A semiparametric Bayesian model for randomised block designs

被引：213

作者：

Bush, CA ^{[1
]}

MacEachern, SN ^{[1
]}

机构：

[1] OHIO STATE UNIV,DEPT STAT,COLUMBUS,OH 43210

来源：

BIOMETRIKA | 1996年 / 83卷 / 02期

关键词：

Dirichlet process; Gibbs sampler; hierarchical model;

D O I：

10.1093/biomet/83.2.275

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A model is proposed for a Bayesian semiparametric analysis of randomised block experiments. The model is a hierarchical model in which a Dirichlet process is inserted at the middle stage for the distribution of the block effects. This model allows an arbitrary distribution of block effects, and it results in effective estimates of treatment contrasts, block effects and the distribution of block effects. An effective computational strategy is presented for describing the posterior distribution.

引用

页码：275 / 285

页数：11

共 12 条

[1] MIXTURES OF DIRICHLET PROCESSES WITH APPLICATIONS TO BAYESIAN NONPARAMETRIC PROBLEMS
ANTONIAK, CE
[J]. ANNALS OF STATISTICS, 1974, 2 (06) : 1152 - 1174
[2] BAYESIAN DENSITY-ESTIMATION AND INFERENCE USING MIXTURES
ESCOBAR, MD
WEST, M
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1995, 90 (430) : 577 - 588
[3] ESTIMATING NORMAL MEANS WITH A DIRICHLET PROCESS PRIOR
ESCOBAR, MD
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1994, 89 (425) : 268 - 277
[4] BAYESIAN ANALYSIS OF SOME NONPARAMETRIC PROBLEMS
FERGUSON, TS
[J]. ANNALS OF STATISTICS, 1973, 1 (02) : 209 - 230
[5] GELFAND AE, 1990, J AM STAT ASSOC, V85, P378
[6] JOHN PWM, 1971, STATISTICAL DESIGN A
[7] LINDLEY DV, 1972, J ROY STAT SOC B, V34, P1
[8] ESTIMATING NORMAL MEANS WITH A CONJUGATE STYLE DIRICHLET PROCESS PRIOR
MACEACHERN, SN
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1994, 23 (03) : 727 - 741
[9] Bayesian curve fitting using multivariate normal mixtures
Muller, P
Erkanli, A
West, M
[J]. BIOMETRIKA, 1996, 83 (01) : 67 - 79
[10] BAYES ESTIMATES IN ONE-WAY AND 2-WAY MODELS
SMITH, AFM
[J]. BIOMETRIKA, 1973, 60 (02) : 319 - 329

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