{"id":1750,"date":"2023-07-25T03:37:36","date_gmt":"2023-07-25T03:37:36","guid":{"rendered":"https:\/\/statorials.org\/cn\/aic-%e8%87%b3-r\/"},"modified":"2023-07-25T03:37:36","modified_gmt":"2023-07-25T03:37:36","slug":"aic-%e8%87%b3-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/aic-%e8%87%b3-r\/","title":{"rendered":"\u5982\u4f55\u5728r\u4e2d\u8ba1\u7b97aic\uff08\u5305\u62ec\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u8d64\u6c60\u4fe1\u606f\u51c6\u5219 (AIC) \u662f\u7528\u4e8e\u6bd4\u8f83\u591a\u4e2a\u56de\u5f52\u6a21\u578b\u62df\u5408\u5ea6\u7684\u6307\u6807\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">AIC = 2K \u2013 2 <em>ln<\/em> (L)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>K\uff1a<\/strong>\u6a21\u578b\u53c2\u6570\u7684\u6570\u91cf\u3002 K \u7684\u9ed8\u8ba4\u503c\u4e3a 2\uff0c\u56e0\u6b64\u53ea\u6709\u4e00\u4e2a\u9884\u6d4b\u53d8\u91cf\u7684\u6a21\u578b\u7684 K \u503c\u4e3a 2+1 = 3\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><em>ln<\/em> (L)<\/strong> \uff1a\u6a21\u578b\u7684\u5bf9\u6570\u4f3c\u7136\u3002\u5927\u591a\u6570\u7edf\u8ba1\u8f6f\u4ef6\u53ef\u4ee5\u81ea\u52a8\u4e3a\u60a8\u8ba1\u7b97\u8be5\u503c\u3002<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">AIC \u65e8\u5728\u627e\u5230\u89e3\u91ca\u6570\u636e\u53d8\u5316\u6700\u5927\u7684\u6a21\u578b\uff0c\u540c\u65f6\u60e9\u7f5a\u4f7f\u7528\u8fc7\u591a\u53c2\u6570\u7684\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u62df\u5408\u591a\u4e2a\u56de\u5f52\u6a21\u578b\u540e\uff0c\u60a8\u53ef\u4ee5\u6bd4\u8f83<\/span><span style=\"color: #000000;\">\u6bcf\u4e2a\u6a21\u578b\u7684 AIC \u503c\u3002 AIC\u8d8a\u4f4e\uff0c\u6a21\u578b\u8d8a\u9002\u5408\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8981\u8ba1\u7b97 R \u4e2d\u591a\u5143\u56de\u5f52\u6a21\u578b\u7684 AIC\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>AICcmodavg<\/strong>\u5305\u4e2d\u7684<strong>aictab()<\/strong>\u51fd\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u6f14\u793a\u5982\u4f55\u4f7f\u7528\u6b64\u51fd\u6570\u8ba1\u7b97\u548c\u89e3\u91ca R \u4e2d\u5404\u79cd\u56de\u5f52\u6a21\u578b\u7684 AIC\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u5728 R \u4e2d\u8ba1\u7b97\u548c\u89e3\u91ca AIC<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u4f7f\u7528<strong>mtcars<\/strong>\u6570\u636e\u96c6\u4e2d\u7684\u53d8\u91cf\u6765\u62df\u5408\u4e09\u4e2a\u4e0d\u540c\u7684<a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52-1\/\" target=\"_blank\" rel=\"noopener\">\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u6211\u4eec\u5c06\u5728\u6bcf\u4e2a\u6a21\u578b\u4e2d\u4f7f\u7528\u7684\u9884\u6d4b\u53d8\u91cf\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6a21\u578b 1 \u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\uff1adisp\u3001hp\u3001wt\u3001qsec<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a21\u578b 2 \u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\uff1adisp\u3001qsec<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a21\u578b 3 \u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\uff1adisp\u3001wt<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u62df\u5408\u6bcf\u4e2a\u56de\u5f52\u6a21\u578b\uff1a<\/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;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u6a21\u578b\u653e\u5165\u5217\u8868\u4e2d\uff0c\u5e76\u4f7f\u7528<strong>aictab()<\/strong>\u51fd\u6570\u8ba1\u7b97\u6bcf\u4e2a\u6a21\u578b\u7684 AIC\uff1a<\/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;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><b>K\uff1a<\/b>\u6a21\u578b\u4e2d\u53c2\u6570\u7684\u6570\u91cf\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AICc\uff1a<\/strong>\u6a21\u578b\u7684 AIC \u503c\u3002\u5c0f\u5199\u201cc\u201d\u8868\u793a AIC \u662f\u6839\u636e\u9488\u5bf9\u5c0f\u6837\u672c\u6821\u6b63\u7684 AIC \u8ba1\u7b97\u5f97\u51fa\u7684\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Delta_AICc\uff1a<\/strong>\u6700\u4f73\u6a21\u578b\u7684AIC\u4e0e\u5f53\u524d\u6a21\u578b\u6bd4\u8f83\u7684AIC\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AICcWt\uff1a<\/strong>\u6a21\u578b\u4e2d\u53ef\u4ee5\u627e\u5230\u7684\u603b\u9884\u6d4b\u80fd\u529b\u7684\u6bd4\u4f8b\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Cum.Wt<\/strong> \uff1aAIC \u6743\u91cd\u7684\u7d2f\u79ef\u548c\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>LL\uff1a<\/b>\u6a21\u578b\u7684\u5bf9\u6570\u4f3c\u7136\u3002\u8fd9\u544a\u8bc9\u6211\u4eec\u5728\u7ed9\u5b9a\u6211\u4eec\u4f7f\u7528\u7684\u6570\u636e\u7684\u60c5\u51b5\u4e0b\u8be5\u6a21\u578b\u7684\u53ef\u80fd\u6027\u6709\u591a\u5927\u3002<\/span><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">AIC \u503c\u6700\u4f4e\u7684\u6a21\u578b\u59cb\u7ec8\u5217\u5728\u6700\u524d\u9762\u3002\u4ece\u7ed3\u679c\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u4ee5\u4e0b\u6a21\u578b\u5177\u6709\u6700\u4f4e\u7684 AIC \u503c\uff0c\u56e0\u6b64\u662f\u6700\u4f73\u62df\u5408\u6a21\u578b\uff1a<\/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;\">\u4e00\u65e6\u6211\u4eec\u786e\u5b9a\u8be5\u6a21\u578b\u662f\u6700\u4f73\u6a21\u578b\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u7ee7\u7eed\u8fdb\u884c\u6a21\u578b\u62df\u5408\u5e76\u5206\u6790\u7ed3\u679c\uff08\u5305\u62ec R \u5e73\u65b9\u503c\u548c beta \u7cfb\u6570\uff09\uff0c\u4ee5\u786e\u5b9a\u9884\u6d4b\u53d8\u91cf\u96c6\u4e0e<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e4b\u95f4\u7684\u786e\u5207\u5173\u7cfb\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u7b80\u5355\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u591a\u5143\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u62df\u5408\u4e2d\u7684-r-\u65b9\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u8c03\u6574\u540e\u7684 R \u5e73\u65b9<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684\u7d2b\u8272cp\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97 Mallows Cp<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8d64\u6c60\u4fe1\u606f\u51c6\u5219 (AIC) \u662f\u7528\u4e8e\u6bd4\u8f83\u591a\u4e2a\u56de\u5f52\u6a21\u578b\u62df\u5408\u5ea6\u7684\u6307\u6807\u3002 \u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a AIC = 2K \u2013 2 ln [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1750","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97 AIC\uff08\u5305\u62ec\u793a\u4f8b\uff09 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u8bf4\u660e\u5982\u4f55\u8ba1\u7b97 R \u56de\u5f52\u6a21\u578b\u7684 Akaike \u4fe1\u606f\u51c6\u5219 (AIC)\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\/cn\/aic-\u81f3-r\/\" \/>\n<meta property=\"og:locale\" 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