On Robust Designs

Abstract

Box and Draper (1975) proposed a criterion of robustness against the presence of wild observations for the problem of estimation of Xβ in the response surface model E(Y) = Xβ, D(Y) = σ².I. Gopalau and Dey (1976) elttended this concept to block designs setting, for the problem of estimation of σ². In the present note an attempt has been made to examine the robustness of block designs for the problem of estimation of any full set of orthonormal varietal contrasts.