A note on the projection properties of Hadamard matrices obtained by the first Payley construction |
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Authors: | Jainz M |
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Institution: | (1) Department of Mathematical Statistics, University of Bern, Sidlerstr. 5, 3012 Bern, Switzerland |
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Abstract: | 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 Weils 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. |
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Keywords: | Hadamard matrix First Payley construction Weils theorem" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s theorem Projections |
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