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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.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 | PURE: 268543458 | |
dc.identifier.other | PURE UUID: 9f647a91-533b-4d08-9245-5676f0383a9a | |
dc.identifier.other | ORCID: /0000-0002-8990-2099/work/77893745 | |
dc.identifier.other | Scopus: 85087692516 | |
dc.identifier.other | WOS: 000551908600001 | |
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.language.iso | eng | |
dc.relation.ispartof | Journal of Statistical Theory and Practice | en |
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 http://creativecommons.org/licenses/by/4.0/. | 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.description.version | Publisher PDF | 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 |
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