SOME FAMILIES OF OPTIMAL AND EFFICIENT REPEATED MEASUREMENTS DESIGNS

Conditions that ensure simple information matrices for the estimation of direct and residual treatment effects under an additive, homoscedastic model are given. Examples of designs that satisfy these conditions are presented. For the number of periods not exceeding the number of treatments designs that satisfy the conditions are derived from orthogonal arrays of index unity. Their efficiency is considered and some of them, as well as some other designs, are shown to be universally optimal over certain subclasses of designs.