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Biometrika 1994 81(2):420-424; doi:10.1093/biomet/81.2.420
© 1994 by Biometrika Trust
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MISCELLANEA

Optimal complete diallel crosses

SUDHIR GUPTA1 and SANPEI KAGEYAMA2

1Department of Statistics, Northern Illinois University DeKalb, Illinois 60115, U. S.A.
2Department of Mathematics, Hiroshima University Hiroshima 734, Japan

Optimality of complete diallel crosses in incomplete blocks is investigated. Optimal complete diallel crosses are characterized, and such binary plans are derived using nested balanced incomplete block designs. A table of optimal complete diallel crosses for up to 15 lines is also provided.

Key Words: Binary design • Mating design • Nested balanced incomplete block design • Optimal complete diallel cross • Universal optimality


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