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Construction of some 3n—m regular designs with general minimum lower order confounding

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Abstract

For three-level designs, the general minimum lower order confounding (GMC) criterion aims to choose optimal designs by treating aliased component-number pattern (ACNP) as a set. In this article, we develop some theoretical results of a three-level GMC criterion. The characterizations of three-level GMC designs are studied in terms of complementary sets. All GMC 3n–m designs with N = 3n–m runs and the factor number n = (N – 3r)/2 + i are constructed for r< n – m and i = 0,1,2,3. Furthermore, the confounding information of lower order component effects of GMC 3n–m designs is obtained.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, 830046, Urumqi, China

    Zhiming Li, Zhidong Teng & Lijun Wu

  2. KLAS and School of Mathematics and Statistics, Northeast Normal University, Changchun, China

    Runchu Zhang

Authors
  1. Zhiming Li
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  2. Zhidong Teng
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  3. Lijun Wu
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  4. Runchu Zhang
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Correspondence to Zhiming Li.

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Li, Z., Teng, Z., Wu, L. et al. Construction of some 3n—m regular designs with general minimum lower order confounding. J Stat Theory Pract 12, 336–355 (2018). https://doi.org/10.1080/15598608.2017.1381057

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  • DOI: https://doi.org/10.1080/15598608.2017.1381057

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