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Bayesian multivariate logistic regression.

Publication ,  Journal Article
O'Brien, SM; Dunson, DB
Published in: Biometrics
September 2004

Bayesian analyses of multivariate binary or categorical outcomes typically rely on probit or mixed effects logistic regression models that do not have a marginal logistic structure for the individual outcomes. In addition, difficulties arise when simple noninformative priors are chosen for the covariance parameters. Motivated by these problems, we propose a new type of multivariate logistic distribution that can be used to construct a likelihood for multivariate logistic regression analysis of binary and categorical data. The model for individual outcomes has a marginal logistic structure, simplifying interpretation. We follow a Bayesian approach to estimation and inference, developing an efficient data augmentation algorithm for posterior computation. The method is illustrated with application to a neurotoxicology study.

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Published In

Biometrics

DOI

ISSN

0006-341X

Publication Date

September 2004

Volume

60

Issue

3

Start / End Page

739 / 746

Location

United States

Related Subject Headings

  • Statistics & Probability
  • Rats
  • Pregnancy
  • Multivariate Analysis
  • Motor Activity
  • Monte Carlo Method
  • Methoxychlor
  • Markov Chains
  • Male
  • Logistic Models
 

Citation

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O’Brien, S. M., & Dunson, D. B. (2004). Bayesian multivariate logistic regression. Biometrics, 60(3), 739–746. https://doi.org/10.1111/j.0006-341X.2004.00224.x
O’Brien, Sean M., and David B. Dunson. “Bayesian multivariate logistic regression.Biometrics 60, no. 3 (September 2004): 739–46. https://doi.org/10.1111/j.0006-341X.2004.00224.x.
O’Brien SM, Dunson DB. Bayesian multivariate logistic regression. Biometrics. 2004 Sep;60(3):739–46.
O’Brien, Sean M., and David B. Dunson. “Bayesian multivariate logistic regression.Biometrics, vol. 60, no. 3, Sept. 2004, pp. 739–46. Pubmed, doi:10.1111/j.0006-341X.2004.00224.x.
O’Brien SM, Dunson DB. Bayesian multivariate logistic regression. Biometrics. 2004 Sep;60(3):739–746.
Journal cover image

Published In

Biometrics

DOI

ISSN

0006-341X

Publication Date

September 2004

Volume

60

Issue

3

Start / End Page

739 / 746

Location

United States

Related Subject Headings

  • Statistics & Probability
  • Rats
  • Pregnancy
  • Multivariate Analysis
  • Motor Activity
  • Monte Carlo Method
  • Methoxychlor
  • Markov Chains
  • Male
  • Logistic Models