Constrained Bayesian Methods for Testing Directional Hypotheses Restricted False Discovery Rates

K. J. Kachiashvili, I.A. Prangishvili and J. K. Kachiashvili
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I.A. Prangishvili: Faculty of Informatics and Control Systems, Georgian Technical University, Georgia
J. K. Kachiashvili: I. Vekua Institute of Applied Mathematics

Biostatistics and Biometrics Open Access Journal, 2019, vol. 9, issue 3, 47-56

Abstract: Constrained Bayesian method (CBM) and the concept of false discovery rates (FDR) for testing directional hypotheses is considered in the paper. Here is shown that the direct application of CBM allows us to control FDR on the desired level. Theoretically it is proved that mixed directional false discovery rates (mdFDR) are restricted on the desired levels at the suitable choice of restriction levels at different statements of CBM. The correctness of the obtained theoretical results is confirmed by computation results of concrete examples.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:9:y:2019:i:3:p:47-56

DOI: 10.19080/BBOAJ.2019.09.555761

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