Implications of indeterminate factor-error covariances for factor construction, prediction, and determinacy

Onderzoeksoutput: ArticleAcademicpeer review

Uittreksel

The assumptions of the model for factor analysis do not exclude a class of indeterminate covariances between factors and error variables (Grayson, 2003). The construction of all factors of the model for factor analysis is generalized to incorporate indeterminate factor-error covariances. A necessary and sufficient condition is given for indeterminate factor-error covariances to be arbitrarily small, for mean square convergence of the regression predictor of factor scores, and for the existence of a unique determinate factor and error variable. The determinate factor and error variable are uncorrelated and satisfy the defining assumptions of factor analysis. Several examples are given to illustrate the results.
Originele taal-2English
Pagina's (van-tot)503-519
TijdschriftPsychometrika. Vol 67(1)
Volume71
Nummer van het tijdschrift3
DOI's
StatusPublished - sep 2006

Vingerafdruk

Determinacy
Statistical Factor Analysis
Factor analysis
Prediction
Factor Analysis
Mean-square Convergence
Predictors
Regression
Necessary Conditions
Sufficient Conditions
Model

Keywords

  • factoranalyse
  • statistiek

Citeer dit

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Implications of indeterminate factor-error covariances for factor construction, prediction, and determinacy. / Krijnen, Wim P.

In: Psychometrika. Vol 67(1), Vol. 71, Nr. 3, 09.2006, blz. 503-519.

Onderzoeksoutput: ArticleAcademicpeer review

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KW - confirmatory factor analysis

KW - factor indeterminacy

KW - factoranalyse

KW - statistiek

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