The Annals of Statistics

Optimal and efficient crossover designs for comparing test treatments with a control treatment

A. S. Hedayat and Min Yang

Full-text: Open access

Abstract

This paper deals exclusively with crossover designs for the purpose of comparing t test treatments with a control treatment when the number of periods is no larger than t+1. Among other results it specifies sufficient conditions for a crossover design to be simultaneously A-optimal and MV-optimal in a very large and appealing class of crossover designs. It is expected that these optimal designs are highly efficient in the entire class of crossover designs. Some computationally useful tools are given and used to build assorted small optimal and efficient crossover designs. The model robustness of these newly discovered crossover designs is discussed.

Article information

Source
Ann. Statist. Volume 33, Number 2 (2005), 915-943.

Dates
First available in Project Euclid: 26 May 2005

Permanent link to this document
http://projecteuclid.org/euclid.aos/1117114340

Digital Object Identifier
doi:10.1214/009053604000000887

Mathematical Reviews number (MathSciNet)
MR2163163

Zentralblatt MATH identifier
1068.62084

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

Keywords
Crossover designs repeated measurements carryover effect balanced designs A-optimal and MV-optimal crossover designs

Citation

Hedayat, A. S.; Yang, Min. Optimal and efficient crossover designs for comparing test treatments with a control treatment. Ann. Statist. 33 (2005), no. 2, 915--943. doi:10.1214/009053604000000887. http://projecteuclid.org/euclid.aos/1117114340.


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