Biometrical Letters Vol. 44(2), 2007, pp. 155-164
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ON THE E-OPTIMALITY OF SOME GROUP DIVISIBLE BLOCK DESIGNS
Henryk Brzeskwiniewicz, Jolanta Krzyszkowska Department of Mathematical and Statistical Methods, Agricultural University of Poznań, Wojska Polskiego 28, 60-637 Poznań, Poland, e-mail: henbrzes@au.poznan.pl, e-mail: krzyszko@au.poznan.pl |
In this paper, we find E-optimal designs based on balanced block (BB) designs and some partially balanced incomplete block designs with group divisible associate scheme (GD PBIB) listed in Clatworthy (1973). As a result, we obtain partially balanced block designs with group divisible associate scheme (GD PBB) having equal or unequal treatment replications and equal or unequal block sizes (the classical GD PBIB designs have only equal treatment replications and equal block sizes).
balanced block (BB) designs, balanced incomplete block (BIB) designs, E-optimality, partially balanced block designs with group divisible association scheme (GD PBB), partially balanced incomplete block designs with group divisible association scheme (GD PBIB)
