{"id":1037,"date":"2023-07-27T21:42:44","date_gmt":"2023-07-27T21:42:44","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%96%b0%e9%97%bb%e7%bb%9f%e8%ae%a1\/"},"modified":"2023-07-27T21:42:44","modified_gmt":"2023-07-27T21:42:44","slug":"%e6%96%b0%e9%97%bb%e7%bb%9f%e8%ae%a1","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%96%b0%e9%97%bb%e7%bb%9f%e8%ae%a1\/","title":{"rendered":"\u65b0\u95fb\u7edf\u8ba1\u6570\u636e\u662f\u4ec0\u4e48\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6211\u4eec\u62df\u5408<a href=\"https:\/\/statorials.org\/cn\/\u7ebf\u6027\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u56de\u5f52\u6a21\u578b<\/a>\u6709\u4e24\u4e2a\u539f\u56e0\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong><em>\u89e3\u91ca<\/em>\u4e00\u4e2a\u6216\u591a\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u89e3\u91ca\u53d8\u91cf<\/a>\u4e0e<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong>\u6839\u636e\u4e00\u4e2a\u6216\u591a\u4e2a\u89e3\u91ca\u53d8\u91cf\u7684\u503c<em>\u9884\u6d4b<\/em>\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u7684\u76ee\u6807\u662f<strong>(2)<\/strong><em>\u9884\u6d4b<\/em>\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u65f6\uff0c\u6211\u4eec\u5e0c\u671b\u786e\u4fdd\u4f7f\u7528\u5c3d\u53ef\u80fd\u6700\u4f73\u7684\u56de\u5f52\u6a21\u578b\u6765\u6267\u884c\u6b64\u64cd\u4f5c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u7528\u6765\u627e\u5230\u5bf9\u65b0\u6570\u636e\u505a\u51fa\u6700\u4f73\u9884\u6d4b\u7684\u56de\u5f52\u6a21\u578b\u7684\u4e00\u4e2a\u6307\u6807\u662f<strong>PRESS \u7edf\u8ba1\u91cf<\/strong>\uff0c\u5b83\u4ee3\u8868\u201c<strong>\u9884\u6d4b<\/strong><strong>\u6b8b\u5dee<\/strong><strong>\u5e73\u65b9\u548c<\/strong><strong>\u201d<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u538b\u529b = \u03a3(e <sub>i<\/sub> \/ (1-h <sub>ii<\/sub> )) <sup>2<\/sup><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> \uff1a<\/strong>\u7b2c i<sup>\u4e2a<\/sup>\u6b8b\u57fa\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>ii<\/sub> \uff1a<\/strong><sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u5bf9\u6a21\u578b\u62df\u5408\u7684\u5f71\u54cd\uff08\u4e5f\u79f0\u4e3a\u201c\u6760\u6746\u201d\uff09\u7684\u5ea6\u91cf\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7ed9\u5b9a\u591a\u4e2a\u56de\u5f52\u6a21\u578b\uff0c\u5e94\u9009\u62e9 PRESS \u6700\u4f4e\u7684\u6a21\u578b\u4f5c\u4e3a\u5728\u65b0\u6570\u636e\u96c6\u4e0a\u8868\u73b0\u6700\u4f73\u7684\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u6f14\u793a\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u4e09\u79cd\u4e0d\u540c\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684 PRESS \u7edf\u8ba1\u91cf\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aPRESS \u7edf\u8ba1\u6570\u636e\u7684\u8ba1\u7b97<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u5305\u542b\u4e09\u4e2a\u89e3\u91ca\u53d8\u91cf<sub>x1<\/sub> \u3001 <sub>x2<\/sub>\u548c<sub>x3<\/sub>\u4ee5\u53ca\u4e00\u4e2a\u54cd\u5e94\u53d8\u91cf y \u7684\u6570\u636e\u96c6\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data &lt;- <span style=\"color: #3366ff;\">data.frame<\/span> (x1 = c(2, 3, 3, 4, 4, 6, 8, 9, 9, 9),\n                   x2 = c(2, 2, 3, 3, 2, 3, 5, 6, 6, 7),\n                   x3 = c(12, 14, 14, 13, 8, 8, 9, 14, 11, 7),\n                    y = c(23, 24, 15, 9, 14, 17, 22, 26, 34, 35))\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528<strong>lm()<\/strong>\u51fd\u6570\u5c06\u4e09\u79cd\u4e0d\u540c\u7684\u56de\u5f52\u6a21\u578b\u62df\u5408\u5230\u8be5\u6570\u636e\u96c6\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model1 &lt;- lm(y~x1, data=data)\n\nmodel2 &lt;- lm(y~x1+x2, data=data)\n\nmodel3 &lt;- lm(y~x2+x3, data=data)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u8ba1\u7b97\u6bcf\u4e2a\u6a21\u578b\u7684 PRESS \u7edf\u8ba1\u91cf\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create custom function to calculate the PRESS statistic<\/span>\nPRESS &lt;- <span style=\"color: #008000;\">function<\/span> (model) {\n    i &lt;- <span style=\"color: #3366ff;\">residuals<\/span> (model)\/(1 - lm. <span style=\"color: #3366ff;\">influence<\/span> (model)$ <span style=\"color: #3366ff;\">hat<\/span> )\n    sum(i^2)\n}\n\n<span style=\"color: #008080;\">#calculate PRESS for model 1<\/span>\nPRESS(model1)\n\n[1] 590.2197\n\n<span style=\"color: #008080;\">#calculate PRESS for model 2<\/span>\nPRESS(model2)\n\n[1] 519.6435\n\n<span style=\"color: #008080;\">#calculate PRESS for model 3<\/span>\nPRESS(model3)\n\n[1] 537.7503\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4e8b\u5b9e\u8bc1\u660e\uff0cPRESS \u7edf\u8ba1\u91cf\u6700\u4f4e\u7684\u6a21\u578b\u662f\u6a21\u578b 2\uff0c\u5176 PRESS \u7edf\u8ba1\u91cf\u4e3a<strong>519.6435<\/strong> \u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4f1a\u9009\u62e9\u6700\u9002\u5408\u5bf9\u65b0\u6570\u636e\u96c6\u8fdb\u884c\u9884\u6d4b\u7684\u6a21\u578b\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\/\u7ebf\u6027\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u7b80\u7ea6\u6a21\u578b\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4ec0\u4e48\u662f\u7b80\u7ea6\u6a21\u578b\uff1f<\/a><br \/> <a href=\"https:\/\/statorials.org\/cn\/\u826f\u597d\u7684-r-\u5e73\u65b9\u503c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4ec0\u4e48\u662f\u597d\u7684 R \u5e73\u65b9\u503c\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6211\u4eec\u62df\u5408\u56de\u5f52\u6a21\u578b\u6709\u4e24\u4e2a\u539f\u56e0\uff1a (1)\u89e3\u91ca\u4e00\u4e2a\u6216\u591a\u4e2a\u89e3\u91ca\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002 (2)\u6839\u636e\u4e00\u4e2a\u6216 [&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-1037","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>\u65b0\u95fb\u7edf\u8ba1\u6570\u636e\u662f\u4ec0\u4e48\uff1f - \u7edf\u8ba1<\/title>\n<meta name=\"description\" content=\"PRESS 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