{"id":1839,"date":"2014-07-20T11:02:24","date_gmt":"2014-07-20T10:02:24","guid":{"rendered":"http:\/\/www.theusrus.de\/blog\/?p=1839"},"modified":"2014-07-21T06:28:57","modified_gmt":"2014-07-21T05:28:57","slug":"why-nibali-has-only-a-50-chance-to-win-the-tour","status":"publish","type":"post","link":"https:\/\/www.theusrus.de\/blog\/why-nibali-has-only-a-50-chance-to-win-the-tour\/","title":{"rendered":"Why NIBALI has only a 50% chance to win the tour"},"content":{"rendered":"<p>Well, to be honest, I see a far higher chance for him to win the tour, but first let&#8217;s look at the data. Having collected 10 years of Tour de France data, it is time to look at structural features of a whole tour. With a sample size of 10 (yes, still far away from big data &#8230;) we might want to look at the rank of the winner of a tour within the tour.<\/p>\n<p><a href=\"http:\/\/www.theusRus.de\/Blog-files\/TDF-Winner.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/www.theusRus.de\/Blog-files\/TDF-Winner-Small.png\" alt=\"\" width=\"575\" height=\"268\" \/><\/a><\/p>\n<p>The graph shows the empirical probabilities (supported\u00a0by a natural spline smoother of degree 5) for each stage that<\/p>\n<ol>\n<li>the current leader wins the tour<\/li>\n<li>the winner is in the top 3<\/li>\n<li>in the top 5, or<\/li>\n<li>in the top 10<\/li>\n<\/ol>\n<p>From this model we can read off the graph, that the chance to win the tour is 50% if you are the leader after stage 14.<\/p>\n<p>What really surprised me is the fact there is such a big gap between leader and top-3 and a far smaller between top-3 and top-5.<\/p>\n<p>But everyone who knows the basic set-up of a tour knows that the race is decided in the mountains, i.e., the Alps and the Pyrenees, which usually come up between stage 11\u00a0&#8211; 14 and 16 &#8211; 19, depending on the route the Alps first or not. As there is often an individual time trial as the last &#8220;counting&#8221; stage (you might know of the &#8220;non-agression pact&#8221; in the last stage), this time trial might switch the leader for a last time if the gaps are non-bigger than say 3&#8242;-4&#8242;.<\/p>\n<p>So this concludes my personal assessment that NIBALI has a far greater chance to win than 50%, as his lead is almost 5&#8242; now, and if he can maintain his performance in the remaining stages in the Pyrenees (which is still some way to go), he will be this year&#8217;s winner.<\/p>\n<p>I conclude with a parallel box plot for the ranks of the winners of the last 10 years:<\/p>\n<p><a href=\"http:\/\/www.theusRus.de\/Blog-files\/TDF-Winner-Rank.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"http:\/\/www.theusRus.de\/Blog-files\/TDF-Winner-Rank-Small.png\" alt=\"\" width=\"575\" height=\"293\" \/><\/a><\/p>\n<p>(the highlighted winner is LANDIS in 2006, who was found guilty of doping immediately after his phenomenal comeback in stage 17, harming the sport as well as my statistics &#8230;)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Well, to be honest, I see a far higher chance for him to win the tour, but first let&#8217;s look at the data. Having collected 10 years of Tour de France data, it is time to look at structural features of a whole tour. With a sample size of 10 (yes, still far away from [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,12,10],"tags":[],"class_list":["post-1839","post","type-post","status-publish","format-standard","hentry","category-general","category-sports","category-tour-de-france"],"_links":{"self":[{"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts\/1839","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=1839"}],"version-history":[{"count":13,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts\/1839\/revisions"}],"predecessor-version":[{"id":1853,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/posts\/1839\/revisions\/1853"}],"wp:attachment":[{"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/media?parent=1839"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/categories?post=1839"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.theusrus.de\/blog\/wp-json\/wp\/v2\/tags?post=1839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}