Kodo Keiryogaku (The Japanese Journal of Behaviormetrics)
Online ISSN : 1880-4705
Print ISSN : 0385-5481
ISSN-L : 0385-5481
Notes
Multivariate Angular Analysis of Correlation Matrices
Kohei ADACHI
Author information
JOURNALS FREE ACCESS

2007 Volume 34 Issue 2 Pages 147-154

Details
Abstract

Angular analysis (ANA) of correlation matrices is proposed in which variables are represented as vectors in a low-dimensional space and inter-variable correlation coefficients are approximated only by the cosines of the angles between variable vectors. ANA can be viewed as a method which approximates correlation coefficients with least parameters and as a constrained version of principal component analysis (PCA). Solutions of ANA are obtained with an alternate least squares procedure in which an algorithm for oblique Procrustes rotation is used. The performance of the procedure is assessed in a simulation study. ANA is compared theoretically and empirically with PCA.

Information related to the author
© 2007 The Behaviormetric Society
Previous article Next article
feedback
Top