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Designs for half-diallel experiments with commutative orthogonal block structure
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dc.contributor.author | Bailey, R. A. | |
dc.contributor.author | Cameron, Peter J. | |
dc.contributor.author | Ferreira, Dario | |
dc.contributor.author | Ferreira, Sandra S. | |
dc.contributor.author | Nunes, Celia | |
dc.date.accessioned | 2024-01-04T11:30:06Z | |
dc.date.available | 2024-01-04T11:30:06Z | |
dc.date.issued | 2024-07-01 | |
dc.identifier | 296796640 | |
dc.identifier | 53f20211-38e5-43e7-8588-fe2305eea151 | |
dc.identifier | 85181014962 | |
dc.identifier.citation | Bailey , R A , Cameron , P J , Ferreira , D , Ferreira , S S & Nunes , C 2024 , ' Designs for half-diallel experiments with commutative orthogonal block structure ' , Journal of Statistical Planning and Inference , vol. 231 , 106139 . https://doi.org/10.1016/j.jspi.2023.106139 | en |
dc.identifier.issn | 0378-3758 | |
dc.identifier.other | ORCID: /0000-0003-3130-9505/work/150109268 | |
dc.identifier.other | ORCID: /0000-0002-8990-2099/work/150109853 | |
dc.identifier.uri | https://hdl.handle.net/10023/28958 | |
dc.description | Funding: This work was partially supported by national funds of the Portuguese FCT-Foundation for Science and Technology under grant UIDB/00212/2020. | en |
dc.description.abstract | In some experiments, the experimental units are all pairs of individuals who have to undertake a given task together. The set of such pairs forms a triangular association scheme. Appropriate randomization then gives two non-trivial strata. The design is said to have commutative orthogonal block structure (COBS) if the best linear unbiased estimators of treatment contrasts do not depend on the stratum variances. There are precisely three ways in which such a design can have COBS. We give a complete description of designs for which all treatment contrasts are in the same stratum. Then we give a very general construction for designs with COBS which have some treatment contrasts in each stratum. | |
dc.format.extent | 14 | |
dc.format.extent | 745376 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Statistical Planning and Inference | en |
dc.subject | Half-diallel experiments | en |
dc.subject | Commutative orthogonal block structure | en |
dc.subject | Linear model | en |
dc.subject | Triangular association scheme | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Designs for half-diallel experiments with commutative orthogonal block structure | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.contributor.institution | University of St Andrews. Statistics | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1016/j.jspi.2023.106139 | |
dc.description.status | Peer reviewed | en |
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