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A note on optimal foldover design

Author

Listed:
  • Fang, Kai-Tai
  • Lin, Dennis K. J.
  • Qin, Hong

Abstract

This note provides a theoretical justification for the optimal foldover plans for two-level designs, including the regular 2s-p, non-regular, saturated and supersaturated designs.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:62:y:2003:i:3:p:245-250
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    Citations

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    Cited by:

    1. Ai, Mingyao & Hickernell, Fred J. & Lin, Dennis K.J., 2008. "Optimal foldover plans for regular s-level fractional factorial designs," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 896-903, May.
    2. Stelios Georgiou & Christos Koukouvinos & Min-Qian Liu, 2014. "U-type and column-orthogonal designs for computer experiments," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(8), pages 1057-1073, November.
    3. Elsawah, A.M., 2016. "Constructing optimal asymmetric combined designs via Lee discrepancy," Statistics & Probability Letters, Elsevier, vol. 118(C), pages 24-31.
    4. A. M. Elsawah, 2018. "Choice of optimal second stage designs in two-stage experiments," Computational Statistics, Springer, vol. 33(2), pages 933-965, June.
    5. 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.
    6. 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.
    7. 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.
    8. Elsawah, A.M. & Qin, Hong, 2015. "Lee discrepancy on symmetric three-level combined designs," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 273-280.
    9. A. M. Elsawah & Hong Qin, 2017. "Optimum mechanism for breaking the confounding effects of mixed-level designs," Computational Statistics, Springer, vol. 32(2), pages 781-802, June.
    10. Zujun Ou & Hong Qin, 2019. "Optimal foldover plans of asymmetric factorials with minimum wrap-around $$L_2$$ L 2 -discrepancy," Statistical Papers, Springer, vol. 60(5), pages 1699-1716, October.
    11. Kashinath Chatterjee & Kai-Tai Fang & Hong Qin, 2006. "A Lower Bound for the Centered L 2 -Discrepancy on Asymmetric Factorials and its Application," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 63(2), pages 243-255, April.
    12. Caporale, Diana & De Lucia, Caterina, 2015. "Social acceptance of on-shore wind energy in Apulia Region (Southern Italy)," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 1378-1390.

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