{"id":2977,"date":"2023-07-19T19:57:01","date_gmt":"2023-07-19T19:57:01","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%b0%83%e6%95%b4%e5%90%8e%e7%9a%84-r-%e5%b9%b3%e6%96%b9%e8%a7%a3%e9%87%8a\/"},"modified":"2023-07-19T19:57:01","modified_gmt":"2023-07-19T19:57:01","slug":"%e8%b0%83%e6%95%b4%e5%90%8e%e7%9a%84-r-%e5%b9%b3%e6%96%b9%e8%a7%a3%e9%87%8a","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%b0%83%e6%95%b4%e5%90%8e%e7%9a%84-r-%e5%b9%b3%e6%96%b9%e8%a7%a3%e9%87%8a\/","title":{"rendered":"\u5982\u4f55\u89e3\u91ca\u8c03\u6574\u540e\u7684 r \u5e73\u65b9\uff08\u9644\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u62df\u5408<a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52-1\/\" target=\"_blank\" rel=\"noopener\">\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u65f6\uff0c<\/a>\u6211\u4eec\u7ecf\u5e38\u8ba1\u7b97\u6a21\u578b\u7684<strong>R\u5e73\u65b9<\/strong>\u503c\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u5e73\u65b9\u503c\u662f<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4e2d\u53ef\u7531\u6a21\u578b\u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u7684\u65b9\u5dee\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">R \u5e73\u65b9\u7684\u503c\u53ef\u4ee5\u5728 0 \u5230 1 \u4e4b\u95f4\u53d8\u5316\uff0c\u5176\u4e2d\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u503c<strong>0<\/strong>\u8868\u793a\u54cd\u5e94\u53d8\u91cf\u6839\u672c\u65e0\u6cd5\u7531\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u503c\u4e3a<strong>1<\/strong>\u8868\u793a\u54cd\u5e94\u53d8\u91cf\u53ef\u4ee5\u7531\u9884\u6d4b\u53d8\u91cf\u5b8c\u7f8e\u89e3\u91ca\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5c3d\u7ba1\u6b64\u6307\u6807\u901a\u5e38\u7528\u4e8e\u8bc4\u4f30\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\uff0c\u4f46\u5b83\u6709\u4e00\u4e2a\u4e25\u91cd\u7684\u7f3a\u70b9\uff1a<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>R\u5e73\u65b9\u7684\u7f3a\u70b9\uff1a<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u5c06\u65b0\u7684\u9884\u6d4b\u53d8\u91cf\u6dfb\u52a0\u5230\u56de\u5f52\u6a21\u578b\u65f6\uff0cR \u5e73\u65b9\u5c06\u59cb\u7ec8\u589e\u52a0\u3002<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u5373\u4f7f\u65b0\u7684\u9884\u6d4b\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u51e0\u4e4e\u6ca1\u6709\u5173\u7cfb\uff0c\u6a21\u578b\u7684 R \u5e73\u65b9\u503c\u4e5f\u4f1a\u589e\u52a0\uff0c\u5373\u4f7f\u53ea\u662f\u5c11\u91cf\u589e\u52a0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u5373\u4f7f\u6a21\u578b\u4e0d\u80fd\u5f88\u597d\u5730\u62df\u5408\u6570\u636e\uff0c\u5177\u6709\u5927\u91cf\u9884\u6d4b\u53d8\u91cf\u7684\u56de\u5f52\u6a21\u578b\u4e5f\u53ef\u80fd\u5177\u6709\u8f83\u9ad8\u7684 R \u5e73\u65b9\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e78\u8fd0\u7684\u662f\uff0c\u6709\u4e00\u79cd R \u5e73\u65b9\u7684\u66ff\u4ee3\u65b9\u6cd5\uff0c\u79f0\u4e3a<strong>\u8c03\u6574 R \u5e73\u65b9<\/strong>\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<\/span><\/p>\n<p><span style=\"color: #000000;\">\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\u9884\u6d4b\u53d8\u91cf\u65f6\uff0cR \u5e73\u65b9\u59cb\u7ec8\u4f1a\u589e\u52a0\uff0c\u56e0\u6b64\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u53ef\u4ee5\u544a\u8bc9\u60a8\u6a21\u578b\u7684\u6709\u7528\u6027\uff08<em>\u6839\u636e\u6a21\u578b\u4e2d\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u8fdb\u884c\u8c03\u6574\uff09<\/em> \u3002<\/span><\/p>\n<blockquote>\n<p><span style=\"color: #000000;\"><strong>\u8c03\u6574R\u5e73\u65b9\u7684\u4f18\u70b9\uff1a<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u544a\u8bc9\u6211\u4eec\u4e00\u7ec4\u9884\u6d4b\u53d8\u91cf\u80fd\u591f\u89e3\u91ca\u54cd\u5e94\u53d8\u91cf\u7684\u53d8\u5316\uff08<em>\u6839\u636e\u6a21\u578b\u4e2d\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u8fdb\u884c\u8c03\u6574\uff09<\/em> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u5176\u8ba1\u7b97\u65b9\u5f0f\uff0c\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u53ef\u7528\u4e8e\u6bd4\u8f83\u5177\u6709\u4e0d\u540c\u6570\u91cf\u7684\u9884\u6d4b\u53d8\u91cf\u7684\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u5ea6\u3002<\/span><\/p>\n<\/blockquote>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff0c\u8bf7\u53c2\u9605\u4ee5\u4e0b\u793a\u4f8b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u4e86\u89e3\u56de\u5f52\u6a21\u578b\u4e2d\u7684\u8c03\u6574 R \u5e73\u65b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u6559\u6388\u6536\u96c6\u4e86\u73ed\u7ea7\u5b66\u751f\u7684\u6570\u636e\uff0c\u5e76\u62df\u5408\u4e86\u4ee5\u4e0b\u56de\u5f52\u6a21\u578b\uff0c\u4ee5\u4e86\u89e3\u5b66\u4e60\u65f6\u95f4\u548c\u73ed\u7ea7\u5f53\u524d\u6210\u7ee9\u5982\u4f55\u5f71\u54cd\u5b66\u751f\u671f\u672b\u8003\u8bd5\u7684\u6210\u7ee9\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8003\u8bd5\u6210\u7ee9 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> \uff08\u5b66\u4e60\u65f6\u95f4\uff09+ \u03b2 <sub>2<\/sub> \uff08\u5f53\u524d\u6210\u7ee9\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5047\u8bbe\u8be5\u56de\u5f52\u6a21\u578b\u5177\u6709\u4ee5\u4e0b\u6307\u6807\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R \u5e73\u65b9\uff1a <strong>0.955<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff1a <strong>0.946<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u5047\u8bbe\u8001\u5e08\u51b3\u5b9a\u6536\u96c6\u6bcf\u4e2a\u5b66\u751f\u7684\u53e6\u4e00\u4e2a\u53d8\u91cf\u7684\u6570\u636e\uff1a\u978b\u7801\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5c3d\u7ba1\u8fd9\u4e2a\u53d8\u91cf\u5e94\u8be5\u4e0e\u671f\u672b\u8003\u8bd5\u6210\u7ee9\u6ca1\u6709\u5173\u7cfb\uff0c\u4f46\u4ed6\u51b3\u5b9a\u91c7\u7528\u4ee5\u4e0b\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8003\u8bd5\u6210\u7ee9 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> \uff08\u5b66\u4e60\u65f6\u95f4\uff09+ \u03b2 <sub>2<\/sub> \uff08\u5f53\u5e74\uff09+ \u03b2 <sub>3<\/sub> \uff08\u978b\u7801\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5047\u8bbe\u8be5\u56de\u5f52\u6a21\u578b\u5177\u6709\u4ee5\u4e0b\u6307\u6807\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">R \u5e73\u65b9\uff1a <strong>0.965<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff1a <strong>0.902<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u53ea\u67e5\u770b\u8fd9\u4e24\u4e2a\u56de\u5f52\u6a21\u578b\u7684<strong>R \u5e73\u65b9<\/strong>\u503c\uff0c\u6211\u4eec\u4f1a\u5f97\u51fa\u7ed3\u8bba\uff0c\u7b2c\u4e8c\u4e2a\u6a21\u578b\u66f4\u9002\u5408\u4f7f\u7528\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u66f4\u9ad8\u7684 R \u5e73\u65b9\u503c\uff01<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u5982\u679c\u6211\u4eec\u67e5\u770b<strong>\u8c03\u6574\u540e\u7684 R \u5e73\u65b9<\/strong>\u503c\uff0c\u6211\u4eec\u4f1a\u5f97\u51fa\u4e0d\u540c\u7684\u7ed3\u8bba\uff1a\u6700\u597d\u4f7f\u7528\u7b2c\u4e00\u4e2a\u6a21\u578b\uff0c\u56e0\u4e3a\u5b83\u5177\u6709\u66f4\u9ad8\u7684\u8c03\u6574 R \u5e73\u65b9\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b2c\u4e8c\u4e2a\u6a21\u578b\u4ec5\u5177\u6709\u8f83\u9ad8\u7684 R \u5e73\u65b9\u503c\uff0c\u56e0\u4e3a\u5b83\u6bd4\u7b2c\u4e00\u4e2a\u6a21\u578b\u5177\u6709\u66f4\u591a\u7684\u9884\u6d4b\u53d8\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u6211\u4eec\u6dfb\u52a0\u7684\u9884\u6d4b\u53d8\u91cf\uff08\u978b\u7801\uff09\u5bf9\u671f\u672b\u8003\u8bd5\u6210\u7ee9\u7684\u9884\u6d4b\u6548\u679c\u5f88\u5dee\uff0c\u56e0\u6b64\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u503c\u4f1a\u60e9\u7f5a\u6dfb\u52a0\u6b64\u9884\u6d4b\u53d8\u91cf\u7684\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u793a\u4f8b\u8bf4\u660e\u4e86\u4e3a\u4ec0\u4e48\u5728\u6bd4\u8f83\u5177\u6709\u4e0d\u540c\u6570\u91cf\u7684\u9884\u6d4b\u53d8\u91cf\u7684\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u5ea6\u65f6\uff0c\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u662f\u4e00\u4e2a\u66f4\u597d\u7684\u5ea6\u91cf\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\u89e3\u91ca\u4e86\u5982\u4f55\u4f7f\u7528\u4e0d\u540c\u7684\u7edf\u8ba1\u8f6f\u4ef6\u8ba1\u7b97\u8c03\u6574\u540e\u7684R\u5e73\u65b9\u503c\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/r-\u62df\u5408\u4e2d\u7684-r-\u65b9\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u8c03\u6574\u540e\u7684 R \u5e73\u65b9<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r\u5e73\u65b9excel\u8c03\u6574\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97\u8c03\u6574\u540e\u7684 R \u5e73\u65b9<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/python\u4e2d\u7684r\u5e73\u65b9\u8c03\u6574\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Python \u4e2d\u8ba1\u7b97\u8c03\u6574\u540e\u7684 R \u5e73\u65b9<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f53\u6211\u4eec\u62df\u5408\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u65f6\uff0c\u6211\u4eec\u7ecf\u5e38\u8ba1\u7b97\u6a21\u578b\u7684R\u5e73\u65b9\u503c\u3002 R \u5e73\u65b9\u503c\u662f\u54cd\u5e94\u53d8\u91cf\u4e2d\u53ef\u7531\u6a21\u578b\u4e2d\u7684\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u7684\u65b9\u5dee\u7684 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