{"id":915,"date":"2023-07-28T07:59:26","date_gmt":"2023-07-28T07:59:26","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%9e%e3%83%8f%e3%83%a9%e3%83%8e%e3%83%92%e3%82%99%e3%82%b9%e8%b7%9d%e9%9b%a2r\/"},"modified":"2023-07-28T07:59:26","modified_gmt":"2023-07-28T07:59:26","slug":"%e3%83%9e%e3%83%8f%e3%83%a9%e3%83%8e%e3%83%92%e3%82%99%e3%82%b9%e8%b7%9d%e9%9b%a2r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%9e%e3%83%8f%e3%83%a9%e3%83%8e%e3%83%92%e3%82%99%e3%82%b9%e8%b7%9d%e9%9b%a2r\/","title":{"rendered":"R \u3067\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u306f\u3001<\/strong>\u591a\u5909\u91cf\u7a7a\u9593\u5185\u306e 2 \u70b9\u9593\u306e\u8ddd\u96e2\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8907\u6570\u306e\u5909\u6570\u3092\u542b\u3080\u7d71\u8a08\u5206\u6790\u3067\u5916\u308c\u5024\u3092\u691c\u51fa\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b: R \u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">R \u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5404<a href=\"https:\/\/statorials.org\/ja\/\u7d71\u8a08\u306b\u304a\u3051\u308b\u89b3\u5bdf\/\" target=\"_blank\" rel=\"noopener\">\u89b3\u6e2c\u5024<\/a>\u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u300120 \u4eba\u306e\u5b66\u751f\u306e\u8a66\u9a13\u30b9\u30b3\u30a2\u3001\u5b66\u751f\u304c\u52c9\u5f37\u306b\u8cbb\u3084\u3057\u305f\u6642\u9593\u6570\u3001\u53d7\u9a13\u3057\u305f\u6a21\u64ec\u8a66\u9a13\u306e\u56de\u6570\u3001\u30b3\u30fc\u30b9\u306e\u73fe\u5728\u306e\u6210\u7e3e\u3092\u8868\u793a\u3059\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data<\/span>\ndf = data.frame(score = c(91, 93, 72, 87, 86, 73, 68, 87, 78, 99, 95, 76, 84, 96, 76, 80, 83, 84, 73, 74) ,\n        hours = c(16, 6, 3, 1, 2, 3, 2, 5, 2, 5, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4),\n        prep = c(3, 4, 0, 3, 4, 0, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2),\n        grade = c(70, 88, 80, 83, 88, 84, 78, 94, 90, 93, 89, 82, 95, 94, 81, 93, 93, 90, 89, 89))\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n  score hours prep grade\n1 91 16 3 70\n2 93 6 4 88\n3 72 3 0 80\n4 87 1 3 83\n5 86 2 4 88\n6 73 3 0 84\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u5404\u89b3\u6e2c\u5024\u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001R \u306b\u7d44\u307f\u8fbc\u307e\u308c\u3066\u3044\u308b<a href=\"https:\/\/stat.ethz.ch\/R-manual\/R-devel\/library\/stats\/html\/mahalanobis.html\" target=\"_blank\" rel=\"noopener noreferrer\">mahalanobis()<\/a>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u3066\u5404\u89b3\u6e2c\u5024\u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u30de\u30cf\u30e9\u30ce\u30d3\u30b9 (x\u3001\u30bb\u30f3\u30bf\u30fc\u3001cov)<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong>\u30c7\u30fc\u30bf\u884c\u5217<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4e2d\u5fc3:<\/strong>\u5206\u5e03\u306e\u5e73\u5747\u30d9\u30af\u30c8\u30eb<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>cov:<\/strong>\u5206\u5e03\u5171\u5206\u6563\u884c\u5217<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u3053\u306e\u95a2\u6570\u3092\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5b9f\u88c5\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate Mahalanobis distance for each observation<\/span>\nmahalanobis(df, colMeans(df), cov(df))\n\n [1] 16.5019630 2.6392864 4.8507973 5.2012612 3.8287341 4.0905633\n [7] 4.2836303 2.4198736 1.6519576 5.6578253 3.9658770 2.9350178\n[13] 2.8102109 4.3682945 1.5610165 1.4595069 2.0245748 0.7502536\n[19] 2.7351292 2.2642268\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u5404\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u306e p \u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/strong><\/span> <\/p>\n<div id=\"mv-first-video\" class=\"mv-video-target mv-video__featured mv-video__optimized mv-video__embedded\" data-video-id=\"tmdycgxksxqpmqpu0vbx\" data-autoplay=\"true\" data-automobile=\"true\" data-muted=\"true\" data-sticky=\"true\" data-autoinsert=\"true\" data-disable-jsonld=\"true\" data-video-placement-inited=\"true\">\n<div id=\"mediavine-video__target-div__8330b88d-7ed9-463c-85d3-dc370a4c9ab3\" class=\"mediavine-video__target-div\">\n<div class=\"mediavine-video__root-container\">\n<div class=\"mediavine-video__placement-container mediavine-video__bottom mediavine-video__right mediavine-video__dark-theme\">\n<div class=\"mediavine-video__title-bar\">\n<p><span style=\"color: #000000;\">\u4e00\u90e8\u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u304c\u4ed6\u306e\u3082\u306e\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u5927\u304d\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3044\u305a\u308c\u304b\u306e\u8ddd\u96e2\u304c\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u305d\u306e<a href=\"https:\/\/statorials.org\/ja\/p-\u5024\u306e\u7d71\u8a08\u7684\u6709\u610f\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u5024<\/a>\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u8ddd\u96e2\u306e p \u5024\u306f\u3001k-1 \u81ea\u7531\u5ea6\u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u306e\u30ab\u30a4\u4e8c\u4e57\u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059 (k = \u5909\u6570\u306e\u6570)\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408\u306f 4-1 = 3 \u306e\u81ea\u7531\u5ea6\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create new column in data frame to hold Mahalanobis distances<\/span>\ndf$mahal &lt;- mahalanobis(df, colMeans(df), cov(df))\n\n<span style=\"color: #008080;\">#create new column in data frame to hold p-value for each Mahalanobis distance\n<\/span>df$p &lt;- <span style=\"color: #3366ff;\">pchisq<\/span> (df$mahal, df= <span style=\"color: #339966;\">3<\/span> , lower.tail=FALSE)\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   score hours prep grade mahal p\n1 91 16 3 70 16.5019630 0.0008945642\n2 93 6 4 88 2.6392864 0.4506437265\n3 72 3 0 80 4.8507973 0.1830542407\n4 87 1 3 83 5.2012612 0.1576392526\n5 86 2 4 88 3.8287341 0.2805615121\n6 73 3 0 84 4.0905633 0.2518495222\n7 68 2 1 78 4.2836303 0.2324211504\n8 87 5 2 94 2.4198736 0.4899458807\n9 78 2 1 90 1.6519576 0.6476670033\n10 99 5 2 93 5.6578253 0.1294978092\n11 95 2 3 89 3.9658770 0.2651724541\n12 76 3 3 82 2.9350178 0.4017530495\n13 84 4 3 95 2.8102109 0.4218217836\n14 96 3 2 94 4.3682945 0.2243432904\n15 76 3 2 81 1.5610165 0.6682610031\n16 80 3 2 93 1.4595069 0.6916471506\n17 83 4 3 93 2.0245748 0.5673218169\n18 84 3 3 90 0.7502536 0.8613248635\n19 73 4 2 89 2.7351292 0.4342904353\n20 74 4 2 89 2.2642268 0.5194087143\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4e00\u822c\u306b\u3001 <strong>0.001 \u672a\u6e80\u306e<\/strong>p \u5024\u306f\u5916\u308c\u5024\u3068\u307f\u306a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u521d\u306e\u89b3\u6e2c\u5024\u306f p \u5024\u304c 0.001 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u554f\u984c\u306e\u72b6\u6cc1\u306b\u5fdc\u3058\u3066\u3001\u3053\u306e\u89b3\u6e2c\u5024\u306f\u5916\u308c\u5024\u3067\u3042\u308a\u3001\u5206\u6790\u7d50\u679c\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u524a\u9664\u3059\u308b\u3053\u3068\u3092\u6c7a\u5b9a\u3059\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>\u95a2\u9023:<\/b><\/span> <a href=\"https:\/\/statorials.org\/ja\/\u591a\u5909\u91cf\u6b63\u898f\u6027\u691c\u5b9a-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R \u3067\u591a\u5909\u91cf\u6b63\u898f\u6027\u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u306f\u3001\u591a\u5909\u91cf\u7a7a\u9593\u5185\u306e 2 \u70b9\u9593\u306e\u8ddd\u96e2\u3067\u3059\u3002 \u8907\u6570\u306e\u5909\u6570\u3092\u542b\u3080\u7d71\u8a08\u5206\u6790\u3067\u5916\u308c\u5024\u3092\u691c\u51fa\u3059\u308b\u305f\u3081\u306b\u3088\u304f\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002 \u4f8b: R \u306e\u30de\u30cf\u30e9 [&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-915","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\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 - Statology<\/title>\n<meta name=\"description\" content=\"R \u3067\u306e\u30de\u30cf\u30e9\u30ce\u30d3\u30b9\u8ddd\u96e2\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u4f8b\u3068\u3068\u3082\u306b\u7c21\u5358\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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