Journal
BIOMETRICAL JOURNAL
Volume 60, Issue 6, Pages 1172-1189Publisher
WILEY
DOI: 10.1002/bimj.201800013
Keywords
average efficiency factor; comparative experiment; experimental design; gerechte designs; Latinization; t-Latinization; superblocks
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Row-column designs allow error control in field experiments by blocking in two dimensions. While this strategy can capture spatial heterogeneity aligned with blocks and account for effects due to the farming operations along rows and columns, it suffers from the occasional clustered occurrence of several replications of the same treatment. This property of classical row-column designs has hampered their more widespread use in practice. A further issue of practical importance is the degree of neighbor balance of a design, that is, the frequency of adjacencies of pairs of treatments. This paper proposes two design strategies to simultaneously optimize the evenness of spatial distribution of treatment replication as well as neighbor balance. Three examples are given to illustrate the proposed methods and demonstrate that both approaches yield comparable and satisfactory results.
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