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dc.contributor.advisorSarkar, S. K. (Sanat K.)
dc.creatorLiu, Fang
dc.date.accessioned2020-10-27T15:14:13Z
dc.date.available2020-10-27T15:14:13Z
dc.date.issued2010
dc.identifier.other864884638
dc.identifier.urihttp://hdl.handle.net/20.500.12613/1752
dc.description.abstractThe false discovery rate (FDR) introduced by Benjamini and Hochberg (1995) is perhaps the most standard error controlling measure being used in a wide variety of applications involving multiple hypothesis testing. There are two approaches to control the FDR - the fixed error rate approach of Benjamini and Hochberg (BH, 1995) where a rejection region is determined with the FDR below a fixed level and the estimation based approach of Storey (2002) where the FDR is estimated for a fixed rejection region before it is controlled. In this proposal, we concentrate on both these approaches and propose new, improved versions of some FDR controlling procedures available in the literature. A number of adaptive procedures have been put forward in the literature, each attempting to improve the method of Benjamini and Hochberg (1995), the BH method, by incorporating into this method an estimate of number true null hypotheses. Among these, the method of Benjamini, Krieger and Yekutieli (2006), the BKY method, has been receiving lots of attention recently. In this proposal, a variant of the BKY method is proposed by considering a different estimate of number true null hypotheses, which often outperforms the BKY method in terms of the FDR control and power. Storey's (2002) estimation based approach to controlling the FDR has been developed from a class of conservatively biased point estimates of the FDR under a mixture model for the underlying p-values and a fixed rejection threshold for each null hypothesis. An alternative class of point estimates of the FDR with uniformly smaller conservative bias is proposed under the same setup. Numerical evidence is provided to show that the mean squared error (MSE) is also often smaller for this new class of estimates. Compared to Storey's (2002), the present class provides a more powerful estimation based approach to controlling the FDR.
dc.format.extent83 pages
dc.language.isoeng
dc.publisherTemple University. Libraries
dc.relation.ispartofTheses and Dissertations
dc.rightsIN COPYRIGHT- This Rights Statement can be used for an Item that is in copyright. Using this statement implies that the organization making this Item available has determined that the Item is in copyright and either is the rights-holder, has obtained permission from the rights-holder(s) to make their Work(s) available, or makes the Item available under an exception or limitation to copyright (including Fair Use) that entitles it to make the Item available.
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectStatistics
dc.subjectAdaptive Bh Procedure
dc.subjectFalse Discovery Rate
dc.subjectFdr Estimate
dc.subjectMultiple Test
dc.subjectPfdr
dc.subjectQ-value
dc.titleNew Results on the False Discovery Rate
dc.typeText
dc.type.genreThesis/Dissertation
dc.contributor.committeememberRaghavarao, Damaraju
dc.contributor.committeememberParnes, Milton
dc.contributor.committeememberSoper, Keith A.
dc.description.departmentStatistics
dc.relation.doihttp://dx.doi.org/10.34944/dspace/1734
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.description.degreePh.D.
refterms.dateFOA2020-10-27T15:14:13Z


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