{"id":1880,"date":"2023-07-24T15:06:40","date_gmt":"2023-07-24T15:06:40","guid":{"rendered":"https:\/\/statorials.org\/cn\/rmse-%e4%b8%8e-r-%e5%b9%b3%e6%96%b9\/"},"modified":"2023-07-24T15:06:40","modified_gmt":"2023-07-24T15:06:40","slug":"rmse-%e4%b8%8e-r-%e5%b9%b3%e6%96%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/rmse-%e4%b8%8e-r-%e5%b9%b3%e6%96%b9\/","title":{"rendered":"Rmse \u4e0e r \u5e73\u65b9\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u56de\u5f52\u6a21\u578b\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u5f53\u6211\u4eec\u62df\u5408\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u90fd\u60f3\u4e86\u89e3\u6a21\u578b\u201c\u62df\u5408\u201d\u6570\u636e\u7684\u7a0b\u5ea6\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6a21\u578b\u80fd\u591f\u5982\u4f55\u5f88\u597d\u5730\u4f7f\u7528\u9884\u6d4b\u53d8\u91cf\u7684\u503c\u6765\u9884\u6d4b<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u7684\u503c\uff1f<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7edf\u8ba1\u5b66\u5bb6\u7ecf\u5e38\u7528\u6765\u91cf\u5316\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u7684\u4e24\u4e2a\u6307\u6807\u662f\u5747\u65b9\u6839\u8bef\u5dee (RMSE) \u548c R \u5e73\u65b9 ( <sup>R2<\/sup> )\uff0c\u5176\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RMSE<\/strong> \uff1a\u4e00\u4e2a\u6307\u6807\uff0c\u544a\u8bc9\u6211\u4eec\u6570\u636e\u96c6\u4e2d\u7684\u9884\u6d4b\u503c\u4e0e\u89c2\u6d4b\u503c\u7684\u5e73\u5747\u5dee\u8ddd\u6709\u591a\u5927\u3002 RMSE \u8d8a\u4f4e\uff0c\u6a21\u578b\u8d8a\u9002\u5408\u6570\u636e\u96c6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">RMSE = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(P <sub>i<\/sub> \u2013 O <sub>i<\/sub> ) <sup>2<\/sup> \/ n<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03a3\u662f\u4e00\u4e2a\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\">P <sub>i<\/sub>\u662f<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u9884\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">O <sub>i<\/sub>\u662f<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u89c2\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\">n \u662f\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>R <sup>2<\/sup><\/strong> \uff1a\u4e00\u4e2a\u5ea6\u91cf\uff0c\u544a\u8bc9\u6211\u4eec\u56de\u5f52\u6a21\u578b\u7684\u54cd\u5e94\u53d8\u91cf\u4e2d\u6709\u591a\u5c11\u65b9\u5dee\u53ef\u4ee5\u7531\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u3002\u8be5\u503c\u4ecb\u4e8e 0 \u548c 1 \u4e4b\u95f4\u3002R <sup>2<\/sup>\u503c\u8d8a\u9ad8\uff0c\u6a21\u578b\u5bf9\u4e00\u7ec4\u6570\u636e\u7684\u62df\u5408\u6548\u679c\u8d8a\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sup>R2<\/sup> = 1 \u2013 (RSS\/TSS)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">RSS\u8868\u793a\u6b8b\u5dee\u7684\u5e73\u65b9\u548c<\/span><\/li>\n<li><span style=\"color: #000000;\">TSS\u8868\u793a\u603b\u5e73\u65b9\u548c<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>RMSE \u4e0e R <sup>2<\/sup> \uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5728\u8bc4\u4f30\u6a21\u578b\u4e0e\u6570\u636e\u96c6\u7684\u62df\u5408\u5ea6\u65f6\uff0c\u8ba1\u7b97<em>RMSE<\/em>\u503c\u548c R <sup>2<\/sup>\u503c\u975e\u5e38\u6709\u7528\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u6307\u6807\u90fd\u544a\u8bc9\u6211\u4eec\u4e0d\u540c\u7684\u4fe1\u606f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u65b9\u9762\uff0cRMSE \u544a\u8bc9\u6211\u4eec\u56de\u5f52\u6a21\u578b\u7684\u9884\u6d4b\u503c\u4e0e\u771f\u5b9e\u503c\u4e4b\u95f4\u7684\u5178\u578b\u8ddd\u79bb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u53e6\u4e00\u65b9\u9762\uff0cR <sup>2<\/sup>\u544a\u8bc9\u6211\u4eec\u9884\u6d4b\u53d8\u91cf\u53ef\u4ee5\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u89e3\u91ca\u54cd\u5e94\u53d8\u91cf\u7684\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff0c\u663e\u793a\u67d0\u4e2a\u57ce\u5e02\u7684\u623f\u5c4b\u4fe1\u606f\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18019 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse_r2_1.png\" alt=\"\" width=\"339\" height=\"198\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u5047\u8bbe\u6211\u4eec\u8981\u4f7f\u7528\u5e73\u65b9\u82f1\u5c3a\u3001\u6d74\u5ba4\u6570\u91cf\u548c\u5367\u5ba4\u6570\u91cf\u6765\u9884\u6d4b\u623f\u5c4b\u7684\u4ef7\u683c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u91c7\u7528\u4ee5\u4e0b\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ef7\u683c = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> \uff08\u5e73\u65b9\u82f1\u5c3a\uff09+ \u03b2 <sub>2<\/sub> \uff08\u6d74\u5ba4\u6570\u91cf\uff09+ \u03b2 <sub>3<\/sub> \uff08\u5367\u5ba4\u6570\u91cf\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u5047\u8bbe\u6211\u4eec\u62df\u5408\u8fd9\u4e2a\u6a21\u578b\uff0c\u7136\u540e\u8ba1\u7b97\u4ee5\u4e0b\u6307\u6807\u6765\u8bc4\u4f30\u6a21\u578b\u7684\u62df\u5408\u4f18\u5ea6\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5747\u65b9\u6839\u8bef\u5dee<\/strong>\uff1a14.342<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sup>R2<\/sup><\/strong> \uff1a0.856<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>RMSE<\/strong>\u503c\u544a\u8bc9\u6211\u4eec\uff0c\u6a21\u578b\u9884\u6d4b\u623f\u4ef7\u4e0e\u5b9e\u9645\u623f\u4ef7\u4e4b\u95f4\u7684\u5e73\u5747\u5dee\u5f02\u4e3a 14,342 \u7f8e\u5143\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>R <sup>2<\/sup><\/strong>\u503c\u544a\u8bc9\u6211\u4eec\uff0c\u6a21\u578b\u7684\u9884\u6d4b\u53d8\u91cf\uff08\u5e73\u65b9\u82f1\u5c3a\u3001\u6d74\u5ba4\u6570\u91cf\u548c\u5367\u5ba4\u6570\u91cf\uff09\u80fd\u591f\u89e3\u91ca 85.6% \u7684\u623f\u4ef7\u53d8\u5316\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u786e\u5b9a\u8fd9\u4e9b\u503c\u662f\u5426\u201c\u597d\u201d\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u6d4b\u91cf\u503c\u4e0e\u66ff\u4ee3\u6a21\u578b\u8fdb\u884c\u6bd4\u8f83\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u62df\u5408\u53e6\u4e00\u4e2a\u4f7f\u7528\u4e0d\u540c\u9884\u6d4b\u53d8\u91cf\u96c6\u7684\u56de\u5f52\u6a21\u578b\uff0c\u5e76\u8ba1\u7b97\u8be5\u6a21\u578b\u7684\u4ee5\u4e0b\u6307\u6807\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u5747\u65b9\u6839\u8bef\u5dee<\/strong>\uff1a19.355<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sup>R2<\/sup><\/strong> \uff1a0.765<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u8fd9\u4e2a\u6a21\u578b\u7684 RMSE \u503c\u6bd4\u4e4b\u524d\u7684\u6a21\u578b\u8981\u9ad8\u3002\u8fd8\u53ef\u4ee5\u770b\u51fa\uff0c\u8be5\u6a21\u578b\u7684R <sup>2<\/sup>\u503c\u4f4e\u4e8e\u4e4b\u524d\u6a21\u578b\u7684R 2 \u503c\u3002\u8fd9\u544a\u8bc9\u6211\u4eec\uff0c\u8fd9\u4e2a\u6a21\u578b\u5bf9\u6570\u636e\u7684\u62df\u5408\u7a0b\u5ea6\u4e0d\u5982\u4e4b\u524d\u7684\u6a21\u578b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6982\u62ec<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u672c\u6587\u63d0\u51fa\u7684\u8981\u70b9\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">RMSE \u548c R <sup>2<\/sup>\u91cf\u5316\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\">RMSE \u544a\u8bc9\u6211\u4eec\u56de\u5f52\u6a21\u578b\u4ee5\u7edd\u5bf9\u503c\u9884\u6d4b\u54cd\u5e94\u53d8\u91cf\u503c\u7684\u80fd\u529b\uff0c\u800c R <sup>2<\/sup>\u544a\u8bc9\u6211\u4eec\u6a21\u578b\u4ee5\u767e\u5206\u6bd4\u503c\u9884\u6d4b\u54cd\u5e94\u53d8\u91cf\u503c\u7684\u80fd\u529b\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u8ba1\u7b97\u7ed9\u5b9a\u6a21\u578b\u7684 RMSE \u548c<sup>R2<\/sup>\u975e\u5e38\u6709\u7528\uff0c\u56e0\u4e3a\u6bcf\u4e2a\u6307\u6807\u90fd\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u6709\u7528\u7684\u4fe1\u606f\u3002<\/span><\/li>\n<\/ul>\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\/r-\u4e0e-r-\u5e73\u65b9\/\" target=\"_blank\" rel=\"noopener\">R \u4e0e R-Square\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f<\/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>\u56de\u5f52\u6a21\u578b\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002 \u6bcf\u5f53\u6211\u4eec\u62df\u5408\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u90fd\u60f3\u4e86\u89e3\u6a21\u578b\u201c\u62df\u5408\u201d\u6570\u636e [&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-1880","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>RMSE \u4e0e R \u5e73\u65b9\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u4e86\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u62df\u5408\u5ea6\u65f6 RMSE \u548c R \u5e73\u65b9\u4e4b\u95f4\u7684\u5dee\u5f02\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\/rmse-\u4e0e-r-\u5e73\u65b9\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"RMSE \u4e0e R \u5e73\u65b9\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u4e2a\u6307\u6807\uff1f\" \/>\n<meta property=\"og:description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u4e86\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u62df\u5408\u5ea6\u65f6 RMSE \u548c R \u5e73\u65b9\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/cn\/rmse-\u4e0e-r-\u5e73\u65b9\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-24T15:06:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse_r2_1.png\" \/>\n<meta name=\"author\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" 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