A note on the identification of restricted factor loading matrices

A note on the identification of restricted factor loading matrices

It is shown that problems of rotational equivalence of restricted factor loading matrices in orthogonal factor analysis are equivalent to problems of identification in simultaneous equations systems with covariance restrictions. A necessary (under a regularity assumption) and sufficient condition fo...

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Veröffentlicht in:Psychometrika 1986-12, Vol.51 (4), p.607-611
1. Verfasser: BEKKER, P. A
Format: Artikel
Sprache:eng
Schlagworte:
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics. Statistics. Methodology
Statistics. Mathematics
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Zusammenfassung:It is shown that problems of rotational equivalence of restricted factor loading matrices in orthogonal factor analysis are equivalent to problems of identification in simultaneous equations systems with covariance restrictions. A necessary (under a regularity assumption) and sufficient condition for local uniqueness is given and a counterexample is provided to a theorem by J. Algina concerning necessary and sufficient conditions for global uniqueness.
ISSN:0033-3123
1860-0980
DOI:10.1007/BF02295600