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Biometrika 1992 79(3):658-661; doi:10.1093/biomet/79.3.658
© 1992 by Biometrika Trust
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MISCELLANEA

Bounds for the efficiency factor of row-column designs

J. A. JOHN1

1Centre for Applied Statistics, University of Waikato Hamilton, New Zealand
2School of Mathematics, University of New South Wales Kensington 2033, Australia

Upper bounds for the average efficiency factor of single block and resolvable row-column designs, based on the first two moments of the canonical efficiency factors, are obtained. In 245 out of the 379 cases considered these bounds are tighter than a bound given previously by Eccleston & McGilchrist (1985).

Key Words: Adjusted orthogonality • Canonical efficiency factor • Efficiency factor • Resolvability • Row-column design • Upper bound


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