Abstract: Amongst resolvable incomplete block designs, affine resolvable designs are optimal in many conventional senses. However, different affine resolvable designs for the same numbers of treatments and replicates, and the same block size, can differ in how well they estimate elementary treatment contrasts. An aberration criterion is employed to distinguish the best of the affine resolvable designs for this task. Methods for constructing the best designs are detailed and an extensive online catalog is compiled.
Key words and phrases: Affine resolvable block design, design optimality, orthogonal array, pairwise variance aberration.