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Journal of Statistical Theory and Practice

, Volume 12, Issue 2, pp 336–355 | Cite as

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

Article

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.

Keywords

Three-level design aliased component-number pattern general minimum lower order confounding criterion complementary set construction 

AMS Subject Classification

62K15 62K05 

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Copyright information

© Grace Scientific Publishing, 20 Middlefield Ct, Greensboro, NC 27455 2018

Authors and Affiliations

  • Zhiming Li
    • 1
  • Zhidong Teng
    • 1
  • Lijun Wu
    • 1
  • Runchu Zhang
    • 2
  1. 1.College of Mathematics and System SciencesXinjiang UniversityUrumqiChina
  2. 2.KLAS and School of Mathematics and StatisticsNortheast Normal UniversityChangchunChina

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