Abstract #301167

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JSM 2002 Abstract #301167
Activity Number: 180
Type: Contributed
Date/Time: Tuesday, August 13, 2002 : 8:30 AM to 10:20 AM
Sponsor: Section on Physical & Engineering Sciences*
Abstract - #301167
Title: Statistical Modeling for Experiments with Sliding Levels
Author(s): Shao-Wei Cheng*+ and Jeff Wu and Longcheen Huwang
Affiliation(s): Academia Sinica and University of Michigan and National Tsing Hua University
Address: , Taipei, , 115, Taiwan
Keywords:
Abstract:

Design of experiment with related factors can be implemented by using the technique of sliding levels. Taguchi proposed an analysis strategy by re-centering and re-scaling the slid factors. Hamada and Wu (1995) showed by a counter-example that in many cases the interactions cannot be completely eliminated by Taguchi's strategy. They proposed an alternative method in which the slid factors are modeled by nested effects. In this work, we show the inadequacy of either method when the objective of the experiment is response prediction. We propose an analysis method based on a response surface model, and demonstrate its superiority for prediction. We also study the relationships between these three modeling strategies.

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