Optimal partial triallel cross designs

Article type: Research Article

Authors: Sharma, M.K. | Atsedeweyn, Asrat | Misganaw, Bisrat

Affiliations: University of Gondar, P.B.N. 196, Gondar, Ethiopia. E-mail: [email protected]

Abstract: A method of construction of mating designs for partial triallel cross for p>3 lines is proposed by using mutually orthogonal Latin squares of order p, where p is a prime or power of a prime. The designs are found to be optimal for estimating elementary contrasts of first and second kind of general effects. A method of analysis of these mating designs is also shown by numerical example.

Keywords: Mutually orthogonal Latin squares, partial triallel cross, general effects of first kind, general effects of second kind, randomized block design

DOI: 10.3233/MAS-2011-0216

Journal: Model Assisted Statistics and Applications, vol. 7, no. 2, pp. 99-106, 2012