Generators to Construct an Efficient Generalized Class of Minimal Circular Neighbor Designs

A design that is robust to neighbor effects is one that can protect against the neighbor effects. In situations where minimal circular balanced neighbor designs (MCBNDs) cannot be constructed, minimal circular weakly balanced neighbor designs-I (MCWBNDs-I) are preferred, which is an efficient generalized class. MCWBNDs-I are neighbor designs in which v/2 pairs of distinct treatments appear twice as neighbors, while the remaining pairs appear once. New generators are developed in this study to obtain MCWBNDs-I in blocks of three different sizes.