Substitutes for the Non-existent Square Lattice Designs for 36 Varieties

R. A. Bailey; Peter J. Cameron; L. H. Soicher; E. R. Williams

doi:10.1007/s13253-020-00388-1

Substitutes for the Non-existent Square Lattice Designs for 36 Varieties

R. A. Bailey^*, Peter J. Cameron, L. H. Soicher, E. R. Williams

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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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. Supplementary materials accompanying this paper appear online.

Original language	English
Pages (from-to)	487-499
Number of pages	13
Journal	Journal of Agricultural, Biological, and Environmental Statistics
Volume	25
Issue number	4
DOIs	https://doi.org/10.1007/s13253-020-00388-1
Publication status	Published - 1 Dec 2020

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Substitutes for the Non-existent Square Lattice Designs for 36 Varieties

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