Journal of Statistics Applications & Probability


Neighbor balanced designs (NBDs) are used to balance the neighbor effects in the experiments where performance of a treatment is influenced with the treatments applied in its neighboring units. Among these designs, experimenters prefer minimal NBDs but minimal circular NBDs can be generated only for ν (number of treatments) odd. For v even, minimal partially neighbor balanced designs (PNBDs) may be considered as better alternates to the minimal NBDs. In this article, minimal circular PNBDs are constructed in which 3ν/2 unordered pairs of distinct treatments do not appear as neighbors.

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