{"id":2169,"date":"2023-07-23T10:05:00","date_gmt":"2023-07-23T10:05:00","guid":{"rendered":"https:\/\/statorials.org\/cn\/auc-%e5%88%86%e6%95%b0%e6%98%af%e5%a4%9a%e5%b0%91\/"},"modified":"2023-07-23T10:05:00","modified_gmt":"2023-07-23T10:05:00","slug":"auc-%e5%88%86%e6%95%b0%e6%98%af%e5%a4%9a%e5%b0%91","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/auc-%e5%88%86%e6%95%b0%e6%98%af%e5%a4%9a%e5%b0%91\/","title":{"rendered":"\u4ec0\u4e48\u88ab\u8ba4\u4e3a\u662f\u826f\u597d\u7684 auc \u5206\u6570\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u903b\u8f91\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u903b\u8f91\u56de\u5f52<\/a>\u662f\u5f53\u54cd\u5e94\u53d8\u91cf\u662f\u4e8c\u5143\u65f6\u6211\u4eec\u7528\u6765\u62df\u5408\u56de\u5f52\u6a21\u578b\u7684\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8bc4\u4f30\u903b\u8f91\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u67e5\u770b\u4ee5\u4e0b\u4e24\u4e2a\u6307\u6807\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u654f\u611f\u6027\uff1a<\/strong>\u5f53\u7ed3\u679c\u5b9e\u9645\u4e0a\u662f\u79ef\u6781\u7684\u65f6\uff0c\u6a21\u578b\u9884\u6d4b\u89c2\u5bdf\u7ed3\u679c\u4e3a\u79ef\u6781\u7684\u6982\u7387\u3002\u8fd9\u4e5f\u79f0\u4e3a\u201c\u771f\u9633\u6027\u7387\u201d\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u7279\u5f02\u6027\uff1a<\/strong>\u5f53\u7ed3\u679c\u5b9e\u9645\u4e0a\u4e3a\u8d1f\u65f6\uff0c\u6a21\u578b\u9884\u6d4b\u89c2\u5bdf\u7ed3\u679c\u4e3a\u8d1f\u7684\u6982\u7387\u3002\u8fd9\u4e5f\u79f0\u4e3a\u201c\u771f\u8d1f\u7387\u201d\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u53ef\u89c6\u5316\u8fd9\u4e24\u4e2a\u6d4b\u91cf\u503c\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u521b\u5efa<strong>ROC \u66f2\u7ebf<\/strong>\uff0c\u5b83\u4ee3\u8868\u201c\u63a5\u6536\u5668\u64cd\u4f5c\u7279\u6027\u201d\u66f2\u7ebf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8be5\u56fe\u6cbf y \u8f74\u663e\u793a\u7075\u654f\u5ea6\uff0c\u6cbf x \u8f74\u663e\u793a\uff081 \u2013 \u7279\u5f02\u6027\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91cf\u5316\u903b\u8f91\u56de\u5f52\u6a21\u578b\u5728\u6570\u636e\u5206\u7c7b\u65b9\u9762\u7684\u6709\u6548\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u8ba1\u7b97<strong>AUC<\/strong> \uff0c\u5b83\u4ee3\u8868\u201c\u66f2\u7ebf\u4e0b\u9762\u79ef\u201d\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">AUC \u503c\u7684\u8303\u56f4\u4ece 0 \u5230 1\u3002AUC \u4e3a 1 \u7684\u6a21\u578b\u80fd\u591f\u5b8c\u7f8e\u5730\u5c06\u89c2\u5bdf\u7ed3\u679c\u5206\u7c7b\uff0c\u800c AUC \u4e3a 0.5 \u7684\u6a21\u578b\u5e76\u4e0d\u6bd4\u8fdb\u884c\u968f\u673a\u731c\u6d4b\u7684\u6a21\u578b\u66f4\u597d\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4ec0\u4e48\u662f\u597d\u7684 AUC \u5206\u6570\uff1f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5173\u4e8eAUC\uff0c\u5b66\u751f\u7ecf\u5e38\u95ee\u7684\u4e00\u4e2a\u95ee\u9898\u662f\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u4ec0\u4e48\u662f\u597d\u7684 AUC \u5206\u6570\uff1f<\/strong><\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b54\u6848\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5bf9\u4e8e\u4ec0\u4e48\u662f\u597d\u7684 AUC \u5206\u6570<span style=\"color: #000000;\">\uff0c\u6ca1\u6709\u5177\u4f53\u7684\u9608\u503c<\/span>\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u663e\u7136\uff0cAUC \u5206\u6570\u8d8a\u9ad8\uff0c\u6a21\u578b\u5c06\u89c2\u5bdf\u7ed3\u679c\u5206\u7c7b\u7684\u80fd\u529b\u5c31\u8d8a\u5f3a\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u77e5\u9053\uff0cAUC \u5206\u6570\u4e3a 0.5 \u7684\u6a21\u578b\u5e76\u4e0d\u6bd4\u968f\u673a\u731c\u6d4b\u7684\u6a21\u578b\u66f4\u597d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u6ca1\u6709\u795e\u5947\u7684\u6570\u5b57\u6765\u786e\u5b9a AUC \u5206\u6570\u7684\u597d\u574f\u3002<\/span><\/p>\n<p>\u5982\u679c\u6211\u4eec\u9700\u8981\u5c06\u67d0\u4e9b\u5206\u6570\u5206\u7c7b\u4e3a\u597d\u6216\u574f\uff0c\u6211\u4eec\u53ef\u4ee5\u53c2\u8003 Hosmer \u548c Lemeshow<span style=\"color: #000000;\">\u5728<a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/book\/10.1002\/9781118548387\" target=\"_blank\" rel=\"noopener\"><em>Applied Logistic Regression<\/em><\/a> (p. 177) \u4e2d<\/span><span style=\"color: #000000;\"><em>\u7684<\/em>\u4ee5\u4e0b\u7ecf\u9a8c\u6cd5\u5219<\/span>\uff1a<\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0.5<\/strong> = \u6ca1\u6709\u6b67\u89c6<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>0.5-0.7<\/strong> = \u4e0d\u597d\u7684\u8fa8\u522b\u529b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>0.7-0.8<\/strong> = \u53ef\u63a5\u53d7\u7684\u6b67\u89c6<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>0.8-0.9<\/strong> = \u51fa\u8272\u7684\u8fa8\u522b\u529b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>&gt;0.9<\/strong> = \u5f02\u5e38\u6b67\u89c6<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6839\u636e\u8fd9\u4e9b\u6807\u51c6\uff0cAUC \u5206\u6570\u4f4e\u4e8e 0.7 \u7684\u6a21\u578b\u5c06\u88ab\u89c6\u4e3a\u8f83\u5dee\uff0c\u4efb\u4f55\u66f4\u9ad8\u7684\u6a21\u578b\u5c06\u88ab\u89c6\u4e3a\u53ef\u63a5\u53d7\u6216\u66f4\u597d\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u201c\u826f\u597d\u201d\u7684 AUC \u5206\u6570\u56e0\u884c\u4e1a\u800c\u5f02<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8bf7\u52a1\u5fc5\u8bb0\u4f4f\uff0c\u201c\u826f\u597d\u201dAUC \u5206\u6570\u7684\u5b9a\u4e49\u56e0\u884c\u4e1a\u800c\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5728\u533b\u5b66\u9886\u57df\uff0c\u7814\u7a76\u4eba\u5458\u7ecf\u5e38\u5bfb\u627e AUC \u5206\u6570\u9ad8\u4e8e 0.95 \u7684\u5206\u6570\uff0c\u56e0\u4e3a\u72af\u9519\u8bef\u7684\u6210\u672c\u975e\u5e38\u9ad8\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a\u903b\u8f91\u56de\u5f52\u6a21\u578b\u6765\u9884\u6d4b\u60a3\u8005\u662f\u5426\u4f1a\u60a3\u4e0a\u764c\u75c7\uff0c\u90a3\u4e48\u72af\u9519\u8bef\uff08\u9519\u8bef\u5730\u544a\u8bc9\u60a3\u8005\u4ed6\u4eec\u6ca1\u6709\u60a3\u764c\u75c7\uff0c\u7136\u540e\u4ed6\u60a3\u6709\u764c\u75c7\uff09\u7684\u6210\u672c\u975e\u5e38\u9ad8\uff0c\u4ee5\u81f3\u4e8e\u6211\u4eec\u60f3\u8981\u51e0\u4e4e\u6bcf\u6b21\u90fd\u6b63\u786e\u7684\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u76f8\u53cd\uff0c\u5728\u8425\u9500\u7b49\u5176\u4ed6\u884c\u4e1a\uff0c\u6a21\u578b\u53ef\u4ee5\u63a5\u53d7\u8f83\u4f4e\u7684 AUC \u5206\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u6709\u4e00\u4e2a\u6a21\u578b\u53ef\u4ee5\u9884\u6d4b\u5ba2\u6237\u662f\u5426\u4f1a\u6210\u4e3a\u56de\u5934\u5ba2\uff0c\u90a3\u4e48\u9519\u8bef\u7684\u4ee3\u4ef7\u4e0d\u4f1a\u6539\u53d8\u751f\u6d3b\uff0c\u56e0\u6b64 AUC \u4f4e\u81f3 0.6 \u7684\u6a21\u578b\u4ecd\u7136\u6709\u7528\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5c06 AUC \u5206\u6570\u4e0e\u5f53\u524d\u6a21\u578b\u8fdb\u884c\u6bd4\u8f83<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5728\u73b0\u5b9e\u4e16\u754c\u4e2d\uff0c\u6211\u4eec\u7ecf\u5e38\u5c06\u65b0\u903b\u8f91\u56de\u5f52\u6a21\u578b\u7684 AUC \u5206\u6570\u4e0e\u5f53\u524d\u4f7f\u7528\u7684\u6a21\u578b\u7684 AUC \u5206\u6570\u8fdb\u884c\u6bd4\u8f83\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u4e00\u5bb6\u516c\u53f8\u4f7f\u7528\u903b\u8f91\u56de\u5f52\u6a21\u578b\u6765\u9884\u6d4b\u5ba2\u6237\u662f\u5426\u4f1a\u6210\u4e3a\u56de\u5934\u5ba2\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u5f53\u524d\u6a21\u578b\u7684 AUC \u5206\u6570\u4e3a 0.6\uff0c\u800c\u60a8\u5f00\u53d1\u4e86\u4e00\u4e2a AUC \u4e3a 0.65 \u7684\u65b0\u6a21\u578b\uff0c\u90a3\u4e48\u60a8\u5f00\u53d1\u7684\u65b0\u6a21\u578b\u5c06\u662f\u66f4\u53ef\u53d6\u7684\uff0c\u5373\u4f7f\u5b83\u53ea\u63d0\u4f9b\u4e86\u8f7b\u5fae\u7684\u6539\u8fdb\uff0c\u5e76\u4e14\u4f1a\u88ab Hosmer \u548c Lemeshow \u89c6\u4e3a\u201c\u5dee\u201d\u6807\u51c6\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u4e86\u6709\u5173\u5982\u4f55\u521b\u5efa\u548c\u89e3\u91ca ROC \u66f2\u7ebf\u548c AUC \u5206\u6570\u7684\u66f4\u591a\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u89e3\u91ca\u5ca9\u77f3\u66f2\u7ebf\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u89e3\u91ca ROC \u66f2\u7ebf\uff08\u9644\u793a\u4f8b\uff09<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/python\u8ffd\u8e2aroc\u66f2\u7ebf\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u521b\u5efa ROC \u66f2\u7ebf<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5ca9\u77f3\u66f2\u7ebfggplot2\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u521b\u5efa ROC \u66f2\u7ebf<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u6ca1\u6709\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728R\u4e2d\u8ba1\u7b97AUC<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u903b\u8f91\u56de\u5f52\u662f\u5f53\u54cd\u5e94\u53d8\u91cf\u662f\u4e8c\u5143\u65f6\u6211\u4eec\u7528\u6765\u62df\u5408\u56de\u5f52\u6a21\u578b\u7684\u65b9\u6cd5\u3002 \u4e3a\u4e86\u8bc4\u4f30\u903b\u8f91\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\uff0c\u6211\u4eec\u53ef\u4ee5\u67e5\u770b [&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-2169","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>\u4ec0\u4e48\u88ab\u8ba4\u4e3a\u662f\u826f\u597d\u7684 AUC \u5206\u6570\uff1f - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u51e0\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f AUC\uff08\u66f2\u7ebf\u4e0b\u9762\u79ef\uff09\u7684\u6700\u4f73\u503c\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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