Optimality of neighbor-balanced designs for total effects

Details Optimality of neighbor-balanced designs for total effects Optimality of neighbor-balanced designs for total effects

2004-10-05

arxiv.org/abs/math/0410089v1

Annals of Statistics 2004, Vol. 32, No. 4, 1650-1661

Mathematics

Statistics Theory

Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Statistics (http://www.imstat

Scientific paper

10.1214/009053604000000481

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 effect of treatment 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.

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