Abstract #300807


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JSM 2002 Abstract #300807
Activity Number: 285
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #300807
Title: On the $E$-Optimality of Certain Class of Block Designs
Author(s): Sudesh Srivastav*+
Affiliation(s): Tulane University
Address: 1430 Tulane Avenue SL 18, New Orleans , Lousiana, 70112, USA
Keywords: Block Designs ; E-optimal ; Generalized Group Divisible Designs
Abstract:

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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