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Conditions for factor (in)determinacy in factor analysis

Conditions for factor (in)determinacy in factor analysis

Samenvatting

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.

OrganisatieHanzehogeschool Groningen
Gepubliceerd inPsychometrika. Vol 67(1) Springer Verlag, Vol. 63, Uitgave: 4, Pagina's: 359-367
Datum1998-12
TypeArtikel
DOI10.1007/BF02294860
TaalEngels

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