Benefits and Fast Construction of Efficient Two-Level Foldover Designs

Citation data:

Technometrics, ISSN: 0040-1706, Vol: 59, Issue: 1, Page: 48-57

Publication Year:
2017
Usage 45
Abstract Views 41
Link-outs 4
Citations 2
Citation Indexes 2
DOI:
10.1080/00401706.2015.1124052
Author(s):
Anna Errore, Bradley Jones, William Li, Christopher J. Nachtsheim
Publisher(s):
Informa UK Limited
Tags:
Mathematics
article description
Recent work in two-level screening experiments has demonstrated the advantages of using small foldover designs, even when such designs are not orthogonal for the estimation of main effects (MEs). In this article, we provide further support for this argument and develop a fast algorithm for constructing efficient two-level foldover (EFD) designs. We show that these designs have equal or greater efficiency for estimating the ME model versus competitive designs in the literature and that our algorithmic approach allows the fast construction of designs with many more factors and/or runs. Our compromise algorithm allows the practitioner to choose among many designs making a trade-off between efficiency of the main effect estimates and correlation of the two-factor interactions (2FIs). Using our compromise approach, practitioners can decide just how much efficiency they are willing to sacrifice to avoid confounded 2FIs as well as lowering an omnibus measure of correlation among the 2FIs.

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