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Generalized Latent Trait Models

Published online by Cambridge University Press:  01 January 2025

Irini Moustaki  and
Martin Knott
Irini Moustaki*
Affiliation:
London School of Economics and Political Science
Martin Knott
Affiliation:
London School of Economics and Political Science
*
Requests for reprints should be sent to Irini Moustaki, Department of Statistics, London School of Economics, Houghton Street, London WC2A 2AE, UK. E-mail: i.moustaki @lse.ac.uk
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Abstract

In this paper we discuss a general model framework within which manifest variables with different distributions in the exponential family can be analyzed with a latent trait model. A unified maximum likelihood method for estimating the parameters of the generalized latent trait model will be presented. We discuss in addition the scoring of individuals on the latent dimensions. The general framework presented allows, not only the analysis of manifest variables all of one type but also the simultaneous analysis of a collection of variables with different distributions. The approach used analyzes the data as they are by making assumptions about the distribution of the manifest variables directly.

Keywords

generalized linear modelslatent trait modelEM algorithmscoring methods
Type
Original Paper
Information
Psychometrika , Volume 65 , Issue 3 , September 2000 , pp. 391 - 411
Copyright
Copyright © 2000 The Psychometric Society

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