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In an addendum to his seminal 1969 article J\"{o}reskog stated two sets ofconditions for rotational identification of the oblique factor solution underutilization of fixed zero elements in the factor loadings matrix. Thesecondition sets, formulated under factor correlation and factor covariancemetrics, respectively, were claimed to be equivalent and to lead to globalrotational uniqueness of the factor solution. It is shown here that theconditions for the oblique factor correlation structure need to be amended forglobal rotational uniqueness, and hence, that the condition sets are notequivalent in terms of unicity of the solution.

Rotational Uniqueness Conditions Under Oblique Factor Correlation Metric