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Bayesian dynamic modeling of latent trait distributions.

Publication ,  Journal Article
Dunson, DB
Published in: Biostatistics (Oxford, England)
October 2006

Studies of latent traits often collect data for multiple items measuring different aspects of the trait. For such data, it is common to consider models in which the different items are manifestations of a normal latent variable, which depends on covariates through a linear regression model. This article proposes a flexible Bayesian alternative in which the unknown latent variable density can change dynamically in location and shape across levels of a predictor. Scale mixtures of underlying normals are used in order to model flexibly the measurement errors and allow mixed categorical and continuous scales. A dynamic mixture of Dirichlet processes is used to characterize the latent response distributions. Posterior computation proceeds via a Markov chain Monte Carlo algorithm, with predictive densities used as a basis for inferences and evaluation of model fit. The methods are illustrated using data from a study of DNA damage in response to oxidative stress.

Duke Scholars

Published In

Biostatistics (Oxford, England)

DOI

EISSN

1468-4357

ISSN

1465-4644

Publication Date

October 2006

Volume

7

Issue

4

Start / End Page

551 / 568

Related Subject Headings

  • Statistics, Nonparametric
  • Statistics & Probability
  • Oxidative Stress
  • Monte Carlo Method
  • Models, Statistical
  • Models, Biological
  • Markov Chains
  • Hydrogen Peroxide
  • Humans
  • DNA Damage
 

Citation

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Dunson, D. B. (2006). Bayesian dynamic modeling of latent trait distributions. Biostatistics (Oxford, England), 7(4), 551–568. https://doi.org/10.1093/biostatistics/kxj025
Dunson, David B. “Bayesian dynamic modeling of latent trait distributions.Biostatistics (Oxford, England) 7, no. 4 (October 2006): 551–68. https://doi.org/10.1093/biostatistics/kxj025.
Dunson DB. Bayesian dynamic modeling of latent trait distributions. Biostatistics (Oxford, England). 2006 Oct;7(4):551–68.
Dunson, David B. “Bayesian dynamic modeling of latent trait distributions.Biostatistics (Oxford, England), vol. 7, no. 4, Oct. 2006, pp. 551–68. Epmc, doi:10.1093/biostatistics/kxj025.
Dunson DB. Bayesian dynamic modeling of latent trait distributions. Biostatistics (Oxford, England). 2006 Oct;7(4):551–568.
Journal cover image

Published In

Biostatistics (Oxford, England)

DOI

EISSN

1468-4357

ISSN

1465-4644

Publication Date

October 2006

Volume

7

Issue

4

Start / End Page

551 / 568

Related Subject Headings

  • Statistics, Nonparametric
  • Statistics & Probability
  • Oxidative Stress
  • Monte Carlo Method
  • Models, Statistical
  • Models, Biological
  • Markov Chains
  • Hydrogen Peroxide
  • Humans
  • DNA Damage