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Article: Optimal designs for an additive quadratic mixture model involving the amount of mixture

TitleOptimal designs for an additive quadratic mixture model involving the amount of mixture
Authors
Zhang, CQChan, LYGuan, YNLi, KHLau, TS
KeywordsA-optimal design
Additive model
D-optimal design
Experiments with mixtures
Mixture amount
Issue Date2005
PublisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/
Citation
Statistica Sinica, 2005, v. 15 n. 1, p. 165-176 How to Cite?
AbstractThis paper is concerned with D- and A-optimal designs for a quadratic additive model for experiments with mixtures, in which the response depends not only on the relative proportions but also on the actual amounts of the mixture components. It is found that the origin and vertices of the simplex are support points of these optimal designs, and when the number of mixture components increases, other support points shift gradually from barycentres of depth 1 to barycentres of higher depths. It is shown that the D-optimal designs have high efficiency in terms of A-optimality, and vice versa.
Persistent Identifierhttp://hdl.handle.net/10722/44874
ISSN
1017-0405
2021 Impact Factor: 1.330
2020 SCImago Journal Rankings: 1.240
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, CQen_HK
dc.contributor.authorChan, LYen_HK
dc.contributor.authorGuan, YNen_HK
dc.contributor.authorLi, KHen_HK
dc.contributor.authorLau, TSen_HK
dc.date.accessioned2007-10-30T06:12:13Z-
dc.date.available2007-10-30T06:12:13Z-
dc.date.issued2005en_HK
dc.identifier.citationStatistica Sinica, 2005, v. 15 n. 1, p. 165-176en_HK
dc.identifier.issn1017-0405en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44874-
dc.description.abstractThis paper is concerned with D- and A-optimal designs for a quadratic additive model for experiments with mixtures, in which the response depends not only on the relative proportions but also on the actual amounts of the mixture components. It is found that the origin and vertices of the simplex are support points of these optimal designs, and when the number of mixture components increases, other support points shift gradually from barycentres of depth 1 to barycentres of higher depths. It is shown that the D-optimal designs have high efficiency in terms of A-optimality, and vice versa.en_HK
dc.format.extent144424 bytes-
dc.format.extent28160 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/en_HK
dc.relation.ispartofStatistica Sinicaen_HK
dc.subjectA-optimal designen_HK
dc.subjectAdditive modelen_HK
dc.subjectD-optimal designen_HK
dc.subjectExperiments with mixturesen_HK
dc.subjectMixture amounten_HK
dc.titleOptimal designs for an additive quadratic mixture model involving the amount of mixtureen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1017-0405&volume=15&issue=1&spage=165&epage=176&date=2004&atitle=Optimal+designs+for+an+additive+quadratic+mixture+model+involving+the+amount+of+mixtureen_HK
dc.identifier.emailChan, LY: plychan@hku.hken_HK
dc.identifier.authorityChan, LY=rp00093en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.scopuseid_2-s2.0-17244381355en_HK
dc.identifier.hkuros86013-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-17244381355&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume15en_HK
dc.identifier.issue1en_HK
dc.identifier.spage165en_HK
dc.identifier.epage176en_HK
dc.publisher.placeTaiwan, Republic of Chinaen_HK
dc.identifier.scopusauthoridZhang, CQ=35212374200en_HK
dc.identifier.scopusauthoridChan, LY=7403540482en_HK
dc.identifier.scopusauthoridGuan, YN=7202924075en_HK
dc.identifier.scopusauthoridLi, KH=35210512400en_HK
dc.identifier.scopusauthoridLau, TS=7102222359en_HK
dc.identifier.issnl1017-0405-

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