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Minimum aberration construction results for nonregular two-level fractional factorial designs

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  • Neil A. Butler

Abstract

Nonregular two-level fractional factorial designs are designs which cannot be specified in terms of a set of defining contrasts. The aliasing properties of nonregular designs can be compared by using a generalisation of the minimum aberration criterion called minimum G-sub-2-aberration. Until now, the only nontrivial designs that are known to have minimum G-sub-2-aberration are designs for n runs and m >= n - 5 factors. In this paper, a number of construction results are presented which allow minimum G-sub-2-aberration designs to be found for many of the cases with n = 16, 24, 32, 48, 64 and 96 runs and m >= n/2 - 2 factors. Copyright Biometrika Trust 2003, Oxford University Press.

Suggested Citation

  • Neil A. Butler, 2003. "Minimum aberration construction results for nonregular two-level fractional factorial designs," Biometrika, Biometrika Trust, vol. 90(4), pages 891-898, December.
    • Handle: RePEc:oup:biomet:v:90:y:2003:i:4:p:891-898
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    Cited by:

    1. Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
    2. Yang, Guijun & Butler, Neil A., 2007. "Nonregular two-level designs of resolution IV or more containing clear two-factor interactions," Statistics & Probability Letters, Elsevier, vol. 77(5), pages 566-575, March.
    3. VÁZQUEZ-ALCOCER, Alan & GOOS, Peter & SCHOEN, Eric D., 2016. "Two-level designs constructed by concatenating orthogonal arrays of strenght three," Working Papers 2016011, University of Antwerp, Faculty of Business and Economics.

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