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dc.contributor.authorUto, Nseobong Peter
dc.contributor.authorBailey, R. A.
dc.identifier.citationUto , N P & Bailey , R A 2020 , ' Balanced semi-Latin rectangles : properties, existence and constructions for block size two ' , Journal of Statistical Theory and Practice , vol. First Online .
dc.identifier.otherPURE: 268543458
dc.identifier.otherPURE UUID: 9f647a91-533b-4d08-9245-5676f0383a9a
dc.identifier.otherORCID: /0000-0002-8990-2099/work/77893745
dc.identifier.otherScopus: 85087692516
dc.identifier.otherWOS: 000551908600001
dc.description.abstractThere exists a set of designs which form a subclass of semi-Latin rectangles. These designs, besides being semi-Latin rectangles, exhibit an additional property of balance; where no two distinct pairs of symbols (treatments) differ in their concurrences, that is, each pair of distinct treatments concur a constant number of times in the design. Such a design exists for a limited set of parameter combinations. We designate it a balanced semi-Latin rectangle (BSLR) and give some properties, and necessary conditions for its existence. Furthermore, algorithms for constructing the design for experimental situations where there are two treatments in each row-column intersection (block) are also given.
dc.relation.ispartofJournal of Statistical Theory and Practiceen
dc.rights© The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit
dc.subjectBalanced incomplete block design (BIBD)en
dc.subjectBalanced semi-Latin rectangle (BSLR)en
dc.subjectOptimal designen
dc.subjectQuotient block design (QBD)en
dc.subjectRegular-graph design (RGD)en
dc.subjectQA Mathematicsen
dc.titleBalanced semi-Latin rectangles : properties, existence and constructions for block size twoen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Statisticsen
dc.contributor.institutionUniversity of St Andrews.Centre for Interdisciplinary Research in Computational Algebraen
dc.description.statusPeer revieweden

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