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Nonregular two-level designs of resolution IV or more containing clear two-factor interactions

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  • Yang, Guijun
  • Butler, Neil A.

Abstract

In this paper, the concepts of clear effects, alias sets and grid representations are generalized to nonregular two-level designs. Many good generalized join designs of n runs with resolution IV or more containing many clear two-factor interactions are given for n=48 up to 192 and n being a multiple of 16. The designs constructed are shown to have concise generalized two-factor interaction grid representations. Finally, theoretical results for the necessary and sufficient conditions under which there exist nonregular two-level designs of resolution IV or more containing clear two-factor interactions are proved.

Suggested Citation

  • Yang, Guijun & Butler, Neil A., 2007. "Nonregular two-level designs of resolution IV or more containing clear two-factor interactions," Statistics & Probability Letters, Elsevier, vol. 77(5), pages 566-575, March.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:5:p:566-575
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    References listed on IDEAS

    as
    1. Hongquan Xu, 2005. "Some nonregular designs from the Nordstrom–Robinson code and their statistical properties," Biometrika, Biometrika Trust, vol. 92(2), pages 385-397, June.
    2. Neil A. Butler, 2003. "Minimum aberration construction results for nonregular two-level fractional factorial designs," Biometrika, Biometrika Trust, vol. 90(4), pages 891-898, December.
    3. Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
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