{"id":5096,"date":"2015-04-28T11:53:41","date_gmt":"2015-04-28T15:53:41","guid":{"rendered":"http:\/\/www.decisionsciencenews.com\/?p=5096"},"modified":"2015-04-28T13:46:59","modified_gmt":"2015-04-28T17:46:59","slug":"winning-streaks-in-baseball","status":"publish","type":"post","link":"https:\/\/www.decisionsciencenews.com\/?p=5096","title":{"rendered":"Winning streaks in baseball"},"content":{"rendered":"<p>HOW RARE ARE STREAKS?<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2015\/04\/longestStreakPerSeason.s.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5097\" src=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2015\/04\/longestStreakPerSeason.s2.png\" alt=\"longestStreakPerSeason.s\" width=\"485\" height=\"485\" \/><\/a><\/p>\n<p>The New York Mets recently won 11 games in a row, which got a lot of attention.<\/p>\n<p>How likely is it that a given baseball team will win 11 games in a row by chance, if its probability of winning a single game is 50%?<\/p>\n<p>The plot below shows that if a baseball team plays 100 seasons of 162 games, they&#8217;ll have an streak of 11 wins in a row about 7 to 8 times a century (about every 13 years on average). If they&#8217;re a really good team that wins 60% of the time in the long run, they&#8217;ll have an 11 game winning streak 55 times per century (about every 2 years).<\/p>\n<p>Streaks aren&#8217;t weird, they&#8217;re expected. The graph up top shows that for a team that wins 50% of the time, the most likely outcome is that they&#8217;ll have a six game winning streak in a typical 162 game season. There&#8217;s an 8% chance their longest streak in a season will be 10 wins or more.<\/p>\n<p>For the gifted team that wins 60% of the time, an eight game winning streak is the most likely outcome in a season, and there&#8217;s a 32% chance they&#8217;ll have a streak of 10 wins or more.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2015\/04\/StreaksPerCentury.s.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-5098\" src=\"http:\/\/www.decisionsciencenews.com\/wp-content\/uploads\/2015\/04\/StreaksPerCentury.s2.png\" alt=\"StreaksPerCentury.s\" width=\"485\" height=\"485\" \/><\/a><\/p>\n<p>Fans of R and ggplot2 can reproduce the plots with the code below.<\/p>\n<p><script src=\"https:\/\/gist.github.com\/dggoldst\/287f6fd7604332e89c39.js\"><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>How rare are winning streaks in baseball?<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[4,16,74],"tags":[81,1120,52,975,107,208,60,63,1117,86,1208,59,1119,1118,385,887,942],"class_list":["post-5096","post","type-post","status-publish","format-standard","hentry","category-encyclopedia","category-ideas","category-r","tag-baseball","tag-century","tag-decision","tag-dplyr","tag-ggplot2","tag-goldstein","tag-news","tag-odds","tag-percentage","tag-probability","tag-r","tag-science","tag-season","tag-streak","tag-streaks","tag-team","tag-winning"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4LKj-1kc","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/5096","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5096"}],"version-history":[{"count":9,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/5096\/revisions"}],"predecessor-version":[{"id":5109,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=\/wp\/v2\/posts\/5096\/revisions\/5109"}],"wp:attachment":[{"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5096"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5096"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.decisionsciencenews.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5096"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}