A note on identifiability conditions in confirmatory factor analysis
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Recently, Chen, Li and Zhang have established simple conditions characterizing when latent factors are asymptotically identifiable within a certain model of confirmatory factor analysis. In this note, we prove a related characterization of when factor loadings are identifiable, under slightly weaker modeling assumptions and a slightly stronger definition of identifiability. We also check that the previously-established characterization for latent factors still holds in our modified model.
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