{"id":884,"date":"2014-03-09T20:35:06","date_gmt":"2014-03-09T19:35:06","guid":{"rendered":"https:\/\/blogs.bmj.com\/adc\/?p=884"},"modified":"2014-03-12T16:44:10","modified_gmt":"2014-03-12T15:44:10","slug":"sensitivity-and-specificity","status":"publish","type":"post","link":"https:\/\/blogs.bmj.com\/adc\/2014\/03\/09\/sensitivity-and-specificity\/","title":{"rendered":"Sensitivity and specificity"},"content":{"rendered":"<p><a href=\"https:\/\/blogs.bmj.com\/adc\/files\/2014\/03\/20140303-213332.jpg\"><img decoding=\"async\" src=\"https:\/\/blogs.bmj.com\/adc\/files\/2014\/03\/20140303-213332.jpg\" alt=\"20140303-213332.jpg\" class=\"alignnone size-full\" \/><\/a><\/p>\n<p>Sensitivity and specificity are those sorts of things that can really get knickers twisted up something rotten. They sound like something you should be able to understand, they get used as if you understand them, and then you realise &#8230; it&#8217;s not quite as you thought &#8230; <\/p>\n<table style=\"border-collapse:collapse\" border=\"0\">\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<tbody valign=\"top\">\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Really diseased\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Really not diseased\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Test +ve\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>A\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>B\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>1.. A\/(A+B)\u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Test -ve\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>C\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>D\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>2.. C\/(C+D)\u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>3&#8230; A\/(A+C)\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>4&#8230; D\/(B+D)\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n\u00a0<\/p>\n<p>Looking at the Table above \u2013 which of 1.. to 4.. is sensitivity?\n<\/p>\n<a name=\"pd_a_7846765\"><\/a>\n<div class=\"CSS_Poll PDS_Poll\" id=\"PDI_container7846765\" style=\"display:inline-block;\"><\/div>\n<div id=\"PD_superContainer\"><\/div>\n<script type=\"text\/javascript\" charset=\"UTF-8\" src=\"https:\/\/static.polldaddy.com\/p\/7846765.js\"><\/script>\n<noscript><a href=\"https:\/\/poll.fm\/7846765\">Take Our Poll<\/a><\/noscript>\n<p>And what does sensitivity tell us?\n<\/p>\n<p><!--more--><\/p>\n<p>You see, I reckon it&#8217;s because we think of them as properties of test results, rather than properties of diseased\/undiseased populations that gets us confused. The sensitivity of a test is <em>the proportion of diseased individuals correctly identified as diseased<\/em> and the specificity <em>the proportion of undiseased individuals correctly identified as undiseased<\/em>. (It goes &#8216;down&#8217; the columns.)\n<\/p>\n<p>What we tend to want to know in practice is &#8220;If I have a +ve test result, what proportion of those folk actually have the disease?&#8221; or something similar for negative tests. (Now, those are different metrics, and more next time &#8217;cause there are greater confusions.)\n<\/p>\n<p>With two small exceptions, sensitivity and specificity can&#8217;t tell you that.\n<\/p>\n<p>The exceptions are:\n<\/p>\n<p>\n\u00a0<\/p>\n<p>VERY high (perfect?) sensitivity<\/p>\n<table style=\"border-collapse:collapse\" border=\"0\">\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<tbody valign=\"top\">\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Really diseased\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Really not diseased\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Test +ve\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>10\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>50\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>10\/60\u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Test -ve\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>0\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>50\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>0\/50\u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Sn = 100%\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Sp = 50%\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n\u00a0<\/p>\n<p>For very high SeNsitivity, a Negative test result rules OUT the diagnosis \u2013 SnNOut\n<\/p>\n<p>\n\u00a0<\/p>\n<p>VERY high (perfect?) specificity<\/p>\n<table style=\"border-collapse:collapse\" border=\"0\">\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<col style=\"width:154px\" \/>\n<tbody valign=\"top\">\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Really diseased\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Really not diseased\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  solid 0.5pt;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Test +ve\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>5\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>0\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>5\/5\u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Test -ve\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>5\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>100\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>5\/105\u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  solid 0.5pt;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Sn = 50%\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\n<p>Sp = 100%\u00a0<\/p>\n<\/td>\n<td style=\"padding-left: 7px;padding-right: 7px;border-top:  none;border-left:  none;border-bottom:  solid 0.5pt;border-right:  solid 0.5pt\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n\u00a0<\/p>\n<p>For very high SPecificity, a Positive test rules IN the diagnosis  &#8211; SpPIN\n<\/p>\n<p>\n\u00a0<\/p>\n<p>For all other things, you need something a bit more complicated &#8230;\n<\/p>\n<ul>\n<li>Archi\n<\/li>\n<\/ul>\n<p>\n\u00a0<\/p>\n<p>\n\u00a0<\/p>\n<\/p>\n<p><!--TrendMD v2.4.8--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sensitivity and specificity are those sorts of things that can really get knickers twisted up something rotten. They sound like something you should be able to understand, they get used as if you understand them, and then you realise &#8230; it&#8217;s not quite as you thought &#8230; \u00a0 Really diseased\u00a0 Really not diseased\u00a0 \u00a0 Test [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/blogs.bmj.com\/adc\/2014\/03\/09\/sensitivity-and-specificity\/\">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":[81,2676],"tags":[],"class_list":["post-884","post","type-post","status-publish","format-standard","hentry","category-diagnostics","category-stats"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Sensitivity and specificity - 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\/03\/09\/sensitivity-and-specificity\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sensitivity and specificity - ADC Online Blog\" \/>\n<meta property=\"og:description\" content=\"Sensitivity and specificity are those sorts of things that can really get knickers twisted up something rotten. They sound like something you should be able to understand, they get used as if you understand them, and then you realise &#8230; it&#8217;s not quite as you thought &#8230; \u00a0 Really diseased\u00a0 Really not diseased\u00a0 \u00a0 Test [...]Read More...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.bmj.com\/adc\/2014\/03\/09\/sensitivity-and-specificity\/\" \/>\n<meta property=\"og:site_name\" content=\"ADC Online Blog\" \/>\n<meta property=\"article:published_time\" content=\"2014-03-09T19:35:06+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2014-03-12T15:44:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.bmj.com\/adc\/files\/2014\/03\/20140303-213332.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\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/\"},\"author\":{\"name\":\"Bob Phillips\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#\\\/schema\\\/person\\\/9e94029681ecf36e73bbd1eb2be2ef94\"},\"headline\":\"Sensitivity and specificity\",\"datePublished\":\"2014-03-09T19:35:06+00:00\",\"dateModified\":\"2014-03-12T15:44:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/\"},\"wordCount\":280,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/files\\\/2014\\\/03\\\/20140303-213332.jpg\",\"articleSection\":[\"diagnostics\",\"stats\"],\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/\",\"url\":\"https:\\\/\\\/blogs.bmj.com\\\/adc\\\/2014\\\/03\\\/09\\\/sensitivity-and-specificity\\\/\",\"name\":\"Sensitivity and specificity - 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