A note on the identification of restricted factor loading matrices (Q1819866)
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scientific article; zbMATH DE number 3994792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the identification of restricted factor loading matrices |
scientific article; zbMATH DE number 3994792 |
Statements
A note on the identification of restricted factor loading matrices (English)
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1986
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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 equation 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 \textit{J. Algina} [A note on identification in the oblique and orthogonal factor analysis model. ibid. 45, 393-396 (1980)] concerning necessary and sufficient conditions for global uniqueness.
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rotational equivalence of restricted factor loading matrices
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orthogonal factor analysis
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identification in simultaneous equation systems
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local uniqueness
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counterexample
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global uniqueness
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0.9614413
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0.88343525
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0.85507715
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0.8508668
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0.8436125
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0.8436125
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