Bayesian analysis of mixture models with application to genetic linkage
Thesis (M.A.S)--Memorial University of Newfoundland, 2010. Mathematics and Statistics Includes bibliographical references (leaves 47-52) Through an application to genetic linkage analysis, this project describes how the Bayesian approach can be used for the mixture model with an unknown number of co...
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ftmemorialunivdc:oai:collections.mun.ca:theses4/31692 2023-05-15T17:23:33+02:00 Bayesian analysis of mixture models with application to genetic linkage Fang, Fang, 1983- Memorial University of Newfoundland. Dept. of Mathematics and Statistics 2010 viii, 52 leaves Image/jpeg; Application/pdf http://collections.mun.ca/cdm/ref/collection/theses4/id/31692 Eng eng Electronic Theses and Dissertations (6.01 MB) -- http://collections.mun.ca/PDFs/theses/Fang_Fang.pdf a3475041 http://collections.mun.ca/cdm/ref/collection/theses4/id/31692 The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries Bayesian statistical decision theory Linkage (Genetics)--Mathematical models Markov processes--Numerical solutions Monte Carlo method Text Electronic thesis or dissertation 2010 ftmemorialunivdc 2015-08-06T19:21:53Z Thesis (M.A.S)--Memorial University of Newfoundland, 2010. Mathematics and Statistics Includes bibliographical references (leaves 47-52) Through an application to genetic linkage analysis, this project describes how the Bayesian approach can be used for the mixture model with an unknown number of components. Genetic linkage analysis based on a complex model can be difficult to manage when a large number of markers loci and/or large pedigrees are involved, due to computation limitations. However, Markov chain Monte Carlo (MCMC) schemes are one alternative, utilizing a reversible jump steps that allow change on the dimension of parameter space. Thus, the MCMC samplers with a different numbers of quantitative trait loci based on complex large pedigrees can be obtained using reversible jump MCMC methodology. The application of the MCMC scheme is illustrated with a case study of genetic linkage to hypercalciuria. This analysis report found strong evidence for linkage of hypercalciuria to calibrated estimates of Bayes factors, the so-called L-Scores. To my knowledge this is the first time that urinary calcium excretion has been clearly linked to a narrow region of the genome. Nevertheless, further study is needed to confirm this finding. Thesis Newfoundland studies University of Newfoundland Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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Memorial University of Newfoundland: Digital Archives Initiative (DAI) |
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English |
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Bayesian statistical decision theory Linkage (Genetics)--Mathematical models Markov processes--Numerical solutions Monte Carlo method |
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Bayesian statistical decision theory Linkage (Genetics)--Mathematical models Markov processes--Numerical solutions Monte Carlo method Fang, Fang, 1983- Bayesian analysis of mixture models with application to genetic linkage |
topic_facet |
Bayesian statistical decision theory Linkage (Genetics)--Mathematical models Markov processes--Numerical solutions Monte Carlo method |
description |
Thesis (M.A.S)--Memorial University of Newfoundland, 2010. Mathematics and Statistics Includes bibliographical references (leaves 47-52) Through an application to genetic linkage analysis, this project describes how the Bayesian approach can be used for the mixture model with an unknown number of components. Genetic linkage analysis based on a complex model can be difficult to manage when a large number of markers loci and/or large pedigrees are involved, due to computation limitations. However, Markov chain Monte Carlo (MCMC) schemes are one alternative, utilizing a reversible jump steps that allow change on the dimension of parameter space. Thus, the MCMC samplers with a different numbers of quantitative trait loci based on complex large pedigrees can be obtained using reversible jump MCMC methodology. The application of the MCMC scheme is illustrated with a case study of genetic linkage to hypercalciuria. This analysis report found strong evidence for linkage of hypercalciuria to calibrated estimates of Bayes factors, the so-called L-Scores. To my knowledge this is the first time that urinary calcium excretion has been clearly linked to a narrow region of the genome. Nevertheless, further study is needed to confirm this finding. |
author2 |
Memorial University of Newfoundland. Dept. of Mathematics and Statistics |
format |
Thesis |
author |
Fang, Fang, 1983- |
author_facet |
Fang, Fang, 1983- |
author_sort |
Fang, Fang, 1983- |
title |
Bayesian analysis of mixture models with application to genetic linkage |
title_short |
Bayesian analysis of mixture models with application to genetic linkage |
title_full |
Bayesian analysis of mixture models with application to genetic linkage |
title_fullStr |
Bayesian analysis of mixture models with application to genetic linkage |
title_full_unstemmed |
Bayesian analysis of mixture models with application to genetic linkage |
title_sort |
bayesian analysis of mixture models with application to genetic linkage |
publishDate |
2010 |
url |
http://collections.mun.ca/cdm/ref/collection/theses4/id/31692 |
genre |
Newfoundland studies University of Newfoundland |
genre_facet |
Newfoundland studies University of Newfoundland |
op_source |
Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries |
op_relation |
Electronic Theses and Dissertations (6.01 MB) -- http://collections.mun.ca/PDFs/theses/Fang_Fang.pdf a3475041 http://collections.mun.ca/cdm/ref/collection/theses4/id/31692 |
op_rights |
The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. |
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