{"id":1242,"date":"2023-07-27T04:19:56","date_gmt":"2023-07-27T04:19:56","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-bonferroni-%e6%a0%a1%e6%ad%a3\/"},"modified":"2023-07-27T04:19:56","modified_gmt":"2023-07-27T04:19:56","slug":"r-%e4%b8%ad%e7%9a%84-bonferroni-%e6%a0%a1%e6%ad%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-bonferroni-%e6%a0%a1%e6%ad%a3\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u6267\u884c bonferroni \u6821\u6b63"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u65b9\u5dee\u5206\u6790\u8868\u7684\u603b\u4f53<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 noreferrer\">p \u503c<\/a>\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff0c\u5219\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u81f3\u5c11\u5176\u4e2d\u4e00\u4e2a\u7ec4\u5747\u503c\u4e0e\u5176\u4ed6\u5747\u503c\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u8fd9\u5e76\u6ca1\u6709\u544a\u8bc9\u6211\u4eec<em>\u54ea\u4e9b<\/em>\u7fa4\u4f53\u5f7c\u6b64\u4e0d\u540c\u3002\u8fd9\u53ea\u662f\u544a\u8bc9\u6211\u4eec\u5e76\u975e\u6240\u6709\u7ec4\u7684\u5e73\u5747\u503c\u90fd\u662f\u76f8\u7b49\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u51c6\u786e\u5730\u77e5\u9053\u54ea\u4e9b\u7ec4\u5f7c\u6b64\u4e0d\u540c\uff0c\u6211\u4eec\u9700\u8981\u5728\u6bcf\u7ec4\u4e4b\u95f4\u6267\u884c\u6210\u5bf9 t \u68c0\u9a8c\uff0c<\/span><span style=\"color: #000000;\">\u540c\u65f6\u63a7\u5236<a href=\"https:\/\/statorials.org\/cn\/\u5bb6\u5ead\u9519\u8bef\u7387\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u65cf\u9519\u8bef\u7387<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5b9e\u73b0\u6b64\u76ee\u7684\u7684\u6700\u5e38\u89c1\u65b9\u6cd5\u4e4b\u4e00\u662f\u5728\u8ba1\u7b97\u6bcf\u4e2a\u6210\u5bf9 t \u68c0\u9a8c\u7684 p \u503c\u65f6\u4f7f\u7528<strong>Bonferroni \u6821\u6b63<\/strong>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Bonferroni \u6821\u6b63\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aR \u4e2d\u7684 Bonferroni \u6821\u6b63<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u8001\u5e08\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u5b66\u4e60\u6280\u5de7\u662f\u5426\u4f1a\u5bfc\u81f4\u5b66\u751f\u7684\u8003\u8bd5\u6210\u7ee9\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u5979\u968f\u673a\u5206\u914d 10 \u540d\u5b66\u751f\u4f7f\u7528\u6bcf\u79cd\u5b66\u4e60\u6280\u5de7\u3002<\/span><span style=\"color: #000000;\">\u5728\u4f7f\u7528\u6307\u5b9a\u7684\u5b66\u4e60\u6280\u5de7\u4e00\u5468\u540e\uff0c\u6bcf\u4e2a\u5b66\u751f\u90fd\u4f1a\u53c2\u52a0\u76f8\u540c\u7684\u8003\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 R \u4e2d\u7684\u4ee5\u4e0b\u6b65\u9aa4\u6765\u62df\u5408\u5355\u5411\u65b9\u5dee\u5206\u6790\uff0c\u5e76\u4f7f\u7528 Bonferroni \u6821\u6b63\u6765\u8ba1\u7b97\u6bcf\u7ec4\u8003\u8bd5\u7ed3\u679c\u4e4b\u95f4\u7684\u6210\u5bf9\u5dee\u5f02\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u6b65\u9aa4 1\uff1a\u521b\u5efa\u6570\u636e\u96c6\u3002<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u6f14\u793a\u4e86\u5982\u4f55\u521b\u5efa\u5305\u542b\u6240\u6709 30 \u540d\u5b66\u751f\u7684\u8003\u8bd5\u7ed3\u679c\u7684\u6570\u636e\u96c6\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndata &lt;- data.frame(technique = <span style=\"color: #3366ff;\">rep<\/span> (c(\"tech1\", \"tech2\", \"tech3\"), <span style=\"color: #3366ff;\">each<\/span> = <span style=\"color: #008000;\">10<\/span> ),\n                   score = c(76, 77, 77, 81, 82, 82, 83, 84, 85, 89,\n                             81, 82, 83, 83, 83, 84, 87, 90, 92, 93,\n                             77, 78, 79, 88, 89, 90, 91, 95, 95, 98))\n\n<span style=\"color: #008080;\">#view first six rows of data frame<\/span>\nhead(data)\n\n  technical score\n1 tech1 76\n2 tech1 77\n3 tech1 77\n4 tech1 81\n5 tech1 82\n6 tech1 82\n<\/strong><\/pre>\n<p><strong><span style=\"color: #000000;\">\u7b2c 2 \u6b65\uff1a\u67e5\u770b\u6bcf\u7ec4\u7684\u8003\u8bd5\u7ed3\u679c\u3002<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u751f\u6210\u7bb1\u7ebf\u56fe\u4ee5\u53ef\u89c6\u5316\u6bcf\u7ec4\u8003\u8bd5\u7ed3\u679c\u7684\u5206\u5e03\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>boxplot(score ~ technique,\n        data = data,\n        main = \"Exam Scores by Studying Technique\",\n        xlab = \"Studying Technique\",\n        ylab = \"Exam Scores\",\n        col = \"steelblue\",\n        border = \"black\")\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12294\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bonf1.png\" alt=\"R \u4e2d\u7684 Bonferroni \u6821\u6b63\" width=\"411\" height=\"410\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><strong><span style=\"color: #000000;\">\u6b65\u9aa4 3\uff1a\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\u3002<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\u6765\u6d4b\u8bd5\u6bcf\u7ec4\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u4e4b\u95f4\u7684\u5dee\u5f02\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the one-way ANOVA model<\/span>\nmodel &lt;- aov(score ~ technique, data = data)\n\n<span style=\"color: #008080;\">#view model output\n<\/span>summary(model)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)  \ntechnical 2 211.5 105.73 3.415 0.0476 *\nResiduals 27 836.0 30.96                 \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u603b\u4f53 p \u503c ( <strong>0.0476<\/strong> ) \u5c0f\u4e8e 0.05\uff0c\u8fd9\u8868\u660e\u6bcf\u4e2a\u7ec4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u4e0d\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528 p \u503c\u7684 Bonferroni \u6821\u6b63\u8fdb\u884c\u6210\u5bf9 t \u68c0\u9a8c\uff0c\u4ee5\u8ba1\u7b97\u6bcf\u7ec4\u8003\u8bd5\u7ed3\u679c\u4e4b\u95f4\u7684\u6210\u5bf9\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u6267\u884c\u914d\u5bf9 t \u68c0\u9a8c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8981\u5728 R \u4e2d\u4f7f\u7528 Bonferroni \u6821\u6b63\u6267\u884c\u6210\u5bf9 t \u68c0\u9a8c\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/www.rdocumentation.org\/packages\/stats\/versions\/3.6.2\/topics\/pairwise.t.test\" target=\"_blank\" rel=\"noopener noreferrer\">pairwise.t.test()<\/a>\u51fd\u6570\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>pairwise.t.test(x, g, p.adjust.method=\u201dbonferroni\u201d)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x\uff1a<\/strong>\u54cd\u5e94\u503c\u7684\u6570\u503c\u5411\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>g\uff1a<\/strong>\u6307\u5b9a\u7ec4\u540d\u79f0\u7684\u5411\u91cf\uff08\u4f8b\u5982\u7814\u7a76\u6280\u672f\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u5728\u6211\u4eec\u7684\u793a\u4f8b\u4e2d\u4f7f\u7528\u6b64\u51fd\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform pairwise t-tests with Bonferroni's correction<\/span>\npairwise.t.test(data$score, data$technique, p.adjust.method=\" <span style=\"color: #008000;\">bonferroni<\/span> \")\n\n\tPairwise comparisons using t tests with pooled SD \n\ndata: data$score and data$technique \n\n      tech1 tech2\ntech2 0.309 -    \ntech3 0.048 1.000\n\nP value adjustment method: bonferroni<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7ed3\u679c\u89e3\u91ca\u65b9\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6280\u672f 1 \u548c\u6280\u672f 2 \u4e4b\u95f4\u7684\u8003\u8bd5\u6210\u7ee9\u5e73\u5747\u5dee\u5f02\u7684\u8c03\u6574 p \u503c\u4e3a<strong>0.309<\/strong> \u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6280\u672f 1 \u548c\u6280\u672f 3 \u4e4b\u95f4\u7684\u8003\u8bd5\u6210\u7ee9\u5e73\u5747\u5dee\u5f02\u7684\u8c03\u6574 p \u503c\u4e3a<strong>0.048<\/strong> \u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6280\u672f 2 \u548c\u6280\u672f 3 \u4e4b\u95f4\u8003\u8bd5\u6210\u7ee9\u5e73\u5747\u5dee\u5f02\u7684\u8c03\u6574 p \u503c\u4e3a<strong>1000<\/strong> \u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6839\u636e\u7ed3\u679c\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u552f\u4e00\u663e\u7740\u7684\u5dee\u5f02\u662f\u6280\u672f 1 \u548c\u6280\u672f 3 \u4e4b\u95f4\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\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5355\u5411\u65b9\u5dee\u5206\u6790\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u56fe\u57fa\u6d4b\u8bd5\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Tukey \u6d4b\u8bd5<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u9093\u5185\u8328\u8bd5\u9a8c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c Dunnett \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u5411\u65b9\u5dee\u5206\u6790\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002 \u5982\u679c\u65b9\u5dee\u5206\u6790\u8868\u7684\u603b\u4f53p \u503c\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e [&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-1242","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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