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Inequivalent projections of Hadamard matrices of orders 16 and 20

Author

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  • H. Evangelaras
  • S. Georgiou
  • C. Koukouvinos

Abstract

Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. It is of practical interest for a given k to know all the inequivalent projections of the design into the k dimensions. In this paper we give all the inequivalent projections of inequivalent Hadamard matrices of orders 16 and 20 into k=3, 4 and 5 dimensions, as well as their frequencies. Copyright Springer-Verlag 2003

Suggested Citation

  • H. Evangelaras & S. Georgiou & C. Koukouvinos, 2003. "Inequivalent projections of Hadamard matrices of orders 16 and 20," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 57(1), pages 29-35, February.
    • Handle: RePEc:spr:metrik:v:57:y:2003:i:1:p:29-35
    DOI: 10.1007/s001840100180
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    References listed on IDEAS

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    1. Dennis Lin & Norman Draper, 1995. "Screening properties of certain two-level designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 42(1), pages 99-118, December.
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    Cited by:

    1. Evangelaras, H. & Koukouvinos, C., 2003. "On maximizing a design estimation efficiency using hidden projection properties," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 419-427, May.
    2. Evangelaras, H. & Koukouvinos, C., 2003. "Effects confounded with blocks in factorial designs: a projective geometric approach with two blocks," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 105-111, August.
    3. H. Evangelaras & S. D. Georgiou, 2021. "Projection properties of two-level supersaturated designs constructed from Hadamard designs using Lin’s method," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1095-1108, November.
    4. Evangelaras, H. & Kolaiti, E. & Koukouvinos, C., 2006. "Non-isomorphic orthogonal arrays obtained by juxtaposition," Statistics & Probability Letters, Elsevier, vol. 76(3), pages 274-279, February.

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    1. Evangelaras, H. & Koukouvinos, C., 2003. "Effects confounded with blocks in factorial designs: a projective geometric approach with two blocks," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 105-111, August.
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    5. H. Evangelaras & S. D. Georgiou, 2021. "Projection properties of two-level supersaturated designs constructed from Hadamard designs using Lin’s method," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(8), pages 1095-1108, November.
    6. Evangelaras, H. & Kolaiti, E. & Koukouvinos, C., 2006. "Non-isomorphic orthogonal arrays obtained by juxtaposition," Statistics & Probability Letters, Elsevier, vol. 76(3), pages 274-279, February.

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