{"id":1747,"date":"2023-07-25T03:37:36","date_gmt":"2023-07-25T03:37:36","guid":{"rendered":"https:\/\/statorials.org\/ja\/aic%e3%81%8b%e3%82%89r\/"},"modified":"2023-07-25T03:37:36","modified_gmt":"2023-07-25T03:37:36","slug":"aic%e3%81%8b%e3%82%89r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/aic%e3%81%8b%e3%82%89r\/","title":{"rendered":"R \u3067 aic \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 (\u4f8b\u3092\u542b\u3080)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u8d64\u6c60\u60c5\u5831\u91cf\u57fa\u6e96 (AIC) \u306f\u3001\u91cd\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u9069\u5408\u5ea6\u3092\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u6307\u6a19\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">AIC = 2K \u2013 2 <em>ln<\/em> (\u9577\u3055)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>K:<\/strong>\u30e2\u30c7\u30eb\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u3002 K \u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u5024\u306f 2 \u3067\u3042\u308b\u305f\u3081\u3001\u4e88\u6e2c\u5909\u6570\u304c 1 \u3064\u3060\u3051\u3042\u308b\u30e2\u30c7\u30eb\u306e K \u5024\u306f 2+1 = 3 \u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><em>ln<\/em> (L)<\/strong> : \u30e2\u30c7\u30eb\u306e\u5bfe\u6570\u5c24\u5ea6\u3002\u307b\u3068\u3093\u3069\u306e\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306f\u3001\u3053\u306e\u5024\u3092\u81ea\u52d5\u7684\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">AIC \u306f\u3001\u904e\u5270\u306a\u6570\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u3092\u4f7f\u7528\u3059\u308b\u30e2\u30c7\u30eb\u306b\u30da\u30ca\u30eb\u30c6\u30a3\u3092\u8ab2\u3057\u306a\u304c\u3089\u3001\u30c7\u30fc\u30bf\u306e\u5909\u52d5\u3092\u6700\u3082\u591a\u304f\u8aac\u660e\u3059\u308b\u30e2\u30c7\u30eb\u3092\u898b\u3064\u3051\u308b\u3088\u3046\u306b\u8a2d\u8a08\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p>\u8907\u6570\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u9069\u5408\u3055\u305b\u305f\u3089\u3001<span style=\"color: #000000;\">\u5404\u30e2\u30c7\u30eb\u306e AIC \u5024<\/span><span style=\"color: #000000;\">\u3092\u6bd4\u8f03\u3067\u304d\u307e\u3059<\/span>\u3002 <span style=\"color: #000000;\">AIC \u304c\u4f4e\u3044\u307b\u3069\u3001\u30e2\u30c7\u30eb\u306f\u3088\u308a\u9069\u5207\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u3067\u91cd\u56de\u5e30\u30e2\u30c7\u30eb\u306e AIC \u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001 <strong>AICcmodavg<\/strong>\u30d1\u30c3\u30b1\u30fc\u30b8\u306e<strong>aictab()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001\u3053\u306e\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001R \u306e\u3055\u307e\u3056\u307e\u306a\u56de\u5e30\u30e2\u30c7\u30eb\u306e AIC \u3092\u8a08\u7b97\u304a\u3088\u3073\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: R \u3067 AIC \u3092\u8a08\u7b97\u304a\u3088\u3073\u89e3\u91c8\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>mtcars<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5909\u6570\u3092\u4f7f\u7528\u3057\u3066 3 \u3064\u306e\u7570\u306a\u308b<a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092<\/a>\u8fd1\u4f3c\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u30e2\u30c7\u30eb\u3067\u4f7f\u7528\u3059\u308b\u4e88\u6e2c\u5909\u6570\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30e2\u30c7\u30eb 1 \u306e\u4e88\u6e2c\u5909\u6570: disp\u3001hp\u3001wt\u3001qsec<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30e2\u30c7\u30eb 2 \u306e\u4e88\u6e2c\u5b50\u5909\u6570: disp\u3001qsec<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30e2\u30c7\u30eb 3 \u306e\u4e88\u6e2c\u5b50\u5909\u6570: disp\u3001wt<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u3053\u308c\u3089\u306e\u5404\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\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;\">#fit three models\n<\/span>model1 &lt;- lm(mpg ~ disp + hp + wt + qsec, data = mtcars)\nmodel2 &lt;- lm(mpg ~ disp + qsec, data = mtcars)\nmodel3 &lt;- lm(mpg ~ disp + wt, data = mtcars)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u30e2\u30c7\u30eb\u3092\u30ea\u30b9\u30c8\u306b\u5165\u308c\u3001 <strong>aictab()<\/strong>\u95a2\u6570\u3092\u4f7f\u7528\u3057\u3066\u5404\u30e2\u30c7\u30eb\u306e AIC \u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (AICcmodavg)<\/span>\n\n#define list of models\n<\/span>models &lt;- list(model1, model2, model3)\n\n<span style=\"color: #008080;\">#specify model names\n<\/span>mod.names &lt;- c('disp.hp.wt.qsec', 'disp.qsec', 'disp.wt')\n\n<span style=\"color: #008080;\">#calculate AIC of each model\n<\/span>aictab(cand.set = models, modnames = mod.names)\n\nModel selection based on AICc:\n\n                K AICc Delta_AICc AICcWt Cum.Wt LL\ndisp.hp.wt.qsec 6 162.43 0.00 0.83 0.83 -73.53\navailable wt 4 165.65 3.22 0.17 1.00 -78.08\ndisp.qsec 4 173.32 10.89 0.00 1.00 -81.92\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><b>K:<\/b>\u30e2\u30c7\u30eb\u5185\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AICc:<\/strong>\u30e2\u30c7\u30eb\u306e AIC \u5024\u3002\u5c0f\u6587\u5b57\u306e\u300cc\u300d\u306f\u3001AIC \u304c\u5c0f\u3055\u306a\u30b5\u30f3\u30d7\u30eb\u306b\u5bfe\u3057\u3066\u88dc\u6b63\u3055\u308c\u305f AIC \u304b\u3089\u8a08\u7b97\u3055\u308c\u305f\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Delta_AICc:<\/strong>\u6700\u826f\u306e\u30e2\u30c7\u30eb\u306e AIC \u3068\u6bd4\u8f03\u3055\u308c\u305f\u73fe\u5728\u306e\u30e2\u30c7\u30eb\u306e AIC \u306e\u5dee\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AICcWt:<\/strong>\u30e2\u30c7\u30eb\u5185\u3067\u898b\u3064\u304b\u308b\u5408\u8a08\u4e88\u6e2c\u529b\u306e\u5272\u5408\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Cum.Wt<\/strong> : AIC \u91cd\u307f\u306e\u7d2f\u7a4d\u5408\u8a08\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>LL:<\/b>\u30e2\u30c7\u30eb\u306e\u5bfe\u6570\u5c24\u5ea6\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u4f7f\u7528\u3057\u305f\u30c7\u30fc\u30bf\u3092\u8003\u616e\u3057\u3066\u30e2\u30c7\u30eb\u304c\u3069\u306e\u7a0b\u5ea6\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u304b\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">AIC \u5024\u304c\u6700\u3082\u4f4e\u3044\u30e2\u30c7\u30eb\u304c\u5e38\u306b\u6700\u521d\u306b\u30ea\u30b9\u30c8\u3055\u308c\u307e\u3059\u3002\u7d50\u679c\u304b\u3089\u3001\u6b21\u306e\u30e2\u30c7\u30eb\u306f AIC \u5024\u304c\u6700\u3082\u4f4e\u3044\u305f\u3081\u3001\u6700\u3082\u9069\u5408\u3059\u308b\u30e2\u30c7\u30eb\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (disp) + \u03b2 <sub>2<\/sub> (hp) + \u03b2 <sub>3<\/sub> (\u91cd\u91cf) + \u03b2 <sub>4<\/sub> (qsec)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30e2\u30c7\u30eb\u304c\u6700\u9069\u3067\u3042\u308b\u3068\u7279\u5b9a\u3057\u305f\u3089\u3001\u30e2\u30c7\u30eb\u306e\u30d5\u30a3\u30c3\u30c6\u30a3\u30f3\u30b0\u3092\u9032\u3081\u3001R \u4e8c\u4e57\u5024\u3084\u30d9\u30fc\u30bf\u4fc2\u6570\u3092\u542b\u3080\u7d50\u679c\u3092\u5206\u6790\u3057\u3066\u3001\u4e00\u9023\u306e\u4e88\u6e2c\u5909\u6570\u3068<a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u9593\u306e\u6b63\u78ba\u306a\u95a2\u4fc2\u3092\u6c7a\u5b9a\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u91cd\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r-\u5e73\u65b9\u306e-r-\u30d5\u30a3\u30c3\u30c8\/\" target=\"_blank\" rel=\"noopener\">R \u306e\u8abf\u6574\u6e08\u307f R \u4e8c\u4e57\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/r\u3066\u3099\u7d2b\u8272\u306ecp\u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u30de\u30ed\u30fc\u30ba Cp \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8d64\u6c60\u60c5\u5831\u91cf\u57fa\u6e96 (AIC) \u306f\u3001\u91cd\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u9069\u5408\u5ea6\u3092\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u308b\u6307\u6a19\u3067\u3059\u3002 \u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002 AIC = 2K \u2013 2 ln (\u9577\u3055) \u91d1\uff1a K:\u30e2\u30c7\u30eb\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u3002 K \u306e\u30c7\u30d5\u30a9\u30eb\u30c8\u5024\u306f 2 \u3067 [&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-1747","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 AIC \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 (\u4f8b\u3092\u542b\u3080) - Statorials<\/title>\n<meta name=\"description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u8d64\u6c60\u60c5\u5831\u91cf\u57fa\u6e96 (AIC) \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5\u3092\u4f8b\u3068\u3068\u3082\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\/aic\u304b\u3089r\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R \u3067 AIC \u3092\u8a08\u7b97\u3059\u308b\u65b9\u6cd5 (\u4f8b\u3092\u542b\u3080) - Statorials\" \/>\n<meta property=\"og:description\" content=\"\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u8d64\u6c60\u60c5\u5831\u91cf\u57fa\u6e96 (AIC) 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