In a two-factor design, a design which is optimal for one factor is shown to be optimal jointly for both the factors with respect to each of $A$-, $D$-, and $E$-optimalities. As an interesting consequence we have that a linked block design is optimal for the estimation of treatment differences. Similar results are also obtained for a class of three factor designs.
Publié le : 1976-03-14
Classification:
Optimal designs,
$A-$,
$D-$,
and $E$-optimalities,
main effects,
BIB design,
LB design,
62K05
@article{1176343420,
author = {Shah, K. R. and Raghavarao, D. and Khatri, C. G.},
title = {Optimality of Two and Three Factor Designs},
journal = {Ann. Statist.},
volume = {4},
number = {1},
year = {1976},
pages = { 419-422},
language = {en},
url = {http://dml.mathdoc.fr/item/1176343420}
}
Shah, K. R.; Raghavarao, D.; Khatri, C. G. Optimality of Two and Three Factor Designs. Ann. Statist., Tome 4 (1976) no. 1, pp. 419-422. http://gdmltest.u-ga.fr/item/1176343420/