Row-column designs balanced for non-directional neighbour effects

摘要

In this paper, a class of row-column design incorporating neighbour effects has been studied. A row-column design is said to be neighbour balanced if every treatment has all other treatments appearing as neighbour(s) constant number of times. We have considered here row-column designs with non-directional neighbour effects and method of constructing these designs has been developed. The characterization properties of the designs have also been studied and the designs are found to be variance balanced for the estimation of direct and neighbour effects of treatments.