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March, 1983 Optimal Incomplete Block Designs for Comparing Treatments with a Control
Dibyen Majumdar, William I. Notz
Ann. Statist. 11(1): 258-266 (March, 1983). DOI: 10.1214/aos/1176346076

Abstract

The problem of finding optimal incomplete blocks designs for comparing $p$ test treatments with a control is studied. B.I.B. designs are found to be $D$-optimal. $A$- and $E$-optimal designs are also obtained. For a large class of functions $\phi$, conditions for a design to be $\phi$-optimal are found. Most of the optimal designs are certain types of B.T.I.B. designs, introduced by Bechhofer and Tamhane (1981), which are binary in test treatments.

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Dibyen Majumdar. William I. Notz. "Optimal Incomplete Block Designs for Comparing Treatments with a Control." Ann. Statist. 11 (1) 258 - 266, March, 1983. https://doi.org/10.1214/aos/1176346076

Information

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

zbMATH: 0507.62070
MathSciNet: MR684883
Digital Object Identifier: 10.1214/aos/1176346076

Subjects:
Primary: 62K05
Secondary: 62K10

Rights: Copyright © 1983 Institute of Mathematical Statistics

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Vol.11 • No. 1 • March, 1983
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