For a 4x4 contingency table, this note gives a simple statistic to test the goodness-of-fit of the generalized palindromic symmetry (GPS) model considered by McCullagh (1978). Also an asymptotic confidence interval for a parameter of interest in the GPS model is given. Two sets of unaided vision data are used as example.
For the analysis of square contingency tables, Caussinus (1965) proposed the quasi-symmetry model and gave the theorem that the symmetry model holds if and only if both the quasi-symmetry and the marginal homogeneity models hold. Bishop, Fienberg and Holland (1975, p.307) pointed out that the similar theorem holds for three-way tables. Bhapkar and Darroch (1990) gave the similar theorem for general multi-way tables. The purpose of this paper is (1) to review some topics on various symmetry models,...
Page 1