Using a GLM to Decompose the Symmetry Model in Square Contingency Tables with Ordered Categories

• Published in: Journal of applied statistics Vol. 31; no. 3; pp. 279 - 303
• Main Author: Lawal, H. Bayo
• Format: Journal Article
• Language: English
• Published: England Taylor & Francis Ltd 01.04.2004; Taylor and Francis Journals
• Series: Journal of Applied Statistics
• Subjects: Data analysis; factor; Generalized linear models; Original; Poisson; Poisson distribution; quasi-diagonal symmetry model; regression; Symmetry; Variables; quasi-diagonal symmetry model; Poisson; factor; regression

In this paper, we are employing the generalized linear model (GLM) in the form ij =Xλ to decompose the symmetry model into the class of models discussed in Tomizawa ( 1992 ). In this formulation, the random component would be the observed counts f ij with an underlying Poisson distribution. This app...