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Optimal foldover plans for regular s-level fractional factorial designs

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  • Ai, Mingyao
  • Hickernell, Fred J.
  • Lin, Dennis K.J.

Abstract

This article introduces a general decomposition structure of the foldover plan. While all the previous work is limited to two-level designs, our results here are good for general regular s-level fractional factorial designs, where s is any prime or prime power. The relationships between an initial design and its combined designs are studied. This is done for both with and without consideration of the blocking factor. For illustration of the usage of our theorems, a complete collection of foldover plans for regular three-level designs with 27 runs is given that is optimal for aberration and clear effect numbers.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:7:p:896-903
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    References listed on IDEAS

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    1. 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.
    2. Ai, Mingyao & Zhang, Runchu, 2004. "sn-m Designs containing clear main effects or clear two-factor interactions," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 151-160, August.
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    Cited by:

    1. Zujun Ou & Hongyi Li, 2021. "A new foldover strategy and optimal foldover plans for three-level design," Statistical Papers, Springer, vol. 62(5), pages 2433-2451, October.
    2. 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.
    3. Wenlong Li & Bing Guo & Hengzhen Huang & Min-Qian Liu, 2021. "Semifoldover plans for three-level orthogonal arrays with quantitative factors," Statistical Papers, Springer, vol. 62(6), pages 2691-2709, December.

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