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March, 1992 Optimal Designs for Comparing Test Treatments with a Control Utilizing Prior Information
Dibyen Majumdar
Ann. Statist. 20(1): 216-237 (March, 1992). DOI: 10.1214/aos/1176348519

Abstract

Bayes $A$-optimal designs for the one-way and the two-way elimination of heterogeneity models and optimal $\Gamma$-minimax designs for the one-way elimination of heterogeneity model for experiments to compare test treatments with a control are given. Properties such as robustness, of these designs are studied. Optimality results are derived in the exact theory setup.

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Dibyen Majumdar. "Optimal Designs for Comparing Test Treatments with a Control Utilizing Prior Information." Ann. Statist. 20 (1) 216 - 237, March, 1992. https://doi.org/10.1214/aos/1176348519

Information

Published: March, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0754.62055
MathSciNet: MR1150341
Digital Object Identifier: 10.1214/aos/1176348519

Subjects:
Primary: 62K05
Secondary: 62K10

Keywords: $A$-optimal designs , approximately optimal designs , block designs , BTIB designs , optimal $\Gamma$-minimax designs , Optimal Bayes designs , prior information , robust designs , row-column designs

Rights: Copyright © 1992 Institute of Mathematical Statistics

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Vol.20 • No. 1 • March, 1992
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