Open AccessA RELATIVE INTERACTION CRITERION AND ITS USE IN ORTHOGONAL ROTATION
Author(s) -
Balloun Joe L.,
Kearns Jack
Publication year - 1974
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1974.tb00465.x
Subject(s) - maximization , variance (accounting) , rotation (mathematics) , mathematics , simple (philosophy) , type (biology) , statistics , mathematical optimization , geometry , geology , philosophy , accounting , epistemology , business , paleontology
A new criterion for analytic rotation based upon the concept of simple structure is introduced. The rationale for the method stems from a consideration of the way in which the variance of squared factor loadings is partitioned as in an analysis of variance. It is argued that a maximization of the relative amount of squared factor loading variation which is due to the “interaction” of factors and tests should produce results consistent with the simple structure hypothesis. The criterion is applied to orthogonal rotation using a gradient method of maximization.