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June 2003 Universal optimality of balanced uniform crossover designs
A. S. Hedayat, Min Yang
Ann. Statist. 31(3): 978-983 (June 2003). DOI: 10.1214/aos/1056562469

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 $\lambda \leq (t-1)/2$.

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A. S. Hedayat. Min Yang. "Universal optimality of balanced uniform crossover designs." Ann. Statist. 31 (3) 978 - 983, June 2003. https://doi.org/10.1214/aos/1056562469

Information

Published: June 2003
First available in Project Euclid: 25 June 2003

zbMATH: 1028.62060
MathSciNet: MR1994737
Digital Object Identifier: 10.1214/aos/1056562469

Subjects:
Primary: 62K05
Secondary: 62K10

Keywords: Balanced design , carryover effect , crossover design , repeated measurements

Rights: Copyright © 2003 Institute of Mathematical Statistics

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Vol.31 • No. 3 • June 2003
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