The effect of individual differences in factor loadings on the standard factor model

Henk Kelderman, Peter C.M. Molenaar

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

It is shown that the population-covariance matrix of a heterogeneous factor model may be indistinguishable from that of a standard factor model and that the standard likelihood-ratio goodness-of-fit statistic has but little power in detecting loading heterogeneity. The relation between loading heterogeneity and factor score reliability is studied and it is recommended that non-normality of the test-score distributions be tested to use factor scores with more confidence. Substantive justifications for the model assumptions and model-based methods to test specific hypotheses about the loading distribution, are discussed.

Original languageEnglish (US)
Pages (from-to)435-456
Number of pages22
JournalMultivariate Behavioral Research
Volume42
Issue number3
DOIs
StatePublished - Jan 1 2007

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Experimental and Cognitive Psychology
  • Arts and Humanities (miscellaneous)

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