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Substitutes for the non-existent square lattice designs for 36 varieties

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dc.contributor.authorBailey, R. A.
dc.contributor.authorCameron, Peter J.
dc.contributor.authorSoicher, L. H.
dc.contributor.authorWilliams, E. R.
dc.date.accessioned2020-03-09T15:30:06Z
dc.date.available2020-03-09T15:30:06Z
dc.date.issued2020-12
dc.identifier.citationBailey , R A , Cameron , P J , Soicher , L H & Williams , E R 2020 , ' Substitutes for the non-existent square lattice designs for 36 varieties ' , Journal of Agricultural, Biological and Environmental Statistics , vol. 25 , no. 4 , pp. 487-499 . https://doi.org/10.1007/s13253-020-00388-1en
dc.identifier.issn1085-7117
dc.identifier.otherPURE: 266392332
dc.identifier.otherPURE UUID: 61a7757e-ec7b-472d-a588-776950812da8
dc.identifier.otherORCID: /0000-0003-3130-9505/work/70233942
dc.identifier.otherORCID: /0000-0002-8990-2099/work/70233943
dc.identifier.otherScopus: 85081559985
dc.identifier.otherWOS: 000560968400001
dc.identifier.urihttps://hdl.handle.net/10023/19625
dc.descriptionFunding: UK EPSRC grant EP/M022641/1 (CoDiMa: a Collaborative Computational Project in the area of Computational Discrete Mathematics).en
dc.description.abstractSquare lattice designs are often used in trials of new varieties of various agricultural crops. However, there are no square lattice designs for 36 varieties in blocks of size six for four or more replicates. Here, we use three different approaches to construct designs for up to eight replicates. All the designs perform well in terms of giving a low average variance of variety contrasts.
dc.format.extent13
dc.language.isoeng
dc.relation.ispartofJournal of Agricultural, Biological and Environmental Statisticsen
dc.rightsCopyright © 2020 the Author(s). 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 http://creativecommons.org/licenses/by/4.0/.en
dc.subjectA-optimalityen
dc.subjectComputer searchen
dc.subjectResolvable block designsen
dc.subjectSemi-Latin squaresen
dc.subjectSylvester graphen
dc.subjectQA Mathematicsen
dc.subjectDASen
dc.subject.lccQAen
dc.titleSubstitutes for the non-existent square lattice designs for 36 varietiesen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
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.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1007/s13253-020-00388-1
dc.description.statusPeer revieweden
dc.identifier.urlhttps://link.springer.com/article/10.1007%2Fs13253-020-00388-1#Sec12en
dc.identifier.grantnumberEP/M022641/1en


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