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40532.pdf (1.55 MB)
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Some Aspects of Bayesian Multiple Testing
Author Info
Herath, Gonagala Mudiyanselage Nilupika
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1637060945128901
Abstract Details
Year and Degree
2021, PhD, University of Cincinnati, Arts and Sciences: Mathematical Sciences.
Abstract
Multiple testing in statistics refers to carrying out several statistical tests simultaneously. As the number of tests increases, the probability of incorrectly rejecting the null hypothesis also increases (multiplicity problem). Therefore, some multiplicity adjustment should always be considered to control the error rate. Making decisions without multiplicity adjustment can lead to error rates that are higher than the nominal rate. While several approaches to multiplicity adjustment are available, the Bayesian method is the only approach that inherently adjusts for multiplicity. This thesis considers the Bayesian approach to the multiple testing problem for different types of data: continuous and discrete data.
Committee
Sival Sivaganesan|, Ph.D (Committee Chair)
Xia Wang, Ph.D (Committee Member)
Hang Joon Kim, Ph.D (Committee Member)
Seongho| Song, Ph.D (Committee Member)
Pages
131 p.
Subject Headings
Statistics
Keywords
Bayesian multiple comparisons
;
t distribution
;
Hierarchical modeling
;
Binomial proportions
;
Nonlocal prior
;
Markov chain Monte Carlo MCMC
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Citations
Herath, G. M. N. (2021).
Some Aspects of Bayesian Multiple Testing
[Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1637060945128901
APA Style (7th edition)
Herath, Gonagala Mudiyanselage Nilupika.
Some Aspects of Bayesian Multiple Testing.
2021. University of Cincinnati, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1637060945128901.
MLA Style (8th edition)
Herath, Gonagala Mudiyanselage Nilupika. "Some Aspects of Bayesian Multiple Testing." Doctoral dissertation, University of Cincinnati, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1637060945128901
Chicago Manual of Style (17th edition)
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Document number:
ucin1637060945128901
Download Count:
66
Copyright Info
© 2021, some rights reserved.
Some Aspects of Bayesian Multiple Testing by Gonagala Mudiyanselage Nilupika Herath is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Cincinnati and OhioLINK.