A NOTE ON OPTIMAL PARTIAL TRIALLEL CROSS DESIGNS

摘要

Two simple alternative methods of construction of optimal partial triallel cross designs (unblocked and blocked) for p > 3 lines are proposed by using transversal and parallel transversals of a Latin square of order p, where p is a prime or power of aprime. Sharma et al. (2011) and Sharma and Fanta (2012) also constructed these designs by using two mutually orthogonal Latin squares, but we constructed these designs only taking one Latin square. Therefore, our methods are simple in comparison to their methods. These designs are found to be optimal in the sense of Kiefer (1975) and Das and Gupta (1997).