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

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.