{"id":1749,"date":"2023-07-25T03:40:00","date_gmt":"2023-07-25T03:40:00","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97r%e4%b8%ad%e7%9a%84%e7%b4%ab%e8%89%b2cp\/"},"modified":"2023-07-25T03:40:00","modified_gmt":"2023-07-25T03:40:00","slug":"%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97r%e4%b8%ad%e7%9a%84%e7%b4%ab%e8%89%b2cp","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97r%e4%b8%ad%e7%9a%84%e7%b4%ab%e8%89%b2cp\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684\u7d2b\u8272&#39;cp"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5728\u56de\u5f52\u5206\u6790\u4e2d\uff0c <a href=\"https:\/\/statorials.org\/cn\/\u7d2b\u8272cp\/\" target=\"_blank\" rel=\"noopener\">Mallows Cp<\/a>\u662f\u7528\u4e8e\u5728\u591a\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u9009\u62e9\u6700\u4f73\u56de\u5f52\u6a21\u578b\u7684\u5ea6\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8bc6\u522b\u5177\u6709\u63a5\u8fd1<em>p<\/em> +1 \u7684\u6700\u4f4e Cp \u503c\u7684\u6a21\u578b\u6765\u8bc6\u522b\u201c\u6700\u4f73\u201d\u56de\u5f52\u6a21\u578b\uff0c\u5176\u4e2d<em>p<\/em>\u662f\u6a21\u578b\u4e2d\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728 R \u4e2d\u8ba1\u7b97 Mallows Cp \u7684\u6700\u7b80\u5355\u65b9\u6cd5\u662f\u4f7f\u7528<strong>olsrr<\/strong>\u5305\u4e2d\u7684<a href=\"https:\/\/www.rdocumentation.org\/packages\/olsrr\/versions\/0.5.3\/topics\/ols_mallows_cp\" target=\"_blank\" rel=\"noopener\">ols_mallows_cp()<\/a>\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 Mallows&#8217; Cp\uff0c\u4ee5\u5728 R \u4e2d\u7684\u591a\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u9009\u62e9\u6700\u4f73\u56de\u5f52\u6a21\u578b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aR \u4e2d Mallows Cp \u7684\u8ba1\u7b97<\/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\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u62df\u5408\u4ee5\u4e0b\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5b8c\u6574\u6a21\u578b\u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\uff1a10 \u4e2a\u53d8\u91cf<\/span><\/li>\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\u5982\u4f55\u62df\u5408\u6bcf\u4e2a\u56de\u5f52\u6a21\u578b\u5e76\u4f7f\u7528<a href=\"https:\/\/www.rdocumentation.org\/packages\/olsrr\/versions\/0.5.3\/topics\/ols_mallows_cp\" target=\"_blank\" rel=\"noopener\">ols_mallows_cp()<\/a>\u51fd\u6570\u8ba1\u7b97\u6bcf\u4e2a\u6a21\u578b\u7684 Mallows Cp\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (olsrr)\n\n<span style=\"color: #008080;\">#fit full model\n<\/span>full_model &lt;- lm(mpg ~ ., data = mtcars)\n\n<span style=\"color: #008080;\">#fit three smaller 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\n<span style=\"color: #008080;\">#calculate Mallows' Cp for each model\n<\/span>ols_mallows_cp(model1, full_model)\n\n[1] 4.430434\n\nols_mallows_cp(model2, full_model)\n\n[1] 18.64082\n\nols_mallows_cp(model3, full_model)\n\n[1] 9.122225\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;\">\u6a21\u578b 1\uff1a <em>p<\/em> + 1 = 5\uff0c\u9526\u8475 Cp = 4.43<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a21\u578b 2\uff1a <em>p<\/em> + 1 = 3\uff0c\u9526\u8475 Cp = 18.64<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a21\u578b 3\uff1a <em>p<\/em> + 1 = 30\uff0c\u9526\u8475 Cp = 9.12<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6a21\u578b 1 \u7684 Mallows Cp \u503c\u6700\u63a5\u8fd1<em>p<\/em> + 1\uff0c\u8868\u660e\u5b83\u662f\u4e09\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u5bfc\u81f4\u504f\u5dee\u6700\u5c0f\u7684\u6700\u4f73\u6a21\u578b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5173\u4e8e Cp des mauves \u7684\u6ce8\u91ca<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5173\u4e8e Mallows Cp \u9700\u8981\u6ce8\u610f\u4ee5\u4e0b\u51e0\u70b9\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5982\u679c\u6bcf\u4e2a\u6f5c\u5728\u6a21\u578b\u5177\u6709\u8f83\u9ad8\u7684 Mallows Cp \u503c\uff0c\u5219\u8868\u660e\u6bcf\u4e2a\u6a21\u578b\u4e2d\u53ef\u80fd\u7f3a\u5c11\u4e00\u4e9b\u91cd\u8981\u7684\u9884\u6d4b\u53d8\u91cf\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5982\u679c\u591a\u4e2a\u6f5c\u5728\u6a21\u578b\u7684 Mallow&#8217;s Cp \u503c\u8f83\u4f4e\uff0c\u8bf7\u9009\u62e9\u503c\u6700\u4f4e\u7684\u6a21\u578b\u4f5c\u4e3a\u8981\u4f7f\u7528\u7684\u6700\u4f73\u6a21\u578b\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8bf7\u8bb0\u4f4f\uff0cMallows \u7684 Cp \u53ea\u662f\u5728\u591a\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u8bc6\u522b\u201c\u6700\u4f73\u201d\u56de\u5f52\u6a21\u578b\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u53e6\u4e00\u4e2a\u5e38\u7528\u7684\u5ea6\u91cf\u662f\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff0c\u5b83\u544a\u8bc9\u6211\u4eec<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e2d\u53ef\u4ee5\u7531\u6a21\u578b\u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u7684\u65b9\u5dee\u6bd4\u4f8b\uff0c\u5e76\u6839\u636e\u6240\u4f7f\u7528\u7684\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u8fdb\u884c\u8c03\u6574\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8981\u5728\u591a\u4e2a\u4e0d\u540c\u6a21\u578b\u7684\u5217\u8868\u4e2d\u786e\u5b9a\u54ea\u79cd\u56de\u5f52\u6a21\u578b\u6700\u597d\uff0c\u5efa\u8bae\u540c\u65f6\u67e5\u770b Mallows \u7684 Cp \u548c\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><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\/aic-\u81f3-r\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728R\u4e2d\u8ba1\u7b97AIC<\/a><br \/><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u56de\u5f52\u5206\u6790\u4e2d\uff0c Mallows Cp\u662f\u7528\u4e8e\u5728\u591a\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u9009\u62e9\u6700\u4f73\u56de\u5f52\u6a21\u578b\u7684\u5ea6\u91cf\u3002 \u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u8bc6\u522b\u5177\u6709\u63a5\u8fd1p [&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-1749","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 Mallows Cp - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u5206\u6b65\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97 Mallows Cp\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\/\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684\u7d2b\u8272cp\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta 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