Switching-one-column follow-up experiments for Plackett-Burman designs

Soren Bisgaard and Murat Kulahci

Journal of Applied Statistics, 2001, vol. 28, issue 8, 943-949

Abstract: Industrial experiments are frequently performed sequentially using two-level fractional factorial designs. In this context, a common strategy for the design of follow-up experiments is to switch the signs in one column. It is well known that this strategy, when applied to two-level fractional factorial resolution III designs, will clear the main effect, for which the switch was performed, from any confounding with any other two-factor interactions and will also clear all the two-factor interactions between that factor and the other main effects from any confounding with other two-factor interactions. In this article, we extend this result and show that this strategy applies to any orthogonal two-level resolution III design and therefore specifically to any two-level Plackett- Burman design .

Date: 2001
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DOI: 10.1080/02664760120076625

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