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A new strategy for optimal foldover two-level designs

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  • Elsawah, A.M.
  • Qin, Hong

Abstract

This paper studies the issue of optimal foldover plans for two-level designs in terms of the uniformity criteria measured by Lee, symmetric, wrap-around and centered discrepancy. An algorithm for searching the optimal foldover plans is also developed. New analytical expressions and new lower bounds for the above uniformity criteria of two-level combined designs are obtained.

Suggested Citation

  • Elsawah, A.M. & Qin, Hong, 2015. "A new strategy for optimal foldover two-level designs," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 116-126.
    • Handle: RePEc:eee:stapro:v:103:y:2015:i:c:p:116-126
    DOI: 10.1016/j.spl.2015.04.020
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    References listed on IDEAS

    as
    1. Elsawah, A.M. & Qin, Hong, 2015. "Lee discrepancy on symmetric three-level combined designs," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 273-280.
    2. Fang, Kai-Tai & Lin, Dennis K. J. & Qin, Hong, 2003. "A note on optimal foldover design," Statistics & Probability Letters, Elsevier, vol. 62(3), pages 245-250, April.
    3. Chatterjee, Kashinath & Li, Zhaohai & Qin, Hong, 2012. "Some new lower bounds to centered and wrap-round L2-discrepancies," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1367-1373.
    4. Zhou, Yong-Dao & Ning, Jian-Hui & Song, Xie-Bing, 2008. "Lee discrepancy and its applications in experimental designs," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1933-1942, September.
    5. Elsawah, A.M. & Qin, Hong, 2014. "New lower bound for centered L2-discrepancy of four-level U-type designs," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 65-71.
    6. Zujun Ou & Kashinath Chatterjee & Hong Qin, 2011. "Lower bounds of various discrepancies on combined designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 74(1), pages 109-119, July.
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    Cited by:

    1. Elsawah, A.M. & Qin, Hong, 2015. "Mixture discrepancy on symmetric balanced designs," Statistics & Probability Letters, Elsevier, vol. 104(C), pages 123-132.
    2. Elsawah, A.M., 2016. "Constructing optimal asymmetric combined designs via Lee discrepancy," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 24-31.
    3. A. M. Elsawah, 2021. "Multiple doubling: a simple effective construction technique for optimal two-level experimental designs," Statistical Papers, Springer, vol. 62(6), pages 2923-2967, December.
    4. A. M. Elsawah & Kai-Tai Fang, 2020. "New foundations for designing U-optimal follow-up experiments with flexible levels," Statistical Papers, Springer, vol. 61(2), pages 823-849, April.
    5. A. M. Elsawah & Hong Qin, 2016. "Asymmetric uniform designs based on mixture discrepancy," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(12), pages 2280-2294, September.

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