Brazilian Journal of Probability and Statistics

A gene-by-gene multiple comparison analysis: A predictive Bayesian approach

Erlandson F. Saraiva and Francisco Louzada

Full-text: Open access

Abstract

In this paper, we propose a hierarchical Bayesian framework with a prior Dirichlet process for gene-by-gene multiple comparison analysis. The comparison among experimental conditions are made using the posterior probability for hypothesis of equality or inequality. To calculate the posterior probabilities, we use the Polya urn scheme through latent variables and the Bayes factor. The performance of the proposed method, as well as a comparison with usual Tukey-test, are evaluated on artificial data and on a shotgun proteomics data set. The results reveal a better performance of the proposed methodology in identification of difference of means and/or variance.

Article information

Source
Braz. J. Probab. Stat., Volume 29, Number 1 (2015), 145-171.

Dates
First available in Project Euclid: 30 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.bjps/1414674780

Digital Object Identifier
doi:10.1214/13-BJPS233

Mathematical Reviews number (MathSciNet)
MR3299112

Zentralblatt MATH identifier
1329.62436

Keywords
Gene expression multiple comparison Bayesian Inference Bayes factor predictive density

Citation

Saraiva, Erlandson F.; Louzada, Francisco. A gene-by-gene multiple comparison analysis: A predictive Bayesian approach. Braz. J. Probab. Stat. 29 (2015), no. 1, 145--171. doi:10.1214/13-BJPS233. https://projecteuclid.org/euclid.bjps/1414674780


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