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June, 1985 Families of $A$-Optimal Block Designs for Comparing Test Treatments with a Control
A. S. Hedayat, Dibyen Majumdar
Ann. Statist. 13(2): 757-767 (June, 1985). DOI: 10.1214/aos/1176349552

Abstract

$A$-optimal designs for comparing each of $\nu$ test treatments simultaneously with a control, in $b$ blocks of size $k$ each are considered. It is shown that several families of BIB designs in the test treatments augmented by $t$ replications of a control in each block are $A$-optimal. In particular these designs with $t = 1$ are optimal whenever $(k - 2)^2 + 1 \leq \nu \leq (k - 1)^2$ irrespective of the number of blocks. This includes BIB designs associated with finite projective and Euclidean geometries.

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A. S. Hedayat. Dibyen Majumdar. "Families of $A$-Optimal Block Designs for Comparing Test Treatments with a Control." Ann. Statist. 13 (2) 757 - 767, June, 1985. https://doi.org/10.1214/aos/1176349552

Information

Published: June, 1985
First available in Project Euclid: 12 April 2007

zbMATH: 0586.62113
MathSciNet: MR790570
Digital Object Identifier: 10.1214/aos/1176349552

Subjects:
Primary: 62K05
Secondary: 62K10

Rights: Copyright © 1985 Institute of Mathematical Statistics

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Vol.13 • No. 2 • June, 1985
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