JSM 2005 - Toronto

Abstract #302941

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Activity Number: 125
Type: Topic Contributed
Date/Time: Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Quality and Productivity
Abstract - #302941
Title: Exact Inference for Response Surface Designs within a Split-plot Structure
Author(s): Scott Kowalski*+ and G. Geoffrey Vining
Companies: Minitab, Inc. and Virginia Polytechnic Institute and State University
Address: Quality Plaza, State College, PA, 16801-3008,
Keywords: Split-Plot ; Response Surface ; Central Composite Design
Abstract:

Many industrial experiments involve both hard-to-change and easy-to-change factors, which leads naturally to split-plot experiments. Unfortunately, the literature for second-order response surface designs traditionally assumes a completely randomized design. Vining, Kowalski, and Montgomery (2005) outline the general conditions for response surface experiments such that the ordinary least squares estimates of the model are equivalent to the generalized least squares estimates. This talk uses this result to derive conditions for exact tests of most of the model parameters. It then sets up Satterthwaite's procedure for the other parameters.

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Revised March 2005