{"id":550,"date":"2023-07-29T13:10:41","date_gmt":"2023-07-29T13:10:41","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e9%98%85%e8%af%bb%e5%8d%a1%e6%96%b9%e5%88%86%e5%b8%83%e8%a1%a8\/"},"modified":"2023-07-29T13:10:41","modified_gmt":"2023-07-29T13:10:41","slug":"%e5%a6%82%e4%bd%95%e9%98%85%e8%af%bb%e5%8d%a1%e6%96%b9%e5%88%86%e5%b8%83%e8%a1%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%a6%82%e4%bd%95%e9%98%85%e8%af%bb%e5%8d%a1%e6%96%b9%e5%88%86%e5%b8%83%e8%a1%a8\/","title":{"rendered":"\u5982\u4f55\u9605\u8bfb\u5361\u65b9\u5206\u5e03\u8868"},"content":{"rendered":"<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u9605\u8bfb\u548c\u89e3\u91ca\u5361\u65b9\u5206\u5e03\u56fe\u3002<\/span><\/p>\n<h2><strong>\u4ec0\u4e48\u662f\u5361\u65b9\u5206\u5e03\u8868\uff1f<\/strong><\/h2>\n<p><span style=\"color: #000000;\"><strong>\u5361\u65b9<\/strong><strong>\u5206\u5e03\u8868<\/strong>\u662f\u663e\u793a\u5361\u65b9\u5206\u5e03\u4e34\u754c\u503c\u7684\u8868\u683c\u3002\u8981\u4f7f\u7528\u5361\u65b9\u5206\u5e03\u8868\uff0c\u60a8\u53ea\u9700\u8981\u77e5\u9053\u4e24\u4e2a\u503c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5361\u65b9\u68c0\u9a8c\u7684\u81ea\u7531\u5ea6<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6d4b\u8bd5\u7684 alpha \u6c34\u5e73\uff08\u5e38\u89c1\u9009\u62e9\u4e3a 0.01\u30010.05 \u548c 0.10\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e0b\u56fe\u663e\u793a\u4e86\u5361\u65b9\u5206\u5e03\u8868\u7684\u524d 20 \u884c\uff0c\u81ea\u7531\u5ea6\u4f4d\u4e8e\u8868\u5de6\u4fa7\uff0calpha \u6c34\u5e73\u4f4d\u4e8e\u8868\u9876\u90e8\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u6ce8\u610f\uff1a<\/strong>\u60a8\u53ef\u4ee5\u5728\u6b64\u5904\u627e\u5230\u5177\u6709\u66f4\u591a\u81ea\u7531\u5ea6\u7684\u5b8c\u6574\u5361\u65b9\u5206\u5e03\u8868\u3002<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4854 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_square_table_small.jpg\" alt=\"\" width=\"706\" height=\"430\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8868\u4e2d\u7684\u4e34\u754c\u503c\u7ecf\u5e38\u4e0e\u5361\u65b9\u68c0\u9a8c\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u8fdb\u884c\u6bd4\u8f83\u3002\u5982\u679c\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5927\u4e8e\u8868\u4e2d\u627e\u5230\u7684\u4e34\u754c\u503c\uff0c\u5219\u60a8\u53ef\u4ee5\u62d2\u7edd\u5361\u65b9\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\uff0c\u5e76\u5f97\u51fa\u68c0\u9a8c\u7ed3\u679c\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u7684\u7ed3\u8bba\u3002<\/span><\/p>\n<h2><strong>\u4f7f\u7528\u5361\u65b9\u5206\u5e03\u8868\u7684\u793a\u4f8b<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5c06\u5c55\u793a\u5982\u4f55\u901a\u8fc7\u4ee5\u4e0b\u4e09\u79cd\u7c7b\u578b\u7684\u5361\u65b9\u68c0\u9a8c\u6765\u4f7f\u7528\u5361\u65b9\u5206\u5e03\u8868\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5361\u65b9\u72ec\u7acb\u6027\u68c0\u9a8c<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5361\u65b9\u68c0\u9a8c\u62df\u5408\u4f18\u5ea6<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5361\u65b9\u540c\u8d28\u6027\u68c0\u9a8c<\/span><\/li>\n<\/ul>\n<h3><strong>\u5361\u65b9\u72ec\u7acb\u6027\u68c0\u9a8c<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u60f3\u8981\u6d4b\u8bd5\u4e24\u4e2a\u5206\u7c7b\u53d8\u91cf\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5173\u8054\u65f6\uff0c<\/span><span style=\"color: #000000;\">\u6211\u4eec\u4f7f\u7528<\/span><strong>\u5361\u65b9\u68c0\u9a8c\u6765\u68c0\u9a8c\u72ec\u7acb\u6027<\/strong>\u3002<\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a<\/strong>\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u6027\u522b\u662f\u5426\u4e0e\u5bf9\u653f\u515a\u7684\u504f\u597d\u76f8\u5173\u3002\u6211\u4eec\u5bf9 500 \u540d\u9009\u6c11\u8fdb\u884c\u4e86\u7b80\u5355\u7684\u968f\u673a\u62bd\u6837\uff0c\u5e76\u8be2\u95ee\u4ed6\u4eec\u7684\u653f\u515a\u504f\u597d\u3002\u6211\u4eec\u4f7f\u7528 0.05 \u7684\u663e\u7740\u6027\u6c34\u5e73\u8fdb\u884c\u5361\u65b9\u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u6027\u522b\u662f\u5426\u4e0e\u653f\u515a\u504f\u597d\u76f8\u5173\u3002<\/span><span style=\"color: #000000;\">\u4e0b\u8868\u5217\u51fa\u4e86\u8c03\u67e5\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4856 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_square_table1.jpg\" alt=\"\" width=\"491\" height=\"110\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4e8b\u5b9e\u8bc1\u660e\uff0c\u8be5\u5361\u65b9\u68c0\u9a8c\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a 0.864\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u5728\u5361\u65b9\u5206\u5e03\u8868\u4e2d\u627e\u5230\u4e34\u754c\u68c0\u9a8c\u503c\u3002\u81ea\u7531\u5ea6\u7b49\u4e8e (#rows-1) * (#columns-1) = (2-1) * (3-1) = 2 \u5e76\u4e14\u95ee\u9898\u544a\u8bc9\u6211\u4eec\u5e94\u8be5\u4f7f\u7528 0.05 \u7684 alpha \u7ea7\u522b\u56e0\u6b64\uff0c\u6839\u636e\u5361\u65b9\u5206\u5e03\u8868\uff0c\u68c0\u9a8c\u7684\u4e34\u754c\u503c\u4e3a<strong>5.991<\/strong> \u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4857 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_carre_table2.jpg\" alt=\"\" width=\"704\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5c0f\u4e8e\u4e34\u754c\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u6027\u522b\u548c\u653f\u515a\u504f\u597d\u4e4b\u95f4\u5b58\u5728\u5173\u8054\u3002<\/span><\/p>\n<h2><strong>\u5361\u65b9\u68c0\u9a8c\u62df\u5408\u4f18\u5ea6<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u60f3\u8981\u6d4b\u8bd5\u5206\u7c7b\u53d8\u91cf\u662f\u5426\u9075\u5faa\u5047\u8bbe\u5206\u5e03\u65f6\uff0c\u6211\u4eec\u4f7f\u7528<strong>\u5361\u65b9<\/strong>\u62df\u5408<strong>\u4f18\u5ea6\u68c0\u9a8c<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a<\/strong>\u4e00\u4f4d\u5e97\u4e3b\u8868\u793a\uff0c\u4ed6\u7684\u6240\u6709\u5468\u672b\u987e\u5ba2\u4e2d\u6709 30% \u662f\u5728\u5468\u4e94\u5149\u4e34\uff0c50% \u662f\u5728\u5468\u516d\u5149\u987e\uff0c20% \u662f\u5728\u5468\u65e5\u5149\u4e34\u3002\u4e00\u4f4d\u72ec\u7acb\u7814\u7a76\u4eba\u5458\u5728\u5468\u672b\u968f\u673a\u8bbf\u95ee\u4e86\u8fd9\u5bb6\u5546\u5e97\uff0c\u53d1\u73b0\u5468\u4e94\u6709 91 \u540d\u987e\u5ba2\uff0c\u5468\u516d\u6709 104 \u540d\u987e\u5ba2\uff0c\u5468\u65e5\u6709 65 \u540d\u987e\u5ba2\u3002\u6211\u4eec\u4f7f\u7528 0.10 \u7684\u663e\u7740\u6027\u6c34\u5e73\u8fdb\u884c\u5361\u65b9\u68c0\u9a8c\u6765\u68c0\u67e5\u62df\u5408\u4f18\u5ea6\uff0c\u4ee5\u786e\u5b9a\u6570\u636e\u662f\u5426\u4e0e\u5e97\u4e3b\u7684\u8bf4\u6cd5\u4e00\u81f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u672c\u4f8b\u4e2d\uff0c\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7ed3\u679c\u4e3a 10,616\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u5728\u5361\u65b9\u5206\u5e03\u8868\u4e2d\u627e\u5230\u4e34\u754c\u68c0\u9a8c\u503c\u3002\u81ea\u7531\u5ea6\u7b49\u4e8e (#outcomes-1) = 3-1 = 2\uff0c\u95ee\u9898\u544a\u8bc9\u6211\u4eec\u5e94\u8be5\u4f7f\u7528 0.10 \u7684 alpha \u6c34\u5e73\u3002\u56e0\u6b64\uff0c\u6839\u636e\u5361\u65b9\u5206\u5e03\u8868\uff0c\u68c0\u9a8c\u7684\u4e34\u754c\u503c\u4e3a<strong>4.605<\/strong> \u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4859 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_square_table3.jpg\" alt=\"\" width=\"706\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u96f6\u5047\u8bbe\u3002\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\uff0c\u5468\u672b\u6765\u8fd9\u5bb6\u5e97\u7684\u987e\u5ba2\u7684\u771f\u5b9e\u5206\u5e03\u5e76\u4e0d\u7b49\u4e8e\u5468\u4e94\u768430%\u3001\u5468\u516d\u768450%\u3001\u5468\u65e5\u768420%\u3002<\/span><\/p>\n<h2><strong>\u5361\u65b9\u540c\u8d28\u6027\u68c0\u9a8c<\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u60f3\u8981\u6b63\u5f0f\u6d4b\u8bd5\u591a\u4e2a\u7ec4\u4e4b\u95f4\u7684\u6bd4\u4f8b\u662f\u5426\u5b58\u5728\u5dee\u5f02\u65f6\uff0c\u6211\u4eec\u4f7f\u7528<strong>\u5361\u65b9\u68c0\u9a8c\u6765\u68c0\u9a8c\u540c\u8d28\u6027<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a<\/strong>\u4e00\u5bb6\u7bee\u7403\u8bad\u7ec3\u4e2d\u5fc3\u5e0c\u671b\u4e86\u89e3\u4e24\u4e2a\u65b0\u7684\u8bad\u7ec3\u8ba1\u5212\u662f\u5426\u53ef\u4ee5\u63d0\u9ad8\u901a\u8fc7\u56f0\u96be\u6295\u7bee\u6d4b\u8bd5\u7684\u7403\u5458\u6bd4\u4f8b\u3002 172 \u540d\u9009\u624b\u88ab\u968f\u673a\u5206\u914d\u5230\u8282\u76ee 1\uff0c173 \u540d\u9009\u624b\u88ab\u968f\u673a\u5206\u914d\u5230\u8282\u76ee 2\uff0c215 \u540d\u9009\u624b\u88ab\u968f\u673a\u5206\u914d\u5230\u5f53\u524d\u8282\u76ee\u3002\u4f7f\u7528\u8bad\u7ec3\u8ba1\u5212\u4e00\u4e2a\u6708\u540e\uff0c\u7403\u5458\u4eec\u5c06\u8fdb\u884c\u6295\u7bee\u6d4b\u8bd5\u3002\u4e0b\u8868\u6839\u636e\u4ed6\u4eec\u4f7f\u7528\u7684\u7a0b\u5e8f\u663e\u793a\u4e86\u901a\u8fc7\u5c04\u51fb\u6d4b\u8bd5\u7684\u73a9\u5bb6\u4eba\u6570\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4860 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_carre_table4.jpg\" alt=\"\" width=\"556\" height=\"107\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u4f7f\u7528 0.05 \u7684\u663e\u7740\u6027\u6c34\u5e73\u8fdb\u884c\u5361\u65b9\u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u6bcf\u4e2a\u8bad\u7ec3\u8ba1\u5212\u7684\u6210\u529f\u7387\u662f\u5426\u76f8\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e8b\u5b9e\u8bc1\u660e\uff0c\u8be5\u5361\u65b9\u68c0\u9a8c\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a 4.208\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u5728\u5361\u65b9\u5206\u5e03\u8868\u4e2d\u627e\u5230\u4e34\u754c\u68c0\u9a8c\u503c\u3002\u81ea\u7531\u5ea6\u7b49\u4e8e (#rows-1) * (#columns-1) = (2-1) * (3-1) = 2 \u5e76\u4e14\u95ee\u9898\u544a\u8bc9\u6211\u4eec\u5e94\u8be5\u4f7f\u7528 0.05 \u7684 alpha \u7ea7\u522b\u56e0\u6b64\uff0c\u6839\u636e\u5361\u65b9\u5206\u5e03\u8868\uff0c\u68c0\u9a8c\u7684\u4e34\u754c\u503c\u4e3a<strong>5.991<\/strong> \u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4857 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_carre_table2.jpg\" alt=\"\" width=\"704\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: 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