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Biometrika 1995 82(1):187-200; doi:10.1093/biomet/82.1.187
© 1995 by Biometrika Trust
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Construction and optimality of affine-resolvable designs

R. A. BAILEY1, H. MONOD2 and J. P. MORGAN3

1School of Mathematical Sciences, Queen Mary and Westfield College Mile End Road, London, El 4NS, U.K
2Laboratoire de biométrie, INRA-Versailles Route de Saint-Cyr, 78000 Versailles, France
3Department of Mathematics and Statistics, Old Dominion University Norfolk, Virginia 23529, U.S.A

Affine-resolvable designs are constructed from orthogonal arrays and shown to be optimal among resolvable designs with respect to the usual criteria. Tables and text show how to construct such designs in up to seven replicates whenever the number of treatments properly divides the square of the block size. Data from experiments which use affine-resolvable designs can be simply analysed by using pseudofactors.

Key Words: Aflfine design • Maximal balance • Optimal design • Orthogonal array • Resolvable design • Pseudofactor


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[Abstract] [Full Text] [PDF]


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