Abstract

Two dimensional designs for blocksize (ν/2) × 2 and an even number ν of treatments, which are neighbor balanced and which have an additional property on the design formed by the corner plots, are studied. Efficiency lower bounds for these resolvable row-column designs are obtained under two different error covariance structures: the doubly geometric, for which the correlations decay rapidly, and the autonormal, which exhibits a slower rate of decay. Two infinite series of the designs are constructed.

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