Optimal partial triallel cross designs

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