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An Inequality between the Weighted Average and the Rowwise Correlation Coefficient for Proximity Matrices

Published online by Cambridge University Press:  01 January 2025

Wim P. Krijnen
Wim P. Krijnen*
Affiliation:
University of Groningen
*
Requests for reprints should be sent to Wire P. Krijnen, Faculty of Economics, PO Box 800, 9700 AV Groningen, THE NETHERLANDS.
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Abstract

De Vries (1993) discusses Pearson's product-moment correlation, Spearman's rank correlation, and Kendall's rank-correlation coefficient for assessing the association between the rows of two proximity matrices. For each of these he introduces a weighted average variant and a rowwise variant. In this note it is shown that for all three types, the absolute value of the first variant is greater than or equal to the absolute value of the second.

Keywords

Rowwise matrix correlation coefficients
Type
Notes And Comments
Information
Psychometrika , Volume 59 , Issue 2 , June 1994 , pp. 269 - 270
Copyright
Copyright © 1994 The Psychometric Society

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Footnotes

The author is obliged to Frits E. Zegers for useful comments on an earlier version of this paper.

References

de Vries, H. (1993). The rowwise correlation between two proximity matrices and the partial rowwise correlation. Psychometrika, 58, 53–69.CrossRefGoogle Scholar