$A$-Optimal Block Designs for Comparing Test Treatments with a Control
Stufken, John
Ann. Statist., Tome 15 (1987) no. 1, p. 1629-1638 / Harvested from Project Euclid
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We consider the problem of comparing test treatments with a control in a proper block design. We give conditions on the parameters of both R-type and S-type designs that guarantee their $A$-optimality, and demonstrate how these conditions can be used to obtain families of $A$-optimal designs. We give an example for the construction of the desired S-type designs. A table with optimal R-type designs $(3 \leq k \leq 10, k \leq v \leq 30)$ is also given.
Publié le : 1987-12-14
Classification:  Control-test treatment comparisons,  $A$-optimal designs,  rectangular-type designs,  step-type designs,  62K05,  62K10 
@article{1176350614,
     author = {Stufken, John},
     title = {$A$-Optimal Block Designs for Comparing Test Treatments with a Control},
     journal = {Ann. Statist.},
     volume = {15},
     number = {1},
     year = {1987},
     pages = { 1629-1638},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176350614}
}

Stufken, John. $A$-Optimal Block Designs for Comparing Test Treatments with a Control. Ann. Statist., Tome 15 (1987) no. 1, pp.  1629-1638. http://gdmltest.u-ga.fr/item/1176350614/