Conditions for factor (in)determinacy in factor analysis

Wim P. Krijnen, Theo K. Dijkstra, Richard D. Gill

Onderzoeksoutput: ArticleAcademicpeer review

Uittreksel

Abstract The subject of factor indeterminacy has a vast history in factor analysis (Guttman, 1955; Lederman, 1938; Wilson, 1928). It has lead to strong differences in opinion (Steiger, 1979). The current paper gives necessary and sufficient conditions for observability of factors in terms of the parameter matrices and a finite number of variables. Five conditions are given which rigorously define indeterminacy. It is shown that (un)observable factors are (in)determinate. Specifically, the indeterminacy proof by Guttman is extended to Heywood cases. The results are illustrated by two examples and implications for indeterminacy are discussed.
Originele taal-2English
Pagina's (van-tot)359-367
TijdschriftPsychometrika. Vol 67(1)
Volume63
Nummer van het tijdschrift4
DOI's
StatusPublished - dec 1998

Vingerafdruk

Determinacy
Indeterminacy
Observability
Factor analysis
Factor Analysis
Statistical Factor Analysis
History
Necessary Conditions
Sufficient Conditions

Keywords

  • factoranalyse

Citeer dit

Krijnen, Wim P. ; Dijkstra, Theo K. ; Gill, Richard D. / Conditions for factor (in)determinacy in factor analysis. In: Psychometrika. Vol 67(1). 1998 ; Vol. 63, Nr. 4. blz. 359-367.
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Conditions for factor (in)determinacy in factor analysis. / Krijnen, Wim P.; Dijkstra, Theo K.; Gill, Richard D.

In: Psychometrika. Vol 67(1), Vol. 63, Nr. 4, 12.1998, blz. 359-367.

Onderzoeksoutput: ArticleAcademicpeer review

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AU - Dijkstra, Theo K.

AU - Gill, Richard D.

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AB - Abstract The subject of factor indeterminacy has a vast history in factor analysis (Guttman, 1955; Lederman, 1938; Wilson, 1928). It has lead to strong differences in opinion (Steiger, 1979). The current paper gives necessary and sufficient conditions for observability of factors in terms of the parameter matrices and a finite number of variables. Five conditions are given which rigorously define indeterminacy. It is shown that (un)observable factors are (in)determinate. Specifically, the indeterminacy proof by Guttman is extended to Heywood cases. The results are illustrated by two examples and implications for indeterminacy are discussed.

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M3 - Article

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