The problem of finding optimal incomplete blocks designs for comparing $p$ test treatments with a control is studied. B.I.B. designs are found to be $D$-optimal. $A$- and $E$-optimal designs are also obtained. For a large class of functions $\phi$, conditions for a design to be $\phi$-optimal are found. Most of the optimal designs are certain types of B.T.I.B. designs, introduced by Bechhofer and Tamhane (1981), which are binary in test treatments.
Publié le : 1983-03-14
Classification:
Incomplete block designs,
BTIB designs,
BIB designs,
binary designs,
comparing $p$ treatments to a control,
$\phi$-optimality,
$D$-optimality,
$A$-optimality,
$E$-optimality,
62K05,
62K10
@article{1176346076,
author = {Majumdar, Dibyen and Notz, William I.},
title = {Optimal Incomplete Block Designs for Comparing Treatments with a Control},
journal = {Ann. Statist.},
volume = {11},
number = {1},
year = {1983},
pages = { 258-266},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346076}
}
Majumdar, Dibyen; Notz, William I. Optimal Incomplete Block Designs for Comparing Treatments with a Control. Ann. Statist., Tome 11 (1983) no. 1, pp. 258-266. http://gdmltest.u-ga.fr/item/1176346076/