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 […]
I've been getting a lot of hits from Germany in the past few days. I don't know if they're all from the same person or not, but welcome and thanks for stopping by! I took a couple of days off after writing about my extended Pythagorean over the past week, but there are some posts […]
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 […]
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 […]
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. […]
This isn't really soccermetrics-related, but it is about me in a technical field, so I'm posting it here.As a few people know, I work as an aerospace engineer in my day job. I'm also an active member of the American Institute of Aeronautics and Astronautics (AIAA), which is the premier professional society in my field. […]
As I said in my last post on my extended Pythagorean formula for soccer, I was in the process of compiling score data for the 2008-09 English Premier League season in order to test this formulation. The first step was to fit the data to a Weibull probability distribution in order to estimate the alpha […]
I've updated my CONCACAF club/league coefficients with data from the now-completed group stage of the 2009-2010 CONCACAF Champions League. My latest spreadsheet can be found below, in OpenOffice and Excel formats.CCL_NatlCoefficients0910_20091024.odsCCL_NatlCoefficients0910_20091024.xls
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 […]
** BUMPED to the top with updates added **I want to give an update on my efforts to derive a Pythagorean (or Pythagorean-like) formula for use in soccer. As I said in other posts, the most challenging part is coming up with the term that captures the probability of a drawn result. This is rather […]
