Summary
Polycross designs for n clones in n2 replicates, composed of n n×n squares, are presented, n being any positive integer. The method depends on whether n is odd or even, and for even n the squares are Latin. In either case, each clone has every other clone as a nearest neighbor exactly n times in each of the four primary directions (N, S, E, W) and n−2 times in each of the four intermediate directions (NE, SE, SW, NW). Also, each clone has itself as nearest neighbor n−1 times in each intermediate direction.
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References
Freeman, G.H., 1967. The use of cyclic balanced incomplete block designs for directional seed orchards. Biometrics 23: 761–778.
Morgan, J.P., 1988. Balanced polycross designs. Journal of the Royal Statistical Society B, to appear.
Olesen, K., 1976. A completely balanced polycross design. Euphytica 25: 485–488.
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Morgan, J.P. Polycross designs with complete neighbor balance. Euphytica 39, 59–63 (1988). https://doi.org/10.1007/BF00025112
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DOI: https://doi.org/10.1007/BF00025112