A class of cyclic change-over designs, existing for any number of treatments and periods, is defined as a simple extension of the cyclic incomplete block designs. The analysis is presented for direct and first-order residnal effects of treatments but the method generalizes for residual effects of higher order. Cyclic change-over designs may be analysed after any number of periods and extra periods may be added. A table of selected designs is given for 6 to 20 treatments in 3, 4 or 5 periods. The efficiencies of these designs compare favourably with existing designs and in general the cyclic designs require fewer units.
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Davis et al. (1969) studied this question.
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