Abstract
In this article, we report a surprising phenomenon: Oblique CF-varimax and
oblique CF-quartimax rotation produced similar point estimates for rotated
factor loadings and factor correlations but different standard error estimates in
an empirical example. Influences of factor rotation on asymptotic standard
errors are investigated using a numerical exploration method. The results are
(a) CF-varimax, CF-quartimax, CF-equamax, and CF-parsimax produced
similar asymptotic standard errors when the factor loading matrix is an inde-
pendent cluster solution and (b) the four rotation methods produced different
asymptotic standard errors when the factor loading matrix has a more complex
structure. In addition, properties of the CF family are explored with a full range
of K, values.
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