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A Note on Moran’s Measure of Multiple Rank Correlation

Published online by Cambridge University Press:  01 January 2025

Philip Bobko
Philip Bobko*
Affiliation:
University of Maryland
*
Requests for reprints should be sent to Dr. Philip Bobko, Department of Psychology, University of Maryland, College Park, Maryland 20742.
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Abstract

A measure of multiple rank correlation, Ty.122, is proposed for the situation with no tied observations in the variables. The measure is a weighted average of two squared Kendall taus. It is shown that Ty.122 is equivalent to a statistic previously proposed by Moran and thus a new interpretation is given to Moran’s statistic.

Keywords

non-parametric multiple correlationKendall’s tau
Type
Notes And Comments
Information
Psychometrika , Volume 42 , Issue 2 , June 1977 , pp. 311 - 314
Copyright
Copyright © 1977 The Psychometric Society

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Footnotes

The author wishes to thank Nancy Anderson, Willard Larkin, and Kent Norman for their helpful comments.

References

Reference Notes

Agresti, A. Coefficients of multiple association for ranked data, 1976, Gainesville, Florida: University of Florida.Google Scholar
Bobko, P. On two new measures of multiple rank correlation. Unpublished doctoral dissertation, Cornell University, 1976.Google Scholar
Theil, H. Personal communication. October 23, 1974.Google Scholar

References

Anderson, T. W. An introduction to multivariate statistical analysis, 1958, New York: John Wiley & Sons, Inc..Google Scholar
Kendall, M. G. Rank correlation methods, 1963, London: Charles Griffin and Company, Limited.Google Scholar
Moran, P. A. P. Partial and multiple rank correlation. Biometrika, 1951, 38, 26–32.CrossRefGoogle ScholarPubMed
Theil, H. A method of multiple rank correlation. Annals of Mathematical Statistics, 1956, 27, 551–551.Google Scholar