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dc.contributor.authorLin, Hefangen_US
dc.date.accessioned2014-03-14T20:21:03Z
dc.date.available2014-03-14T20:21:03Z
dc.date.issued1999-12-09en_US
dc.identifier.otheretd-122199-103554en_US
dc.identifier.urihttp://hdl.handle.net/10919/30224
dc.description.abstractIn this research, Bayesian two-stage D-D optimal designs for mixture experiments with or without process variables under model uncertainty are developed. A Bayesian optimality criterion is used in the first stage to minimize the determinant of the posterior variances of the parameters. The second stage design is then generated according to an optimality procedure that collaborates with the improved model from first stage data. Our results show that the Bayesian two-stage D-D optimal design is more efficient than both the Bayesian one-stage D-optimal design and the non-Bayesian one-stage D-optimal design in most cases. We also use simulations to investigate the ratio between the sample sizes for two stages and to observe least sample size for the first stage. On the other hand, we discuss D-optimal second or higher order designs, and show that Ds-optimal designs are a reasonable alternative to D-optimal designs.en_US
dc.publisherVirginia Techen_US
dc.relation.haspartDiss.pdfen_US
dc.rightsI hereby grant to Virginia Tech or its agents the right to archive and to make available my thesis or dissertation in whole or in part in the University Libraries in all forms of media, now or hereafter known. I retain all proprietary rights, such as patent rights. I also retain the right to use in future works (such as articles or books) all or part of this thesis or dissertation.en_US
dc.subjectOptimalityen_US
dc.subjectProcess Variablesen_US
dc.subjectMixture Experimentsen_US
dc.subjectTwo-Stageen_US
dc.subjectBayesianen_US
dc.titleOne-Stage and Bayesian Two-Stage Optimal Designs for Mixture Modelsen_US
dc.typeDissertationen_US
dc.contributor.departmentStatisticsen_US
dc.description.degreePh. D.en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineStatisticsen_US
dc.contributor.committeememberFoutz, Roberten_US
dc.contributor.committeememberAnderson-Cook, Christine M.en_US
dc.contributor.committeememberReynolds, Marion R. Jr.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-122199-103554/en_US
dc.contributor.committeecochairYe, Keyingen_US
dc.contributor.committeecochairMyers, Raymond H.en_US
dc.date.sdate1999-12-21en_US
dc.date.rdate2000-12-31
dc.date.adate1999-12-31en_US


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