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Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories
Department of Information Sciences, Tokyo University of Science, Noda, Japan
Department of Information Sciences, Tokyo University of Science, Noda, Japan
Department of Information Sciences, Tokyo University of Science, Noda, Japan
- 1 Department of Information Sciences, Tokyo University of Science, Noda, Japan
- 2 Department of Information Sciences, Tokyo University of Science, Noda, Japan
- 3 Department of Information Sciences, Tokyo University of Science, Noda, Japan
Open Journal of Statistics·Volume 05 (2015)·Pages 262–272·Published 22 May 2015·DOI10.4236/ojs.2015.54028
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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.
KeywordsDiagonal Exponent SymmetryOrdinal CategoryOrthogonal DecompositionQuasi-SymmetrySquare Contingency Table
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