{"id":1360,"date":"2023-07-26T17:40:11","date_gmt":"2023-07-26T17:40:11","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%96%af%e7%89%b9%e5%a5%87%e6%96%af%e8%a7%84%e5%88%99\/"},"modified":"2023-07-26T17:40:11","modified_gmt":"2023-07-26T17:40:11","slug":"%e6%96%af%e7%89%b9%e5%a5%87%e6%96%af%e8%a7%84%e5%88%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%96%af%e7%89%b9%e5%a5%87%e6%96%af%e8%a7%84%e5%88%99\/","title":{"rendered":"\u65af\u7279\u5947\u65af\u662f\u4ec0\u4e48\uff1f\u7edf\u6cbb\u8005\uff1f \uff08\u5b9a\u4e49&amp;#038\uff1b\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u76f4\u65b9\u56fe<\/strong>\u662f\u4e00\u79cd\u5e2e\u52a9\u6211\u4eec\u53ef\u89c6\u5316\u4e00\u7ec4\u6570\u636e\u4e2d\u503c\u7684\u5206\u5e03\u7684\u56fe\u8868\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e8b\u5b9e\u8bc1\u660e\uff0c\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u65b9\u6846\u6570\u91cf\u4f1a\u5bf9\u6211\u4eec\u89e3\u91ca\u6570\u636e\u7684\u65b9\u5f0f\u4ea7\u751f\u5de8\u5927\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u4f7f\u7528\u7684\u7ec4\u592a\u5c11\uff0c\u6570\u636e\u4e2d\u771f\u6b63\u7684\u5e95\u5c42\u6a21\u5f0f\u53ef\u80fd\u4f1a\u88ab\u9690\u85cf\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13279 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges1.png\" alt=\"\" width=\"378\" height=\"385\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u4f7f\u7528\u592a\u591a\u7ec4\uff0c\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u5730\u53ef\u89c6\u5316\u6570\u636e\u96c6\u4e2d\u7684\u566a\u58f0\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13280 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges2.png\" alt=\"\" width=\"431\" height=\"424\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5e78\u8fd0\u7684\u662f\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a\u65af\u7279\u5409\u65af\u89c4\u5219\u7684\u65b9\u6cd5\u6765\u786e\u5b9a\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u6700\u4f73\u6846\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u65af\u7279\u5409\u65af\u89c4\u5219<\/strong>\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u786e\u5b9a\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u6700\u4f73\u7ec4\u6570\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6700\u4f73 bin = \u2308log <sub>2<\/sub> n + 1\u2309<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6570\u636e\u96c6\u4e2d\u7684<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u89c2\u5bdf\/\" target=\"_blank\" rel=\"noopener\">\u89c2\u6d4b<\/a>\u603b\u6570\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u2308 \u2309\uff1a<\/strong>\u8868\u793a\u201c\u4e0a\u9650\u201d\u7684\u7b26\u53f7\uff0c\u5373\u5c06\u7b54\u6848\u56db\u820d\u4e94\u5165\u5230\u6700\u63a5\u8fd1\u7684\u6574\u6570\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u65af\u7279\u5409\u65af\u89c4\u5219<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff0c\u603b\u5171\u6709 n = 31 \u4e2a\u89c2\u6d4b\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13281 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges3.png\" alt=\"\" width=\"93\" height=\"642\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u65af\u7279\u5409\u65af\u89c4\u5219\u6765\u786e\u5b9a\u7528\u4e8e\u5728\u76f4\u65b9\u56fe\u4e2d\u53ef\u89c6\u5316\u8fd9\u4e9b\u503c\u7684\u6700\u4f73\u6846\u6570\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6700\u4f73 bin<\/strong> = \u2308log <sub>2<\/sub> (31) + 1\u2309 = \u23084.954 + 1\u2309 = \u23085.954\u2309 = <strong>6<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e Sturges \u89c4\u5219\uff0c\u6211\u4eec\u5e94\u8be5\u5728\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528 6 \u4e2a\u7bb1\u6765\u53ef\u89c6\u5316\u8be5\u503c\u7684\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u8be5\u6570\u636e\u96c6\uff0c\u5305\u542b 6 \u4e2a\u7ec4\u7684\u76f4\u65b9\u56fe\u5982\u4e0b\u6240\u793a\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13282 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges4.png\" alt=\"\u4f7f\u7528\u65af\u7279\u5409\u65af\u89c4\u5219\u786e\u5b9a\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u6846\u6570\" width=\"445\" height=\"445\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u8fd9\u4f3c\u4e4e\u8db3\u4ee5\u5f88\u597d\u5730\u4e86\u89e3\u503c\u7684\u57fa\u672c\u5206\u5e03\uff0c\u800c\u4e0d\u4f1a\u56e0\u4e3a\u6570\u91cf\u592a\u591a\u800c\u65e0\u6cd5\u7b80\u5355\u5730\u53ef\u89c6\u5316\u6570\u636e\u4e2d\u7684\u566a\u58f0\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65af\u7279\u5947\u65af\u89c4\u5219\u7684\u5171\u540c\u4ef7\u503c\u89c2<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e0b\u8868\u663e\u793a\u4e86\u6839\u636e\u65af\u7279\u5409\u65af\u89c4\u5219\uff0c\u57fa\u4e8e\u6570\u636e\u96c6\u4e2d\u7684\u89c2\u6d4b\u603b\u6570\u7684\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u6700\u4f73\u7ec4\u6570\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13283 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sturges5.png\" alt=\"\u4e0d\u540c\u6837\u672c\u91cf\u7684\u65af\u7279\u5409\u65af\u89c4\u5219\" width=\"213\" height=\"263\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u65af\u7279\u5947\u65af\u89c4\u5219\u7684\u66ff\u4ee3\u65b9\u6848<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u65af\u7279\u5409\u65af\u89c4\u5219\u662f\u786e\u5b9a\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u6700\u4f73\u7bb1\u6570\u7684\u6700\u5e38\u7528\u65b9\u6cd5\uff0c\u4f46\u8fd8\u6709\u591a\u79cd\u66ff\u4ee3\u65b9\u6cd5\uff0c\u5305\u62ec\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5e73\u65b9\u6839\u89c4\u5219<\/strong>\uff1a\u76d2\u5b50\u6570\u91cf = \u2308\u221a <span style=\"text-decoration: overline;\">n<\/span> \u2309<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5927\u7c73\u89c4\u5219\uff1a<\/strong>\u7bb1\u6570 = \u23082 * <sup>3<\/sup> \u221a <span style=\"text-decoration: overline;\">n<\/span> \u2309<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Freedman-Diaconis \u89c4\u5219\uff1a<\/strong>\u6846\u6570 = (2*IQR) \/ <sup>3<\/sup> \u221a <span style=\"text-decoration: overline;\">n<\/span>\u5176\u4e2d<em>IQR<\/em>\u662f\u56db\u5206\u4f4d\u6570\u8303\u56f4\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5956\u52b1\uff1a\u65af\u7279\u5409\u65af\u89c4\u5219\u8ba1\u7b97\u5668<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u6b64\u514d\u8d39\u5728\u7ebf\u8ba1\u7b97\u5668\u81ea\u52a8\u5e94\u7528\u65af\u7279\u5409\u65af\u89c4\u5219\uff0c\u6839\u636e\u6570\u636e\u96c6\u7684\u5927\u5c0f\u786e\u5b9a\u7528\u4e8e\u76f4\u65b9\u56fe\u7684\u6700\u4f73\u7ec4\u6570\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76f4\u65b9\u56fe\u662f\u4e00\u79cd\u5e2e\u52a9\u6211\u4eec\u53ef\u89c6\u5316\u4e00\u7ec4\u6570\u636e\u4e2d\u503c\u7684\u5206\u5e03\u7684\u56fe\u8868\u3002 \u4e8b\u5b9e\u8bc1\u660e\uff0c\u76f4\u65b9\u56fe\u4e2d\u4f7f\u7528\u7684\u65b9\u6846\u6570\u91cf\u4f1a\u5bf9\u6211\u4eec\u89e3\u91ca\u6570\u636e\u7684\u65b9\u5f0f\u4ea7 [&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-1360","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\u662f\u65af\u7279\u5947\u65af\u89c4\u5219\uff1f \uff08\u5b9a\u4e49\u548c\u793a\u4f8b\uff09- Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u5feb\u901f\u4ecb\u7ecd\u4e86\u65af\u7279\u5947\u65af\u89c4\u5219\uff0c\u5305\u62ec\u5b9a\u4e49\u548c\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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