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September, 1983 On the Optimality of Spring Balance Weighing Designs
Mike Jacroux, William Notz
Ann. Statist. 11(3): 970-978 (September, 1983). DOI: 10.1214/aos/1176346262

Abstract

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.

Citation

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Mike Jacroux. William Notz. "On the Optimality of Spring Balance Weighing Designs." Ann. Statist. 11 (3) 970 - 978, September, 1983. https://doi.org/10.1214/aos/1176346262

Information

Published: September, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0529.62064
MathSciNet: MR707946
Digital Object Identifier: 10.1214/aos/1176346262

Subjects:
Primary: 62K05
Secondary: 62K10

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 3 • September, 1983
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