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dc.contributor.authorBaran, Gary Stevenen
dc.date.accessioned2014-03-14T21:08:59Zen
dc.date.available2014-03-14T21:08:59Zen
dc.date.issued1992-09-08en
dc.identifier.otheretd-02012006-141729en
dc.identifier.urihttp://hdl.handle.net/10919/37246en
dc.description.abstractUnder heterogeneous variance, conventional optimal response surface experimental designs for estimating location models are no longer optimal. To address this deficiency. D and Q criteria appropriate under heterogeneous variance are developed. These criteria are then applied to demonstrate the improved efficiency of a proposed two-stage experimental design procedure. In the proposed procedure the first stage estimates the heterogeneous variance structure and the second stage augments the first stage to produce a total design that is Q or D-optimal for the estimated variance structure. The Q and 0 criteria not only direct the total design, but also suggest optimal designs for estimating dispersion effects in the first stage. The efficiency of the proposed two-stage procedure is further enhanced if certain mild assumptions concerning variance structure are valid. These assumptions are formulated as a prior distribution and effectively stabilize the variance estimation in the first stage through a Bayes estimator.en
dc.format.extentix, 116 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.isformatofOCLC# 27379460en
dc.relation.haspartLD5655.V856_1992.B373.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1992.B373en
dc.subject.lcshResponse surfaces (Statistics)en
dc.titleA two-stage experimental design procedure under dispersion effectsen
dc.typeDissertationen
dc.contributor.departmentStatisticsen
dc.description.degreePh. D.en
thesis.degree.namePh. D.en
thesis.degree.leveldoctoralen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.disciplineStatisticsen
dc.contributor.committeechairMyers, Raymond H.en
dc.contributor.committeememberFoutz, Roberten
dc.contributor.committeememberSmith, Eric P.en
dc.contributor.committeememberReynolds, Marion R. Jr.en
dc.contributor.committeememberTerrell, George R.en
dc.type.dcmitypeTexten
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02012006-141729/en
dc.date.sdate2006-02-01en
dc.date.rdate2006-02-01en
dc.date.adate2006-02-01en


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