Abstract:
Rotatability is a desirable feature of a response surface experimental design. In case a design is non
rotatable or exhibit surface of constant prediction variances that are nearly spherical then an attempt is
made to make the design rotatable. In this paper, a measure of rotatability of five level second order
rotatable designs using an infinite class of supplementary difference sets is suggested. The variance
function of a second-order response design and an infinite class of supplementary difference sets is used
in coming up with the design.