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A note on the projection properties of Hadamard matrices obtained by the first Payley construction

Jainz, M.

In: Metrika, 2003, vol. 58, no. 3, p. 273-277

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    Title
    • A note on the projection properties of Hadamard matrices obtained by the first Payley construction
    Author
    • Jainz, M.. Department of Mathematical Statistics, University of Bern, Sidlerstr. 5, 3012, Bern, Switzerland
    Document Type
    • Postprint
    OAI-PMH Identifier
    • oai:doc.rero.ch:320624
    Summary
    We show that the projections on four factors of an arbitrary orthogonal array of strength 2 allow the estimation of main effects and two-factor interactions when all other effects are assumed to be zero, if those projections satisfy the bounds given by Weil's theorem. The only exceptions are the Hadamard matrices of orders 16 and 24. A consequence is again the estimability of main effects and two-factor interactions for the projections on four factors of the first Payley construction for arbitrary run size