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Maximum estimation capacity projection designs from Hadamard matrices with 32, 36 and 40 runs

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  • Angelopoulos, P.
  • Koukouvinos, C.

Abstract

An important problem in experimental procedures is the selection of the appropriate design. A design with generalized minimum aberration (GMA) is often considered the best. However, other designs might suit better practical needs, especially when two factor interactions (2fis) are of interest. Here we find all the inequivalent projection designs from Hadamard matrices of order 32, 36 and 40 into q=3,4,5 factors and order 32 into 6 factors and we study them according to their ability to estimate as many 2fis as possible with the greatest efficiency. We also present the maximum estimation capacity (EC) designs when considering 2 and 3 factor interactions. Furthermore, we give the best GMA designs and examine their connection with those having maximum EC.

Suggested Citation

  • Angelopoulos, P. & Koukouvinos, C., 2007. "Maximum estimation capacity projection designs from Hadamard matrices with 32, 36 and 40 runs," Statistics & Probability Letters, Elsevier, vol. 77(2), pages 220-229, January.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:2:p:220-229
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    References listed on IDEAS

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    1. Yingfu Li & Jiantian Wang, 2004. "Nonregular designs from Hadamard matrices and their estimation capacity," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 60(3), pages 295-303, November.
    2. 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. Eric D. Schoen & Nha Vo-Thanh & Peter Goos, 2017. "Two-Level Orthogonal Screening Designs With 24, 28, 32, and 36 Runs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(519), pages 1354-1369, July.

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