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This paper deals exclusively with crossover designs for the purpose ofcomparing t test treatments with a control treatment when the number of periodsis no larger than t+1. Among other results it specifies sufficient conditionsfor a crossover design to be simultaneously A-optimal and MV-optimal in a verylarge and appealing class of crossover designs. It is expected that theseoptimal designs are highly efficient in the entire class of crossover designs.Some computationally useful tools are given and used to build assorted smalloptimal and efficient crossover designs. The model robustness of these newlydiscovered crossover designs is discussed.

Optimal and efficient crossover designs for comparing test treatments with a control treatment