Group Divisible Second Order Rotatable Designs

Abstract

A b s tract The Group Divisible Rotatable (GDR) designs are the designs in which the factors get divided into g r o u p such that for the factors within group, the designe are rotatable. In the present paper we have obtained a wries of Group Divisible Second Order Rotatable designs, by decomposing the o-dimensional apace corresponding to u-factors under coneideration into three mutually orthogonal spaces. w e have given the least squares estimates of the parameters, the analy8is and construction of such designs.

First and second order rotatability of experimental designs, moment matrices, and information surfaces

“…292-295). For specific designs see, for example, Box and Carter (1959), Box and Draper (1959), Box and Behnken (1960a, b), Box and Hunter (1957), Draper (1960), Draper and Herzberg (1968), Herzberg (1967), Huda (1981), Nigam (1977), Nigam and Das (1966), Nigam and Dey (1970), Raghavarao (1963), andSingh (1979). In general, any specified rotatable matrix can be achieved by a design consisting of a combination of symmetric sets of design points on concentric spheres.…”