{"id":523,"date":"2010-10-04T19:40:49","date_gmt":"2010-10-04T17:40:49","guid":{"rendered":"http:\/\/www.theusrus.de\/blog\/?p=523"},"modified":"2010-10-04T19:39:59","modified_gmt":"2010-10-04T17:39:59","slug":"the-pechstein-case","status":"publish","type":"post","link":"https:\/\/www.theusrus.de\/blog\/the-pechstein-case\/","title":{"rendered":"Finding Outliers in Outliers?"},"content":{"rendered":"<p>Presenting at the <a href=\"http:\/\/sac.kncv.nl\/annual-symposium-on-chemometrics.9236.lynkx\" target=\"_blank\">Dutch Chemometrics Society annual meeting<\/a> late May this year, I heard a talk of <a href=\"http:\/\/www.playthegame.org\/knowledge-bank\/author-profile\/klaas-faber.html\" target=\"_blank\">Klaas Faber<\/a> on the &#8220;Athletes Biological Passport&#8221; &#8211; especially targeting the Pechstein case. Now that the Swiss court finally <a href=\"http:\/\/www.jensweinreich.de\/2010\/10\/01\/bundesgericht-weist-pechsteins-revisionsgesuch-ab\/\" target=\"_blank\">confirms<\/a> the ruling, things popped up again. Faber, being the expert of Pechstein,\u00a0<a href=\"http:\/\/www.jensweinreich.de\/2009\/12\/01\/der-cas-im-fall-pechstein-abuse-of-science-bordering-to-fraud\/\" target=\"_blank\">talks<\/a> about &#8220;torture the data until they confess&#8221;.<\/p>\n<p>Regardless of Pechstein being guilty or not, there are some problems with the passport from the statistical point of view.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" title=\"One of Klaas Faber's Slides\" src=\"http:\/\/www.theusRus.de\/Blog-files\/Pechstein.png\" alt=\"\" width=\"546\" height=\"391\" \/>The two major problems with the passport which I remember from Faber&#8217;s talk are:<\/p>\n<ol>\n<li>The sample from which the confidence intervals are created is based on ordinary people, or at least average sports men. This is certainly due to the fact that we need a large enough sample, but is it representative for the few top athletes &#8211; doped or not?<\/li>\n<li>Assuming the confidence intervals are created for sportsmen who did not use illegal methods to enhance their performance, we a-priori know that we mistakenly will convict x% clean sportsmen given the (100-x)% interval.<\/li>\n<\/ol>\n<p>Not only as a statistician I have a problem with the above mentioned points, as statistics is used to convict someone merely by the fact that he\/she is off the limits with his\/her biological measurements, without any causal connection proven that these values are caused by doping.<\/p>\n<p>Let me finish with a simple example of a sample of a normal distribution of size 100,000 illustrating the dilemma. Plotted in a boxplot, we get the following:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" title=\"Outlier in a perfect normal sample\" src=\"http:\/\/www.theusRus.de\/Blog-files\/outliers.png\" alt=\"\" width=\"498\" height=\"265\" \/><\/p>\n<p>What is marked as &#8220;outlier&#8221; by the boxplot is, for most cases, not any different from the adjacent values at the whiskers. Getting more and more to the fringes, we might find that some values really &#8220;look like&#8221; outliers. For this sample we would &#8220;convict&#8221; 763 cases according to the boxplot definition, although all come from a &#8220;perfect&#8221; normal distribution.<\/p>\n<p>In the end, much seems to be determined by the credibility of the different sports associations. Very much points to a doping case for <a href=\"http:\/\/edition.cnn.com\/2010\/SPORT\/09\/30\/cycling.alberto.contador.banned\/index.html\" target=\"_blank\">Contador<\/a>, but the UCI seems to cover up for him &#8211; the ISU did the opposite for Pechstein.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Presenting at the Dutch Chemometrics Society annual meeting late May this year, I heard a talk of Klaas Faber on the &#8220;Athletes Biological Passport&#8221; &#8211; especially targeting the Pechstein case. Now that the Swiss court finally confirms the ruling, things popped up again. Faber, being the expert of Pechstein,\u00a0talks about &#8220;torture the data until they [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,12],"tags":[],"class_list":["post-523","post","type-post","status-publish","format-standard","hentry","category-general","category-sports"],"_links":{"self":[{"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts\/523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/comments?post=523"}],"version-history":[{"count":15,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts\/523\/revisions"}],"predecessor-version":[{"id":773,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts\/523\/revisions\/773"}],"wp:attachment":[{"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/media?parent=523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/categories?post=523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/tags?post=523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}