Association models and the bivariate normal for contingency tables with ordered categories

Biometrika ◽  
1981 ◽  
Vol 68 (2) ◽  
pp. 347-355 ◽  
Author(s):  
LEO A. GOODMAN
Keyword(s):  
Contingency Tables ◽  
Ordered Categories ◽  
Association Models ◽  
Bivariate Normal

A Decomposition of the Marginal Homogeneity Model for Square Contingency Tables with Ordered Categories

1993 ◽  
Vol 43 (1-2) ◽  
pp. 123-126 ◽  
Author(s):  
Sadao Tomizawa
Keyword(s):  
Contingency Tables ◽  
Short Note ◽  
Monotonic Function ◽  
Ordered Categories ◽  
Marginal Homogeneity ◽  
Statist Assoc

For square contingency tables, with ordered categories, this short note decomposes the marginal homogeneity (MH) model into an extended MH model and the model of equality of expectation of monotonic function of row and column variables. This decomposition is a generalization of the decomposition of the MH model which was earlier considered by Tomizawa (1991, Cal. Statist. Assoc. Bull., 41, 201-207).

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