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Minimum G2-aberration properties of two-level foldover designs

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  • Butler, Neil A.

Abstract

This paper provides theoretical results on the construction of two-level fractional factorial designs with minimum G2-aberration. Attention focuses on foldover designs which are shown to have minimum G2-aberration across the whole class of orthogonal designs for n=24 runs and any m[less-than-or-equals, slant]n/2 factors. Minimum G2-aberration foldover designs are also provided for n=32, 48 and 64 runs.

Suggested Citation

  • Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
    • Handle: RePEc:eee:stapro:v:67:y:2004:i:2:p:121-132
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    References listed on IDEAS

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    1. 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.
    2. Neil A. Butler, 2003. "Some theory for constructing minimum aberration fractional factorial designs," Biometrika, Biometrika Trust, vol. 90(1), pages 233-238, March.
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    Cited by:

    1. Eendebak, Pieter T. & Schoen, Eric D. & Vazquez, Alan R. & Goos, Peter, 2023. "Systematic enumeration of two-level even-odd designs of strength 3," Computational Statistics & Data Analysis, Elsevier, vol. 180(C).
    2. SCHOEN, Eric D. & MEE, Robert W., 2012. "Two-level designs of strength 3 and up to 48 runs," Working Papers 2012005, University of Antwerp, Faculty of Business and Economics.
    3. 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.
    4. SARTONO, Bagus & GOOS, Peter & SCHOEN, Eric D., 2012. "Orthogonal blocking of regular and non-regular strength-3 designs," Working Papers 2012026, University of Antwerp, Faculty of Business and Economics.
    5. VÁZQUEZ-ALCOCER, Alan & GOOS, Peter & SCHOEN, Eric D., 2016. "Two-level designs constructed by concatenating orthogonal arrays of strenght three," Working Papers 2016011, University of Antwerp, Faculty of Business and Economics.
    6. VÁZQUEZ-ALCOCER, Alan & XU, Hongquan, 2018. "Construction of two-level nonregular designs of strength three with large run sizes," Working Papers 2018003, University of Antwerp, Faculty of Business and Economics.

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