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dc.contributor.authorBailey, Rosemary Anne
dc.contributor.editorClaesson, Anders
dc.contributor.editorDukes, Mark
dc.contributor.editorKitaev, Sergey
dc.contributor.editorManlove, David
dc.contributor.editorMeeks, Kitty
dc.date.accessioned2018-01-02T00:32:50Z
dc.date.available2018-01-02T00:32:50Z
dc.date.issued2017
dc.identifier.citationBailey , R A 2017 , Relations among partitions . in A Claesson , M Dukes , S Kitaev , D Manlove & K Meeks (eds) , Surveys in Combinatorics 2017 . London Mathematical Society Lecture Note Series , vol. 440 , Cambridge University Press , Cambridge , pp. 1-86 . https://doi.org/10.1017/9781108332699.002en
dc.identifier.isbn9781108413138
dc.identifier.isbn9781108332699
dc.identifier.issn0076-0552
dc.identifier.otherPURE: 248865328
dc.identifier.otherPURE UUID: 229871d5-cf3d-4a0a-8e1f-3873af706be8
dc.identifier.otherORCID: /0000-0002-8990-2099/work/58015199
dc.identifier.otherWOS: 000456293600001
dc.identifier.urihttps://hdl.handle.net/10023/12407
dc.description.abstractCombinatorialists often consider a balanced incomplete-block design to consist of a set of points, a set of blocks, and an incidence relation between them which satisfies certain conditions. To a statistician, such a design is a set of experimental units with two partitions, one into blocks and the other into treatments: it is the relation between these two partitions which gives the design its properties. The most common binary relations between partitions that occur in statistics are refinement, orthogonality and balance. When there are more than two partitions, the binary relations may not suffice to give all the properties of the system. I shall survey work in this area, including designs such as double Youden rectangles.
dc.format.extent86
dc.language.isoeng
dc.publisherCambridge University Press
dc.relation.ispartofSurveys in Combinatorics 2017en
dc.relation.ispartofseriesLondon Mathematical Society Lecture Note Seriesen
dc.rightsCopyright © 2017, Cambridge University Press. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1017/9781108332699.002en
dc.subjectHA Statisticsen
dc.subjectQA Mathematicsen
dc.subject.lccHAen
dc.subject.lccQAen
dc.titleRelations among partitionsen
dc.typeBook itemen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Statisticsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1017/9781108332699.002
dc.description.statusPeer revieweden
dc.date.embargoedUntil2018-01-01


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