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Optimal incomplete-block designs with low replication : a unified approach using graphs

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dc.contributor.authorBailey, R. A.
dc.contributor.authorSajjad, Alia
dc.date.accessioned2021-11-09T11:30:05Z
dc.date.available2021-11-09T11:30:05Z
dc.date.issued2021-12
dc.identifier275870165
dc.identifierc77730af-1a9e-4975-b2c2-626e7976d0ac
dc.identifier85118689995
dc.identifier000715811900001
dc.identifier.citationBailey , R A & Sajjad , A 2021 , ' Optimal incomplete-block designs with low replication : a unified approach using graphs ' , Journal of Statistical Theory and Practice , vol. 15 , no. 4 , 84 . https://doi.org/10.1007/s42519-021-00215-xen
dc.identifier.issn1559-8608
dc.identifier.otherORCID: /0000-0002-8990-2099/work/103137826
dc.identifier.urihttps://hdl.handle.net/10023/24297
dc.description.abstractAn incomplete-block design defines both a concurrence graph and a Levi graph. Properties of either graph can be used to compare designs with respect to D-optimality and with respect to A-optimality. In this paper we show that optimality of the design implies strong conditions on connectivity properties of the graph, and use this to classify the optimal designs when the number of observational units is close to minimal.
dc.format.extent28
dc.format.extent861706
dc.language.isoeng
dc.relation.ispartofJournal of Statistical Theory and Practiceen
dc.subjectBlock designen
dc.subjectA-optimalityen
dc.subjectD-optimalityen
dc.subjectConcurrence graphen
dc.subjectLevi graphen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleOptimal incomplete-block designs with low replication : a unified approach using graphsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Statisticsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1007/s42519-021-00215-x
dc.description.statusPeer revieweden


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