Some applications of quasisymmetry

Abstract

SUMMARY We give three applications of quasisyrnmetry. The first two applications involve derived conditional distributions in a study involving matched individuals where the parameters associated with the matching are eliminated by appropriate conditioning. Extensions to matched triplets or to larger blocks lead to generalizations of quasisymmetry. The third application involves reversibility of Markov chains where the connexion between reversibility and quasisymmetry is exploited to construct tests for reversibility and tests for homogeneity of several reversible chains.