Substitutes for the non-existent square lattice designs for 36 varieties
Abstract
Square lattice designs are often used in trials of new varieties of various agricultural crops. However, there are no square lattice designs for 36 varieties in blocks of size six for four or more replicates. Here, we use three different approaches to construct designs for up to eight replicates. All the designs perform well in terms of giving a low average variance of variety contrasts.
Citation
Bailey , R A , Cameron , P J , Soicher , L H & Williams , E R 2020 , ' Substitutes for the non-existent square lattice designs for 36 varieties ' , Journal of Agricultural, Biological and Environmental Statistics , vol. 25 , no. 4 , pp. 487-499 . https://doi.org/10.1007/s13253-020-00388-1
Publication
Journal of Agricultural, Biological and Environmental Statistics
Status
Peer reviewed
ISSN
1085-7117Type
Journal article
Rights
Copyright © 2020 the Author(s). 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/.
Description
Funding: UK EPSRC grant EP/M022641/1 (CoDiMa: a Collaborative Computational Project in the area of Computational Discrete Mathematics).Collections
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