Files in this item
Balanced semi-Latin rectangles : properties, existence and constructions for block size two
Item metadata
dc.contributor.author | Uto, Nseobong Peter | |
dc.contributor.author | Bailey, R. A. | |
dc.date.accessioned | 2020-07-23T14:30:11Z | |
dc.date.available | 2020-07-23T14:30:11Z | |
dc.date.issued | 2020-09 | |
dc.identifier | 268543458 | |
dc.identifier | 9f647a91-533b-4d08-9245-5676f0383a9a | |
dc.identifier | 85087692516 | |
dc.identifier | 000551908600001 | |
dc.identifier.citation | Uto , 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. 14 , no. 3 , 51 . https://doi.org/10.1007/s42519-020-00118-3 | en |
dc.identifier.issn | 1559-8608 | |
dc.identifier.other | ORCID: /0000-0002-8990-2099/work/77893745 | |
dc.identifier.uri | https://hdl.handle.net/10023/20323 | |
dc.description.abstract | There 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.format.extent | 11 | |
dc.format.extent | 1153000 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Statistical Theory and Practice | en |
dc.subject | Balanced incomplete block design (BIBD) | en |
dc.subject | Balanced semi-Latin rectangle (BSLR) | en |
dc.subject | Optimal design | en |
dc.subject | Quotient block design (QBD) | en |
dc.subject | Regular-graph design (RGD) | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Balanced semi-Latin rectangles : properties, existence and constructions for block size two | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Statistics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1007/s42519-020-00118-3 | |
dc.description.status | Peer reviewed | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.