Tag Archives: Pythagorean

Introducing pairwise Pythagorean expectations

Jay Heumann, “An improvement to the baseball statistic ‘Pythagorean Wins’”, Journal of Sports Analytics, 2(1): 49-59, 2016. [PDF]Abstract: This paper introduces a new version to the commonly used “Pythagorean wins” statistic, which improves on the traditional method by means of mathematical adjustment.  The new statistic is called the “pairwise” Pythagorean wins, and it is demonstrated, […]

Goal distributions in the 2008-09 English Premier League

I'm using the 2008-09 English Premier League as a test case of the three-parameter Weibull distribution that is the basis of the Pythagorean formula.  Below I present the exponent values that I obtained from the least-squares estimation, as well as a few plots that show how the resulting Weibull distribution fit to the score data. […]