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  Far East Journal of Theoretical Statistics  
 ISSN: 0972-0863
 
 
 

     Far East Journal of Theoretical Statistics
    Volume 24, Issue 2, Pages 201 - 211 (March 2008)


A GENERALIZATION OF CUMULATIVE SYMMETRY MODELS AND ITS DECOMPOSITION FOR SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES

Kouji Yamamoto (Japan) and Sadao Tomizawa (Japan)

Received December 13, 2007

References:



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[9] A. Stuart, A test for homogeneity of the marginal distributions in a two-way classification, Biometrika 42 (1955), 412-416.

[10] S. Tomizawa, Decompositions for 2-ratios-parameter symmetry model in square contingency tables with ordered categories, Biom. J. 29 (1987), 45-55.

[11] S. Tomizawa, Polynomial diagonals-parameter symmetry model for square contingency tables with ordered categories, Statistica 50 (1990), 171-178.

[12] S. Tomizawa, Decompositions of polynomial diagonals-parameter symmetry models for square contingency tables with ordered categories, J. Japan Statist. Soc. 21 (1991), 173-180.

[13] S. Tomizawa, Diagonals-parameter symmetry model for cumulative probabilities in square contingency tables with ordered categories, Biometrics 49 (1993), 883-887.

[14] S. Tomizawa, N. Miyamoto and K. Yamamoto, Decomposition for polynomial cumulative symmetry model in square contingency tables with ordered categories, Metron 64 (2006), 303-314.

[15] S. Tomizawa, N. Miyamoto, K. Yamamoto and A. Sugiyama, Extensions of linear diagonal-parameter symmetry and quasi-symmetry models for cumulative probabilities in square contingency tables, Statist. Neerlandica 61 (2007), 273-283.

Keywords and phrases: cumulative diagonals-parameter symmetry model, decomposition, ordered category, polynomial model, square contingency table.

 


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