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December, 1987 $A$-Optimal Block Designs for Comparing Test Treatments with a Control
John Stufken
Ann. Statist. 15(4): 1629-1638 (December, 1987). DOI: 10.1214/aos/1176350614

Abstract

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.

Citation

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John Stufken. "$A$-Optimal Block Designs for Comparing Test Treatments with a Control." Ann. Statist. 15 (4) 1629 - 1638, December, 1987. https://doi.org/10.1214/aos/1176350614

Information

Published: December, 1987
First available in Project Euclid: 12 April 2007

zbMATH: 0629.62077
MathSciNet: MR913578
Digital Object Identifier: 10.1214/aos/1176350614

Subjects:
Primary: 62K05
Secondary: 62K10

Rights: Copyright © 1987 Institute of Mathematical Statistics

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Vol.15 • No. 4 • December, 1987
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