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Bootstrap Confidence Regions for Optimal Operating Conditions in Response Surface Methodology

Authors
  • Gibb, Roger D.
  • Lu, I-Li
  • Carter, Walter H.
Type
Preprint
Publication Date
Nov 13, 2007
Submission Date
Nov 13, 2007
Source
arXiv
License
Unknown
External links

Abstract

This article concerns the application of bootstrap methodology to construct a likelihood-based confidence region for operating conditions associated with the maximum of a response surface constrained to a specified region. Unlike classical methods based on the stationary point, proper interpretation of this confidence region does not depend on unknown model parameters. In addition, the methodology does not require the assumption of normally distributed errors. The approach is demonstrated for concave-down and saddle system cases in two dimensions. Simulation studies were performed to assess the coverage probability of these regions.

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