Sankhya: The Indian Journal of Statistics

1993, Volume 55, Series A, Pt. 3, 409--419

ESTIMATING RELATIONSHIPS BETWEEN LATENT VARIABLES

By

DAVID J. BARTHOLOMEW, London School of Economics, England

 

SUMMARY. Latent variables are often used in modelling social and economic phenomena and there is a major interest in exploring their inter-relationships. One well-established approach associated with Joreskog combines the measurement model of factor analysis with the linear structural relationship models used in econometrics and elsewhere.

In this paper we view the problem from a more general standpoint which allows non-linear relationships and where both latent and manifest variables may be categorical. This analysis shows that Lisrel- type models may be unidentifiable in a hitherto unrecognized sense and this fact raises serious questions about much current use of the approach.

Subject classification. 62H25, 62P15

FULL PAPER.

This article in Mathematical Reviews.