The Annals of Statistics

On the determination of optimal designs for an interference model

J. Kunert and R. J. Martin

Full-text: Open access

Abstract

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.

Article information

Source
Ann. Statist. Volume 28, Number 6 (2000), 1728-1742.

Dates
First available in Project Euclid: 12 March 2002

Permanent link to this document
http://projecteuclid.org/euclid.aos/1015957478

Digital Object Identifier
doi:10.1214/aos/1015957478

Mathematical Reviews number (MathSciNet)
MR1835039

Zentralblatt MATH identifier
1103.62358

Subjects
Primary: 62K05: Optimal designs 62K10: Block designs
Secondary: 62P10: Applications to biology and medical sciences

Keywords
Interference model neighbor effect optimal design universal optimality

Citation

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. http://projecteuclid.org/euclid.aos/1015957478.


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References

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