Bayes $A$-optimal designs for the one-way and the two-way elimination of heterogeneity models and optimal $\Gamma$-minimax designs for the one-way elimination of heterogeneity model for experiments to compare test treatments with a control are given. Properties such as robustness, of these designs are studied. Optimality results are derived in the exact theory setup.
@article{1176348519,
author = {Majumdar, Dibyen},
title = {Optimal Designs for Comparing Test Treatments with a Control Utilizing Prior Information},
journal = {Ann. Statist.},
volume = {20},
number = {1},
year = {1992},
pages = { 216-237},
language = {en},
url = {http://dml.mathdoc.fr/item/1176348519}
}
Majumdar, Dibyen. Optimal Designs for Comparing Test Treatments with a Control Utilizing Prior Information. Ann. Statist., Tome 20 (1992) no. 1, pp. 216-237. http://gdmltest.u-ga.fr/item/1176348519/