Abstract

When an intra-variety competition experiment is performed using an arrangement of plants and spaces on a regular lattice of sites, it is desirable for some purposes for the design to be balanced. That is, equal numbers of plants are immediately surrounded by equal numbers of each of the possible numbers of spaces. For an equilateral triangular lattice this can be 0, 1, ...... 6 spaces, defining seven ‘treatments’ that can be applied to a plant. A set of nineteen distinct binary strings is presented, any of which can be used to generate an efficient balanced design which is easy to implement.

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