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Creating clear designs: a graph-based algorithm and a catalog of clear compromise plans

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  • Ulrike Grömping

Abstract

A graph-based algorithm is proposed for creating regular fractional factorial designs with two-level factors such that a pre-specified set of two-factor interactions is clear of aliasing with any main effects or two-factor interactions (clear design). The Clear Interactions Graph (CIG) used in the algorithm is unique for each design and different in nature from the well-known Taguchi linear graph. Based on published catalogs of two-level fractional factorials, enhanced by the CIG, a search algorithm finds an appropriate clear design or declares its non-existence. The approach is applied to the creation of a catalog of minimum aberration clear compromise plans, which is also of interest in its own right. [Supplementary materials are available for this article. Go to the publisher’s online edition of IIE Transactions for additional discussions on run times and implementation of the algorithm for larger designs.]

Suggested Citation

  • Ulrike Grömping, 2012. "Creating clear designs: a graph-based algorithm and a catalog of clear compromise plans," IISE Transactions, Taylor & Francis Journals, vol. 44(11), pages 988-1001.
    • Handle: RePEc:taf:uiiexx:v:44:y:2012:i:11:p:988-1001
    DOI: 10.1080/0740817X.2012.654848
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    Cited by:

    1. Grömping, Ulrike, 2014. "R Package FrF2 for Creating and Analyzing Fractional Factorial 2-Level Designs," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 56(i01).

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