Some Two-Dimensional Designs Balanced for Nearest Neighbours

Abstract

Summary The construction of row and column designs balanced for nearest neighbours is given, the commonest practical application being to polycross designs for seed production. In some designs all plants may be used either as seed parents or as pollinators, but for others only the interior plants can be seed parents, the outside plants being pollinators only. Some small designs are given, but the construction of others could well require long computer searches. Latin squares of a special type known as complete Latin squares are particularly suitable.

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