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Some orthogonal arrays with 32 runs and their projection properties

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Abstract

Screening designs are useful for situations where a large number of factors are examined but only a few, k, of them are expected to be important. Traditionally orthogonal arrays such as Hadamard matrices and Plackett Burman designs have been studied for this purpose. It is therefore of practical interest for a given k to know all the classes of inequivalent projections of the design into the k dimensions that have certain statistical properties. In this paper we present 15 inequivalent Hadamard matrices of order n=32 constructed from circulant cores. We study their projection properties using several well-known statistical criteria and we provide minimum generalized aberration 2 level designs with 32 runs and up to seven factors that are embedded into these Hadamard matrices. A concept of generalized projectivity and design selection of such designs is also discussed.

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Authors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Zografou, 15773, Athens, Greece

    H. Evangelaras, E. Kolaiti & C. Koukouvinos

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  1. H. Evangelaras
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  2. E. Kolaiti
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  3. C. Koukouvinos
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Corresponding author

Correspondence to C. Koukouvinos.

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AMS Subject Classification: Primary 62K15, Secondary 05B20

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Evangelaras, H., Kolaiti, E. & Koukouvinos, C. Some orthogonal arrays with 32 runs and their projection properties. Metrika 63, 271–281 (2006). https://doi.org/10.1007/s00184-005-0018-7

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  • DOI: https://doi.org/10.1007/s00184-005-0018-7

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