On Construction of Some Families of Generalized Youden Designs

Abstract

Wald (1943) formulated criteria of optimality relative to experimental designs and proved that some known intuitively attractive designs are in fact optimal. Kiefer (1958), (1959), (1961), (1971) extended Wald's work on criteria of optimality and suggested some generalizations of experimental designs discussing their merits in respect to the formulated criteria. The purpose of this paper is to exhibit constructions of some families of Generalized Youden Designs (GYD) introduced by Kiefer. In his published work Kiefer gave some small examples of Generalized Youden Designs mainly for the purpose of illustrating the theory on criteria of optimality.