Show simple item record

Files in this item


Item metadata

dc.contributor.authorAldred, R. E. L.
dc.contributor.authorBailey, R. A.
dc.contributor.authorMckay, Brendan D.
dc.contributor.authorWanless, Ian M.
dc.identifier.citationAldred , R E L , Bailey , R A , Mckay , B D & Wanless , I M 2014 , ' Circular designs balanced for neighbours at distances one and two ' Biometrika , vol 101 , no. 4 , pp. 943-956 .en
dc.identifier.otherPURE: 161200191
dc.identifier.otherWOS: 000345827900013
dc.descriptionDate of Acceptance: 23/05/2014en
dc.description.abstractWe define three types of neighbour-balanced designs for experiments where the units are arranged in a circle or single line in space or time. The designs are balanced with respect to neighbours at distance one and at distance two. The variants come from allowing or forbidding self-neighbours, and from considering neighbours to be directed or undirected. For two of the variants, we give a method of constructing a design for all values of the number of treatments, except for some small values where it is impossible. In the third case, we give a partial solution that covers all sizes likely to be used in practice.en
dc.rightsCopyright 2014. Biometrika Trust. This is a pre-copyedited, author-produced PDF of an article accepted for publication in Biometrika following peer review. The version of record Circular designs balanced for neighbours at distances one and two Aldred, R. E. L., Bailey, R. A., Mckay, B. D. & Wanless, I. M. Dec 2014 In : Biometrika. 101, 4, p. 943-956 is available online at:
dc.subjectBorder ploten
dc.subjectCircular designen
dc.subjectEulerian trailen
dc.subjectLatin squareen
dc.subjectNeighbour designen
dc.subjectPerfect cycle systemen
dc.subjectUniversal sequenceen
dc.subjectLatin squaresen
dc.subjectHA Statisticsen
dc.subjectQA Mathematicsen
dc.titleCircular designs balanced for neighbours at distances one and twoen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Statisticsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.description.statusPeer revieweden

This item appears in the following Collection(s)

Show simple item record