{"id":1134,"date":"2015-07-17T21:22:29","date_gmt":"2015-07-17T20:22:29","guid":{"rendered":"https:\/\/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:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/","title":{"rendered":"StatsMiniBlog: Bonferroni Correction"},"content":{"rendered":"

\"20140205-091454.jpg\"<\/a>The Bonferroni Correction is the simplest, the most understandable, and the most extreme way of correcting for multiple statistical tests.<\/p>\n

You take your ‘significance’ level and divide by the number of tests you are doing.<\/p>\n

So\u00a0if you have set ‘significance’ at 0.05, and do 5 different statistical tests, to be actually sure that your “rejection of the null hypothesis” (aka – it’s significant! it works!), you need to see the result to be<\/p>\n

0.05 \/ 5 = 0.01 \u00a0…. \u00a0so …<\/p>\n

p <0.01 before you can really call it a ‘significant’ result.<\/p>\n

– Archi<\/p>\n

(It’s a bit harsh. It probably makes you make too many type II errors<\/a>.)<\/p>\n

(You can also apply it to correct confidence intervals. Do five tests, for the ‘real’ 95% confidence interval for each one, you need to calculate the 99% confidence interval.)<\/p>\n","protected":false},"excerpt":{"rendered":"

The Bonferroni Correction is the simplest, the most understandable, and the most extreme way of correcting for multiple statistical tests. You take your ‘significance’ level and divide by the number of tests you are doing. So\u00a0if you have set ‘significance’ at 0.05, and do 5 different statistical tests, to be actually sure that your “rejection […]<\/p>\n

Read More…<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2676],"tags":[],"class_list":["post-1134","post","type-post","status-publish","format-standard","hentry","category-stats"],"yoast_head":"\nStatsMiniBlog: Bonferroni Correction - ADC Online Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"StatsMiniBlog: Bonferroni Correction - ADC Online Blog\" \/>\n<meta property=\"og:description\" content=\"The Bonferroni Correction is the simplest, the most understandable, and the most extreme way of correcting for multiple statistical tests. You take your ‘significance’ level and divide by the number of tests you are doing. So\u00a0if you have set ‘significance’ at 0.05, and do 5 different statistical tests, to be actually sure that your “rejection [...]Read More...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/\" \/>\n<meta property=\"og:site_name\" content=\"ADC Online Blog\" \/>\n<meta property=\"article:published_time\" content=\"2015-07-17T20:22:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg\" \/>\n<meta name=\"author\" content=\"Bob Phillips\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Bob Phillips\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/\"},\"author\":{\"name\":\"Bob Phillips\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#\\\/schema\\\/person\\\/9e94029681ecf36e73bbd1eb2be2ef94\"},\"headline\":\"StatsMiniBlog: Bonferroni Correction\",\"datePublished\":\"2015-07-17T20:22:29+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/\"},\"wordCount\":132,\"commentCount\":1,\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2014\\\/02\\\/20140205-091454.jpg\",\"articleSection\":[\"stats\"],\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/\",\"name\":\"StatsMiniBlog: Bonferroni Correction - ADC Online Blog\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2014\\\/02\\\/20140205-091454.jpg\",\"datePublished\":\"2015-07-17T20:22:29+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#primaryimage\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2014\\\/02\\\/20140205-091454.jpg\",\"contentUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2014\\\/02\\\/20140205-091454.jpg\",\"width\":180,\"height\":76},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2015\\\/07\\\/17\\\/ministatsblog-bonferroni-correction\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"StatsMiniBlog: Bonferroni Correction\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#website\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/\",\"name\":\"ADC Online Blog\",\"description\":\"Education, debate, and meandering thoughts on child health, using evidence and research.\",\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-GB\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#organization\",\"name\":\"ADC Online Blog\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2017\\\/10\\\/blog-logo-adc.png\",\"contentUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2017\\\/10\\\/blog-logo-adc.png\",\"width\":285,\"height\":34,\"caption\":\"ADC Online Blog\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#\\\/schema\\\/logo\\\/image\\\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#\\\/schema\\\/person\\\/9e94029681ecf36e73bbd1eb2be2ef94\",\"name\":\"Bob Phillips\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/9ce6165c429dd8d36e6532db799ebe58e6f9c614c44e05e60d553e4bac662441?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/9ce6165c429dd8d36e6532db799ebe58e6f9c614c44e05e60d553e4bac662441?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/9ce6165c429dd8d36e6532db799ebe58e6f9c614c44e05e60d553e4bac662441?s=96&d=mm&r=g\",\"caption\":\"Bob Phillips\"},\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/author\\\/bphillips\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"StatsMiniBlog: Bonferroni Correction - ADC Online Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/","og_locale":"en_GB","og_type":"article","og_title":"StatsMiniBlog: Bonferroni Correction - ADC Online Blog","og_description":"The Bonferroni Correction is the simplest, the most understandable, and the most extreme way of correcting for multiple statistical tests. You take your ‘significance’ level and divide by the number of tests you are doing. So\u00a0if you have set ‘significance’ at 0.05, and do 5 different statistical tests, to be actually sure that your “rejection [...]Read More...","og_url":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/","og_site_name":"ADC Online Blog","article_published_time":"2015-07-17T20:22:29+00:00","og_image":[{"url":"https:\/\/blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg","type":"","width":"","height":""}],"author":"Bob Phillips","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Bob Phillips","Estimated reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#article","isPartOf":{"@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/"},"author":{"name":"Bob Phillips","@id":"https:\/\/blogs.bmj.com\/adc\/#\/schema\/person\/9e94029681ecf36e73bbd1eb2be2ef94"},"headline":"StatsMiniBlog: Bonferroni Correction","datePublished":"2015-07-17T20:22:29+00:00","mainEntityOfPage":{"@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/"},"wordCount":132,"commentCount":1,"publisher":{"@id":"https:\/\/blogs.bmj.com\/adc\/#organization"},"image":{"@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#primaryimage"},"thumbnailUrl":"https:\/\/blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg","articleSection":["stats"],"inLanguage":"en-GB","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/","url":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/","name":"StatsMiniBlog: Bonferroni Correction - ADC Online Blog","isPartOf":{"@id":"https:\/\/blogs.bmj.com\/adc\/#website"},"primaryImageOfPage":{"@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#primaryimage"},"image":{"@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#primaryimage"},"thumbnailUrl":"https:\/\/blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg","datePublished":"2015-07-17T20:22:29+00:00","breadcrumb":{"@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/"]}]},{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#primaryimage","url":"https:\/\/blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg","contentUrl":"https:\/\/blogs.bmj.com\/adc\/files\/2014\/02\/20140205-091454.jpg","width":180,"height":76},{"@type":"BreadcrumbList","@id":"https:\/\/blogs.bmj.com\/adc\/2015\/07\/17\/ministatsblog-bonferroni-correction\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/blogs.bmj.com\/adc\/"},{"@type":"ListItem","position":2,"name":"StatsMiniBlog: Bonferroni Correction"}]},{"@type":"WebSite","@id":"https:\/\/blogs.bmj.com\/adc\/#website","url":"https:\/\/blogs.bmj.com\/adc\/","name":"ADC Online Blog","description":"Education, debate, and meandering thoughts on child health, using evidence and research.","publisher":{"@id":"https:\/\/blogs.bmj.com\/adc\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/blogs.bmj.com\/adc\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"},{"@type":"Organization","@id":"https:\/\/blogs.bmj.com\/adc\/#organization","name":"ADC Online Blog","url":"https:\/\/blogs.bmj.com\/adc\/","logo":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/blogs.bmj.com\/adc\/#\/schema\/logo\/image\/","url":"https:\/\/blogs.bmj.com\/adc\/files\/2017\/10\/blog-logo-adc.png","contentUrl":"https:\/\/blogs.bmj.com\/adc\/files\/2017\/10\/blog-logo-adc.png","width":285,"height":34,"caption":"ADC Online Blog"},"image":{"@id":"https:\/\/blogs.bmj.com\/adc\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/blogs.bmj.com\/adc\/#\/schema\/person\/9e94029681ecf36e73bbd1eb2be2ef94","name":"Bob Phillips","image":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/secure.gravatar.com\/avatar\/9ce6165c429dd8d36e6532db799ebe58e6f9c614c44e05e60d553e4bac662441?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/9ce6165c429dd8d36e6532db799ebe58e6f9c614c44e05e60d553e4bac662441?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/9ce6165c429dd8d36e6532db799ebe58e6f9c614c44e05e60d553e4bac662441?s=96&d=mm&r=g","caption":"Bob Phillips"},"url":"https:\/\/blogs.bmj.com\/adc\/author\/bphillips\/"}]}},"_links":{"self":[{"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/posts\/1134","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/comments?post=1134"}],"version-history":[{"count":0,"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/posts\/1134\/revisions"}],"wp:attachment":[{"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/media?parent=1134"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/categories?post=1134"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.bmj.com\/adc\/wp-json\/wp\/v2\/tags?post=1134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}