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Construction of some s-level regular designs with general minimum lower-order confounding

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  • Li, Zhiming
  • Kong, Qingxun
  • Ai, Mingyao

Abstract

Based on an aliased component-number pattern (ACNP), a general minimum lower-order confounding (GMC) criterion has been proposed to choose the optimal regular designs, which minimize the confounding among lower-order effects. This paper is ready to study the properties of GMC s-level designs in terms of complementary sets. It is proved that an sn−m design has GMC only if its complementary set is contained in a flat. Then some GMC sn−m designs are constructed when n=(N−sr)∕(s−1)+t and 0≤t≤(sr−sr−1)∕(s−1), where N=sn−m and r

Suggested Citation

  • 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).
    • Handle: RePEc:eee:stapro:v:167:y:2020:i:c:s0167715220302005
    DOI: 10.1016/j.spl.2020.108897
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    References listed on IDEAS

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    1. 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.
    2. Zhiming Li & Zhidong Teng & Tianfang Zhang & Runchu Zhang, 2016. "Analysis on $$s^{n-m}$$ s n - m designs with general minimum lower-order confounding," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(2), pages 207-222, April.
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    Cited by:

    1. Zhiyun Huang & Zhiming Li & Ge Zhang & Tao Chen, 2023. "Lower-order confounding information of inverse Yates-order designs with three levels," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(2), pages 239-259, February.

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