Universal Optimality in Balanced Uniform Crossover Design
Metadata[+] Show full item record
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 = λt experimental units, a balanced uniform design is universally optimal for direct treatment effects if t ≥ 3 and λ = 1, or if t ≥ 6 and λ = 2. This result is generalized to t ≥ 3 as long as λ ≤ (t −1)/2.
The Annals of Statistics 2003, Vol. 31, No. 3, 978-983.