Construction and optimality of affine-resolvable designs

Abstract

SUMMARY Affine-resolvable designs are constructed from orthogonal arrays and shown to be optimal among resolvable designs with respect to the usual criteria. Tables and text show how to construct such designs in up to seven replicates whenever the number of treatments properly divides the square of the block size. Data from experiments which use affine-resolvable designs can be simply analysed by using pseudofactors.