{"id":498,"date":"2023-07-29T17:16:51","date_gmt":"2023-07-29T17:16:51","guid":{"rendered":"https:\/\/statorials.org\/cn\/dixons-q-%e6%a3%80%e9%aa%8c%e5%bc%82%e5%b8%b8%e5%80%bc\/"},"modified":"2023-07-29T17:16:51","modified_gmt":"2023-07-29T17:16:51","slug":"dixons-q-%e6%a3%80%e9%aa%8c%e5%bc%82%e5%b8%b8%e5%80%bc","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/dixons-q-%e6%a3%80%e9%aa%8c%e5%bc%82%e5%b8%b8%e5%80%bc\/","title":{"rendered":"Dixon \u7684 q \u68c0\u9a8c\uff1a\u5b9a\u4e49 + \u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Dixon \u7684 Q \u68c0\u9a8c<\/strong>\uff08\u901a\u5e38\u7b80\u79f0\u4e3a<strong>Q \u68c0\u9a8c<\/strong>\uff09\u662f\u4e00\u79cd\u7edf\u8ba1\u68c0\u9a8c\uff0c\u7528\u4e8e\u68c0\u6d4b\u6570\u636e\u96c6\u4e2d\u7684\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">Q \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Q<\/strong> = |x <sub>a<\/sub> \u2013 <sub>xb<\/sub> | \/R<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d<strong>x <sub>a<\/sub><\/strong>\u662f\u53ef\u7591\u5f02\u5e38\u503c\uff0c <strong>x <sub>b<\/sub><\/strong>\u662f\u6700\u63a5\u8fd1 x <sub>a<\/sub>\u7684\u6570\u636e\u70b9\uff0c <strong>R<\/strong>\u662f\u6570\u636e\u96c6\u7684\u8303\u56f4\u3002<\/span><span style=\"color: #000000;\">\u5927\u591a\u6570\u60c5\u51b5\u4e0b\uff0cx <sub>a<\/sub>\u662f\u6570\u636e\u96c6\u7684\u6700\u5927\u503c\uff0c\u4f46\u4e5f\u53ef\u4ee5\u662f\u6700\u5c0f\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0cQ \u68c0\u9a8c\u901a\u5e38\u5728\u5c0f\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\uff0c\u5e76\u4e14\u5047\u8bbe\u6570\u636e\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><span style=\"color: #000000;\">\u8fd8\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6570\u636e\u96c6\uff0cQ \u68c0\u9a8c\u53ea\u80fd\u6267\u884c\u4e00\u6b21\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5982\u4f55\u624b\u52a8\u6267\u884c Dixon Q \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>1, 3, 5, 7, 8, 9, 13, 25<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u6309\u7167<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u5b66\u4ee5\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f\u89e3\u91ca\u6982\u5ff5\uff0c\u6211\u4eec\u4f7f\u5b66\u4e60\u7edf\u8ba1\u53d8\u5f97\u66f4\u5bb9\u6613\/\" target=\"_blank\" rel=\"noopener\">\u6807\u51c6\u7684\u4e94\u6b65\u5047\u8bbe\u68c0\u9a8c\u7a0b\u5e8f<\/a>\u624b\u52a8\u6267\u884c Dixon&#8217;s Q \u68c0\u9a8c\u6765\u786e\u5b9a\u8be5\u6570\u636e\u96c6\u4e2d\u7684\u6700\u5927\u503c\u662f\u5426\u4e3a\u5f02\u5e38\u503c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1. \u9648\u8ff0\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u539f\u5047\u8bbe (H0)\uff1a\u6700\u5927\u503c\u4e0d\u662f\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5907\u62e9\u5047\u8bbe\uff1a (Ha)\uff1a\u6700\u5927\u503c<em>\u662f<\/em>\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2. \u786e\u5b9a\u8981\u4f7f\u7528\u7684\u663e\u7740\u6027\u6c34\u5e73\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e38\u89c1\u7684\u9009\u62e9\u662f 0.1\u30010.05 \u548c 0.01\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528 0.05 \u7684\u663e\u7740\u6027\u6c34\u5e73\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3. \u6c42\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Q<\/strong> = |x <sub>a<\/sub> \u2013 <sub>xb<\/sub> | \/R<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u672c\u4f8b\u4e2d\uff0c\u6700\u5927\u503c\u662f x <sub>a<\/sub> = 25\uff0c\u4e0b\u4e00\u4e2a\u6700\u63a5\u8fd1\u7684\u503c\u662f x <sub>b<\/sub> = 13\uff0c\u8303\u56f4\u662f R = 25 \u2013 1 = 24\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c <strong>Q<\/strong> = |25 \u2013 13| \/ 24 = <strong>0.5<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u5c06\u6b64\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e0e\u5173\u952e Q \u68c0\u9a8c\u503c\u8fdb\u884c\u6bd4\u8f83\uff0c\u5982\u4e0b\u6240\u793a\uff0c\u9488\u5bf9\u4e0d\u540c\u7684\u6837\u672c\u91cf (n) \u548c\u7f6e\u4fe1\u6c34\u5e73\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>90% 95% 99%<\/strong><\/span><br \/> <span style=\"color: #000000;\"><strong>3<\/strong> 0.941 0.970 0.994<\/span><br \/> <span style=\"color: #000000;\"><strong>4<\/strong> 0.765 0.829 0.926<\/span><br \/> <span style=\"color: #000000;\"><strong>5<\/strong> 0.642 0.710 0.821<\/span><br \/> <span style=\"color: #000000;\"><strong>6<\/strong> 0.560 0.625 0.740<\/span><br \/> <span style=\"color: #000000;\"><strong>7<\/strong> 0.507 0.568 0.680<\/span><br \/> <span style=\"color: #000000;\"><strong>8<\/strong> 0.468 0.526 0.634<\/span><br \/> <span style=\"color: #000000;\"><strong>9<\/strong> 0.437 0.493 0.598<\/span><br \/> <span style=\"color: #000000;\"><strong>10<\/strong> 0.412 0.466 0.568<\/span><br \/> <span style=\"color: #000000;\"><strong>11<\/strong> 0.392 0.444 0.542<\/span><br \/> <span style=\"color: #000000;\"><strong>12<\/strong> 0.376 0.426 0.522<\/span><br \/> <span style=\"color: #000000;\"><strong>13<\/strong> 0.361 0.410 0.503<\/span><br \/> <span style=\"color: #000000;\"><strong>14<\/strong> 0.349 0.396 0.488<\/span><br \/> <span style=\"color: #000000;\"><strong>15<\/strong> 0.338 0.384 0.475<\/span><br \/> <span style=\"color: #000000;\"><strong>16<\/strong> 0.329 0.374 0.463<\/span><br \/> <span style=\"color: #000000;\"><strong>17<\/strong> 0.320 0.365 0.452<\/span><br \/> <span style=\"color: #000000;\"><strong>18<\/strong> 0.313 0.356 0.442<\/span><br \/> <span style=\"color: #000000;\"><strong>19<\/strong> 0.306 0.349 0.433<\/span><br \/> <span style=\"color: #000000;\"><strong>20<\/strong> 0.300 0.342 0.425<\/span><br \/> <span style=\"color: #000000;\"><strong>21<\/strong> 0.295 0.337 0.418<\/span><br \/> <span style=\"color: #000000;\"><strong>22<\/strong> 0.290 0.331 0.411<\/span><br \/> <span style=\"color: #000000;\"><strong>23<\/strong> 0.285 0.326 0.404<\/span><br \/> <span style=\"color: #000000;\"><strong>24<\/strong> 0.281 0.321 0.399<\/span><br \/> <span style=\"color: #000000;\"><strong>25<\/strong> 0.277 0.317 0.393<\/span><br \/> <span style=\"color: #000000;\"><strong>26<\/strong> 0.273 0.312 0.388<\/span><br \/> <span style=\"color: #000000;\"><strong>27<\/strong> 0.269 0.308 0.384<\/span><br \/> <span style=\"color: #000000;\"><strong>28<\/strong> 0.266 0.305 0.380<\/span><br \/> <span style=\"color: #000000;\"><strong>29<\/strong> 0.263 0.301 0.376<\/span><br \/> <span style=\"color: #000000;\"><strong>30<\/strong> 0.260 0.290 0.372<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6837\u672c\u6570\u4e3a 8\u3001\u7f6e\u4fe1\u5ea6\u4e3a 95% \u7684\u4e34\u754c\u503c\u4e3a<strong>0.526<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4. \u62d2\u7edd\u6216\u4e0d\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf Q\uff080.5\uff09\u5c0f\u4e8e\u4e34\u754c\u503c\uff080.526\uff09\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 5. \u89e3\u91ca\u7ed3\u679c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u672a\u80fd\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u56e0\u6b64\u6211\u4eec\u5f97\u51fa\u7ed3\u8bba\uff0c\u6700\u5927\u503c<em>25<\/em>\u4e0d\u662f\u8be5\u6570\u636e\u96c6\u4e2d\u7684\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Dixon \u7684 Q \u68c0\u9a8c<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u8981\u5728 R \u4e2d\u5bf9\u540c\u4e00\u6570\u636e\u96c6\u6267\u884c Dixon \u7684 Q \u68c0\u9a8c\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>\u5f02\u5e38\u503c<\/strong>\u5e93\u4e2d\u7684<strong>dixon.test()<\/strong>\u51fd\u6570\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">dixon.test(\u6570\u636e, , \u7c7b\u578b = 10, \u76f8\u53cd = FALSE)<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u6570\u636e\uff1a<\/strong>\u6570\u636e\u503c\u7684\u6570\u503c\u5411\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>type\uff1a<\/strong>\u7528\u4e8e\u6267\u884c Q \u7edf\u8ba1\u68c0\u9a8c\u7684\u516c\u5f0f\u7c7b\u578b\u3002\u8bbe\u7f6e\u4e3a 10 \u4ee5\u4f7f\u7528\u524d\u9762\u63cf\u8ff0\u7684\u516c\u5f0f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u76f8\u53cd\uff1a<\/strong>\u5982\u679c\u4e3a FALSE\uff0c\u5219\u6d4b\u8bd5\u786e\u5b9a\u6700\u5927\u503c\u662f\u5426\u4e3a\u5f02\u5e38\u503c\u3002\u5982\u679c\u4e3a TRUE\uff0c\u5219\u6d4b\u8bd5\u786e\u5b9a\u6700\u5c0f\u503c\u662f\u5426\u4e3a\u5f02\u5e38\u503c\u3002\u9ed8\u8ba4\u60c5\u51b5\u4e0b\u8fd9\u662f FALSE\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><em>\u6ce8\u610f<\/em>\uff1a <em><a href=\"https:\/\/www.rdocumentation.org\/packages\/outliers\/versions\/0.14\/topics\/dixon.test\" target=\"_blank\" rel=\"noopener\">\u5728\u6b64\u5904<\/a>\u67e5\u627e dixon.test() \u7684\u5b8c\u6574\u6587\u6863\u3002<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u6f14\u793a\u4e86\u5982\u4f55\u6267\u884c Dixon&#8217;s Q \u68c0\u9a8c\u6765\u786e\u5b9a\u6570\u636e\u96c6\u4e2d\u7684\u6700\u5927\u503c\u662f\u5426\u4e3a\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the <em>outliers<\/em> library<\/span>\nlibrary(outliers)\n\n<span style=\"color: #008080;\">#create data\n<\/span>data &lt;- c(1, 3, 5, 7, 8, 9, 13, 25)\n\n<span style=\"color: #008080;\">#conduct Dixon's Q Test\n<\/span>dixon.test(data, type = 10)\n\n# Dixon test for outliers\n#\n#data:data\n#Q = 0.5, p-value = 0.06913\n#alternative hypothesis: highest value 25 is an outlier\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ece\u7ed3\u679c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a Q = <strong>0.5<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.06913<\/strong> \u3002\u56e0\u6b64\uff0c\u6211\u4eec\u672a\u80fd\u62d2\u7edd 0.05 \u663e\u7740\u6027\u6c34\u5e73\u7684\u96f6\u5047\u8bbe\uff0c\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a <em>25<\/em>\u4e0d\u662f\u5f02\u5e38\u503c\u3002\u8fd9\u4e0e\u6211\u4eec\u624b\u52a8\u83b7\u5f97\u7684\u7ed3\u679c\u76f8\u5bf9\u5e94\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dixon \u7684 Q \u68c0\u9a8c\uff08\u901a\u5e38\u7b80\u79f0\u4e3aQ \u68c0\u9a8c\uff09\u662f\u4e00\u79cd\u7edf\u8ba1\u68c0\u9a8c\uff0c\u7528\u4e8e\u68c0\u6d4b\u6570\u636e\u96c6\u4e2d\u7684\u5f02\u5e38\u503c\u3002 Q \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a\uff1a  [&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-498","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>Dixon \u7684 Q \u68c0\u9a8c\uff1a\u5b9a\u4e49 + \u793a\u4f8b - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u7528\u4e8e\u68c0\u6d4b\u79bb\u7fa4\u503c\u7684 Dixon Q \u6d4b\u8bd5\u7684\u7b80\u5355\u8bf4\u660e\uff0c\u4ee5\u53ca R \u4e2d\u7684\u793a\u4f8b\u6765\u8bf4\u660e\u6d4b\u8bd5\u7684\u5b9e\u9645\u60c5\u51b5\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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