A two-stage experimental design procedure under dispersion effects

dc.contributor.authorBaran, Gary Stevenen
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.contributor.departmentStatisticsen
dc.date.accessioned2014-03-14T21:08:59Zen
dc.date.adate2006-02-01en
dc.date.available2014-03-14T21:08:59Zen
dc.date.issued1992-09-08en
dc.date.rdate2006-02-01en
dc.date.sdate2006-02-01en
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.description.degreePh. D.en
dc.format.extentix, 116 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-02012006-141729en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-02012006-141729/en
dc.identifier.urihttp://hdl.handle.net/10919/37246en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1992.B373.pdfen
dc.relation.isformatofOCLC# 27379460en
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.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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