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Illustration of Bayesian inference in normal data models using Gibbs sampling

Publication ,  Journal Article
Gelfand, AE; Hills, SE; Racine-Poon, A; Smith, AFM
Published in: Journal of the American Statistical Association
January 1, 1990

The use of the Gibbs sampler as a method for calculating Bayesian marginal posterior and predictive densities is reviewed and illustrated with a range of normal data models, including variance components, unordered and ordered means, hierarchical growth curves, and missing data in a crossover trial. In all cases the approach is straightforward to specify distributionally and to implement computationally, with output readily adapted for required inference summaries. © 1990 Taylor & Francis Group, LLC.

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Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

January 1, 1990

Volume

85

Issue

412

Start / End Page

972 / 985

Related Subject Headings

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

Citation

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Chicago
ICMJE
MLA
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Gelfand, A. E., Hills, S. E., Racine-Poon, A., & Smith, A. F. M. (1990). Illustration of Bayesian inference in normal data models using Gibbs sampling. Journal of the American Statistical Association, 85(412), 972–985. https://doi.org/10.1080/01621459.1990.10474968
Gelfand, A. E., S. E. Hills, A. Racine-Poon, and A. F. M. Smith. “Illustration of Bayesian inference in normal data models using Gibbs sampling.” Journal of the American Statistical Association 85, no. 412 (January 1, 1990): 972–85. https://doi.org/10.1080/01621459.1990.10474968.
Gelfand AE, Hills SE, Racine-Poon A, Smith AFM. Illustration of Bayesian inference in normal data models using Gibbs sampling. Journal of the American Statistical Association. 1990 Jan 1;85(412):972–85.
Gelfand, A. E., et al. “Illustration of Bayesian inference in normal data models using Gibbs sampling.” Journal of the American Statistical Association, vol. 85, no. 412, Jan. 1990, pp. 972–85. Scopus, doi:10.1080/01621459.1990.10474968.
Gelfand AE, Hills SE, Racine-Poon A, Smith AFM. Illustration of Bayesian inference in normal data models using Gibbs sampling. Journal of the American Statistical Association. 1990 Jan 1;85(412):972–985.

Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

January 1, 1990

Volume

85

Issue

412

Start / End Page

972 / 985

Related Subject Headings

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