Optimal Designs for Comparing Test Treatments with a Control Utilizing Prior Information
The Annals of Statistics · 1992 · Volume 20 · Issue 1
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.
Keywords
$A$-optimal designs; 62K05; 62K10; approximately optimal designs; block designs; BTIB designs; optimal $\Gamma$-minimax designs; Optimal Bayes designs; prior information; robust designs; row-column designs;
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