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Interfaces Between Bayesian and Freq...
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Chang, Shih-Han.
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Interfaces Between Bayesian and Frequentist Multiple Testing.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Interfaces Between Bayesian and Frequentist Multiple Testing./
作者:
Chang, Shih-Han.
面頁冊數:
118 p.
附註:
Source: Dissertation Abstracts International, Volume: 77-05(E), Section: B.
Contained By:
Dissertation Abstracts International77-05B(E).
標題:
Statistics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3739708
ISBN:
9781339311807
Interfaces Between Bayesian and Frequentist Multiple Testing.
Chang, Shih-Han.
Interfaces Between Bayesian and Frequentist Multiple Testing.
- 118 p.
Source: Dissertation Abstracts International, Volume: 77-05(E), Section: B.
Thesis (Ph.D.)--Duke University, 2015.
This thesis investigates frequentist properties of Bayesian multiple testing procedures in a variety of scenarios and depicts the asymptotic behaviors of Bayesian methods. Both Bayesian and frequentist approaches to multiplicity control are studied and compared, with special focus on understanding the multiplicity control behavior in situations of dependence between test statistics.
ISBN: 9781339311807Subjects--Topical Terms:
517247
Statistics.
Interfaces Between Bayesian and Frequentist Multiple Testing.
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Source: Dissertation Abstracts International, Volume: 77-05(E), Section: B.
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Adviser: Jim Berger.
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Chapter 2 examines a problem of testing mutually exclusive hypotheses with dependent data. The Bayesian approach is shown to have excellent frequentist properties and is argued to be the most effective way of obtaining frequentist multiplicity control without sacrificing power. Chapter 3 further generalizes the model such that multiple signals are acceptable, and depicts the asymptotic behavior of false positives rates and the expected number of false positives. Chapter 4 considers the problem of dealing with a sequence of different trials concerning some medical or scientific issue, and discusses the possibilities for multiplicity control of the sequence. Chapter 5 addresses issues and efforts in reconciling frequentist and Bayesian approaches in sequential endpoint testing. We consider the conditional frequentist approach in sequential endpoint testing and show several examples in which Bayesian and frequentist methodologies cannot be made to match.
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