The moment-corrected phi-divergence test statistics for symmetry

Abstract

In this paper we consider the family of phi-divergence test statistics, T-n(phi,S), for the problem of symmetry in I x I contingency tables whose asymptotic distribution is chi-square with I (I - 1)/2 degrees of freedom and we propose a moment-corrected phi-divergence test statistic in order to improve the accuracy of the chi-square approximation of the distribution of T,T-n(phi,S) under the hypothesis of symmetry.