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  Advances and Applications in Statistics  
 ISSN: 0972-3617
 
 
 

     Advances and Applications in Statistics
    Volume 10, Issue 1, Pages 15 - 24 (October 2008)


A NEW MULTIVARIATE MEASURE OF ASSOCIATION FOR NOMINAL INDEPENDENT VARIABLE

Yonghwan Um (Korea)

Received April 23, 2008

References:



[1] K. J. Berry and P. W. Mielke, Jr., A generalization of Cohen’s kappa agreement measure to interval measurement and multiple raters, Educ. Psychol. Meas. 48 (1988), 921-933.

[2] K. J. Berry and P. W. Mielke, Jr., A family of multivariate measures of association for nominal independent variables, Educ. Psychol. Meas. 52 (1992), 41-55.

[3] K. S. Crittenden and A. C. Montgomery, A system of paired asymmetric measures of association for use with ordinal dependent variables, Social Forces 58 (1980), 1178-1194.

[4] E. E. Cureton, Rank-biserial correlation, Psychometrika 21 (1956), 287-290.

[5] E. E. Cureton, Rank-biserial correlation when ties are present, Educ. Psychol. Meas. 28 (1968), 77-79.

[6] L. C. Freeman, Elementary Applied Statistics, Wiley, New York, 1965.

[7] Hanna Oja, Descriptive statistics for multivariate distributions, Statist. Probab. Lett. 1 (1983), 327-332.

[8] Yonghwan Um, A new generalization of Cohen’s kappa to multivariate interval data and several observers, Adv. & Appl. in Stat. 5(2) (2005), 159-169.

Keywords and phrases: measure of association, volume of simplex, affine invariant.

 


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