Universal Optimality in Balanced Uniform Crossover Design
Yang, Min, 1970 Oct. 28-
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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.
Statistics publications (MU)
The Annals of Statistics 2003, Vol. 31, No. 3, 978-983.