{"id":1243,"date":"2023-07-27T04:01:05","date_gmt":"2023-07-27T04:01:05","guid":{"rendered":"https:\/\/statorials.org\/ja\/r%e3%81%ae%e5%88%86%e6%95%a3\/"},"modified":"2023-07-27T04:01:05","modified_gmt":"2023-07-27T04:01:05","slug":"r%e3%81%ae%e5%88%86%e6%95%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r%e3%81%ae%e5%88%86%e6%95%a3\/","title":{"rendered":"R \u3067\u30b5\u30f3\u30d7\u30eb\u3068\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5206\u6563\u306f<\/strong>\u3001\u30c7\u30fc\u30bf\u5024\u304c\u5e73\u5747\u306e\u5468\u56f2\u306b\u3069\u306e\u7a0b\u5ea6\u5206\u6563\u3057\u3066\u3044\u308b\u304b\u3092\u6e2c\u5b9a\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u6bcd\u96c6\u56e3\u3068\u30b5\u30f3\u30d5\u309a\u30eb-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6bcd\u96c6\u56e3<\/a>\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 (x <sub>i<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ N<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001\u03bc \u306f\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u3001x <sub>i<\/sub>\u306f\u6bcd\u96c6\u56e3\u306e i<sup>\u756a\u76ee\u306e<\/sup>\u8981\u7d20\u3001N \u306f\u6bcd\u96c6\u56e3\u306e\u30b5\u30a4\u30ba\u3001\u03a3 \u306f\u300c\u5408\u8a08\u300d\u3092\u610f\u5473\u3059\u308b\u5358\u306a\u308b\u6d3e\u624b\u306a\u8a18\u53f7\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30eb\u5e73\u5747\u3068\u6bcd\u96c6\u56e3\u5e73\u5747\u3068\u306e\u6bd4\u8f03\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6a19\u672c<\/a>\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 (x <sub>i<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u3001 <span style=\"text-decoration: overline;\">x<\/span>\u306f\u30b5\u30f3\u30d7\u30eb\u5e73\u5747\u3001x <sub>i<\/sub>\u306f i<sup>\u756a\u76ee\u306e<\/sup>\u30b5\u30f3\u30d7\u30eb\u8981\u7d20\u3001n \u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: R \u3067\u30b5\u30f3\u30d7\u30eb\u3068\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">R \u306b\u6b21\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define dataset<\/span>\ndata &lt;- c(2, 4, 4, 7, 8, 12, 14, 15, 19, 22)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">R \u306e<strong>var()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066<strong>\u6a19\u672c\u5206\u6563<\/strong>\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate sample variance<\/span>\nvar(data)\n\n[1] 46.01111\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u305d\u3057\u3066\u3001\u6b21\u306e\u3088\u3046\u306b\u6a19\u672c\u5206\u6563\u306b (n-1)\/n \u3092\u639b\u3051\u308b\u3060\u3051\u3067<strong>\u6bcd\u96c6\u56e3\u5206\u6563<\/strong>\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#determine length of data\n<span style=\"color: #000000;\">n &lt;- <span style=\"color: #3366ff;\">length<\/span> (data)<\/span>\n\n#calculate population variance<\/span>\nvar(data) * (n-1)\/n\n\n[1] 41.41\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f\u5e38\u306b\u30b5\u30f3\u30d7\u30eb\u306e\u5206\u6563\u3088\u308a\u3082\u5c0f\u3055\u3044\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5b9f\u969b\u306b\u306f\u3001\u6bcd\u96c6\u56e3\u5168\u4f53\u306e\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3059\u308b\u3053\u3068\u306f\u73cd\u3057\u3044\u305f\u3081\u3001\u901a\u5e38\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u6a19\u672c\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: \u8907\u6570\u306e\u5217\u306e\u30b5\u30f3\u30d7\u30eb\u306e\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">R \u306b\u6b21\u306e\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<span style=\"color: #000000;\">data &lt;- data.frame(a=c(1, 3, 4, 4, 6, 7, 8, 12),\n                   b=c(2, 4, 4, 5, 5, 6, 7, 16),\n                   c=c(6, 6, 7, 8, 8, 9, 9, 12))\n\n<span style=\"color: #008080;\">#view data frame<\/span>\ndata\n\n   ABC\n1 1 2 6\n2 3 4 6\n3 4 4 7\n4 4 5 8\n5 6 5 8\n6 7 6 9\n7 8 7 9\n8 12 16 12<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/rapply-sapply\u3068tapply\u3092\u9069\u7528\u3059\u308b\u305f\u3081\u306e\u30ab\u3099\u30a4\u30c8\u3099\/\" target=\"_blank\" rel=\"noopener noreferrer\">sapply()<\/a>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u5185\u306e\u5404\u5217\u306e\u6a19\u672c\u5206\u6563\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample variance of each column\n<span style=\"color: #000000;\">sapply(data, var)\n\n        ABC\n11.696429 18.125000 3.839286<\/span>\n<\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u307e\u305f\u3001\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u5404\u5217\u306e\u6a19\u672c\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5358\u306b\u6a19\u672c\u5206\u6563\u306e\u5e73\u65b9\u6839\u3067\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample standard deviation of each column\n<span style=\"color: #000000;\">sapply(data, sd)\n\n       ABC\n3.420004 4.257347 1.959410<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\"><em>\u305d\u306e\u4ed6\u306e R \u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u306f<a href=\"https:\/\/statorials.org\/ja\/-10\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u3053\u3053\u3067<\/a>\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5206\u6563\u306f\u3001\u30c7\u30fc\u30bf\u5024\u304c\u5e73\u5747\u306e\u5468\u56f2\u306b\u3069\u306e\u7a0b\u5ea6\u5206\u6563\u3057\u3066\u3044\u308b\u304b\u3092\u6e2c\u5b9a\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002 \u6bcd\u96c6\u56e3\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 \u03c3 2 = \u03a3 (x i \u2013 \u03bc) 2 \/ N \u3053\u3053\u3067\u3001\u03bc \u306f\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u3001x i\u306f\u6bcd\u96c6\u56e3\u306e i\u756a\u76ee\u306e [&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-1243","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\u3068\u6bcd\u96c6\u56e3\u306e\u5206\u6563\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\u6a19\u672c\u5206\u6563\u3068\u6bcd\u96c6\u56e3\u5206\u6563\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, 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