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dc.contributor.advisorFlournoy, Nancy, 1947-eng
dc.contributor.authorRabie, Huwaida, 1958-eng
dc.date.issued2004eng
dc.date.submitted2004 Falleng
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.eng
dc.descriptionTitle from title screen of research.pdf file viewed on (June 29, 2006)eng
dc.descriptionIncludes bibliographical references.eng
dc.descriptionVita.eng
dc.descriptionThesis (Ph. D.) University of Missouri-Columbia 2004.eng
dc.descriptionDissertations, Academic -- University of Missouri--Columbia -- Statistics.eng
dc.description.abstractWe study D- and c-optimal designs for dose-finding with opposing failure functions. In particular, we study the contingent response models of Li, Durham and Flournoy (1995). In the contingent response model, there are two opposing types of failure. We call one failure type toxicity and the other disease failure, short for failure due to disease. No disease failure is efficacy. No toxicity and no disease failure is a success or cure. We assume disease failures are contingent on toxicity in that they are only observed in the absence of toxicity. We also assume the probability of toxicity increases with the dose, and the probability of disease failure given no toxicity decreases with dose. We find canonical c- and D-optimal designs and show that other designs in the location-scale family can be obtained from a canonical design. For c-optimality, interest is in finding designs for estimating the dose that maximizes the cure probability, which we call the optimal dose. We use the positive-negative extreme value contingent response model to provide a specific illustration of the D- and c-optimal designs. We examine the efficiency of relevant up-and down procedures in the literature for estimating the optimal dose based on the maximum likelihood estimation. We show that these procedures are inefficient for estimating the optimal dose.eng
dc.identifier.merlinb55844303eng
dc.identifier.urihttps://hdl.handle.net/10355/4083
dc.identifier.urihttps://doi.org/10.32469/10355/4083eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.subject.lcshExperimental designeng
dc.titleOptimal designs for dose-finding in contingent response modelseng
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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