Orthogonal arrays and designs for partial triallel crosses

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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.