Abstract
A sufficient condition for the Bayes A-optimality of block designs when comparing a standard treatment with v test treatments is given by Majumdar. (In: Optimal Design and Analysis of Experiments, Y. Dodge, V. V. Fedorov and H. P. Wynn (Eds.), 15–27, North-Holland, 1988). The priors that he considers depend on a constant a ε [0, ∞), with a - 0 corresponding to no prior information at all. The given sufficient condition, consequently, also depends on a. Large families of optimal and highly efficient designs are only known for the case a — 0. We will show how some of the results for a - 0 can be extended to obtain large families of optimal and highly efficient designs for arbitrary values of a. In addition, these results are useful when considering design robustness against an improper choice of a.
Original language | English (US) |
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Pages (from-to) | 3849-3862 |
Number of pages | 14 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 20 |
Issue number | 12 |
DOIs | |
State | Published - Jan 1 1991 |
Keywords
- BTIB designs
- R-type designs
- design robustness
- optimal designs
- prior information
ASJC Scopus subject areas
- Statistics and Probability