Model-related factor score predictors for confirmatory factor analysis.
The present paper introduces model-related (MR) factor score predictors, which reflect specific aspects of confirmatory factor models. The development is mainly based on Schönemann and Steiger's regression score components, but it can also be applied to the factor score coefficients. It is shown that the rotation of factor score predictors has no impact on the covariance matrix reproduced from the corresponding regression component patterns. Thus, regression score components or factor score coefficients can be rotated in order to obtain the required properties. This idea is the basis for MR factor score predictors, which are computed by means of a partial Procrustes rotation towards a target pattern representing the interesting properties of a confirmatory factor model. Two examples demonstrate the construction of MR factor score predictors reflecting specific constraints of a factor model.
Beauducel
André
A
Helmut-Schmidt-University, University of the Federal Armed Forces Hamburg, Hamburg, Germany. beauduce@hsu-hh.de
Rabe
Sirko
S
D000293:Adolescent; D000328:Adult; D000704:Analysis of Variance; D003661:Decision Support Techniques; D005163:Factor Analysis, Statistical; D005260:Female; D006801:Humans; D007361:Intelligence Tests / Q000706:statistics & numerical data*; D008297:Male; D008432:Mathematical Computing; D008875:Middle Aged; D015233:Models, Statistical; D011340:Problem Solving; D011594:Psychometrics / Q000706:statistics & numerical data*; D012044:Regression Analysis; D012570:School Admission Criteria / Q000706:statistics & numerical data; D055815:Young Adult