{"id":1134,"date":"2015-07-17T21:22:29","date_gmt":"2015-07-17T20:22:29","guid":{"rendered":"http:\/\/stg-blogs.bmj.com\/adc\/?p=1134"},"modified":"2015-07-16T16:00:51","modified_gmt":"2015-07-16T15:00:51","slug":"ministatsblog-bonferroni-correction","status":"publish","type":"post","link":"https:\/\/stg-blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/","title":{"rendered":"StatsMiniBlog: Bonferroni Correction"},"content":{"rendered":"<p><a href=\"https:\/\/stg-blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\" size-full wp-image-859 alignleft\" src=\"https:\/\/stg-blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg\" alt=\"20140205-091454.jpg\" width=\"180\" height=\"76\" \/><\/a>The Bonferroni Correction is the simplest, the most understandable, and the most extreme way of correcting for multiple statistical tests.<\/p>\n<p>You take your &#8216;significance&#8217; level and divide by the number of tests you are doing.<\/p>\n<p>So\u00a0if you have set &#8216;significance&#8217; at 0.05, and do 5 different statistical tests, to be actually sure that your &#8220;rejection of the null hypothesis&#8221; (aka &#8211; it&#8217;s significant! it works!), you need to see the result to be<\/p>\n<p>0.05 \/ 5 = 0.01 \u00a0&#8230;. \u00a0so &#8230;<\/p>\n<p>p &lt;0.01 before you can really call it a &#8216;significant&#8217; result.<\/p>\n<p>&#8211; Archi<\/p>\n<p>(It&#8217;s a bit harsh. It probably makes you make too many <a href=\"https:\/\/stg-blogs.bmj.com\/adc\/2013\/09\/12\/statsminiblog-type-i-and-ii-errors\/\">type II errors<\/a>.)<\/p>\n<p>(You can also apply it to correct confidence intervals. Do five tests, for the &#8216;real&#8217; 95% confidence interval for each one, you need to calculate the 99% confidence interval.)<!--TrendMD v2.4.8--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Bonferroni Correction is the simplest, the most understandable, and the most extreme way of correcting for multiple statistical tests. You take your &#8216;significance&#8217; level and divide by the number of tests you are doing. So\u00a0if you have set &#8216;significance&#8217; at 0.05, and do 5 different statistical tests, to be actually sure that your &#8220;rejection [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/stg-blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[2676],"tags":[],"class_list":["post-1134","post","type-post","status-publish","format-standard","hentry","category-stats"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/posts\/1134","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/comments?post=1134"}],"version-history":[{"count":0,"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/posts\/1134\/revisions"}],"wp:attachment":[{"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/media?parent=1134"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/categories?post=1134"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stg-blogs.bmj.com\/adc\/wp-json\/wp\/v2\/tags?post=1134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}