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On generalized projectivity of two-level screening designs

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  • Evangelaras, H.
  • Koukouvinos, C.

Abstract

Suppose a large number of two-level factors is examined in an experimental situation. Under the assumption of effect sparsity it is often anticipated that only a few experimental factors play an important role in the experiment. Usually, it is not known which columns of the experimental design will be of further interest. After the initial stage of factor screening, experimenters are usually interested in identifying and estimating interactions of factors that have been found active. It is therefore practical to select a design suitable to provide essential information for this purpose, for whatever choice of active factors. In this paper, we generalize the concept of projectivity of a screening design and we identify saturated screening designs of generalized projectivity Pa that guarantee the identification of P active main effects and their a-factor interactions.

Suggested Citation

  • Evangelaras, H. & Koukouvinos, C., 2004. "On generalized projectivity of two-level screening designs," Statistics & Probability Letters, Elsevier, vol. 68(4), pages 429-434, July.
    • Handle: RePEc:eee:stapro:v:68:y:2004:i:4:p:429-434
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    References listed on IDEAS

    as
    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.
    2. H. Evangelaras & S. Georgiou & C. Koukouvinos, 2004. "Evaluation of inequivalent projections of Hadamard matrices of order 24," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(1), pages 51-73, February.
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