Orthogonal arrays and designs for partial triallel crosses

Abstract

Some block designs for Partial triallel crosses (PTC) are constructed in this paper using (a) orthogonal arrays (p2, r, p, 2), where p is prime or a power of prime and (b) semi - balanced arrays (p (p − 1)/2, p, p, 2), where p is a prime or power of an odd prime. Designs constructed are optimal in the sense of Kiefer (1975). Some new designs for PTC experiments are also obtained.