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Generalizations of the Partial, Part and Bipartial Canonical Correlation Analysis

Published online by Cambridge University Press:  01 January 2025

Sik-Yum Lee*
Affiliation:
The Chinese University of Hong Kong
*
Requests for reprint should be sent to Sik-Yum Lee, Department of Mathematics, University Science Center, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong.

Abstract

The g1- and g2- bipartial canonical correlation analyses are developed as generalizations of the partial, part, and bipartial canonical correlation analysis. Illustrative examples are provided.

Type
Notes And Comments
Copyright
Copyright © 1978 The Psychometric Society

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References

Bartlett, M. S. Further aspects of the theory of multiple regression. Proceedings of the Cambridge Philosophical Society, 1938, 34, 3340.CrossRefGoogle Scholar
Heck, D. L. Charts of some upper percentage points of the distribution of the largest characteristic root. Annals of Mathematical Statistics, 1960, 31, 625642.CrossRefGoogle Scholar
Hotelling, H. The most predictable criterion. Journal of Educational Psychology, 1935, 26, 139142.CrossRefGoogle Scholar
Hotelling, H. Relations between two sets of variates. Biometrika, 1936, 28, 321377.CrossRefGoogle Scholar
Rao, B. R. Partial canonical correlations. Trabajso de Estadistica y de Investigacion operative, 1969, 20, 211219.CrossRefGoogle Scholar
Roy, S. N. On a heuristic method of test construction and its use in multivariate analysis. Annals of Mathematical Statistics, 1953, 24, 220238.CrossRefGoogle Scholar
Timm, N. H., & Carlson, J. E. Part and bipartial canonical correlation analysis. Psychometrika, 1976, 41, 159176.CrossRefGoogle Scholar