Substitutes for the non-existent square lattice designs for 36 varieties

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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)487-499
Number of pages13
JournalJournal of Agricultural, Biological and Environmental Statistics
Volume25
Issue number4
Early online date4 Mar 2020
DOIs
Publication statusPublished - Dec 2020

Keywords

  • A-optimality
  • Computer search
  • Resolvable block designs
  • Semi-Latin squares
  • Sylvester graph

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