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dc.contributor.authorBailey, R. A.
dc.contributor.authorCameron, Peter J.
dc.contributor.authorFerreira, Dario
dc.contributor.authorFerreira, Sandra S.
dc.contributor.authorNunes, Celia
dc.identifier.citationBailey , R A , Cameron , P J , Ferreira , D , Ferreira , S S & Nunes , C 2024 , ' Designs for half-diallel experiments with commutative orthogonal block structure ' , Journal of Statistical Planning and Inference , vol. 231 , 106139 .
dc.identifier.otherORCID: /0000-0003-3130-9505/work/150109268
dc.identifier.otherORCID: /0000-0002-8990-2099/work/150109853
dc.descriptionFunding: This work was partially supported by national funds of the Portuguese FCT-Foundation for Science and Technology under grant UIDB/00212/2020.en
dc.description.abstractIn some experiments, the experimental units are all pairs of individuals who have to undertake a given task together. The set of such pairs forms a triangular association scheme. Appropriate randomization then gives two non-trivial strata. The design is said to have commutative orthogonal block structure (COBS) if the best linear unbiased estimators of treatment contrasts do not depend on the stratum variances. There are precisely three ways in which such a design can have COBS. We give a complete description of designs for which all treatment contrasts are in the same stratum. Then we give a very general construction for designs with COBS which have some treatment contrasts in each stratum.
dc.relation.ispartofJournal of Statistical Planning and Inferenceen
dc.subjectHalf-diallel experimentsen
dc.subjectCommutative orthogonal block structureen
dc.subjectLinear modelen
dc.subjectTriangular association schemeen
dc.subjectQA Mathematicsen
dc.titleDesigns for half-diallel experiments with commutative orthogonal block structureen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.contributor.institutionUniversity of St Andrews. Statisticsen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.description.statusPeer revieweden

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