The Annals of Statistics
- Ann. Statist.
- Volume 28, Number 6 (2000), 1728-1742.
On the determination of optimal designs for an interference model
This paper generalizes Kushner’s method for finding optimal repeated measurements designs to find optimal designs under an interference model. The model we assume is for a one-dimensional layout without guard plots and with different left and right neighbor effects. The resulting optimal designs may need many blocks or may not even exist as a finite design. The results give lower bounds for optimality criteria on finite designs and the design structure can be used to suggest efficient small designs.
Ann. Statist., Volume 28, Number 6 (2000), 1728-1742.
First available in Project Euclid: 12 March 2002
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62K05: Optimal designs 62K10: Block designs
Secondary: 62P10: Applications to biology and medical sciences
Kunert, J.; Martin, R. J. On the determination of optimal designs for an interference model. Ann. Statist. 28 (2000), no. 6, 1728--1742. doi:10.1214/aos/1015957478. https://projecteuclid.org/euclid.aos/1015957478