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What I’m learning from the Soccer Pythagorean

I've had an opportunity to apply the soccer Pythagorean to various leagues and competitions, and I'm noticing some characteristics of the formula.First of all, the Pythagorean exponent does vary significantly from league to league, and perhaps from season to season in a league, but I haven't checked that out yet.  The exponent does stay between […]

Pythagorean results: 2008-09 English Premier League

I've reached the final step in my effort to test my extended Pythagorean formula, using the 2008-09 English Premier League as a test case.  There was a last-minute snag in my plans, however.  I was looking over my equations one more time, and I decided to re-derive everything from the beginning, which is a good […]

Pythagorean exponents in the 2008-09 English Premier League

A couple of nights ago I presented goal distributions for all twenty teams in the 2008-09 English Premier League season, in an attempt to calculate the exponent that would be used for my expansion of the Pythagorean.  I realized after my calculation that I needed to consider the sum of the squares of both the […]

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. […]

The Soccer Pythagorean document

I completed my Soccer Pythagorean document a couple of days ago, but for some reason I had the hardest time developing a PDF file (I used LyX).  I figured it out tonight and I'm linking it to the site now.  I greatly appreciate your comments.Download PythagDerivationMORE (23 October, 10:50pm): I'm compiling some score data from […]

More on soccer Pythagoreans

A few days ago, I wrote about an email discussion I was having on soccer Pythagoreans.  (Here's some more information on Pythagoreans in general in case you don't know what they are.)  The development of soccer Pythagoreans is an interesting problem, and an open problem in my opinion because the underlying premises of the Pythagorean […]