Random Effect and Latent Variable Model Selection (Paperback)

• Category:  Books  »  Mathematics  »  Probability & Statistics - General
• Format: Paperback   Learn more about the Paperback format using Tower WIKI.
• Number of Pages: 190
• ISBN: 0387767207
• WAPI (Tower ID): 112128710
• Release Date: July 4, 2008
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• Tower.com Sales Rank: #726227 in Books (See Top 100 Books Bestsellers)
• #6452 in Mathematics (See Top 100 Mathematics Bestsellers)
• #1119 in Probability & Statistics - General (See Top 100 Probability & Statistics - General Bestsellers)

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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 contributorsa (TM) research, with mathematical details minimized using accessible 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.

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