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Optimality of neighbor-balanced designs for total effects. (English) Zbl 1045.62074
Summary: The purpose of this paper is to study optimality of circular neighbor-balanced block designs when neighbor effects are present in the model. In the literature many optimality results are established for direct effects and neighbor effects separately, but few for total effects, that is, the sum of direct effects of treatments and relevant neighbor effects. We show that circular neighbor-balanced designs are universally optimal for total effects among designs with no self neighbor. Then we give efficiency factors of these designs, and show some situations where a design with self neighbors is preferable to a neighbor-balanced design.

MSC:
62K05 Optimal statistical designs
62K10 Statistical block designs
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