Journal
PSYCHOMETRIKA
Volume 77, Issue 2, Pages 288-292Publisher
SPRINGER
DOI: 10.1007/S11336-012-9259-3
Keywords
factor analysis; oblique rotation; rotational uniqueness; unrestricted factor model
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Funding
- Netherlands Organization for Scientific Research (NWO) [NWO-VICI-453-05-002]
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In an addendum to his seminal 1969 article Joreskog stated two sets of conditions for rotational identification of the oblique factor solution under utilization of fixed zero elements in the factor loadings matrix (Joreskog in Advances in factor analysis and structural equation models, pp. 40-43, 1979). These condition sets, formulated under factor correlation and factor covariance metrics, respectively, were claimed to be equivalent and to lead to global rotational uniqueness of the factor solution. It is shown here that the conditions for the oblique factor correlation structure need to be amended for global rotational uniqueness, and, hence, that the condition sets are not equivalent in terms of unicity of the solution.
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