Construction of Five Level Second Order Rotatable Designs Using Supplementary Difference Sets

Statistical Measure of Second Order Response Surface Rotatability Using an Infinite Class of Supplementary Difference Sets

“…Koukouvinos et al [2] gave a general construction method for five level second order rotatable designs. Further research was done by Mutiso, Kerich and Ng'eno [3,4] where they constructed five level rotatable designs using an infinite class of supplementary difference sets. Park et al [5,6] developed a measure of rotatability that is invariant under rotation and Ng'eno [7] developed a measure of modified rotatability using an infinite class of supplementary difference sets by fixing c=5.…”

“…They introduced the analogous form of Box Hunter rotatability and termed it as slope rotatability. Harder and Park [4] and Park [9] stated that the necessary and sufficient condition for slope rotatability is 4V( ) = ( ). The condition was simplified by Victorbabu and Narasimham [10] and they developed equation (1.4) below which is the necessary and sufficient condition for a 2 nd order design to be slope rotatable…”