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  Advances and Applications in Statistics  
 ISSN: 0972-3617
 
 
 

     Advances and Applications in Statistics
    Volume 8, Issue 2, Pages 209 - 218 (April 2008)


DECOMPOSITION OF INDEPENDENCE MODEL AND SEPARABILITY OF ITS TEST STATISTIC FOR TWO-WAY CONTINGENCY TABLES WITH ORDERED CATEGORIES

Sadao Tomizawa (Japan), Nobuko Miyamoto (Japan) and Masaya Sakurai (Japan)

Received September 10, 2007

References:



[1] A. Agresti, A survey of strategies for modeling cross-classifications having ordinal variables, J. Amer. Statist. Assoc. 78 (1983), 184-198.

[2] A. Agresti, Analysis of Ordinal Categorical Data, Wiley, New York, 1984.

[3] J. Aitchison, Large-sample restricted parametric tests, J. R. Statist. Soc. Ser. B 24 (1962), 234-250.

[4] S. E. Fienberg, The Analysis of Cross-classified Categorical Data, 2nd ed., The MIT press, Cambridge, 1980.

[5] L. A. Goodman, Simple models for the analysis of association in cross-classifications having ordered categories, J. Amer. Statist. Assoc. 74 (1979), 537-552.

[6] L. A. Goodman and W. H. Kruskal, Measures of association for cross classifications, J. Amer. Statist. Assoc. 49 (1954), 732-764.

[7] S. J. Haberman, Analysis of Qualitative Data, Vol. 2, Academic Press, New York, 1979.

[8] M. G. Kendall, The treatment of ties in ranking problems, Biometrika 33 (1945), 239-251.

[9] M. Kendall and J. D. Gibbons, Rank Correlation Methods, 5th ed., Edward Arnold, London, 1990.

[10] C. R. Rao, Linear Statistical Inference and its Applications, 2nd ed., Wiley, New York, 1973.

Keywords and phrases: concordance, correlation, covariance, decomposition, Gamma measure, independence, separability, uniform association.

 


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