Decompositions of Sum-Symmetry Model for Ordinal Square Contingency Tables

For ordinal square contingency tables, Yamamoto, Tanaka and Tomizawa (2013) proposed the sum-symmetry model and gave a decomposition of it. The present paper proposes three kinds of extended sum-symmetry models, and gives two another decompositions of the sum-symmetry model using these models. Audiometry data are analyzed.

Keywords: Decomposition, Model, Square Contingency Table, Sum-Symmetry