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Biometrika 1985 72(2):403-409; doi:10.1093/biomet/72.2.403
© 1985 by Biometrika Trust
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Nested generalized cyclic row-column designs

R. A. IPINYOMI and J. A. JOHN

Department of Mathematics, University of Southampton, Southampton SO95NH, U.K.

A nested row-column design has v treatments arranged in b blocks each comprising pq units grouped into p rows and q columns. A class of designs based on a cyclical method of construction is defined. The canonical efficiency factors of such nested generalized cyclic row-column designs are examined. Efficient designs are tabulated for 5 ≤ v ≤ 15, p ≤ 3, q ≤ 7 and r ≤ v, where r = bpq/v is the number of replications of each treatment.

Key Words: A-optimality • Canonical efficiency factor • Cyclic design • General balance • Nested row-column design • Upper bound


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