A Bayesian decision procedure for testing multiple hypotheses in DNA microarray experiments

Simple item page
dc.contributor.authorGómez Villegas, Miguel Ángel
dc.contributor.authorSalazar Mendoza, Isabel
dc.contributor.authorSanz San Miguel, Luis
dc.date.accessioned2023-06-19T13:23:35Z
dc.date.available2023-06-19T13:23:35Z
dc.date.issued2014-02
dc.description.abstractDNA microarray experiments require the use of multiple hypothesis testing procedures because thousands of hypotheses are simultaneously tested. We deal with this problem from a Bayesian decision theory perspective. We propose a decision criterion based on an estimation of the number of false null hypotheses (FNH), taking as an error measure the proportion of the posterior expected number of false positives with respect to the estimated number of true null hypotheses. The methodology is applied to a Gaussian model when testing bilateral hypotheses. The procedure is illustrated with both simulated and real data examples and the results are compared to those obtained by the Bayes rule when an additive loss function is considered for each joint action and the generalized loss 0-1 function for each individual action. Our procedure significantly reduced the percentage of false negatives whereas the percentage of false positives remains at an acceptable level.en
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/24989
dc.identifier.citationGómez Villegas, M. A., Salazar Mendoza, I. & Sanz San Miguel, L. «A Bayesian decision procedure for testing multiple hypotheses in DNA microarray experiments». Statistical Applications in Genetics and Molecular Biology, vol. 13, n.o 1, enero de 2014. DOI.org (Crossref), https://doi.org/10.1515/sagmb-2012-0076.
dc.identifier.doi10.1515/sagmb-2012-0076
dc.identifier.issn2194-6302
dc.identifier.officialurlhttps//doi.org/10.1515/sagmb-2012-0076
dc.identifier.relatedurlhttp://www.degruyter.com/view/j/sagmb.2014.13.issue-1/sagmb-2012-0076/sagmb-2012-0076.xml
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33504
dc.issue.number1
dc.journal.titleStatistical Applications in Genetics and Molecular Biology
dc.page.final65
dc.page.initial49
dc.publisherDe Gruyter
dc.relation.projectIDMTM 2008-03282/MTM
dc.relation.projectIDGR 58/08
dc.rights.accessRightsmetadata only access
dc.subject.cdu519.2
dc.subject.keywordBayes rule
dc.subject.keywordBayesian decision
dc.subject.keywordMultiple hypothesis
dc.subject.keywordPosterior expected loss
dc.subject.keywordFalse positives
dc.subject.keywordFalse negatives
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco1209 Estadística
dc.titleA Bayesian decision procedure for testing multiple hypotheses in DNA microarray experimentsen
dc.typejournal article
dc.volume.number13
dspace.entity.typePublication
relation.isAuthorOfPublicationc8f6ba8b-2df4-4f4a-ac9a-76e7b061e41a
relation.isAuthorOfPublicationfb980ce9-69d1-4a58-8a9e-24bedc50b034
relation.isAuthorOfPublication64af750b-6141-441e-b18f-d2fcc9f2e7b4
relation.isAuthorOfPublication.latestForDiscovery64af750b-6141-441e-b18f-d2fcc9f2e7b4
Download
Collections
Artículos