The Annals of Statistics
- Ann. Statist.
- Volume 46, Number 6A (2018), 2939-2959.
On MSE-optimal crossover designs
In crossover designs, each subject receives a series of treatments one after the other. Most papers on optimal crossover designs consider an estimate which is corrected for carryover effects. We look at the estimate for direct effects of treatment, which is not corrected for carryover effects. If there are carryover effects, this estimate will be biased. We try to find a design that minimizes the mean square error, that is, the sum of the squared bias and the variance. It turns out that the designs which are optimal for the corrected estimate are highly efficient for the uncorrected estimate.
Ann. Statist., Volume 46, Number 6A (2018), 2939-2959.
Received: December 2016
Revised: October 2017
First available in Project Euclid: 7 September 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Neumann, Christoph; Kunert, Joachim. On MSE-optimal crossover designs. Ann. Statist. 46 (2018), no. 6A, 2939--2959. doi:10.1214/17-AOS1644. https://projecteuclid.org/euclid.aos/1536307238