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, pages 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
References: View complete reference list from CitEc
Citations Track citations by RSS feed

Downloads: (external link)
http://www.tandfonline.com/doi/abs/10.1080/02664760120047924 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: http://EconPapers.repec.org/RePEc:taf:japsta:v:28:y:2001:i:5:p:597-602

Ordering information: This journal article can be ordered from
http://www.tandf.co.uk/journals/subscription.asp

Access Statistics for this article

Journal of Applied Statistics is edited by Professor Gopal K. Kanji

More articles in Journal of Applied Statistics from Taylor and Francis Journals
Series data maintained by Michael McNulty ().