## The Annals of Statistics

### Universal optimality of balanced uniform crossover designs

#### Abstract

Kunert [Ann. Statist. 12 (1984) 1006-1017] proved that, in the class of repeated measurement designs based on t treatments, p=t periods and $n=\lambda t$ experimental units, a balanced uniform design is universally optimal for direct treatment effects if $t \geq 3$ and $\lambda=1$, or if $t \geq 6$ and $\lambda=2$. This result is generalized to $t \geq 3$ as long as $\lambda \leq (t-1)/2$.

#### Article information

Source
Ann. Statist., Volume 31, Number 3 (2003), 978-983.

Dates
First available in Project Euclid: 25 June 2003

Permanent link to this document
https://projecteuclid.org/euclid.aos/1056562469

Digital Object Identifier
doi:10.1214/aos/1056562469

Mathematical Reviews number (MathSciNet)
MR1994737

Zentralblatt MATH identifier
1028.62060

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

#### Citation

Hedayat, A. S.; Yang, Min. Universal optimality of balanced uniform crossover designs. Ann. Statist. 31 (2003), no. 3, 978--983. doi:10.1214/aos/1056562469. https://projecteuclid.org/euclid.aos/1056562469

#### References

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• DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTER SCIENCE UNIVERSITY OF ILLINOIS 851 SOUTH MORGAN STREET
• CHICAGO, ILLINOIS 60607-7045 E-MAIL: heday at@uic.edu DEPARTMENT OF MATHEMATICS AND STATISTICS UNIVERSITY OF NEBRASKA 810 OLDFATHER HALL
• LINCOLN, NEBRASKA 68588-0323 E-MAIL: my ang@math.unl.edu