Statistical modeling for experiments with sliding levels

Details Statistical modeling for experiments with sliding levels Statistical modeling for experiments with sliding levels

2007-02-28

arxiv.org/abs/math/0702862v1

IMS Lecture Notes Monograph Series 2006, Vol. 52, 245-256

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/074921706000001085 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/p

Scientific paper

10.1214/074921706000001085

Design of experiment with related factors can be implemented by using the technique of sliding levels. Taguchi (1987) proposed an analysis strategy by re-centering and re-scaling the slid factors. Hamada and Wu (1995) showed via counter examples 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 both methods when the objective 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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