Archive by Author

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 […]

Self-affirmation and goalscoring models

Bittner E., Nussbaumer A., Janke W. and Weigel M., "Self-affirmation model for football goal distributions", Europhysics Letters, 78 (2007), 58002. [PDF]Does scoring a goal in a football match improve the probability of scoring another one?  In this paper the authors augment a statistical model with a feedback term called "self-affirmation" that reflects the (de)motivation of […]

National team rankings using paired comparison models

S. E. Hallinan, "Paired comparison models for ranking national soccer teams", M.S. Thesis, Department of Mathematical Sciences, Worcester Polytechnic Institute, 2005. [PDF]This thesis extends a Bradley-Terry statistical model to accommodate for drawn results, home advantage, and neutral site matches and applies it to international results over the last ten years in order to develop an […]