{"id":1442,"date":"2023-07-26T09:25:06","date_gmt":"2023-07-26T09:25:06","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a4%9a%e9%87%8d-r-%e4%b8%8e-r-%e5%b9%b3%e6%96%b9\/"},"modified":"2023-07-26T09:25:06","modified_gmt":"2023-07-26T09:25:06","slug":"%e5%a4%9a%e9%87%8d-r-%e4%b8%8e-r-%e5%b9%b3%e6%96%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%a4%9a%e9%87%8d-r-%e4%b8%8e-r-%e5%b9%b3%e6%96%b9\/","title":{"rendered":"R \u500d\u6570\u6216 r \u5e73\u65b9\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5f53\u60a8\u4f7f\u7528\u5927\u591a\u6570\u7edf\u8ba1\u8f6f\u4ef6\u62df\u5408<a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52-1\/\" target=\"_blank\" rel=\"noopener\">\u56de\u5f52\u6a21\u578b<\/a>\u65f6\uff0c\u60a8\u7ecf\u5e38\u4f1a\u6ce8\u610f\u5230\u7ed3\u679c\u4e2d\u5b58\u5728\u4ee5\u4e0b\u4e24\u4e2a\u503c\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Multiple R\uff1a<\/strong>\u4e09\u4e2a\u6216\u66f4\u591a\u53d8\u91cf\u4e4b\u95f4\u7684\u591a\u91cd\u76f8\u5173\u7cfb\u6570\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>R \u65b9\uff1a<\/strong>\u8ba1\u7b97\u516c\u5f0f\u4e3a (Multiple R) <sup>2<\/sup> \uff0c\u8868\u793a\u56de\u5f52\u6a21\u578b\u7684<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e2d\u53ef\u7531\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u7684\u65b9\u5dee\u6bd4\u4f8b\u3002\u8be5\u503c\u5728 0 \u5230 1 \u4e4b\u95f4\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u7ecf\u5e38\u5bf9 R \u5e73\u65b9\u503c\u611f\u5174\u8da3\uff0c\u56e0\u4e3a\u5b83\u544a\u8bc9\u6211\u4eec\u9884\u6d4b\u53d8\u91cf\u5728\u9884\u6d4b\u54cd\u5e94\u53d8\u91cf\u503c\u65b9\u9762\u6709\u591a\u4e48\u6709\u7528\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u6bcf\u6b21\u6211\u4eec\u5411\u6a21\u578b\u6dfb\u52a0\u65b0\u7684\u9884\u6d4b\u53d8\u91cf\u65f6\uff0c\u5373\u4f7f\u9884\u6d4b\u53d8\u91cf\u6ca1\u6709\u7528\uff0cR \u65b9\u4e5f\u4e00\u5b9a\u4f1a\u589e\u52a0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8c03\u6574\u540e\u7684 R \u5e73\u65b9<\/strong>\u662f R \u5e73\u65b9\u7684\u4fee\u6539\u7248\u672c\uff0c\u53ef\u6839\u636e\u56de\u5f52\u6a21\u578b\u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\u6570\u91cf\u8fdb\u884c\u8c03\u6574\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8c03\u6574\u540e\u7684 R <sup>2<\/sup> = 1 \u2013 [(1-R <sup>2<\/sup> )*(n-1)\/(nk-1)]<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>R <sup>2<\/sup><\/strong> \uff1a\u6a21\u578b\u7684R <sup>2<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> \uff1a\u89c2\u5bdf\u6b21\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>k<\/strong> \uff1a\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u5f53\u60a8\u5411\u6a21\u578b\u4e2d\u6dfb\u52a0\u66f4\u591a\u9884\u6d4b\u53d8\u91cf\u65f6\uff0cR \u5e73\u65b9\u603b\u662f\u4f1a\u589e\u52a0\uff0c\u56e0\u6b64\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u4e2a\u6307\u6807\uff0c\u544a\u8bc9\u60a8\u6a21\u578b\u7684\u6709\u7528\u6027\uff0c<em>\u5e76\u6839\u636e\u6a21\u578b\u4e2d\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u8fdb\u884c\u8c03\u6574<\/em>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u6bcf\u4e2a\u672f\u8bed\uff0c\u8bf7\u8003\u8651\u4ee5\u4e0b\u793a\u4f8b\u3002<\/span><\/p>\n<h3><strong>\u793a\u4f8b\uff1a\u591a\u91cd R\u3001R \u5e73\u65b9\u548c\u8c03\u6574\u7684 R \u5e73\u65b9<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u5305\u542b 12 \u540d\u4e0d\u540c\u5b66\u751f\u7684\u4ee5\u4e0b\u4e09\u4e2a\u53d8\u91cf\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14253 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipler_vs_rsquared1.png\" alt=\"\" width=\"268\" height=\"260\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u4f7f\u7528<em>\u5b66\u4e60\u65f6\u95f4<\/em>\u548c<em>\u5f53\u524d\u6210\u7ee9<\/em>\u4f5c\u4e3a\u9884\u6d4b\u53d8\u91cf\uff0c<em>\u8003\u8bd5\u6210\u7ee9<\/em>\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\u6765\u62df\u5408\u591a\u5143\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u5e76\u5f97\u5230\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14254\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multipler_vs_rsquared2.png\" alt=\"\u591a\u91cd R \u4e0e R \u5e73\u65b9\" width=\"501\" height=\"339\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u89c2\u5bdf\u4ee5\u4e0b\u4e09\u4e2a\u6307\u6807\u7684\u503c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u500d\u6570 R\uff1a0.978<\/strong> \u3002\u8fd9\u8868\u793a\u54cd\u5e94\u53d8\u91cf\u548c\u4e24\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e4b\u95f4\u7684\u591a\u91cd\u76f8\u5173\u6027\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>R \u65b9\uff1a0.956<\/strong> \u3002\u8ba1\u7b97\u516c\u5f0f\u4e3a (Multiple R) <sup>2<\/sup> = (0.978) <sup>2<\/sup> = 0.956\u3002\u8fd9\u544a\u8bc9\u6211\u4eec\uff0c95.6% \u7684\u8003\u8bd5\u6210\u7ee9\u5dee\u5f02\u53ef\u4ee5\u901a\u8fc7\u5b66\u751f\u5b66\u4e60\u7684\u5c0f\u65f6\u6570\u548c\u5f53\u524d\u8bfe\u7a0b\u6210\u7ee9\u6765\u89e3\u91ca\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff1a0.946<\/strong> \u3002\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8c03\u6574\u540e\u7684 R <sup>2<\/sup><\/strong> = 1 \u2013 [(1-R <sup>2<\/sup> )*(n-1)\/(nk-1)] = 1 \u2013 [(1-.956)*(12-1)\/(12-2-1) ] = 0.946\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u8868\u793a R \u5e73\u65b9\u503c\uff0c<em>\u6839\u636e\u6a21\u578b\u4e2d\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u8fdb\u884c\u8c03\u6574<\/em>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u62df\u5408\u53e6\u4e00\u4e2a\u5177\u6709 10 \u4e2a\u9884\u6d4b\u53d8\u91cf\u7684\u56de\u5f52\u6a21\u578b\uff0c\u5e76\u53d1\u73b0\u8be5\u6a21\u578b\u7684\u8c03\u6574\u540e R \u5e73\u65b9\u4e3a<strong>0.88<\/strong> \uff0c\u5219\u6b64\u5ea6\u91cf\u5c06\u5f88\u6709\u7528\u3002\u8fd9\u8868\u660e\u53ea\u6709\u4e24\u4e2a\u9884\u6d4b\u53d8\u91cf\u7684\u56de\u5f52\u6a21\u578b\u66f4\u597d\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u66f4\u9ad8\u7684\u8c03\u6574 R \u5e73\u65b9\u503c\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\/\u591a\u5143\u7ebf\u6027\u56de\u5f52-1\/\" target=\"_blank\" rel=\"noopener\">\u591a\u5143\u7ebf\u6027\u56de\u5f52\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u826f\u597d\u7684-r-\u5e73\u65b9\u503c\/\" target=\"_blank\" rel=\"noopener\">\u4ec0\u4e48\u662f\u597d\u7684 R \u5e73\u65b9\u503c\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f53\u60a8\u4f7f\u7528\u5927\u591a\u6570\u7edf\u8ba1\u8f6f\u4ef6\u62df\u5408\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u60a8\u7ecf\u5e38\u4f1a\u6ce8\u610f\u5230\u7ed3\u679c\u4e2d\u5b58\u5728\u4ee5\u4e0b\u4e24\u4e2a\u503c\uff1a Multiple R\uff1a\u4e09\u4e2a\u6216\u66f4\u591a\u53d8 [&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-1442","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>R \u500d\u6570\u4e0e R \u5e73\u65b9\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f - \u7edf\u8ba1<\/title>\n<meta name=\"description\" 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