{"id":592,"date":"2023-07-29T09:51:50","date_gmt":"2023-07-29T09:51:50","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%9c%ac%e6%9d%b0%e7%b1%b3%e5%b0%bc%c2%b7%e9%9c%8d%e8%b5%ab%e4%bc%af%e6%a0%bc%e6%89%8b%e6%9c%af\/"},"modified":"2023-07-29T09:51:50","modified_gmt":"2023-07-29T09:51:50","slug":"%e6%9c%ac%e6%9d%b0%e7%b1%b3%e5%b0%bc%c2%b7%e9%9c%8d%e8%b5%ab%e4%bc%af%e6%a0%bc%e6%89%8b%e6%9c%af","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%9c%ac%e6%9d%b0%e7%b1%b3%e5%b0%bc%c2%b7%e9%9c%8d%e8%b5%ab%e4%bc%af%e6%a0%bc%e6%89%8b%e6%9c%af\/","title":{"rendered":"\u672c\u6770\u660e-\u970d\u8d6b\u4f2f\u683c\u624b\u672f\u6307\u5357"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u4efb\u4f55\u65f6\u5019\u6267\u884c\u7edf\u8ba1\u68c0\u9a8c\u65f6\uff0c\u5373\u4f7f\u60a8\u7684\u539f\u5047\u8bbe\u4e3a\u771f\uff0c\u60a8\u4e5f\u6709\u53ef\u80fd\u7eaf\u5c5e\u5076\u7136\u5730\u83b7\u5f97\u5c0f\u4e8e 0.05 \u7684 p \u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u60a8\u60f3\u77e5\u9053\u67d0\u79cd\u690d\u7269\u7684\u5e73\u5747\u9ad8\u5ea6\u662f\u5426\u5927\u4e8e 10 \u82f1\u5bf8\u3002\u60a8\u7528\u4e8e\u6d4b\u8bd5\u7684\u539f\u5047\u8bbe\u548c\u66ff\u4ee3\u5047\u8bbe\u662f\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 10 \u82f1\u5bf8<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc &gt; 10 \u82f1\u5bf8<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u68c0\u9a8c\u8fd9\u4e2a\u5047\u8bbe\uff0c\u60a8\u53ef\u4ee5\u51fa\u53bb<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u6536\u96c6 20 \u79cd\u690d\u7269\u6837\u672c<\/a>\u8fdb\u884c\u6d4b\u91cf\u3002\u5373\u4f7f\u8be5\u690d\u7269\u7269\u79cd\u7684\u771f\u5b9e\u5e73\u5747\u9ad8\u5ea6\u4e3a 10 \u82f1\u5bf8\uff0c\u60a8\u4e5f\u53ef\u80fd\u9009\u62e9\u4e86 20 \u682a\u5f02\u5e38\u9ad8\u7684\u690d\u7269\u4f5c\u4e3a\u6837\u672c\uff0c\u5bfc\u81f4\u60a8\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5373\u4f7f\u539f\u5047\u8bbe\u4e3a\u771f\uff08\u8be5\u690d\u7269\u7684\u5e73\u5747\u9ad8\u5ea6\u5b9e\u9645\u4e0a\u4e3a 10 \u82f1\u5bf8\uff09\uff0c\u60a8\u4e5f\u62d2\u7edd\u4e86\u5b83\u3002\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a\u201c\u9519\u8bef\u53d1\u73b0\u201d\u3002\u4f60\u58f0\u79f0\u5df2\u7ecf\u6709\u4e86\u4e00\u4e2a\u53d1\u73b0\u2014\u2014\u4e00\u4e2a\u201c\u91cd\u5927\u6210\u679c\u201d\u2014\u2014\u4f46\u8fd9\u5b9e\u9645\u4e0a\u662f\u9519\u8bef\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u73b0\u5728\u60f3\u8c61\u4e00\u4e0b\u540c\u65f6\u8fd0\u884c 100 \u4e2a\u7edf\u8ba1\u6d4b\u8bd5\u3002\u4f7f\u7528 0.05 \u7684<a href=\"https:\/\/statorials.org\/cn\/p-\u503c\u4e0e-alpha\/\" target=\"_blank\" rel=\"noopener\">alpha \u6c34\u5e73<\/a>\u65f6\uff0c\u5355\u4e2a\u6d4b\u8bd5\u51fa\u73b0\u9519\u8bef\u53d1\u73b0\u7684\u53ef\u80fd\u6027\u53ea\u6709 5%\uff0c\u4f46\u7531\u4e8e\u60a8\u6b63\u5728\u8fdb\u884c\u5927\u91cf\u6d4b\u8bd5\uff0c\u56e0\u6b64\u60a8\u9884\u8ba1 100 \u6b21\u6d4b\u8bd5\u4e2d\u53ea\u6709\u5927\u7ea6 5 \u6b21\u4f1a\u5bfc\u81f4\u9519\u8bef\u53d1\u73b0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u73b0\u4ee3\u4e16\u754c\uff0c\u9519\u8bef\u53d1\u73b0\u53ef\u80fd\u662f\u4e00\u4e2a\u5e38\u89c1\u95ee\u9898\uff0c\u56e0\u4e3a\u6280\u672f\u5141\u8bb8\u7814\u7a76\u4eba\u5458\u4e00\u6b21\u6267\u884c\u6570\u767e\u751a\u81f3\u6570\u5343\u4e2a\u7edf\u8ba1\u6d4b\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u533b\u5b66\u7814\u7a76\u4eba\u5458\u53ef\u4ee5\u4e00\u6b21\u5bf9\u6570\u4e07\u4e2a\u57fa\u56e0\u8fdb\u884c\u7edf\u8ba1\u6d4b\u8bd5\u3002\u5373\u4f7f\u9519\u8bef\u53d1\u73b0\u7387\u4ec5\u4e3a 5%\uff0c\u8fd9\u4e5f\u610f\u5473\u7740\u6570\u767e\u6b21\u6d4b\u8bd5\u53ef\u80fd\u4f1a\u5bfc\u81f4\u9519\u8bef\u53d1\u73b0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a7\u5236\u9519\u8bef\u53d1\u73b0\u7387\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528\u6240\u8c13\u7684<strong>Benjamini-Hochberg \u7a0b\u5e8f\u3002<\/strong><\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u672c\u6770\u660e-\u970d\u8d6b\u4f2f\u683c\u7a0b\u5e8f<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u672c<strong>\u6770\u660e\u5c3c-\u970d\u8d6b\u4f2f\u683c\u7a0b\u5e8f\u7684<\/strong>\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u6b65\uff1a<\/strong>\u6267\u884c\u6240\u6709\u7edf\u8ba1\u6d4b\u8bd5\u5e76\u627e\u5230\u6bcf\u4e2a\u6d4b\u8bd5\u7684 p \u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a<\/strong>\u6309\u964d\u5e8f\u5bf9 p \u503c\u8fdb\u884c\u6392\u540d\uff0c\u4e3a\u6bcf\u4e2a\u503c\u6307\u5b9a\u4e00\u4e2a\u6392\u540d\uff1a\u6700\u5c0f\u503c\u7684\u6392\u540d\u4e3a 1\uff0c\u6b21\u5c0f\u7684\u503c\u7684\u6392\u540d\u4e3a 2\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a<\/strong>\u4f7f\u7528\u516c\u5f0f<em>(i\/m)*Q<\/em>\u8ba1\u7b97\u6bcf\u4e2a p \u503c\u7684\u4e34\u754c Benjamini-Hochberg \u503c<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>i<\/em> = p \u503c\u7684\u6392\u540d<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>m<\/em> = \u6d4b\u8bd5\u603b\u6570<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>Q<\/em> = \u60a8\u9009\u62e9\u7684\u9519\u8bef\u53d1\u73b0\u7387<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u627e\u5230\u5c0f\u4e8e\u4e34\u754c\u503c\u7684\u6700\u5927 p \u503c\u3002\u5c06\u5c0f\u4e8e\u6b64 p \u503c\u7684\u6bcf\u4e2a p \u503c\u6307\u5b9a\u4e3a\u663e\u7740\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u8bf4\u660e\u4e86\u5982\u4f55\u4f7f\u7528\u5177\u4f53\u503c\u6267\u884c\u6b64\u8fc7\u7a0b\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b\u5b50<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u7814\u7a76\u4eba\u5458\u60f3\u8981\u786e\u5b9a 20 \u4e2a\u4e0d\u540c\u7684\u53d8\u91cf\u662f\u5426\u4e0e\u5fc3\u810f\u75c5\u76f8\u5173\u3002\u4ed6\u4eec\u4e00\u6b21\u6267\u884c 20 \u4e2a\u5355\u72ec\u7684\u7edf\u8ba1\u6d4b\u8bd5\uff0c\u5e76\u6536\u5230\u6bcf\u4e2a\u6d4b\u8bd5\u7684 p \u503c\u3002\u4e0b\u8868\u663e\u793a\u4e86\u6bcf\u4e2a\u6d4b\u8bd5\u7684 p \u503c\uff0c\u6309\u964d\u5e8f\u6392\u5217\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5431 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg1-1.png\" alt=\"\u672c\u6770\u660e-\u970d\u8d6b\u4f2f\u683c\u8fc7\u7a0b\u793a\u4f8b\" width=\"242\" height=\"444\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u7814\u7a76\u4eba\u5458\u613f\u610f\u63a5\u53d7 20% \u7684\u9519\u8bef\u53d1\u73b0\u7387\u3002\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u6bcf\u4e2a p \u503c\u7684\u4e34\u754c Benjamini-Hochberg \u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a(i\/20)*0.2\uff0c\u5176\u4e2d<em>i<\/em> = p \u503c\u7684\u6392\u540d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u8868\u663e\u793a\u4e86\u6bcf\u4e2a\u5355\u72ec p \u503c\u7684\u4e34\u754c Benjamini-Hochberg \u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5432 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg2-1.png\" alt=\"Benjamini-Hochberg \u6570\u636e\u96c6\u793a\u4f8b\" width=\"288\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4f4e\u4e8e Benjamini-Hochberg \u4e34\u754c\u503c\u7684\u6700\u5927 p \u503c\u7684\u68c0\u9a8c\u662f\u53d8\u91cf #11\uff0c\u5176 p \u503c\u4e3a 0.039\uff0cBH \u4e34\u754c\u503c\u4e3a 0.040\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u8be5\u68c0\u9a8c\u548c\u6240\u6709\u5177\u6709\u8f83\u5c0f p \u503c\u7684\u68c0\u9a8c\u5c06\u88ab\u89c6\u4e3a\u663e\u7740\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5433 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg3.png\" alt=\"Bejamini-Hochberg \u8fc7\u7a0b\u793a\u4f8b\" width=\"341\" height=\"382\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u5373\u4f7f\u53d8\u91cf #17 \u548c #3 \u7684 p \u503c\u4e0d\u5c0f\u4e8e\u5176 BH \u4e34\u754c\u503c\uff0c\u5b83\u4eec\u4ecd\u7136\u88ab\u8ba4\u4e3a\u662f\u663e\u7740\u7684\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684 p \u503c\u5c0f\u4e8e\u53d8\u91cf #11\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5982\u4f55\u9009\u62e9\u9519\u8bef\u53d1\u73b0\u7387<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u672c\u6770\u660e-\u970d\u8d6b\u4f2f\u683c\u7a0b\u5e8f\u4e2d\u6700\u91cd\u8981\u7684\u6b65\u9aa4\u4e4b\u4e00\u662f\u9009\u62e9\u9519\u8bef\u53d1\u73b0\u7387\u3002\u60a8\u5e94\u8be5\u5728\u6536\u96c6\u6570\u636e\u6216\u6267\u884c\u7edf\u8ba1\u6d4b\u8bd5\u4e4b\u524d\u9009\u62e9\u9519\u8bef\u53d1\u73b0\u7387\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\uff0c\u60a8\u5c06\u5728\u5206\u6790\u7684\u63a2\u7d22\u9636\u6bb5\u6267\u884c\u5927\u91cf\u7edf\u8ba1\u6d4b\u8bd5\uff0c\u7136\u540e\u8fdb\u884c\u5176\u4ed6\u6d4b\u8bd5\u4ee5\u8fdb\u4e00\u6b65\u63a2\u7d22\u7ed3\u679c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u540e\u7eed\u6d4b\u8bd5\u6210\u672c\u4f4e\u5ec9\uff0c\u90a3\u4e48\u60a8\u53ef\u80fd\u4f1a\u8003\u8651\u8bbe\u7f6e\u8f83\u9ad8\u7684\u9519\u8bef\u53d1\u73b0\u7387\uff0c\u56e0\u4e3a\u5373\u4f7f\u60a8\u6709\u4e00\u4e9b\u9519\u8bef\u53d1\u73b0\uff0c\u60a8\u4e5f\u53ef\u80fd\u4f1a\u5728\u540e\u7eed\u6d4b\u8bd5\u4e2d\u53d1\u73b0\u8fd9\u4e9b\u9519\u8bef\u53d1\u73b0\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u5916\uff0c\u5982\u679c\u9519\u8fc7\u91cd\u8981\u53d1\u73b0\u7684\u6210\u672c\u5f88\u9ad8\uff0c\u60a8\u53ef\u80fd\u9700\u8981\u63d0\u9ad8\u9519\u8bef\u53d1\u73b0\u7387\uff0c\u4ee5\u514d\u9519\u8fc7\u4efb\u4f55\u91cd\u8981\u7684\u4e8b\u60c5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e\u60a8\u7684\u7814\u7a76\u6210\u672c\u4ee5\u53ca\u4e0d\u9519\u8fc7\u4efb\u4f55\u91cd\u8981\u53d1\u73b0\u7684\u91cd\u8981\u6027\uff0c\u9519\u8bef\u53d1\u73b0\u7387\u4f1a\u56e0\u60c5\u51b5\u800c\u5f02\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\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">P\u503c\u548c\u7edf\u8ba1\u663e\u7740\u6027\u7684\u89e3\u91ca<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5bb6\u5ead\u9519\u8bef\u7387\/\" target=\"_blank\" rel=\"noopener\">\u6bcf\u4e2a\u5bb6\u5ead\u7684\u9519\u8bef\u7387\u662f\u591a\u5c11\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4efb\u4f55\u65f6\u5019\u6267\u884c\u7edf\u8ba1\u68c0\u9a8c\u65f6\uff0c\u5373\u4f7f\u60a8\u7684\u539f\u5047\u8bbe\u4e3a\u771f\uff0c\u60a8\u4e5f\u6709\u53ef\u80fd\u7eaf\u5c5e\u5076\u7136\u5730\u83b7\u5f97\u5c0f\u4e8e 0.05 \u7684 p \u503c\u3002 \u4f8b\u5982\uff0c\u5047\u8bbe\u60a8 [&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-592","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>\u672c\u6770\u660e-\u970d\u8d6b\u4f2f\u683c\u7a0b\u5e8f\u6307\u5357 - Statorials<\/title>\n<meta name=\"description\" content=\"\u5bf9 Benjamini-Hochberg \u8fc7\u7a0b\u7684\u7b80\u5355\u89e3\u91ca\uff0c\u5305\u62ec\u6b63\u5f0f\u5b9a\u4e49\u548c\u793a\u4f8b\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\/\u672c\u6770\u7c73\u5c3c\u00b7\u970d\u8d6b\u4f2f\u683c\u624b\u672f\/\" \/>\n<meta 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