Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories

Kiyotaka Iki; Akira Shibuya; Sadao Tomizawa

doi:10.4236/ojs.2015.54028

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Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories

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DOI: 10.4236/ojs.2015.54028 2,181 Downloads 2,541 Views

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Kiyotaka Iki, Akira Shibuya, Sadao Tomizawa

Affiliation(s)

Department of Information Sciences, Tokyo University of Science, Noda, Japan.

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.

KEYWORDS

Diagonal Exponent Symmetry, Ordinal Category, Orthogonal Decomposition, Quasi-Symmetry, Square Contingency Table

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Iki, K. , Shibuya, A. and Tomizawa, S. (2015) Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories. Open Journal of Statistics, 5, 262-272. doi: 10.4236/ojs.2015.54028.

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