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Research Article Open access CC BY 4.0

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

Haron Mutai Ng’eno, Isaac Kipkosgei Tum

Asian Journal of Probability and Statistics · pp. 1–12 · Published 23 Jul 2019

10.9734/ajpas/2019/v4i330114

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.

Response surface methodology rotatable designs second order designs five leve supplementary difference sets

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