The Annals of Applied Statistics

A semiparametric approach to mixed outcome latent variable models: Estimating the association between cognition and regional brain volumes

Jonathan Gruhl, Elena A. Erosheva, and Paul K. Crane

Full-text: Open access

Abstract

Multivariate data that combine binary, categorical, count and continuous outcomes are common in the social and health sciences. We propose a semiparametric Bayesian latent variable model for multivariate data of arbitrary type that does not require specification of conditional distributions. Drawing on the extended rank likelihood method by Hoff [Ann. Appl. Stat. 1 (2007) 265–283], we develop a semiparametric approach for latent variable modeling with mixed outcomes and propose associated Markov chain Monte Carlo estimation methods. Motivated by cognitive testing data, we focus on bifactor models, a special case of factor analysis. We employ our semiparametric Bayesian latent variable model to investigate the association between cognitive outcomes and MRI-measured regional brain volumes.

Article information

Source
Ann. Appl. Stat., Volume 7, Number 4 (2013), 2361-2383.

Dates
First available in Project Euclid: 23 December 2013

Permanent link to this document
https://projecteuclid.org/euclid.aoas/1387823323

Digital Object Identifier
doi:10.1214/13-AOAS675

Mathematical Reviews number (MathSciNet)
MR3161726

Zentralblatt MATH identifier
1283.62218

Keywords
Latent variable model Bayesian hierarchical model extended rank likelihood cognitive outcomes

Citation

Gruhl, Jonathan; Erosheva, Elena A.; Crane, Paul K. A semiparametric approach to mixed outcome latent variable models: Estimating the association between cognition and regional brain volumes. Ann. Appl. Stat. 7 (2013), no. 4, 2361--2383. doi:10.1214/13-AOAS675. https://projecteuclid.org/euclid.aoas/1387823323


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