This book presents state of the art methods for accommodating model uncertainty in random effects and latent variable models. It is divided into four sections featuring articles by experts in the various areas of model uncertainty in latent variable models.

This edited volume provides an overview of the current literature on accounting for model uncertainty in latent variable models, focusing on topics of particular interest from an applied perspective.

Practically motivated and clear overview of methods for selecting random effects. Leading researchers in the field describe how to appropriately test variance components equal to zero. Bayesian and frequentist approaches for model selection in structural equation models. Includes supplementary material: sn.pub/extras

Klappentext

Random effects and latent variable models are broadly used in analyses of multivariate data. These models can accommodate high dimensional data having a variety of measurement scales. Methods for model selection and comparison are needed in conducting hypothesis tests and in building sparse predictive models. However, classical methods for model comparison are not well justified in such settings.

This book presents state of the art methods for accommodating model uncertainty in random effects and latent variable models. It will appeal to students, applied data analysts, and experienced researchers. The chapters are based on the contributors' research, with mathematical details minimized using applications-motivated descriptions.

The first part of the book focuses on frequentist likelihood ratio and score tests for zero variance components. Contributors include Xihong Lin, Daowen Zhang and Ciprian Crainiceanu.

The second part focuses on Bayesian methods for random effects selection in linear mixed effects and generalized linear mixed models. Contributors include David Dunson and collaborators Bo Cai and Saki Kinney.

The final part focuses on structural equation models, with Peter Bentler and Jiajuan Liang presenting a frequentist approach, Sik-Yum Lee and Xin-Yuan Song presenting a Bayesian approach based on path sampling, and Joyee Ghosh and David Dunson proposing a method for default prior specification and efficient posterior computation.

David Dunson is Professor in the Department of Statistical Science at Duke University. He is an international authority on Bayesian methods for correlated data, a fellow of the American Statistical Association, and winner of the David Byar and Mortimer Spiegelman Awards.

Inhalt
Random Effects Models.- Likelihood Ratio Testing for Zero Variance Components in Linear Mixed Models.- Variance Component Testing in Generalized Linear Mixed Models for Longitudinal/Clustered Data and other Related Topics.- Bayesian Model Uncertainty in Mixed Effects Models.- Bayesian Variable Selection in Generalized Linear Mixed Models.- Factor Analysis and Structural Equations Models.- A Unified Approach to Two-Level Structural Equation Models and Linear Mixed Effects Models.- Bayesian Model Comparison of Structural Equation Models.- Bayesian Model Selection in Factor Analytic Models.