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On general minimum lower order confounding criterion for s-level regular designs

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  • Li, Zhiming
  • Zhao, Shengli
  • Zhang, Runchu

Abstract

This paper shows that the existing optimality criteria for s-level designs can be expressed by the aliased component-number pattern, which is the core of the general minimum lower order confounding criterion for s-level designs.

Suggested Citation

  • Li, Zhiming & Zhao, Shengli & Zhang, Runchu, 2015. "On general minimum lower order confounding criterion for s-level regular designs," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 202-209.
    • Handle: RePEc:eee:stapro:v:99:y:2015:i:c:p:202-209
    DOI: 10.1016/j.spl.2015.01.026
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    References listed on IDEAS

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    1. C.‐S. Cheng & D. M. Steinberg & D. X. Sun, 1999. "Minimum aberration and model robustness for two‐level fractional factorial designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 85-93.
    2. Ai, Mingyao & Zhang, Runchu, 2004. "Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity," Statistics & Probability Letters, Elsevier, vol. 69(2), pages 161-170, August.
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    Cited by:

    1. Chen, Baixi & Li, Zhiming & Li, Zhi & Peng, Can, 2023. "The calculation of alias pattern in three-level regular designs," Statistics & Probability Letters, Elsevier, vol. 202(C).
    2. Li, Zhiming & Kong, Qingxun & Ai, Mingyao, 2020. "Construction of some s-level regular designs with general minimum lower-order confounding," Statistics & Probability Letters, Elsevier, vol. 167(C).

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