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On the empirical bayes approach to the problem of multiple testing

Publication ,  Journal Article
Bogdan, M; Ghosh, JK; Ochman, A; Tokdar, ST
Published in: Quality and Reliability Engineering International
October 1, 2007

We discuss the Empirical Bayes approach to the problem of multiple testing and compare it with a very popular frequentist method of Benjamini and Hochberg aimed at controlling the false discovery rate. Our main focus is the 'sparse mixture' case, when only a small proportion of tested hypotheses is expected to be false. The specific parametric model we consider is motivated by the application to detecting genes responsible for quantitative traits, but it can be used in a variety of other applications. We define some Parametric Empirical Bayes procedures for multiple testing and compare them with the Benjamini and Hochberg method using computer simulations. We explain some similarities between these two approaches by placing them within the same framework of threshold tests with estimated critical values. Copyright ©2007 John Wiley & Sons, Ltd.

Duke Scholars

Published In

Quality and Reliability Engineering International

DOI

EISSN

1099-1638

ISSN

0748-8017

Publication Date

October 1, 2007

Volume

23

Issue

6

Start / End Page

727 / 739

Related Subject Headings

  • Operations Research
  • 0906 Electrical and Electronic Engineering
  • 0102 Applied Mathematics
 

Citation

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Chicago
ICMJE
MLA
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Bogdan, M., Ghosh, J. K., Ochman, A., & Tokdar, S. T. (2007). On the empirical bayes approach to the problem of multiple testing. Quality and Reliability Engineering International, 23(6), 727–739. https://doi.org/10.1002/qre.876
Bogdan, M., J. K. Ghosh, A. Ochman, and S. T. Tokdar. “On the empirical bayes approach to the problem of multiple testing.” Quality and Reliability Engineering International 23, no. 6 (October 1, 2007): 727–39. https://doi.org/10.1002/qre.876.
Bogdan M, Ghosh JK, Ochman A, Tokdar ST. On the empirical bayes approach to the problem of multiple testing. Quality and Reliability Engineering International. 2007 Oct 1;23(6):727–39.
Bogdan, M., et al. “On the empirical bayes approach to the problem of multiple testing.” Quality and Reliability Engineering International, vol. 23, no. 6, Oct. 2007, pp. 727–39. Scopus, doi:10.1002/qre.876.
Bogdan M, Ghosh JK, Ochman A, Tokdar ST. On the empirical bayes approach to the problem of multiple testing. Quality and Reliability Engineering International. 2007 Oct 1;23(6):727–739.
Journal cover image

Published In

Quality and Reliability Engineering International

DOI

EISSN

1099-1638

ISSN

0748-8017

Publication Date

October 1, 2007

Volume

23

Issue

6

Start / End Page

727 / 739

Related Subject Headings

  • Operations Research
  • 0906 Electrical and Electronic Engineering
  • 0102 Applied Mathematics