Measure of departure from symmetry for the analysis of collapsed square contingency tables with ordered categories

2014 ◽  
Vol 42 (4) ◽  
pp. 866-875 ◽  
Author(s):  
Kouji Yamamoto ◽  
Fumika Shimada ◽  
Sadao Tomizawa
Keyword(s):  
Contingency Tables ◽  
Ordered Categories

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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