\"color: #008080;\">#view first six sample means\n<\/span>head(sample_means)\n\n[1] 5.283992 6.304845 4.259583 3.915274 7.756386 4.532656\n<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u3067\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/dnorm-pnorm-rnorm-qnorm-in-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">rnorm()<\/a>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u5404\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u304c 20 \u3067\u3001\u5e73\u5747 5.3\u3001\u6a19\u6e96\u504f\u5dee 9 \u306e\u6b63\u898f\u5206\u5e03\u304b\u3089\u751f\u6210\u3055\u308c\u305f 10,000 \u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u3092\u8a08\u7b97\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u521d\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u306f 5.283992\u30012 \u756a\u76ee\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u306f 6.304845 \u306a\u3069\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6a19\u672c\u5206\u5e03\u3092\u8996\u899a\u5316\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u6a19\u672c\u5206\u5e03\u3092\u8996\u899a\u5316\u3059\u308b\u305f\u3081\u306e\u5358\u7d14\u306a\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#create histogram to visualize the sampling distribution<\/span>\nhist(sample_means, main = \"\", xlab = \" <span style=\"color: #008000;\">Sample Means<\/span> \", col = \" <span style=\"color: #008000;\">steelblue<\/span> \")\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12122 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/echantillonnagemoyenne1.png\" alt=\"R \u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\" width=\"435\" height=\"407\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6a19\u672c\u5206\u5e03\u306f\u5024 5 \u4ed8\u8fd1\u306b\u30d4\u30fc\u30af\u3092\u6301\u3064\u91e3\u9418\u578b\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3060\u3057\u3001\u5206\u5e03\u306e\u88fe\u304b\u3089\u3001\u4e00\u90e8\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u5024\u306f 10 \u3092\u8d85\u3048\u3001\u4ed6\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5e73\u5747\u5024\u306f 0 \u672a\u6e80\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5e73\u5747\u3068\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u6a19\u672c\u5206\u5e03\u306e\u5e73\u5747\u5024\u3068\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#mean of sampling distribution<\/span>\nmean(sample_means)\n\n[1] 5.287195\n\n<span style=\"color: #008080;\">#standard deviation of sampling distribution\n<\/span>sd(sample_means)\n\n[1] 2.00224<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u7406\u8ad6\u7684\u306b\u306f\u3001\u6a19\u672c\u5206\u5e03\u306e\u5e73\u5747\u5024\u306f5.3\u306b\u306a\u308b\u306f\u305a\u3067\u3059\u3002\u3053\u306e\u4f8b\u306e\u5b9f\u969b\u306e\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306f<strong>5.287195<\/strong>\u3067\u30015.3 \u306b\u8fd1\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305d\u3057\u3066\u7406\u8ad6\u7684\u306b\u306f\u3001\u6a19\u672c\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee\u306f s\/\u221an \u306b\u7b49\u3057\u3044\u306f\u305a\u3067\u30019 \/ \u221a20 = 2.012 \u3068\u306a\u308a\u307e\u3059\u3002\u6a19\u672c\u5206\u5e03\u306e\u5b9f\u969b\u306e\u6a19\u6e96\u504f\u5dee\u306f<strong>2.00224<\/strong>\u3067\u30012.012 \u306b\u8fd1\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u6bcd\u5e73\u5747\u3001\u6bcd\u6a19\u6e96\u504f\u5dee\u3001\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u3092\u6307\u5b9a\u3057\u3066\u3001\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u306e\u7279\u5b9a\u306e\u5024\u304c\u5f97\u3089\u308c\u308b\u78ba\u7387\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#calculate probability that sample mean is less than or equal to 6<\/span>\nsum(sample_means &lt;= 6) \/ length(sample_means)\n<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u7279\u5b9a\u306e\u4f8b\u3067\u306f\u3001\u6bcd\u96c6\u56e3\u5e73\u5747\u304c 5.3\u3001\u6bcd\u96c6\u56e3\u6a19\u6e96\u504f\u5dee\u304c 9\u3001\u6a19\u672c\u30b5\u30a4\u30ba 20 \u304c<strong>0.6417<\/strong>\u3067\u3042\u308b\u3053\u3068\u3092\u8003\u616e\u3057\u3066\u3001\u6a19\u672c\u5e73\u5747\u304c 6 \u4ee5\u4e0b\u3067\u3042\u308b\u78ba\u7387\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u5206\u5e03\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener noreferrer\">Sampling Distribution Calculator<\/a>\u3067\u8a08\u7b97\u3055\u308c\u305f\u78ba\u7387\u306b\u975e\u5e38\u306b\u8fd1\u3044\u3067\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12123 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/echantillonnagemoyenne2.png\" alt=\"\u6a19\u672c\u5206\u5e03\u306e\u8a08\u7b97\" width=\"358\" height=\"550\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5b8c\u5168\u306a\u30b3\u30fc\u30c9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u3053\u306e\u4f8b\u3067\u4f7f\u7528\u3055\u308c\u308b\u5b8c\u5168\u306a R \u30b3\u30fc\u30c9\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set.seed(0)\n\n<span style=\"color: #008080;\">#define number of samples\n<\/span>n = 10000\n\n<span style=\"color: #008080;\">#create empty vector of length n\n<\/span>sample_means = <span style=\"color: #3366ff;\">rep<\/span> (NA, n)\n\n<span style=\"color: #008080;\">#fill empty vector with means\n<\/span><span style=\"color: #008000;\">for<\/span> (i <span style=\"color: #008000;\">in<\/span> 1:n){\n  sample_means[i] = <span style=\"color: #3366ff;\">mean<\/span> ( <span style=\"color: #3366ff;\">rnorm<\/span> (20, mean=5.3, sd=9))\n}\n\n<span style=\"color: #008080;\">#view first six sample means\n<\/span>head(sample_means)\n\n<span style=\"color: #008080;\">#create histogram to visualize the sampling distribution\n<\/span>hist(sample_means, main = \"\", xlab = \" <span style=\"color: #008000;\">Sample Means<\/span> \", col = \" <span style=\"color: #008000;\">steelblue<\/span> \")\n\n<span style=\"color: #008080;\">#mean of sampling distribution\n<\/span>mean(sample_means)\n\n<span style=\"color: #008080;\">#standard deviation of sampling distribution\n<\/span>sd(sample_means)\n\n<span style=\"color: #008080;\">#calculate probability that sample mean is less than or equal to 6<\/span>\nsum(sample_means &lt;= 6) \/ length(sample_means)\n<\/strong><\/span><\/pre>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u6a19\u672c\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6a19\u672c\u5206\u5e03\u306e\u6982\u8981<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u5206\u5e03\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u8a08\u7b97\u6a5f<\/a><br \/> <a href=\"https:\/\/statorials.org\/ja\/\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4e2d\u5fc3\u6975\u9650\u5b9a\u7406\u306e\u6982\u8981<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6a19\u672c\u5206\u5e03\u306f\u3001\u5358\u4e00\u6bcd\u96c6\u56e3\u304b\u3089\u306e\u591a\u6570\u306e\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb\u306b\u57fa\u3065\u304f\u7279\u5b9a\u306e\u7d71\u8a08\u91cf\u306e\u78ba\u7387\u5206\u5e03\u3067\u3059\u3002 \u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u5206\u5e03\u3092\u4f7f\u7528\u3057\u3066\u6b21\u306e\u3053\u3068\u3092\u884c\u3046\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002 \u6a19\u672c\u5206\u5e03\u3092\u751f\u6210\u3057\u307e\u3059\u3002 \u6a19\u672c\u5206\u5e03\u3092\u8996\u899a [&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-1221","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\u6a19\u672c\u5206\u5e03\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/title>\n<meta name=\"description\" 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