Abstract
We consider the following problem arising in agricultural statistics. Suppose that a large number of plants are set out on a regular grid, which may be triangular, square or hexagonal, and that among these plants, half are to be given one and half the other of two possible treatments. For the sake of statistical balance, we require also that, if one plant in every k plants has i of its immediate neighbours receiving the same treatment as itself, then k is constant over all possible values of i. Such arrays are constructed for the square grid, and special properties are considered which may simplify their application.
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References
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© 1979 Springer-Verlag
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Street, A.P., Macdonald, S.O. (1979). Balanced binary arrays I: The square grid. In: Horadam, A.F., Wallis, W.D. (eds) Combinatorial Mathematics VI. Lecture Notes in Mathematics, vol 748. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0102695
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DOI: https://doi.org/10.1007/BFb0102695
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