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Analysis on $$s^{n-m}$$ s n - m designs with general minimum lower-order confounding

Author

Listed:
  • Zhiming Li

    (Xinjiang University)

  • Zhidong Teng

    (Xinjiang University)

  • Tianfang Zhang

    (Jiangxi Normal University)

  • Runchu Zhang

    (Northeast Normal University
    Nankai University)

Abstract

An optimal design should minimize the confounding among factor effects, especially the lower-order effects, such as main effects and two-factor interaction effects. Based on the aliased component-number pattern, general minimum lower-order confounding (GMC) criterion can provide the confounding information among factors of designs in a more elaborate and explicit manner. In this paper, we extend GMC theory to s-level regular designs, where s is a prime or prime power. For an $$s^{n-m}$$ s n - m design D with $$N=s^{n-m}$$ N = s n - m runs, the confounding of design D is given by complementary set. Further, according to the factor number n, we discuss two cases: (i) $$N/s

Suggested Citation

  • 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.
    • Handle: RePEc:spr:alstar:v:100:y:2016:i:2:d:10.1007_s10182-015-0259-3
    DOI: 10.1007/s10182-015-0259-3
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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.
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    Cited by:

    1. 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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