On the determination of optimal designs for an interference model

Abstract

This paper generalizes Kushner's (1997) method for finding optimal repeated measurements designs to optimal designs under an interference model. The model we assume is for a one-dimensional layout without guard plots and with different left and right neighbour effects. The resulting optimal designs may need many blocks or may not even exist as a finite design. The results give lower bounds for optimality criteria on finite designs, and the design structure can be used to suggest efficient small designs.