Bootstrap Confidence Regions for Optimal Operating Conditions in Response Surface Methodology

Details Bootstrap Confidence Regions for Optimal Operating Conditions in Response Surface Methodology Bootstrap Confidence Regions for Optimal Operating Conditions in Response Surface Methodology

2007-11-13

arxiv.org/abs/0711.1930v1

Statistics

Methodology

Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics

Scientific paper

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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