Hardyho-Weinbergova rovnováha
Hardy-Weinberg equlibrium
Hardyho-Weinbergova rovnováha
bachelor thesis (DEFENDED)
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http://hdl.handle.net/20.500.11956/40388Identifiers
Study Information System: 63503
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- Kvalifikační práce [11242]
Author
Advisor
Referee
Kulich, Michal
Faculty / Institute
Faculty of Mathematics and Physics
Discipline
General Mathematics
Department
Department of Probability and Mathematical Statistics
Date of defense
21. 6. 2012
Publisher
Univerzita Karlova, Matematicko-fyzikální fakultaLanguage
Slovak
Grade
Very good
Keywords (Czech)
Hardyho-Weinbergová rovnováha, multinomické rozdelenie, χ2 test, test pomerom vierohodnosti, exaktný testKeywords (English)
Hardy-Weinberg equilibrium, multinomic distribution, χ2 test, likelihood ratio test, exact testIn this paper, we describe various tests used to determine deviations from the Hardy-Weinberg equilibrium. The tests described are: the exact test, the χ2 test with and without continuity correction, the conditional χ2 test with and without continuity correction and the likelihood ratio test. These tests explore the question whether a random sample has trinomic distribution with probabilities pAA = θ2 , pAa = 2θ(1 − θ), paa = (1 − θ)2 . In this work, we simulate data of sample size 100 and we estimate the probability of type I error and the power of the tests. In this case, we get the best results with conditional χ2 test. The estimate of the power of the likelihood ratio test and the χ2 test is one of the highest of all. On the other hand, these two test are anticonservative in some cases . 1