On admissibility and optimality of treatment-control designs
The Annals of Statistics · 1996 · Volume 24 · Issue 5
Abstract
The relationship between admissible incomplete block designs for confidence intervals with maximal coverage probability for treatment-control contrasts and optimal designs for estimation is investigated. For certain types of designs, admissible designs are shown to be precisely those with the number of replications of the control less than or equal to that of an optimal design. Moreover, admissible designs are the Bayes optimal designs for a class of priors.
Keywords
$A$-optimality, 62K05, 62K10, Bayes optimal designs, BIB designs, BTIB designs, confidence intervals, estimation
Enable JavaScript for citation tools and additional paper interactions.