{"id":910,"date":"2023-07-28T08:19:55","date_gmt":"2023-07-28T08:19:55","guid":{"rendered":"https:\/\/statorials.org\/ja\/zr%e3%82%b9%e3%82%b3%e3%82%a2\/"},"modified":"2023-07-28T08:19:55","modified_gmt":"2023-07-28T08:19:55","slug":"zr%e3%82%b9%e3%82%b3%e3%82%a2","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/zr%e3%82%b9%e3%82%b3%e3%82%a2\/","title":{"rendered":"R \u3067 z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u3067\u306f\u3001 <strong>Z \u30b9\u30b3\u30a2\u306f<\/strong>\u3001\u5024\u304c\u5e73\u5747\u304b\u3089\u3069\u308c\u3060\u3051\u6a19\u6e96\u504f\u5dee\u304c\u3042\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X \u306f\u5358\u4e00\u306e\u751f\u30c7\u30fc\u30bf\u5024\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">\u03bc \u306f\u6bcd\u5e73\u5747\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">\u03c3 \u306f\u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee\u3067\u3059<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u751f\u30c7\u30fc\u30bf\u5024\u306e Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 1: \u5358\u4e00\u30d9\u30af\u30c8\u30eb\u306e Z \u30b9\u30b3\u30a2\u306e\u691c\u7d22<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u30d9\u30af\u30c8\u30eb\u5185\u306e\u5404\u751f\u30c7\u30fc\u30bf\u5024\u306e Z \u30b9\u30b3\u30a2\u3092\u898b\u3064\u3051\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;\">#create vector of data<\/span>\ndata &lt;- c(6, 7, 7, 12, 13, 13, 15, 16, 19, 22)\n\n<span style=\"color: #008080;\">#find z-score for each data value<\/span> \nz_scores &lt;- (data-mean(data))\/sd(data)\n\n<span style=\"color: #008080;\">#display z-scores<\/span>\nz_scores\n\n[1] -1.3228757 -1.1338934 -1.1338934 -0.1889822 0.0000000 0.0000000\n[7] 0.3779645 0.5669467 1.1338934 1.7008401\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5404 Z \u30b9\u30b3\u30a2\u306f\u3001\u500b\u3005\u306e\u5024\u304c\u5e73\u5747\u304b\u3089\u3069\u308c\u3060\u3051\u6a19\u6e96\u504f\u5dee\u304c\u3042\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6700\u521d\u306e\u751f\u30c7\u30fc\u30bf\u5024\u300c6\u300d\u306f\u3001\u5e73\u5747\u5024<em>\u3088\u308a<\/em><strong>1.323<\/strong>\u6a19\u6e96\u504f\u5dee\u4f4e\u3044\u3067\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">5 \u756a\u76ee\u306e\u751f\u30c7\u30fc\u30bf\u5024\u300c13\u300d\u306f\u3001\u5e73\u5747\u304b\u3089\u306e\u6a19\u6e96\u504f\u5dee\u304c<strong>0<\/strong>\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u5e73\u5747\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6700\u65b0\u306e\u751f\u30c7\u30fc\u30bf\u5024\u300c22\u300d\u306f\u5e73\u5747\u3088\u308a<strong>1.701<\/strong>\u6a19\u6e96\u504f\u5dee<em>\u4e0a<\/em>\u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 2: DataFrame \u5185\u306e\u5358\u4e00\u5217\u306e Z \u30b9\u30b3\u30a2\u3092\u691c\u7d22\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u30c7\u30fc\u30bf\u30d5\u30ec\u30fc\u30e0\u306e\u5358\u4e00\u5217\u5185\u306e\u5404\u751f\u30c7\u30fc\u30bf\u5024\u306e Z \u30b9\u30b3\u30a2\u3092\u898b\u3064\u3051\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;\">#create dataframe<\/span>\ndf &lt;- data.frame(assists = c(4, 4, 6, 7, 9, 13),\n                 points = c(24, 29, 13, 15, 19, 22),\n                 rebounds = c(5, 5, 7, 8, 14, 15))\n\n<span style=\"color: #008080;\">#find z-score for each data value in the 'points' column\n<\/span>z_scores &lt;- (df$points-mean(df$points))\/sd(df$points)\n\n<span style=\"color: #008080;\">#display z-scores<\/span>\nz_scores\n\n[1] 0.6191904 1.4635409 -1.2383807 -0.9006405 -0.2251601 0.2814502\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5404 Z \u30b9\u30b3\u30a2\u306f\u3001\u500b\u3005\u306e\u5024\u304c\u5e73\u5747\u304b\u3089\u3069\u308c\u3060\u3051\u6a19\u6e96\u504f\u5dee\u304c\u3042\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6700\u521d\u306e\u751f\u30c7\u30fc\u30bf\u5024\u300c24\u300d\u306f\u3001\u5e73\u5747\u3088\u308a<strong>0.619<\/strong>\u6a19\u6e96\u504f\u5dee<em>\u4e0a<\/em>\u3067\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">2 \u756a\u76ee\u306e\u751f\u30c7\u30fc\u30bf\u5024\u300c29\u300d\u306f\u3001\u5e73\u5747\u3088\u308a<strong>1.464<\/strong>\u6a19\u6e96\u504f\u5dee<em>\u4e0a<\/em>\u3067\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">3 \u756a\u76ee\u306e\u751f\u30c7\u30fc\u30bf\u5024\u300c13\u300d\u306f\u3001\u5e73\u5747<em>\u3088\u308a<\/em><strong>1.238<\/strong>\u6a19\u6e96\u504f\u5dee\u4f4e\u3044\u3067\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7b49\u3005\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 3: DataFrame \u5185\u306e\u5404\u5217\u306e Z \u30b9\u30b3\u30a2\u3092\u691c\u7d22\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001 <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\">sapply() \u95a2\u6570<\/a>\u3092\u4f7f\u7528\u3057\u3066\u3001\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u306e\u5404\u5217\u306e\u5404\u751f\u30c7\u30fc\u30bf\u5024\u306e Z \u30b9\u30b3\u30a2\u3092\u898b\u3064\u3051\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;\">#create dataframe<\/span>\ndf &lt;- data.frame(assists = c(4, 4, 6, 7, 9, 13),\n                 points = c(24, 29, 13, 15, 19, 22),\n                 rebounds = c(5, 5, 7, 8, 14, 15))\n\n<span style=\"color: #008080;\">#find z-scores of each column<\/span>\nsapply(df, function(df) (df-mean(df))\/sd(df))\n\n         assists points rebounds\n[1,] -0.92315712 0.6191904 -0.9035079\n[2,] -0.92315712 1.4635409 -0.9035079\n[3,] -0.34011052 -1.2383807 -0.4517540\n[4,] -0.04858722 -0.9006405 -0.2258770\n[5,] 0.53445939 -0.2251601 1.1293849\n[6,] 1.70055260 0.2814502 1.3552619<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u500b\u3005\u306e\u5024\u306e Z \u30b9\u30b3\u30a2\u306f\u3001\u305d\u306e\u5024\u304c\u914d\u7f6e\u3055\u308c\u3066\u3044\u308b\u5217\u3092\u57fa\u6e96\u306b\u3057\u3066\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6700\u521d\u306e\u5217\u306e\u6700\u521d\u306e\u5024\u300c4\u300d\u306f\u3001\u305d\u306e\u5217\u306e\u5e73\u5747\u5024<i>\u3088\u308a<\/i><strong>0.923<\/strong>\u6a19\u6e96\u504f\u5dee\u4f4e\u3044\u3067\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">2 \u756a\u76ee\u306e\u5217\u306e\u6700\u521d\u306e\u5024\u300c24\u300d\u306f\u3001\u305d\u306e\u5217\u306e\u5e73\u5747\u5024\u3088\u308a<strong>0.619<\/strong>\u6a19\u6e96\u504f\u5dee<i>\u4e0a<\/i>\u3067\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">3 \u756a\u76ee\u306e\u5217\u306e\u6700\u521d\u306e\u5024\u300c9\u300d\u306f\u3001\u305d\u306e\u5217\u306e\u5e73\u5747\u5024\u3088\u308a\u3082<strong>0.904<\/strong>\u6a19\u6e96\u504f\u5dee<em>\u4f4e\u304f<\/em>\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7b49\u3005\u3002<\/span><\/p>\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\">\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>\u7d71\u8a08\u3067\u306f\u3001 Z \u30b9\u30b3\u30a2\u306f\u3001\u5024\u304c\u5e73\u5747\u304b\u3089\u3069\u308c\u3060\u3051\u6a19\u6e96\u504f\u5dee\u304c\u3042\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066 Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 z = (X \u2013 \u03bc) \/ \u03c3 \u91d1\uff1a X \u306f\u5358\u4e00\u306e\u751f\u30c7\u30fc\u30bf\u5024\u3067\u3059 \u03bc \u306f\u6bcd\u5e73\u5747\u3067\u3059 \u03c3 \u306f\u6bcd\u96c6\u56e3\u306e\u6a19\u6e96 [&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-910","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 Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 - Statorials<\/title>\n<meta name=\"description\" content=\"R \u3067 Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u542b\u3081\u3066\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\" href=\"https:\/\/statorials.org\/ja\/zr\u30b9\u30b3\u30a2\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u3067 Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 - Statorials\" \/>\n<meta property=\"og:description\" content=\"R \u3067 Z \u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3092\u542b\u3081\u3066\u7c21\u5358\u306b\u8aac\u660e\u3057\u307e\u3059\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ja\/zr\u30b9\u30b3\u30a2\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta 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\u30b9\u30b3\u30a2\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/ja\/#website\"},\"datePublished\":\"2023-07-28T08:19:55+00:00\",\"dateModified\":\"2023-07-28T08:19:55+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/ja\/#\/schema\/person\/86b92d2dd87368b26360d19d9c6a5d83\"},\"description\":\"R \u3067 Z 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