Activity Number:
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285
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Type:
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Contributed
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Date/Time:
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Wednesday, August 14, 2002 : 8:30 AM to 10:20 AM
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Sponsor:
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IMS
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Abstract - #300807 |
Title:
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On the $E$-Optimality of Certain Class of Block Designs
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Author(s):
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Sudesh Srivastav*+
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Affiliation(s):
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Tulane University
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Address:
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1430 Tulane Avenue SL 18, New Orleans , Lousiana, 70112, USA
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Keywords:
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Block Designs ; E-optimal ; Generalized Group Divisible Designs
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Abstract:
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In this talk we consider the problem of determining and constructing $E$-optimal block designs within an experimental setting where $v$ treatments are arranged in $b$ blocks of size $k< v$ such that $bk=vr+1$ and $r(k-1) =\lambda(v-1)+1$. Sufficient conditions for a design to be $E$-optimal within these classes are derived. An infinite series of generalized group divisible designs with $s$ groups ($GGDD(s)$), for $k=3$ and $\lambda =1$, of such $E$-optimal designs are also constructed.
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