Open Access
December2000 On the determination of optimal designs for an interference model
J. Kunert, R. J. Martin
Ann. Statist. 28(6): 1728-1742 (December2000). DOI: 10.1214/aos/1015957478


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.


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J. Kunert. R. J. Martin. "On the determination of optimal designs for an interference model." Ann. Statist. 28 (6) 1728 - 1742, December2000.


Published: December2000
First available in Project Euclid: 12 March 2002

zbMATH: 1103.62358
MathSciNet: MR1835039
Digital Object Identifier: 10.1214/aos/1015957478

Primary: 62K05 , 62K10
Secondary: 62P10

Keywords: Interference model , neighbor effect , optimal design , universal optimality

Rights: Copyright © 2000 Institute of Mathematical Statistics

Vol.28 • No. 6 • December2000
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