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Article: Optimal orthogonal block designs for a quadratic mixture model for three components

TitleOptimal orthogonal block designs for a quadratic mixture model for three components
Authors
Issue Date1999
PublisherRoutledge. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/02664763.asp
Citation
Journal of Applied Statistics, 1999, v. 26 n. 1, p. 19-34 How to Cite?
AbstractIn experiments with mixtures that involve process variables, if the response function is expressed as the sum of a function of mixture components and a function of process variables, then the parameters in the mixture part and in the process part can be estimated independently using orthogonal block designs. This paper is concerned with such a block design for parameter estimation in the mixture part of a quadratic mixture model for three mixture components. The behaviour of the eigenvalues of the moment matrix of the design is investigated in detail, the design is optimized according to E- and Aoptimality criteria, and the results are compared together with a known result on Doptimality. It is found that this block design is robust with respect to these diff erent optimality criteria against the shifting of experimental points. As a result, we recommend experimental points of the form (a, b, c) in the simplex S2, where c=0, b=1-a, and a can be any value in the range 0.17+/-0.02.
Persistent Identifierhttp://hdl.handle.net/10722/74393
ISSN
2015 Impact Factor: 0.419
2015 SCImago Journal Rankings: 0.501

 

DC FieldValueLanguage
dc.contributor.authorChan, PLY-
dc.date.accessioned2010-09-06T07:00:53Z-
dc.date.available2010-09-06T07:00:53Z-
dc.date.issued1999-
dc.identifier.citationJournal of Applied Statistics, 1999, v. 26 n. 1, p. 19-34-
dc.identifier.issn0266-4763-
dc.identifier.urihttp://hdl.handle.net/10722/74393-
dc.description.abstractIn experiments with mixtures that involve process variables, if the response function is expressed as the sum of a function of mixture components and a function of process variables, then the parameters in the mixture part and in the process part can be estimated independently using orthogonal block designs. This paper is concerned with such a block design for parameter estimation in the mixture part of a quadratic mixture model for three mixture components. The behaviour of the eigenvalues of the moment matrix of the design is investigated in detail, the design is optimized according to E- and Aoptimality criteria, and the results are compared together with a known result on Doptimality. It is found that this block design is robust with respect to these diff erent optimality criteria against the shifting of experimental points. As a result, we recommend experimental points of the form (a, b, c) in the simplex S2, where c=0, b=1-a, and a can be any value in the range 0.17+/-0.02.-
dc.languageeng-
dc.publisherRoutledge. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/02664763.asp-
dc.relation.ispartofJournal of Applied Statistics-
dc.rightsPreprint: This is an Author's Original Manuscript of an article published by Taylor & Francis Group in [JOURNAL TITLE] on [date of publication], available online: http://www.tandfonline.com/doi/abs/[Article DOI]. Postprint: This is an Accepted Manuscript of an article published by Taylor & Francis Group in [JOURNAL TITLE] on [date of publication], available online at: http://www.tandfonline.com/doi/abs/[Article DOI].-
dc.titleOptimal orthogonal block designs for a quadratic mixture model for three components-
dc.typeArticle-
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0266-4763&volume=26&issue=1&spage=19&epage=34&date=1999&atitle=A-+and+E-optimal+orthogonal+block+designs+for+a+quadratic+mixture+model+for+three+componentsen_HK
dc.identifier.emailChan, PLY: plychan@hku.hk-
dc.identifier.authorityChan, PLY=rp00093-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1080/02664769922629-
dc.identifier.hkuros46726-
dc.identifier.volume26-
dc.identifier.issue1-
dc.identifier.spage19-
dc.identifier.epage34-
dc.publisher.placeUnited Kingdom-

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