Document Type

Article

Language

eng

Publication Date

8-2018

Publisher

Walter de Gruyter

Source Publication

Statistical Applications in Genetics and Molecular Biology

Source ISSN

2194-6302

Abstract

We consider a multiple hypotheses problem with directional alternatives in a decision theoretic framework. We obtain an empirical Bayes rule subject to a constraint on mixed directional false discovery rate (mdFDR≤α) under the semiparametric setting where the distribution of the test statistic is parametric, but the prior distribution is nonparametric. We proposed separate priors for the left tail and right tail alternatives as it may be required for many applications. The proposed Bayes rule is compared through simulation against rules proposed by Benjamini and Yekutieli and Efron. We illustrate the proposed methodology for two sets of data from biological experiments: HIV-transfected cell-line mRNA expression data, and a quantitative trait genome-wide SNP data set. We have developed a user-friendly web-based shiny App for the proposed method which is available through URL https://npseb.shinyapps.io/npseb/. The HIV and SNP data can be directly accessed, and the results presented in this paper can be executed.

Comments

Published version. Statistical Applications in Genetics and Molecular Biology, Vol. 17, No. 4 (August 2018). DOI. © 2018 by Walter de Gruyter GmbH. Ised with permission

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