Efficient estimation and local identification in latent class analysis

Estimators which are efficient in the sense of having minimum asymptotic variance are obtained for the structural parameters of Lazarsfeld's latent class model of latent structure analysis. Sufficient conditions for the local identification of the structural parameters are also presented. The writer wishes to acknowledge with appreciation the helpful advice of Professors Leonid Hurwicz and Jacob Bearman of the University of Minnesota. Dr. John Gurland of Iowa State College assisted the author in clarifying certain points in this article.