The Annals of Statistics

On MSE-optimal crossover designs

Christoph Neumann and Joachim Kunert

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Abstract

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.

Article information

Source
Ann. Statist., Volume 46, Number 6A (2018), 2939-2959.

Dates
Received: December 2016
Revised: October 2017
First available in Project Euclid: 7 September 2018

Permanent link to this document
https://projecteuclid.org/euclid.aos/1536307238

Digital Object Identifier
doi:10.1214/17-AOS1644

Mathematical Reviews number (MathSciNet)
MR3851760

Zentralblatt MATH identifier
06968604

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

Keywords
Optimal design crossover design MSE-optimality

Citation

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


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