Open Access
February 2013 Universally optimal crossover designs under subject dropout
Wei Zheng
Ann. Statist. 41(1): 63-90 (February 2013). DOI: 10.1214/12-AOS1074


Subject dropout is very common in practical applications of crossover designs. However, there is very limited design literature taking this into account. Optimality results have not yet been well established due to the complexity of the problem. This paper establishes feasible, as well as necessary and sufficient conditions for a crossover design to be universally optimal in approximate design theory in the presence of subject dropout. These conditions are essentially linear equations with respect to proportions of all possible treatment sequences being applied to subjects and hence they can be easily solved. A general algorithm is proposed to derive exact designs which are shown to be efficient and robust.


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Wei Zheng. "Universally optimal crossover designs under subject dropout." Ann. Statist. 41 (1) 63 - 90, February 2013.


Published: February 2013
First available in Project Euclid: 5 March 2013

zbMATH: 1347.62168
MathSciNet: MR3059410
Digital Object Identifier: 10.1214/12-AOS1074

Primary: 62K05
Secondary: 62J05

Keywords: Crossover designs , efficiency , robustness , subject dropout , universal optimality

Rights: Copyright © 2013 Institute of Mathematical Statistics

Vol.41 • No. 1 • February 2013
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