Measures of Departure from Marginal Homogeneity for Contingency Tables with Nominal Categories

1995 ◽  
Vol 44 (4) ◽  
pp. 425 ◽  
Author(s):  
Sadao Tomizawa
Keyword(s):  
Contingency Tables ◽  
Marginal Homogeneity ◽  
Nominal 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).

scholarly journals Two-Dimensional Measure Vector of Departure from Marginal Homogeneity in Square Contingency Tables

2019 ◽  
Vol 4 (3) ◽  
Author(s):  
Shuji Ando ◽  
◽  
Takashi Takeuchi ◽  
Kiyotaka Iki ◽  
Sadao Tomizawa ◽  
...  
Keyword(s):  
Contingency Tables ◽  
Two Dimensional ◽  
Marginal Homogeneity ◽  
Dimensional Measure

Decomposition of Bivariate Symmetric Density Function

1996 ◽  
Vol 46 (1-2) ◽  
pp. 129-134
Author(s):  
Takashi Sadao Tomizawa Seo ◽  
Jun-Ichiro Minaguchi
Keyword(s):  
Density Function ◽  
Contingency Tables ◽  
Marginal Homogeneity ◽  
Symmetric Density ◽  
Symmetry Model ◽  
Bivariate Density

For the analysis of square contingency tables, it is known that the symmetry model holds if and only if both the quasi-symmetry and the marginal homogeneity models hold (Caussinus, 1965; Bishop et al., 1975, p. 287). This paper shows that a similar decomposition for bivariate density function (instead of cell probabilities) holds.

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