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A note on the optimal number of centre runs in a second phase design of response surface methods
- A note on the optimal number of centre runs in a second phase design of response surface methods
- Lim, YB; So, BS
- Ewha Authors
- SCOPUS Author ID
- Issue Date
- Journal Title
- JOURNAL OF APPLIED STATISTICS
- vol. 28, no. 5, pp. 597 - 602
- CARFAX PUBLISHING
- SCIE; SCOPUS
- 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-efflciencies for the curvature test with D-efflciencies and G-efflciencies of CCDs for the quadratic response surfaces and then, adopting the Mini-Max principle, i.e. maximizing the worst efflciency, we propose robust centre runs with respect to the three optimality criteria to be chosen.
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