Sankhya: The Indian Journal of Statistics

1997, Volume 59, Series B, Pt. 3, 335-345

A NOTE ON THE DETERMINATION AND CONSTRUCTION OF E-OPTIMAL BLOCK DESIGNS IN THE PRESENCE OF LINEAR TRENDS

By

MIKE JACROUX, Washington State University, Pullman

SUMMARY. In this paper we consider experimental situations in which $v$ treatments are to be applied to experimental units arranged in $b$ blocks of size $k =3$ and where there may be unknown or uncontrollable linear trends (possibly different) within blocks. Methods are given here for constructing E-optimal designs for such situations. 

AMS (1991) subject classification. 62K10, 05B05

Key words and phrases. E-optimal, balanced incomplete block design, augmentation

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