Title page for ETD etd-08042006-075722


Type of Document Dissertation
Author Pickle, Stephanie M
URN etd-08042006-075722
Title Semiparametric Techniques for Response Surface Methodology
Degree PhD
Department Statistics
Advisory Committee
Advisor Name Title
Birch, Jeffrey B. Committee Chair
Robinson, Timothy J. Committee Co-Chair
Prins, Samantha C. Bates Committee Member
Spitzner, Dan J. Committee Member
Vining, G. Geoffrey Committee Member
Keywords
  • Genetic Algorithm
  • Response Surface Methodology
  • Semiparametric Regression
  • Robust Parameter Design
Date of Defense 2006-06-28
Availability unrestricted
Abstract
Many industrial statisticians employ the techniques of Response Surface Methodology (RSM) to study and optimize products and processes. A second-order Taylor series approximation is commonly utilized to model the data; however, parametric models are not always adequate. In these situations, any degree of model misspecification may result in serious bias of the estimated response. Nonparametric methods have been suggested as an alternative as they can capture structure in the data that a misspecified parametric model cannot. Yet nonparametric fits may be highly variable especially in small sample settings which are common in RSM. Therefore, semiparametric regression techniques are proposed for use in the RSM setting. These methods will be applied to an elementary RSM problem as well as the robust parameter design problem.
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