ON THE CONSTRUCTION OF UNIVERSALLY OPTIMAL BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS
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Abstract
This paper presents a simple method for constructing universally opti mal block designs with nested rows and columns for number of treatments greater than the number of columns. By allowing a near maximum trace in $\Delta_{v,p,q}$, we pro pose an initial row-column design to achieve a completely symmetric information matrix in much lesser than $v!$ blocks. This constructive method is then extended to the case when balanced incomplete block design is given in the columns.
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References
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