Estimation of Residual Effects in Repeated Measurements Designs

Summary Under the standard model and using an approximate design theory approach, we give necessary and sufficient conditions for a repeated measurements design to be universally optimal for residual effects. In exact design theory, it is shown that symmetric optimal designs can be derived from a single linear equation. Examples of optimal designs, which can be obtained from these conditions, are given. Many of the existing optimal designs, together with new ones, can be obtained by this method. Bounds are given for computing the efficiencies of designs for estimating residual effects.