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Article: A-optimal designs for an additive quadratic mixture model

TitleA-optimal designs for an additive quadratic mixture model
Authors
Chan, LYGuan, YNZhang, CQ
KeywordsA-optimal design
Additive model
Experiments with mixtures
Issue Date1998
PublisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/
Citation
Statistica Sinica, 1998, v. 8 n. 3, p. 979-990 How to Cite?
AbstractQuadratic models are widely used in the analysis of experiments involving mixtures. This paper gives A-optimal designs for an additive quadratic mixture model for q ≥ 3 mixture components. It is proved that in these A-optimal designs, vertices of the simplex S q-1 are support points, and other support points shift gradually from barycentres of depth 1 to barycentres of depth 3 as q increases. A-optimal designs with minimal support are also discussed.
Persistent Identifierhttp://hdl.handle.net/10722/44871
ISSN
1017-0405
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 1.368
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChan, LYen_HK
dc.contributor.authorGuan, YNen_HK
dc.contributor.authorZhang, CQen_HK
dc.date.accessioned2007-10-30T06:12:10Z-
dc.date.available2007-10-30T06:12:10Z-
dc.date.issued1998en_HK
dc.identifier.citationStatistica Sinica, 1998, v. 8 n. 3, p. 979-990en_HK
dc.identifier.issn1017-0405en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44871-
dc.description.abstractQuadratic models are widely used in the analysis of experiments involving mixtures. This paper gives A-optimal designs for an additive quadratic mixture model for q ≥ 3 mixture components. It is proved that in these A-optimal designs, vertices of the simplex S q-1 are support points, and other support points shift gradually from barycentres of depth 1 to barycentres of depth 3 as q increases. A-optimal designs with minimal support are also discussed.en_HK
dc.format.extent156208 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.subjectExperiments with mixturesen_HK
dc.titleA-optimal designs for an additive quadratic mixture modelen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1017-0405&volume=8&issue=3&spage=979&epage=990&date=1998&atitle=A-optimal+designs+for+an+additive+quadratic+mixture+modelen_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-s2.0-0032388539en_HK
dc.identifier.hkuros46718-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032388539&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume8en_HK
dc.identifier.issue3en_HK
dc.identifier.spage979en_HK
dc.identifier.epage990en_HK
dc.publisher.placeTaiwan, Republic of Chinaen_HK
dc.identifier.scopusauthoridChan, LY=7403540482en_HK
dc.identifier.scopusauthoridGuan, YN=7202924075en_HK
dc.identifier.scopusauthoridZhang, CQ=35212374200en_HK
dc.identifier.issnl1017-0405-

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