TITLE:
Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories
AUTHORS:
Kiyotaka Iki, Akira Shibuya, Sadao Tomizawa
KEYWORDS:
Diagonal Exponent Symmetry, Ordinal Category, Orthogonal Decomposition, Quasi-Symmetry, Square Contingency Table
JOURNAL NAME:
Open Journal of Statistics,
Vol.5 No.4,
June
3,
2015
ABSTRACT: For square contingency tables with ordered categories, this article proposes new models, which are the extension of Tomizawa’s [1] diagonal exponent symmetry model. Also it gives the decomposition of proposed model, and shows the orthogonality of the test statistics for decomposed models. Examples are given and the simulation studies based on the bivariate normal distribution are also given.