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Multilevel and Latent Variable Modeling with Composite Links and Exploded Likelihoods

Published online by Cambridge University Press:  01 January 2025

Sophia Rabe-Hesketh  and
Anders Skrondal
Sophia Rabe-Hesketh*
Affiliation:
University of California at Berkeley and University of London
Anders Skrondal
Affiliation:
London School of Economics and Norwegian Institute of Public Health
*
Requests for reprints should be sent to Sophia Rabe-Hesketh, 3659 Tolman Hall, Graduate School of Education, University of California, Berkeley, CA 94720-1670, USA. E-mail: sophiarh@berkeley.edu
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Abstract

Composite links and exploded likelihoods are powerful yet simple tools for specifying a wide range of latent variable models. Applications considered include survival or duration models, models for rankings, small area estimation with census information, models for ordinal responses, item response models with guessing, randomized response models, unfolding models, latent class models with random effects, multilevel latent class models, models with log-normal latent variables, and zero-inflated Poisson models with random effects. Some of the ideas are illustrated by estimating an unfolding model for attitudes to female work participation.

Keywords

composite linkexploded likelihoodunfoldingmultilevel modelgeneralized linear mixed modellatent variable modelitem response modelfactor modelfrailtyzero-inflated Poisson modelgllamm

Information

Type
Original Paper
Information
Psychometrika , Volume 72 , Issue 2 , June 2007 , pp. 123 - 140
Copyright
Copyright © 2007 The Psychometric Society

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Footnotes

We wish to thank The Research Council of Norway for a grant supporting our collaboration.

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