Abstract
Residual treatment effects designs are designs in which the effect of the treatment continues beyond the period of its application. Most of the residual treatment effects designs available in the literature have considered only the first order residual effects. Sharma [Change-over designs with complete balance for first and second residual effects. Canad. J. Statist. 5(1), 121–132.] presented a method of construction of change-over designs with complete balance for first and second order residual effects. Collombier and Merchermek [Optimal cross-over experimental designs. Sankhya Ser. B 55, 249–261.] and Bose and Mukherjee [Cross-over designs in the presence of higher order carry-overs. Austral. New Zealand J. Statist. 42, 235–244.] studied optimal cross-over experimental designs for higher order residual effects. In this paper, we have constructed some balanced residual treatment effects designs of first and second order.
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