Universal optimality of balanced uniform crossover designs

A. Hedayat · Min Yang

48 citations0/0 files storedThe Annals of Statistics

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Statistical Methods in Clinical Trials

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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References

1975Construction and optimality of generalized Youden designs II 1980Balanced Repeated Measurements Designs 1978Repeated Measurements Designs, II 1983Optimal Design and Refinement of the Linera Model with Applications to Repeated Measurements Designs 1984Optimality of Balanced Uniform Repeated Measurements Designs 1985Construction and Optimality of Generalized Youden Designs 1997Optimal repeated measurements designs: the linear optimality equations 19963 Optimal crossover designs

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2009Circular Strongly Balanced Repeated Measurements Designs 2007A review of uniform cross-over designs 2004Universal Optimality for Selected Crossover Designs 2009Circular First- and Second-Order Balanced Repeated Measurements Designs

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