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On the Estimation of Parameters in Latent Structure Analysis

Published online by Cambridge University Press:  01 January 2025

Leo A. Goodman
Leo A. Goodman*
Affiliation:
University of Chicago
*
Requests for reprints should be sent to Professor Leo A. Goodman, University of Chicago, 1126 East 59th Street, Chicago, IL 60637.
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Abstract

In this note, we describe the iterative procedure introduced earlier by Goodman to calculate the maximum likelihood estimates of the parameters in latent structure analysis, and we provide here a simple and direct proof of the fact that the parameter estimates obtained with the iterative procedure cannot lie outside the allowed interval. Formann recently stated that Goodman's algorithm can yield parameter estimates that lie outside the allowed interval, and we prove in the present note that Formann's contention is incorrect.

Keywords

latent structure analysislatent class modelsmaximum likelihood estimates
Type
Notes And Comments
Information
Psychometrika , Volume 44 , Issue 1 , March 1979 , pp. 123 - 128
Copyright
Copyright © 1979 The Psychometric Society

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Footnotes

This research was supported in part by Research Contract No. NSF SOC 76-80389 from the Division of the Social Sciences of the National Science Foundation. The author is indebted to C. C. Clogg for helpful comments and for the numerical results reported here (see, e.g., Table 1).

References

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