Likelihood test in permutations with bias. Premier League and La Liga: surprises during the last 25 seasons

Abstract

In this paper, we introduce the models of permutations with bias, which are random permutations of a set, biased by some preference values. We present a new parametric test, together with an efficient way to calculate its p-value. The final tables of the English and Spanish major soccer leagues are tested according to this new procedure, to discover whether these results were aligned with expectations.

Bibliography updated. Thanks to Prof Karlsson to have suggested the paper [8] H. Stern. Models for distributions on permutations. JASA (1990)