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dc.contributor.advisorFlournoy, Nancy, 1947-eng
dc.contributor.advisorYang, Min, 1970 Oct. 28-eng
dc.contributor.authorHyun, Seung Won, 1980-eng
dc.date.issued2010eng
dc.date.submitted2010 Springeng
dc.descriptionTitle from PDF of title page (University of Missouri--Columbia, viewed on June 9, 2010).eng
dc.descriptionThe entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.eng
dc.descriptionDissertation advisor: Dr. Nancy Flournoy and Dr. Min Yang.eng
dc.descriptionVita.eng
dc.descriptionPh. D. University of Missouri--Columbia 2010.eng
dc.description.abstract[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In many toxicological assays, interactions between primary and secondary effects may cause a downturn in mean responses at high doses. In this situation, the typical monotonicity assumption is invalid and may be quite misleading. Prior literature addresses the analysis of response functions with a downturn, but so far as we know, this paper initiates the study of experimental design for this situation. A growth model is combined with a death model to allow for the downturn in mean doses. Several different objective functions are studied. When the number of treatments equals the number of parameters, Fisher information is found to be independent of the model of the treatment means and on the magnitudes of the treatments. A- and DA-optimal weights for estimating adjacent mean differences are found and results on c-optimality are obtained for estimating the peak dose and the EC50 (the treatment with response half way between the control and the peak response on the increasing portion of the response function). Also, D-optimal designs for estimating parameters in the response functions are studied and identify support points and weights to minimize the generalized variance of the parameter estimates. Finally, two stage approach to estimating the EC50 is evaluated using c-optimal design for estimating the EC50.eng
dc.description.bibrefIncludes bibliographical references.eng
dc.format.extentix, 86 pageseng
dc.identifier.merlinb77870980eng
dc.identifier.oclc657642541eng
dc.identifier.urihttps://hdl.handle.net/10355/8438
dc.identifier.urihttps://doi.org/10.32469/10355/8438eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsAccess is limited to the campus of the University of Missouri-Columbia.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.subject.lcshMonotonic functionseng
dc.subject.lcshExperimental designeng
dc.titleOptimal designs for response functions with a downturneng
dc.typeThesiseng
thesis.degree.disciplineStatistics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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