A note on the optimal number of centre runs in a second phase design of response surface methods

Yong Lim and B. S. So

Journal of Applied Statistics, 2001, vol. 28, issue 5, 597-602

Abstract: In searching for optimum conditions, the response surface methods comprise two phases. In the first phase, the method of the steepest ascent with a 2 k-p design is used in searching for a region of improved response. The curvature of the response surface is checked in the second phase. For testing the evidence of curvature, a reasonable design is a 2 k-p fractional factorial design augmented by centre runs. Using c-optimality criterion, the optimal number of centre runs is investigated. Incorporating c-efficiencies for the curvature test with D-efficiencies and G-efficiencies of CCDs for the quadratic response surfaces and then, adopting the Mini-Max principle, i.e. maximizing the worst efficiency, we propose robust centre runs with respect to the three optimality criteria to be chosen.

Date: 2001
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DOI: 10.1080/02664760120047924

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