{"id":1718,"date":"2023-07-25T06:39:15","date_gmt":"2023-07-25T06:39:15","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e8%a7%a3%e9%87%8armse\/"},"modified":"2023-07-25T06:39:15","modified_gmt":"2023-07-25T06:39:15","slug":"%e5%a6%82%e4%bd%95%e8%a7%a3%e9%87%8armse","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e8%a7%a3%e9%87%8armse\/","title":{"rendered":"\u5982\u4f55\u89e3\u91ca\u5747\u65b9\u6839\u8bef\u5dee (rmse)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u7ebf\u6027\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener\">\u56de\u5f52\u5206\u6790<\/a>\u662f\u4e00\u79cd\u53ef\u4ee5\u7528\u6765\u7406\u89e3\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\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\u5173\u7cfb\u7684\u6280\u672f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u8ba1\u7b97<strong>\u5747\u65b9\u8bef\u5dee<\/strong>\uff0c\u5b83\u662f\u4e00\u4e2a\u6307\u6807\uff0c\u544a\u8bc9\u6211\u4eec\u6a21\u578b\u7684\u9884\u6d4b\u503c\u4e0e\u6570\u636e\u96c6\u7684\u5b9e\u9645\u503c\u4e4b\u95f4\u7684\u5e73\u5747\u8ddd\u79bb\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">RMSE \u8d8a\u4f4e\uff0c\u7ed9\u5b9a\u6a21\u578b\u5c31\u8d8a\u80fd\u201c\u62df\u5408\u201d\u6570\u636e\u96c6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6c42\u5747\u65b9\u8bef\u5dee\u7684\u516c\u5f0f\uff08\u901a\u5e38\u7f29\u5199\u4e3a<strong>RMSE<\/strong> \uff09\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RMSE =<\/strong> \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\u5947\u7279\u7684\u7b26\u53f7\uff0c\u610f\u601d\u662f\u201c\u548c\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\">P <sub>i<\/sub>\u662f\u6570\u636e\u96c6\u4e2d<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\u6570\u636e\u96c6\u4e2d<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;\">\u4ee5\u4e0b\u793a\u4f8b\u663e\u793a\u5982\u4f55\u89e3\u91ca\u7ed9\u5b9a\u56de\u5f52\u6a21\u578b\u7684 RMSE\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u5982\u4f55\u89e3\u91ca\u56de\u5f52\u6a21\u578b\u7684 RMSE<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u5efa\u7acb\u4e00\u4e2a\u56de\u5f52\u6a21\u578b\uff0c\u4f7f\u7528\u201c\u5b66\u4e60\u65f6\u95f4\u201d\u6765\u9884\u6d4b\u5b66\u751f\u5728\u7279\u5b9a\u9ad8\u8003\u4e2d\u7684\u201c\u8003\u8bd5\u6210\u7ee9\u201d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u6536\u96c6\u4e86 15 \u540d\u5b66\u751f\u7684\u4ee5\u4e0b\u6570\u636e\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16895 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse_interpret1.png\" alt=\"\" width=\"190\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u4f7f\u7528\u7edf\u8ba1\u8f6f\u4ef6\uff08\u5982Excel\u3001SPSS\u3001R\u3001Python\uff09\u7b49\u3002\u627e\u5230\u4ee5\u4e0b\u62df\u5408\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8003\u8bd5\u6210\u7ee9 = 75.95 + 3.08*\uff08\u5b66\u4e60\u65f6\u95f4\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e2a\u65b9\u7a0b\u6839\u636e\u6bcf\u4e2a\u5b66\u751f\u7684\u5b66\u4e60\u5c0f\u65f6\u6570\u6765\u9884\u6d4b\u4ed6\u4eec\u7684\u8003\u8bd5\u6210\u7ee9\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16896 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse_interpret2.png\" alt=\"\" width=\"292\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u6bcf\u4e2a\u9884\u6d4b\u8003\u8bd5\u5206\u6570\u4e0e\u5b9e\u9645\u8003\u8bd5\u5206\u6570\u4e4b\u95f4\u7684\u5e73\u65b9\u5dee\u3002\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u53d6\u8fd9\u4e9b\u5dee\u5f02\u5e73\u5747\u503c\u7684\u5e73\u65b9\u6839\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16897 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/rmse_interpret3.png\" alt=\"\" width=\"420\" height=\"412\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u56de\u5f52\u6a21\u578b\u7684 RMSE \u4e3a<strong>5.681<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u60f3\u4e00\u4e0b\uff0c\u56de\u5f52\u6a21\u578b\u7684<a href=\"https:\/\/statorials.org\/cn\/\u6b8b\u7559\u7269\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee<\/a>\u662f\u89c2\u6d4b\u6570\u636e\u503c\u4e0e\u6a21\u578b\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee<\/strong>= (P <sub>i<\/sub> \u2013 O <sub>i<\/sub> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">P <sub>i<\/sub>\u662f\u6570\u636e\u96c6\u4e2d<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\u6570\u636e\u96c6\u4e2d<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u89c2\u6d4b\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8bf7\u8bb0\u4f4f\uff0c\u56de\u5f52\u6a21\u578b\u7684 RMSE \u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RMSE =<\/strong> \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;\">\u8fd9\u610f\u5473\u7740<strong>RMSE \u8868\u793a\u6b8b\u5dee\u65b9\u5dee\u7684\u5e73\u65b9\u6839\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u662f\u4e00\u4e2a\u503c\u5f97\u4e86\u89e3\u7684\u6709\u7528\u503c\uff0c\u56e0\u4e3a\u5b83\u8ba9\u6211\u4eec\u4e86\u89e3\u89c2\u6d4b\u6570\u636e\u503c\u548c\u9884\u6d4b\u6570\u636e\u503c\u4e4b\u95f4\u7684\u5e73\u5747\u8ddd\u79bb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u4e0e\u6a21\u578b\u7684<a href=\"https:\/\/statorials.org\/cn\/\u826f\u597d\u7684-r-\u5e73\u65b9\u503c\/\" target=\"_blank\" rel=\"noopener\">R \u5e73\u65b9<\/a>\u5f62\u6210\u5bf9\u6bd4\uff0c\u540e\u8005\u544a\u8bc9\u6211\u4eec\u54cd\u5e94\u53d8\u91cf\u4e2d\u7684\u65b9\u5dee\u6709\u591a\u5c11\u53ef\u4ee5\u7531\u6a21\u578b\u7684\u9884\u6d4b\u53d8\u91cf\u6765\u89e3\u91ca\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4e0d\u540c\u6a21\u578b\u7684RMSE\u503c\u6bd4\u8f83<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">RMSE \u5bf9\u4e8e\u6bd4\u8f83\u4e0d\u540c\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u5ea6\u7279\u522b\u6709\u7528\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u5efa\u7acb\u4e00\u4e2a\u56de\u5f52\u6a21\u578b\u6765\u9884\u6d4b\u5b66\u751f\u7684\u8003\u8bd5\u6210\u7ee9\uff0c\u5e76\u4e14\u6211\u4eec\u60f3\u8981\u5728\u51e0\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u627e\u5230\u6700\u597d\u7684\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u62df\u5408\u4e09\u4e2a\u4e0d\u540c\u7684\u56de\u5f52\u6a21\u578b\u5e76\u627e\u5230\u5b83\u4eec\u76f8\u5e94\u7684 RMSE \u503c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6a21\u578b 1 \u7684 RMSE\uff1a <strong>14.5<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a21\u578b 2 \u7684 RMSE\uff1a <strong>16.7<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6a21\u578b 3 \u7684 RMSE\uff1a <strong>9.8<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6a21\u578b 3 \u7684 RMSE \u6700\u4f4e\uff0c\u8fd9\u544a\u8bc9\u6211\u4eec\u5b83\u80fd\u591f\u5728\u4e09\u4e2a\u6f5c\u5728\u6a21\u578b\u4e2d\u6700\u597d\u5730\u62df\u5408\u6570\u636e\u96c6\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\/\u5747\u65b9\u6839\u8bef\u5dee\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5747\u65b9\u6839\u8bef\u5dee\u8ba1\u7b97\u5668<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/excel\u5747\u65b9\u6839\u8bef\u5dee\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97 RMSE<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684rmse\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97 RMSE<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5747\u65b9\u6839\u8bef\u5dee-python\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u7528 Python \u8ba1\u7b97 RMSE<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u56de\u5f52\u5206\u6790\u662f\u4e00\u79cd\u53ef\u4ee5\u7528\u6765\u7406\u89e3\u4e00\u4e2a\u6216\u591a\u4e2a\u9884\u6d4b\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u6280\u672f\u3002 \u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u7684\u4e00\u79cd\u65b9 [&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-1718","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\u89e3\u91ca\u5747\u65b9\u6839\u8bef\u5dee (RMSE)<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u5982\u4f55\u89e3\u91ca\u56de\u5f52\u6a21\u578b\u7684\u5747\u65b9\u6839\u8bef\u5dee (RMSE)\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\u89e3\u91carmse\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5982\u4f55\u89e3\u91ca\u5747\u65b9\u6839\u8bef\u5dee (RMSE)\" \/>\n<meta property=\"og:description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u793a\u4f8b\u89e3\u91ca\u5982\u4f55\u89e3\u91ca\u56de\u5f52\u6a21\u578b\u7684\u5747\u65b9\u6839\u8bef\u5dee (RMSE)\u3002\" \/>\n<meta property=\"og:url\" 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