{"id":1007,"date":"2016-05-02T00:30:57","date_gmt":"2016-05-02T07:30:57","guid":{"rendered":"http:\/\/perceptionaction.com\/?p=1007"},"modified":"2016-04-01T05:49:24","modified_gmt":"2016-04-01T12:49:24","slug":"pitchentropy","status":"publish","type":"post","link":"https:\/\/perceptionaction.com\/pitchentropy\/","title":{"rendered":"Analysis of Entropy in MLB Pitching"},"content":{"rendered":"

Recommended:<\/em><\/strong> Listen to the Podcast Episode<\/a> that accompanies this analysis<\/p>\n

Goal:<\/strong> To test the following two hypotheses: (i) a pitcher can overcome having a lower fastball velocity by being more unpredictable in the type of pitches they throw (i.e., high entropy) and (ii) pitching success will be significantly related to entropy<\/p>\n

Data sources: <\/em>
\nhttp:\/\/www.baseball-reference.com\/play-index<\/a>
\nhttp:\/\/www.brooksbaseball.net\/<\/a><\/p>\n

Inclusion criteria<\/em>: Pitched 162 innings or more in the 2015 MLB Season<\/p>\n

Data removal: <\/em> R.A. Dickey was removed as an outlier, Entropy (0.3 bits) more than 6 standard deviations below next lowest player<\/p>\n

Formulae:<\/em>
\nFor a pitcher that throws a fastball (FB), curveball (CB), slider (SL) and chaneup (CU):
\nEntropy = -(p<\/em>FB*lnp<\/em>FB + p<\/em>CB*lnp<\/em>CB + p<\/em>SL*lnp<\/em>SL + p<\/em>CU*lnp<\/em>CU <\/strong>
\nwhere<\/em>p<\/em>FB =proportion of fastballs, p<\/em>CB=proportion of curveballs, etc<\/p>\n

Standardized Entropy = Entropy\/ln(Number of Pitch Types)<\/strong><\/p>\n

Fastball x Entropy = FastballV +(Standardized EntropyN<\/em> – Standardized EntropyAVG<\/em>)<\/strong><\/p>\n

Results:<\/strong>
\n1)Entropy vs Fastball velocity<\/em>
\n\"ENTxFB<\/a><\/p>\n

\"NUMP<\/a><\/p>\n

2)Pitching Performance vs Fastball x Entropy<\/em>
\nFielding Independent Pitching (FIP)
\n\"FIP<\/a><\/p>\n

Strikeouts (S)
\n\"SO<\/a><\/p>\n

Walks + Hits \/Innings Pitched (WHIP)
\n\"WHIP<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Recommended: Listen to the Podcast Episode that accompanies this analysis Goal: To test the following two hypotheses: (i) a pitcher can overcome having a lower fastball velocity by being more unpredictable in the type of pitches they throw (i.e., high entropy) and (ii) pitching success will be significantly related to entropy Data sources: http:\/\/www.baseball-reference.com\/play-index http:\/\/www.brooksbaseball.net\/…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-1007","post","type-post","status-publish","format-standard","hentry","category-blogposts"],"_links":{"self":[{"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/posts\/1007","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/comments?post=1007"}],"version-history":[{"count":1,"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/posts\/1007\/revisions"}],"predecessor-version":[{"id":1024,"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/posts\/1007\/revisions\/1024"}],"wp:attachment":[{"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/media?parent=1007"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/categories?post=1007"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/perceptionaction.com\/wp-json\/wp\/v2\/tags?post=1007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}