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Article: Majorization framework for balanced lattice designs

TitleMajorization framework for balanced lattice designs
Authors
KeywordsDiscrepancy
Fractional factorial design
Majorization
Uniform design
Supersaturated design
Separable convex
Minimum aberration
Admissible
Issue Date2005
Citation
Annals of Statistics, 2005, v. 33, n. 6, p. 2837-2853 How to Cite?
AbstractThis paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out. © Institute of Mathematical Statistics, 2005.
Persistent Identifierhttp://hdl.handle.net/10722/230761
ISSN
2015 Impact Factor: 2.78
2015 SCImago Journal Rankings: 6.653

 

DC FieldValueLanguage
dc.contributor.authorZhang, Aijun-
dc.contributor.authorFang, Kai Tai-
dc.contributor.authorLi, Runze-
dc.contributor.authorSudjianto, Agus-
dc.date.accessioned2016-09-01T06:06:44Z-
dc.date.available2016-09-01T06:06:44Z-
dc.date.issued2005-
dc.identifier.citationAnnals of Statistics, 2005, v. 33, n. 6, p. 2837-2853-
dc.identifier.issn0090-5364-
dc.identifier.urihttp://hdl.handle.net/10722/230761-
dc.description.abstractThis paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out. © Institute of Mathematical Statistics, 2005.-
dc.languageeng-
dc.relation.ispartofAnnals of Statistics-
dc.subjectDiscrepancy-
dc.subjectFractional factorial design-
dc.subjectMajorization-
dc.subjectUniform design-
dc.subjectSupersaturated design-
dc.subjectSeparable convex-
dc.subjectMinimum aberration-
dc.subjectAdmissible-
dc.titleMajorization framework for balanced lattice designs-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1214/009053605000000679-
dc.identifier.scopuseid_2-s2.0-33644910408-
dc.identifier.volume33-
dc.identifier.issue6-
dc.identifier.spage2837-
dc.identifier.epage2853-

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