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  Far East Journal of Theoretical Statistics  
 ISSN: 0972-0863
 
 
 

     Far East Journal of Theoretical Statistics
    Volume 25, Issue 2, Pages 273 - 283 (July 2008)


DECOMPOSITION OF INDEPENDENCE USING PEARSON, KENDALL AND SPEARMAN’S CORRELATIONS AND ASSOCIATION MODEL FOR TWO-WAY CLASSIFICATIONS

Kouji Tahata (Japan), Nobuko Miyamoto (Japan) and Sadao Tomizawa (Japan)

Received March 10, 2008

References:



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

[2] I. D. J. Bross, How to use ridit analysis, Biometrics 14 (1958), 18-38.

[3] B. S. Everitt, The Analysis of Contingency Tables, Chapman and Hall, London, 1977.

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

[5] J. L. Fleiss, B. Levin and M. C. Paik, Statistical Methods for Rates and Proportions, 3rd ed., Wiley, New York, 2003.

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

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

[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] A. Stuart, Calculation of Spearman’s rho for ordered two-way classifications, Amer. Statist. 17 (1963), 23-24.

[11] S. Tomizawa, N. Miyamoto and M. Sakurai, Decomposition of independence model and separability of its test statistic for two-way contingency tables with ordered categories, Adv. & Appl. in Stat. 8(2) (2008), 209-218.

Keywords and phrases: independence, Kendall’s tau-b, linear-by-linear association, Pearson correlation coefficient, Spearman’s rho, uniform association.

 


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