Generalized Exponential Symmetry Model and Orthogonal Decomposition of Symmetry for Square Tables

摘要: For the analysis of square contingency tables with ordered categories, some models that log odds for two symmetric cell probabilities is a linear function row and column values have been considered. This paper proposes generalization these models. also model weighted sum probability an observation will fall in one cells upper right triangle table equal to it falls lower left table. In addition, this gives theorem symmetry equivalent both proposed holding simultaneously. Moreover, shows likelihood ratio statistic testing goodness-of-fit asymptotically those Examples are given.