This paper deals with techniques for finding $\Phi$-optimal designs for weighing $v$ objects in $b$ weighings using a spring balance. The optimality functions considered encompass a large class of functions. Results are applied to find $A$-, $D$- and $E$-optimal designs and the optimal designs obtained are seen to be related to certain types of well known block designs.
Publié le : 1983-09-14
Classification:
Weighing design,
spring balance,
block design,
$A$-optimality,
$D$-optimality,
$E$-optimality,
62K05,
62K10
@article{1176346262,
author = {Jacroux, Mike and Notz, William},
title = {On the Optimality of Spring Balance Weighing Designs},
journal = {Ann. Statist.},
volume = {11},
number = {1},
year = {1983},
pages = { 970-978},
language = {en},
url = {http://dml.mathdoc.fr/item/1176346262}
}
Jacroux, Mike; Notz, William. On the Optimality of Spring Balance Weighing Designs. Ann. Statist., Tome 11 (1983) no. 1, pp. 970-978. http://gdmltest.u-ga.fr/item/1176346262/