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Biometrika 1969 56(2):283-293; doi:10.1093/biomet/56.2.283
© 1969 by Biometrika Trust
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Cyclic change-over designs

A. W. DAVIS and W. B. HALL

Division of Mathematical Statistics, C.S.I.R.O Adelaide

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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