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Comparing methods for design follow‐up: revisiting a metal‐cutting case study
Authors:David J Edwards  Maria L Weese  Gregory A Palmer
Institution:1. Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA 23284, USA;2. Department of Information Systems and Analytics, Miami University, Oxford, OH 45056, USA
Abstract:Adding another fraction to an initial fractional factorial design is often required to resolve ambiguities with respect to aliasing of factorial effects from the initial experiment and/or to improve estimation precision. Multiple techniques for design follow‐up exist; the choice of which is often made on the basis of the initial design and its analysis, resources available, experimental objectives, and so on. In this paper, we compare four design follow‐up strategies: foldover, semifoldover, D‐optimal, and Bayesian (MD‐optimal) in the context of a metal‐cutting case study previously utilized to compare fractional factorials of different run sizes. Follow‐up designs are compared for each of a urn:x-wiley:15241904:media:asmb1988:asmb1988-math-0001, urn:x-wiley:15241904:media:asmb1988:asmb1988-math-0002, and Plackett–Burman initial experiments. Our empirical results suggest that a single follow‐up strategy does not outperform all others in every situation. This case study serves to illustrate design augmentation possibilities for practitioners and provides some basis for the selection of a follow‐up experiment. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:D‐optimal augmentation  foldover  fractional factorial  MD‐optimal  Plackett–  Burman design  model posterior probability  semifoldover
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