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On generalized projectivity of two-level screening designs

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  • Evangelaras, H.
  • Koukouvinos, C.
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 68 (2004)
    Issue (Month): 4 (July)
    Pages: 429-434

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    Handle: RePEc:eee:stapro:v:68:y:2004:i:4:p:429-434

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    Keywords: Screening designs Distinct runs Generalized projectivity;

    References

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    1. Dennis Lin & Norman Draper, 1995. "Screening properties of certain two-level designs," Metrika, 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, Springer, vol. 59(1), pages 51-73, 02.
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