To analyze multivariate outcomes in clinical trials, several authors have suggested generalizations of the univariate Mann–Whitney test. As statistic compares subjects’ outcome pairwise, are known as generalized pairwise comparisons (GPC) statistics. For GPC statistics such net treatment benefit, win ratio, and odds, asymptotic based or re-sampling tests been literature. However, methods requir...

The seminal Bradley-Terry model exhibits transitivity, i.e., the property that probabilities of player A beating B and C give probability C, with these determined by a skill parameter for each player. Such transitive models do not account different strategies play between pair players, which gives rise to {\it intransitivity}. Various intransitive parametric have been proposed but they lack fle...