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Biometrika 1983 70(2):433-440; doi:10.1093/biomet/70.2.433
© 1983 by Biometrika Trust
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Equireplicate balanced block designs with unequal block sizes

S. C. GUPTA and B. JONES

Mathematical Institute, University of Kent Canterbury

Methods are given for the construction of equireplicate balanced block designs with unequal block sizes using group divisible designs. Balanced designs in which treatments are replicated 25 times or less are tabulated. The plans of these designs can be readily obtained using existing published sources. Some of the designs given here are even smaller than those in balanced incomplete blocks.

Key Words: Balanced incomplete block design • Efficiency balance • Group divisible • Variance balance


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