The Annals of Statistics
- Ann. Statist.
- Volume 11, Number 3 (1983), 970-978.
On the Optimality of Spring Balance Weighing Designs
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.
Ann. Statist., Volume 11, Number 3 (1983), 970-978.
First available in Project Euclid: 12 April 2007
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Jacroux, Mike; Notz, William. On the Optimality of Spring Balance Weighing Designs. Ann. Statist. 11 (1983), no. 3, 970--978. doi:10.1214/aos/1176346262. https://projecteuclid.org/euclid.aos/1176346262