Exact $D_S-efficient$ Designs for Quadratic Response Surface Model

Exact $D_{s}$-efficient designs for the precise estimation of all the coefficients of the quadratic terms are studied in a quadratic response surface model. Efficient exact designs are constructed for 2 q 5 w.r.t. $D_{s}$-optimaity criterion based on Pesotchinsky's(1975) and approximate $D_{s}$-optimal design given in Lim & Studden(1988) . Moreover, they seem to have reasonably good D-efficiencies. Similar idea could apply to q$\geq$6 cases.