Višestruko testiranje hipoteza i Sorićeva metoda

Zelić, Doris (2014) Višestruko testiranje hipoteza i Sorićeva metoda. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this thesis we talk about the multiple testing problem. At the beginning of the thesis we introduce the problem of statistical hypotheses testing, its basic concepts and give some examples of testing. Then we explain how and why the problem occurs and present some solutions suggested in statistics literature. We introduce the basic concepts that arise in multiple testing, such as errors of type I and II, the power of the test, FWER (familywise error rate) and we list some of the procedures for error control. A big part of this thesis is dedicated to FDR (false discovery rate) whose idea goes back to dr. Branko Sorić. We define the FDR method, we compare it with FWER and we talk about its importance. We also describe the FDR procedure which is designed to control the expected proportion of incorrectly rejected null hypotheses. In a simulation study, we illustrate the benefits of the FDR method which are the reason for its great popularity. In this thesis we have only scratched the surface of this very important topic. The literature on multiple testing problem is very rich. New contributions and developments appear continuously.

Item Type: Thesis (Diploma thesis)
Supervisor: Basrak, Bojan
Date: 2014
Number of Pages: 29
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 02 Sep 2015 10:17
Last Modified: 02 Sep 2015 10:17
URI: http://digre.pmf.unizg.hr/id/eprint/4210

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