Abstract #300608

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JSM 2002 Abstract #300608
Activity Number: 20
Type: Contributed
Date/Time: Sunday, August 11, 2002 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical & Engineering Sciences*
Abstract - #300608
Title: Ridge Analysis with Confidence Band in Multiresponse Optimization
Author(s): Rui Ding*+ and John Peterson and Dennis Lin
Affiliation(s): Pennsylvania State University and GlaxoSmithKline, Inc. and Pennsylvania State University
Address: 325 Thomas Building/University Park, State college, Pennsylvania, 16802, USA
Keywords: Confidence band; ; Response surface methodology ; Multiresponse optimization
Abstract:

Ridge analysis in the one-response setting has been discussed extensively, while it is not the case for multi-responses. The high dimensional nonlinear constrained optimization procedure involved in the usual methods may be too difficult to be implemented in practice. We will propose a new method based on desirability functions, which obtains a much simpler and closed form for constructing the confidence bands about the ridge trace, if certain conditions are satisfied. When these conditions are not satisfied, an ad hoc method is discussed.

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Revised March 2002