Abstract: Designs involving sequences of treatments (also called changeover, crossover, or repeated measurements designs) balanced for first and second residuals available in literature are usually large even for a moderate number of treatments. Besides, most of these designs require number of periods at least equal to the number of treatments. In this paper a class of variance balanced circular designs for prime or prime power number of treatments, v (=mp+1; m, a positive integer) using p (⩾4, <v) periods and only mv experimental units has been proposed. A simple method of analysis of these designs is given and the efficiency factors relative to the orthogonal designs have been tabulated for v⩽31 and p⩾4, ⩽12.
Keywords: Change-over designs, first residual effects, repeated measurements designs, second residual effects