The Annals of Statistics

Optimal cross-over designs for full interaction models

R. A. Bailey and P. Druilhet

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Abstract

We consider repeated measurement designs when a residual or carry-over effect may be present in at most one later period. Since assuming an additive model may be unrealistic for some applications and leads to biased estimation of treatment effects, we consider a model with interactions between carry-over and direct treatment effects. When the aim of the experiment is to study the effects of a treatment used alone, we obtain universally optimal approximate designs. We also propose some efficient designs with a reduced number of subjects.

Article information

Source
Ann. Statist., Volume 42, Number 6 (2014), 2282-2300.

Dates
First available in Project Euclid: 20 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aos/1413810728

Digital Object Identifier
doi:10.1214/14-AOS1247

Mathematical Reviews number (MathSciNet)
MR3269980

Zentralblatt MATH identifier
1302.62172

Subjects
Primary: 62K05: Optimal designs 62K10: Block designs

Keywords
Cross-over designs repeated measurement designs interference models optimal design total effects

Citation

Bailey, R. A.; Druilhet, P. Optimal cross-over designs for full interaction models. Ann. Statist. 42 (2014), no. 6, 2282--2300. doi:10.1214/14-AOS1247. https://projecteuclid.org/euclid.aos/1413810728


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