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The matrix stick-breaking process: Flexible Bayes meta-analysis

Publication ,  Journal Article
Dunson, DB; Xue, Y; Carin, L
Published in: Journal of the American Statistical Association
March 1, 2008

In analyzing data from multiple related studies, it often is of interest to borrow information across studies and to cluster similar studies. Although parametric hierarchical models are commonly used, of concern is sensitivity to the form chosen for the random-effects distribution. A Dirichlet process (DP) prior can allow the distribution to be unknown, while clustering studies; however, the DP does not allow local clustering of studies with respect to a subset of the coefficients without making independence assumptions. Motivated by this problem, we propose a matrix stick-breaking process (MSBP) as a prior for a matrix of random probability measures. Properties of the MSBP are considered, and methods are developed for posterior computation using Markov chain Monte Carlo. Using the MSBP as a prior for a matrix of study-specific regression coefficients, we demonstrate advantages over parametric modeling in simulated examples. The methods are further illustrated using a multinational uterotrophic bioassay study.

Duke Scholars

Published In

Journal of the American Statistical Association

DOI

ISSN

0162-1459

Publication Date

March 1, 2008

Volume

103

Issue

481

Start / End Page

317 / 327

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics
 

Citation

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Dunson, D. B., Xue, Y., & Carin, L. (2008). The matrix stick-breaking process: Flexible Bayes meta-analysis. Journal of the American Statistical Association, 103(481), 317–327. https://doi.org/10.1198/016214507000001364
Dunson, D. B., Y. Xue, and L. Carin. “The matrix stick-breaking process: Flexible Bayes meta-analysis.” Journal of the American Statistical Association 103, no. 481 (March 1, 2008): 317–27. https://doi.org/10.1198/016214507000001364.
Dunson DB, Xue Y, Carin L. The matrix stick-breaking process: Flexible Bayes meta-analysis. Journal of the American Statistical Association. 2008 Mar 1;103(481):317–27.
Dunson, D. B., et al. “The matrix stick-breaking process: Flexible Bayes meta-analysis.” Journal of the American Statistical Association, vol. 103, no. 481, Mar. 2008, pp. 317–27. Scopus, doi:10.1198/016214507000001364.
Dunson DB, Xue Y, Carin L. The matrix stick-breaking process: Flexible Bayes meta-analysis. Journal of the American Statistical Association. 2008 Mar 1;103(481):317–327.
Journal cover image

Published In

Journal of the American Statistical Association

DOI

ISSN

0162-1459

Publication Date

March 1, 2008

Volume

103

Issue

481

Start / End Page

317 / 327

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics