THE KAISER, HUNKA AND BIANCHINI FACTOR SIMILARITY COEFFICIENTS - A CAUTIONARY NOTE

Authors
Citation
Jmf. Tenberge, THE KAISER, HUNKA AND BIANCHINI FACTOR SIMILARITY COEFFICIENTS - A CAUTIONARY NOTE, Multivariate behavioral research, 31(1), 1996, pp. 1-6
Citations number
20
Categorie Soggetti
Social Sciences, Mathematical Methods","Psychologym Experimental","Statistic & Probability","Mathematical, Methods, Social Sciences
ISSN journal
00273171
Volume
31
Issue
1
Year of publication
1996
Pages
1 - 6
Database
ISI
SICI code
0027-3171(1996)31:1<1:TKHABF>2.0.ZU;2-A
Abstract
Kaiser, Hunka and Bianchini (1971) have given a method to compare two matrices of factor loadings based on the same variables, but different groups of individuals. They suggest expressing the factor similarity by the elements of the rotation matrix that optimizes the sum of inner products between corresponding columns or rows of the matrices. The o ptimal rotation involved in this method is examined from a mathematica l point of view and, on the basis of this, the method is shown to be i nvalid.