Designs for half-diallel experiments with commutative orthogonal block structure
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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.
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
Journal of Statistical Planning and Inference
Copyright © 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
DescriptionFunding: This work was partially supported by national funds of the Portuguese FCT-Foundation for Science and Technology under grant UIDB/00212/2020.
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