{"id":682,"date":"2023-07-29T02:54:19","date_gmt":"2023-07-29T02:54:19","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97r%e4%b8%ad%e7%9a%84rmse\/"},"modified":"2023-07-29T02:54:19","modified_gmt":"2023-07-29T02:54:19","slug":"%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97r%e4%b8%ad%e7%9a%84rmse","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%84rmse\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u8ba1\u7b97 rmse"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5747\u65b9\u6839\u8bef\u5dee (RMSE)<\/strong>\u662f\u4e00\u79cd\u8861\u91cf\u6307\u6807\uff0c\u53ef\u4ee5\u544a\u8bc9\u6211\u4eec\u5728\u56de\u5f52\u5206\u6790\u4e2d\u9884\u6d4b\u503c\u4e0e\u89c2\u6d4b\u503c\u7684\u5e73\u5747\u5dee\u8ddd\u6709\u591a\u5927\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>RMSE<\/strong> = \u221a[ \u03a3(P <sub>i<\/sub> \u2013 O <sub>i<\/sub> ) <sup>2<\/sup> \/ n ]<\/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;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u4e86\u4e24\u79cd\u53ef\u7528\u4e8e\u5728 R \u4e2d\u8ba1\u7b97 RMSE \u7684\u65b9\u6cd5\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65b9\u6cd5\u4e00\uff1a\u81ea\u5df1\u5199\u51fd\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u6570\u636e\u96c6\uff0c\u5176\u4e2d\u4e00\u5217\u5305\u542b\u5b9e\u9645\u6570\u636e\u503c\uff0c\u4e00\u5217\u5305\u542b\u9884\u6d4b\u6570\u636e\u503c\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset<\/span>\ndata &lt;- data.frame(actual=c(34, 37, 44, 47, 48, 48, 46, 43, 32, 27, 26, 24),\n                   predicted=c(37, 40, 46, 44, 46, 50, 45, 44, 34, 30, 22, 23))\n<span style=\"color: #008080;\">\n#view dataset<\/span>\ndata\n\n   actual predicted\n1 34 37\n2 37 40\n3 44 46\n4 47 44\n5 48 46\n6 48 50\n7 46 45\n8 43 44\n9 32 34\n10 27 30\n11 26 22\n12 24 23\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8ba1\u7b97 RMSE\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u51fd\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate RMSE<\/span>\nsqrt(mean((data$actual - data$predicted)^2))\n\n[1] 2.43242\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5747\u65b9\u8bef\u5dee\u4e3a<strong>2.43242<\/strong> \u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65b9\u6cd52\uff1a\u4f7f\u7528\u5305<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u4f7f\u7528<strong>Metrics<\/strong>\u5305\u4e2d\u7684<strong>rmse()<\/strong>\u51fd\u6570\u8ba1\u7b97\u540c\u4e00\u6570\u636e\u96c6\u7684 RMSE\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>rmse\uff08\u5b9e\u9645\uff0c\u8ba1\u5212\uff09<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u771f\u5b9e\u503c\uff1a<\/strong>\u771f\u5b9e\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u9884\u6d4b\uff1a<\/strong>\u9884\u6d4b\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8fd9\u662f\u6211\u4eec\u5728\u793a\u4f8b\u4e2d\u4f7f\u7528\u7684\u8bed\u6cd5\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load Metrics package\n<\/span>library(Metrics)\n\n<span style=\"color: #008080;\">calculate RMSE\n<\/span>rmse(data$actual, data$predicted)\n\n[1] 2.43242<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5747\u65b9\u8bef\u5dee\u4e3a<strong>2.43242<\/strong> \uff0c\u8fd9\u4e0e\u6211\u4eec\u4e4b\u524d\u4f7f\u7528\u6211\u4eec\u81ea\u5df1\u7684\u51fd\u6570\u8ba1\u7b97\u7684\u7ed3\u679c\u76f8\u7b26\u3002<\/span><\/p>\n<h2><strong>\u5982\u4f55\u89e3\u91ca RMSE<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">RMSE \u662f\u67e5\u770b\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u62df\u5408\u7a0b\u5ea6\u7684\u6709\u7528\u65b9\u6cd5\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">RMSE \u8d8a\u5927\uff0c\u9884\u6d4b\u503c\u548c\u89c2\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u8d8a\u5927\uff0c\u610f\u5473\u7740\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u7684\u62df\u5408\u7a0b\u5ea6\u8d8a\u5dee\u3002\u76f8\u53cd\uff0cRMSE \u8d8a\u5c0f\uff0c\u6a21\u578b\u5bf9\u6570\u636e\u7684\u62df\u5408\u6548\u679c\u8d8a\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bd4\u8f83\u4e24\u4e2a\u4e0d\u540c\u6a21\u578b\u7684 RMSE \u4ee5\u4e86\u89e3\u54ea\u4e2a\u6a21\u578b\u6700\u9002\u5408\u6570\u636e\u5c24\u5176\u6709\u7528\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 noreferrer\">\u5747\u65b9\u6839\u8bef\u5dee\u8ba1\u7b97\u5668<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684mse\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728R\u4e2d\u8ba1\u7b97MSE<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r\u5361\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97 MAPE<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5747\u65b9\u6839\u8bef\u5dee (RMSE)\u662f\u4e00\u79cd\u8861\u91cf\u6307\u6807\uff0c\u53ef\u4ee5\u544a\u8bc9\u6211\u4eec\u5728\u56de\u5f52\u5206\u6790\u4e2d\u9884\u6d4b\u503c\u4e0e\u89c2\u6d4b\u503c\u7684\u5e73\u5747\u5dee\u8ddd\u6709\u591a\u5927\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a [&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-682","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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