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.

Keywords:

• Balanced array
• Mating design
• Optimality
• Orthogonal array
• Partial triallel crosses

AMS classification:

• 62K05

Acknowledgements

The authors are thankful to the anonymous reviewers for their comments and suggestions.