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December 2014 Optimal cross-over designs for full interaction models
R. A. Bailey, P. Druilhet
Ann. Statist. 42(6): 2282-2300 (December 2014). DOI: 10.1214/14-AOS1247


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.


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R. A. Bailey. P. Druilhet. "Optimal cross-over designs for full interaction models." Ann. Statist. 42 (6) 2282 - 2300, December 2014.


Published: December 2014
First available in Project Euclid: 20 October 2014

zbMATH: 1302.62172
MathSciNet: MR3269980
Digital Object Identifier: 10.1214/14-AOS1247

Primary: 62K05 , 62K10

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

Rights: Copyright © 2014 Institute of Mathematical Statistics


Vol.42 • No. 6 • December 2014
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