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Systematic enumeration of two-level even-odd designs of strength 3

Author

Listed:
  • Eendebak, Pieter T.
  • Schoen, Eric D.
  • Vazquez, Alan R.
  • Goos, Peter

Abstract

The first dedicated algorithm to enumerate even-odd designs of strength 3 is presented. Such designs cannot be constructed by folding over smaller designs, but they may permit simultaneous estimation of many more two-factor interactions than designs that can be constructed by folding over. In the algorithm, enumeration is restricted to the computationally convenient class of designs with at least one nonzero correlation between a two-factor and a three-factor interaction contrast vector. All such designs with up to 56 runs, all those with 64 runs and up to 13 factors, and a specific subclass of those with 64 runs and more than 13 factors have been enumerated.1 The best ranked 64-run designs substantially improve on benchmark designs from the literature.

Suggested Citation

  • Eendebak, Pieter T. & Schoen, Eric D. & Vazquez, Alan R. & Goos, Peter, 2023. "Systematic enumeration of two-level even-odd designs of strength 3," Computational Statistics & Data Analysis, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:csdana:v:180:y:2023:i:c:s0167947322002584
    DOI: 10.1016/j.csda.2022.107678
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    References listed on IDEAS

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    1. Eric D. Schoen & Robert W. Mee, 2012. "Two‐level designs of strength 3 and up to 48 runs," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 61(1), pages 163-174, January.
    2. Eric D. Schoen & Nha Vo-Thanh & Peter Goos, 2017. "Two-Level Orthogonal Screening Designs With 24, 28, 32, and 36 Runs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(519), pages 1354-1369, July.
    3. Hongquan Xu, 2005. "A catalogue of three-level regular fractional factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 62(2), pages 259-281, November.
    4. Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
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