Balancing scores for simultaneous comparisons of multiple treatments

Criteria based on the TT-treatment’s posterior density, qT(t|x)qT(t|x), provide conclusively   a balancing-sufficient score, ss, and the coarsest, cc, for the treatments indexing the XX-covariates’ unknown   density. Strong ignorability of treatment assignment given ss, allows using ss and cc for simultaneous comparisons of multiple treatments.