Decompositions of symmetry using extended palindromic symmetry models for square contingency tables

摘要

For square contingency tables with ordered categories, this paper gives the theorem that the symmetry model holds if and only if the following three models hold: (1) extended palindromic symmetry, (2) equality of marginal moments, and (3) subsymmetry of cumulative probabilities from the upper right and lower left corners of the table.