Statistical Measure of Second Order Response Surface Rotatability Using an Infinite Class of Supplementary Difference Sets
Haron Mutai Ng’eno *
Department of Statistics and Computer Science, Moi Univerty, P.O.Box 3900-30100, Eldoret, Kenya.
Isaac Kipkosgei Tum
Department of Statistics and Computer Science, Moi Univerty, P.O.Box 3900-30100, Eldoret, Kenya.
*Author to whom correspondence should be addressed.
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.
Keywords: Response surface methodology, rotatable designs, second order designs, five leve, supplementary difference sets