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Quadratic Prediction of Factor Scores

Published online by Cambridge University Press:  01 January 2025

Erik Meijer  and
Tom Wansbeek
Erik Meijer*
Affiliation:
Department of Econometrics, University of Groningen
Tom Wansbeek
Affiliation:
Department of Econometrics, University of Groningen
*
Requests for reprints should be sent to Erik Meijer, University of Groningen, Department of Econometrics, P.O. Box 800, 9700 AV Groningen, THE NETHERLANDS. E-mail: e.meijer@eco.rug.nl
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Abstract

Factor scores are naturally predicted by means of their conditional expectation given the indicators y. Under normality this expectation is linear in y but in general it is an unknown function of y. It is discussed that under nonnormality factor scores can be more precisely predicted by a quadratic function of y.

Keywords

factor scoresnonnormalityefficiency
Type
Report
Information
Psychometrika , Volume 64 , Issue 4 , December 1999 , pp. 495 - 507
Copyright
Copyright © 1999 The Psychometric Society

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Footnotes

The authors would like to thank Edith Nijenhuis, the anonymous referees, and the associate editor for their helpful comments and suggestions.

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