A note on identifiability conditions in confirmatory factor analysis

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Abstract

Recently, Chen, Li and Zhang established conditions characterizing asymptotic identifiability of latent factors in confirmatory factor analysis. We give an elementary proof showing that a similar characterization holds non-asymptotically, and prove a related result for identifiability of factor loadings.

Original languageEnglish (US)
Article number109190
JournalStatistics and Probability Letters
Volume178
DOIs
StatePublished - Nov 2021

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

  • Confirmatory factor analysis
  • Factor loadings
  • Identifiability
  • Latent factors
  • Matrix factorizations

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