{"id":683,"date":"2023-07-29T02:37:17","date_gmt":"2023-07-29T02:37:17","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%82%af%e3%82%99%e3%83%a9%e3%83%95%e3%82%99%e3%82%b9%e3%83%86%e3%82%b9%e3%83%88r\/"},"modified":"2023-07-29T02:37:17","modified_gmt":"2023-07-29T02:37:17","slug":"%e3%82%af%e3%82%99%e3%83%a9%e3%83%95%e3%82%99%e3%82%b9%e3%83%86%e3%82%b9%e3%83%88r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%82%af%e3%82%99%e3%83%a9%e3%83%95%e3%82%99%e3%82%b9%e3%83%86%e3%82%b9%e3%83%88r\/","title":{"rendered":"R \u3067 grubbs \u306e\u30c6\u30b9\u30bf\u30fc\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u30b0\u30e9\u30d6\u30b9\u691c\u5b9a\u306f\u3001<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u306e\u5b58\u5728\u3092\u7279\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u7d71\u8a08\u691c\u5b9a\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u3092\u4f7f\u7528\u3059\u308b\u306b\u306f\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u304c<a href=\"https:\/\/statorials.org\/ja\/\u6b63\u898f\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u307b\u307c\u6b63\u898f\u5206\u5e03<\/a>\u3092\u6301\u3061\u3001\u5c11\u306a\u304f\u3068\u3082 7 \u3064\u306e\u89b3\u6e2c\u5024\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067 Grubbs \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u3066\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u3092\u691c\u51fa\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b: R \u3067\u306e Grubbs \u30c6\u30b9\u30c8<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">R \u3067 Grubbs \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u306b\u306f\u3001 <strong>Outliers<\/strong>\u30d1\u30c3\u30b1\u30fc\u30b8\u306e<strong>grubbs.test()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u95a2\u6570\u306f\u6b21\u306e\u69cb\u6587\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>grubbs.test(x\u3001\u30bf\u30a4\u30d7 = 10\u3001\u53cd\u5bfe = FALSE\u3001\u4e21\u9762 = FALSE)<\/strong><\/span><\/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\u5024\u306e\u6570\u5024\u30d9\u30af\u30c8\u30eb<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u30bf\u30a4\u30d7:<\/strong> 10 = \u6700\u5927\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u300111 = \u6700\u5c0f\u5024\u3068\u6700\u5927\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u300120 = \u5c3e\u90e8\u306b 2 \u3064\u306e\u5916\u308c\u5024\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u53cd\u5bfe:<\/strong>\u5e73\u5747\u3068\u306e\u5dee\u304c\u6700\u3082\u5927\u304d\u3044\u5024\u3067\u306f\u306a\u304f\u3001\u305d\u306e\u9006\u306e\u5024 (\u6700\u3082\u7591\u308f\u3057\u3044\u5024\u304c\u6700\u3082\u9ad8\u3044\u5834\u5408\u306f\u6700\u5c0f\u5024\u306a\u3069) \u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u793a\u3059\u30ed\u30b8\u30c3\u30af\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4e21\u5074:<\/strong>\u30c6\u30b9\u30c8\u3092\u4e21\u5074\u3068\u3057\u3066\u6271\u3046\u3079\u304d\u304b\u3069\u3046\u304b\u3092\u793a\u3059\u8ad6\u7406\u5024<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c6\u30b9\u30c8\u3067\u306f\u3001\u6b21\u306e 2 \u3064\u306e\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (\u5e30\u7121\u4eee\u8aac):<\/strong>\u30c7\u30fc\u30bf\u306b\u5916\u308c\u5024\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> (\u5bfe\u7acb\u4eee\u8aac):<\/strong>\u30c7\u30fc\u30bf\u306b\u5916\u308c\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001Grubbs \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u3066\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u306e\u6700\u5927\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load Outliers package\n<\/span>library(Outliers)\n\n<span style=\"color: #008080;\">#createdata<\/span>\ndata &lt;- c(5, 14, 15, 15, 14, 13, 19, 17, 16, 20, 22, 8, 21, 28, 11, 9, 29, 40)\n\n<span style=\"color: #008080;\">#perform Grubbs' Test to see if '40' is an outlier\n<\/span>grubbs.test(data)\n\n# Grubbs test for one outlier\n#\n#data:data\n#G = 2.65990, U = 0.55935, p-value = 0.02398\n#alternative hypothesis: highest value 40 is an outlier\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e\u691c\u5b9a\u7d71\u8a08\u91cf\u306f<strong>G = 2.65990<\/strong>\u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u306f<strong>p = 0.02398<\/strong>\u3067\u3059\u3002\u3053\u306e\u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u3001\u6700\u5927\u5024 40 \u306f\u5916\u308c\u5024\u3067\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee3\u308f\u308a\u306b\u3001\u6700\u5c0f\u5024\u300c5\u300d\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u3057\u305f\u3044\u5834\u5408\u306f\u3001 <strong>opposite=TRUE<\/strong>\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Grubbs' Test to see if '5' is an outlier\n<\/span>grubbs.test(data, opposite= <span style=\"color: #993366;\">TRUE<\/span> )\n\n# Grubbs test for one outlier\n#\n#data:data\n#G = 1.4879, U = 0.8621, p-value = 1\n#alternative hypothesis: lowest value 5 is an outlier\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u7d71\u8a08\u91cf\u306f<strong>G = 1.4879<\/strong>\u3067\u3001\u5bfe\u5fdc\u3059\u308b p \u5024\u306f<strong>p = 1<\/strong>\u3067\u3059\u3002\u3053\u306e\u5024\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002\u6700\u5c0f\u5024\u300c5\u300d\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5f8c\u306b\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u4e00\u7aef\u306b 2 \u3064\u306e\u5927\u304d\u306a\u5024 (40 \u3068 42) \u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u3089<em>2 \u3064\u306e<\/em>\u5024\u304c\u5916\u308c\u5024\u3067\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u3059\u308b\u306b\u306f\u3001Grubbs \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3057\u3066<strong>type=20<\/strong>\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset with two large values at one end: 40 and 42<\/span>\ndata &lt;- c(5, 14, 15, 15, 14, 13, 19, 17, 16, 20, 22, 8, 21, 28, 11, 9, 29, 40, 42) \n\n<span style=\"color: #008080;\">#perform Grubbs' Test to see if both 40 and 42 are outliers\n<\/span>grubbs.test(data, type=20)\n\n# Grubbs test for two outliers\n#\n#data: data\n#U = 0.38111, p-value = 0.01195\n#alternative hypothesis: highest values 40, 42 are outliers\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e p \u5024\u306f<strong>0.01195<\/strong>\u3067\u3059\u3002\u3053\u306e\u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u5024 40 \u3068 42 \u304c\u4e21\u65b9\u3068\u3082\u5916\u308c\u5024\u3067\u3042\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308b\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<h2><strong>\u5916\u308c\u5024\u3092\u51e6\u7406\u3059\u308b\u65b9\u6cd5<\/strong><\/h2>\n<p><span style=\"color: #000000;\">Grubbs \u30c6\u30b9\u30c8\u3067\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u304c\u7279\u5b9a\u3055\u308c\u305f\u5834\u5408\u3001\u3044\u304f\u3064\u304b\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u5024\u304c\u30bf\u30a4\u30d7\u30df\u30b9\u3084\u30c7\u30fc\u30bf\u5165\u529b\u30a8\u30e9\u30fc\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u518d\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u3067\u5916\u308c\u5024\u3068\u3057\u3066\u8868\u793a\u3055\u308c\u308b\u5024\u306f\u3001\u30c7\u30fc\u30bf\u5165\u529b\u6642\u306b\u500b\u4eba\u304c\u884c\u3063\u305f\u5358\u306a\u308b\u30bf\u30a4\u30d7\u30df\u30b9\u3067\u3042\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u6c7a\u5b9a\u3092\u4e0b\u3059\u524d\u306b\u3001\u623b\u3063\u3066\u5024\u304c\u6b63\u3057\u304f\u5165\u529b\u3055\u308c\u305f\u3053\u3068\u3092\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u5916\u308c\u5024\u306b\u65b0\u3057\u3044\u5024\u3092\u5272\u308a\u5f53\u3066\u307e\u3059<\/strong>\u3002<\/span>\u5916\u308c\u5024\u304c\u30bf\u30a4\u30d7\u30df\u30b9\u307e\u305f\u306f\u30c7\u30fc\u30bf\u5165\u529b\u30a8\u30e9\u30fc\u306e\u7d50\u679c\u3067\u3042\u308b\u3053\u3068\u304c\u5224\u660e\u3057\u305f\u5834\u5408\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5e73\u5747<a href=\"https:\/\/statorials.org\/ja\/\u4e2d\u5fc3\u50be\u5411\u3092\u6e2c\u5b9a\u3059\u308b\/\" target=\"_blank\" rel=\"noopener\">\u3084\u4e2d\u592e\u5024<\/a><span style=\"color: #000000;\">\u306a\u3069\u306e\u65b0\u3057\u3044\u5024\u3092\u5272\u308a\u5f53\u3066\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059<\/span>\u3002<\/p>\n<p> <span style=\"color: #000000;\"><strong>3. \u5916\u308c\u5024\u3092\u524a\u9664\u3057\u307e\u3059\u3002<\/strong>\u5024\u304c\u672c\u5f53\u306b\u5916\u308c\u5024\u3067\u3042\u308a\u3001\u5206\u6790\u5168\u4f53\u306b\u91cd\u5927\u306a\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u5834\u5408\u306f\u3001\u305d\u306e\u5024\u3092\u524a\u9664\u3059\u308b\u3053\u3068\u3092\u9078\u629e\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30b0\u30e9\u30d6\u30b9\u691c\u5b9a\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u306e\u5916\u308c\u5024\u306e\u5b58\u5728\u3092\u7279\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3067\u304d\u308b\u7d71\u8a08\u691c\u5b9a\u3067\u3059\u3002 \u3053\u306e\u691c\u5b9a\u3092\u4f7f\u7528\u3059\u308b\u306b\u306f\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u304c\u307b\u307c\u6b63\u898f\u5206\u5e03\u3092\u6301\u3061\u3001\u5c11\u306a\u304f\u3068\u3082 7 \u3064\u306e\u89b3\u6e2c\u5024\u304c\u542b\u307e\u308c\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 \u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2 [&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-683","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 Grubbs \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5 - Statorials<\/title>\n<meta name=\"description\" content=\"R \u3067 Grubbs \u30c6\u30b9\u30c8\u3092\u5b9f\u884c\u3059\u308b\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, 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