The Annals of Statistics

On the Optimality of Spring Balance Weighing Designs

Mike Jacroux and William Notz

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 11, Number 3 (1983), 970-978.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346262

Digital Object Identifier
doi:10.1214/aos/1176346262

Mathematical Reviews number (MathSciNet)
MR707946

Zentralblatt MATH identifier
0529.62064

JSTOR
links.jstor.org

Subjects
Primary: 62K05: Optimal designs
Secondary: 62K10: Block designs

Keywords
Weighing design spring balance block design $A$-optimality $D$-optimality $E$-optimality

Citation

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


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