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.
Duke Scholars
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
APA
Chicago
ICMJE
MLA
NLM
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