Abstract
Optimal approximate designs for quadratic regression with random block effects in the case of block size two are considered. We obtain, with respect to the Schur ordering, an essentially complete class consisting of designs with a simple structure. The locally D- and A-optimal designs given in Cheng (1995a) and Atkins and Cheng (1999) belong to this class. We explicitly identify locally E-optimal designs and show that for each p, −∞≤p≤1, there is a unique ϕp-design in this class. Bayesian ϕp-optimal designs are also considered.
Original language | English |
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Pages (from-to) | 67-77 |
Number of pages | 11 |
Journal | Journal of Statistical Planning and Inference |
Volume | 175 |
DOIs | |
State | Published - 1 Aug 2016 |
Keywords
- Bayesian optimality
- E-optimality
- Essentially complete class
- Robust design
- ϕ-optimality