{"id":825,"date":"2014-01-15T20:32:20","date_gmt":"2014-01-15T19:32:20","guid":{"rendered":"https:\/\/blogs.bmj.com\/adc\/?p=825"},"modified":"2014-01-19T23:29:59","modified_gmt":"2014-01-19T22:29:59","slug":"statsminiblog-regression","status":"publish","type":"post","link":"https:\/\/blogs.bmj.com\/adc\/2014\/01\/15\/statsminiblog-regression\/","title":{"rendered":"StatsMiniBlog. Regression"},"content":{"rendered":"<p><a href=\"https:\/\/blogs.bmj.com\/adc\/files\/2013\/08\/Image78.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-674\" alt=\"StatsMiniBlog\" src=\"https:\/\/blogs.bmj.com\/adc\/files\/2013\/08\/Image78.gif\" width=\"180\" height=\"76\" \/><\/a>Now, regression is a bad thing if we&#8217;re talking development. It might be any number of really difficult to pronounce neurological conditions, or severe psychological trauma, or abuse\/neglect. It&#8217;s not going to be good.<\/p>\n<p>In statistics, it&#8217;s not quite the same. Regression is quite often a good thing. But what is it?<\/p>\n<p><!--more--><\/p>\n<p>Well, in simple terms it&#8217;s drawing a line between one thing and another &#8211; like shoe size and height.<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" alt=\"\" src=\"http:\/\/www.ciese.org\/ciesemath\/summer2005\/shaq1.jpg\" width=\"383\" height=\"316\" \/><\/p>\n<p style=\"text-align: left\">And then using one to predict the other.<\/p>\n<p style=\"text-align: left\">You can make it more complex by trying to predict if something is happening or not (which must be either &#8216;yes&#8217; &#8211; usually 1 &#8211; or &#8216;no&#8217;- usually 0). This is most often &#8216;<strong>logistic<\/strong> regression&#8217; (but may also be &#8216;probit regression&#8217; for reasons which are beyond this mini-blog), and plots the predictor against the probability of the outcome.<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" alt=\"\" src=\"http:\/\/www.bmj.com\/highwire\/filestream\/428158\/field_highwire_fragment_image_l\/0.jpg\" width=\"390\" height=\"240\" \/><\/p>\n<p style=\"text-align: left\">And sometimes you can see if the relationship is different in different groups (e.g. first class vs. coach class, male vs. female when surviving the titanic).\u00a0This is then <strong>multivariable<\/strong> regression.<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" alt=\"\" src=\"https:\/\/cdn2.content.compendiumblog.com\/uploads\/user\/458939f4-fe08-4dbc-b271-efca0f5a2682\/46889f0e-f0a5-4b4a-8a19-2d2b8dce6087\/Image\/aa9c6eb7f691654f146ac0a69fb0273a\/scatterplot_of_survival_probabilities.jpg\" width=\"360\" height=\"252\" \/><\/p>\n<p style=\"text-align: left\">When you&#8217;re looking at the use of these things we need to interpret them sensibly, and like all stats we need to know that it&#8217;s not just a data trawl and the appropriate assumptions are met (which is a Masters module in itself &#8230;), but you should &#8211; hopefully \u00a0&#8211; be better able to know what&#8217;s going on.<\/p>\n<p style=\"text-align: left\">&#8211; Archi<\/p>\n<p style=\"text-align: left\">ps &#8211; the last graph here is a great example of the discontinuity we mentioned in our post about <a title=\"Before, and after.\" href=\"https:\/\/blogs.bmj.com\/adc\/2013\/09\/17\/before-and-after\/\">before&amp;after studies<\/a><\/p>\n<p><!--TrendMD v2.4.8--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Now, regression is a bad thing if we&#8217;re talking development. It might be any number of really difficult to pronounce neurological conditions, or severe psychological trauma, or abuse\/neglect. It&#8217;s not going to be good. In statistics, it&#8217;s not quite the same. Regression is quite often a good thing. But what is it? [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/blogs.bmj.com\/adc\/2014\/01\/15\/statsminiblog-regression\/\">Read More&#8230;<\/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-825","post","type-post","status-publish","format-standard","hentry","category-stats"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>StatsMiniBlog. Regression - 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\/2014\/01\/15\/statsminiblog-regression\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"StatsMiniBlog. Regression - ADC Online Blog\" \/>\n<meta property=\"og:description\" content=\"Now, regression is a bad thing if we&#8217;re talking development. It might be any number of really difficult to pronounce neurological conditions, or severe psychological trauma, or abuse\/neglect. It&#8217;s not going to be good. In statistics, it&#8217;s not quite the same. Regression is quite often a good thing. But what is it? 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