A neighbor balanced design and its optimal certainty contribution ^*

Specially in an agricultural design of experiment, the nature of the treatments may be such that the treatment received by a plot may influence the responses on the neighboring plots or the following plot in the same block. As an example of the second condition, the tall varieties may affect the other crops grown on the neighbor plots by their shades. Bailey ((2003). Designs for one-sided neighbor effect, Jour. Ind. Soc. Ag. Statistics, 56(3), 302–314) has developed such design concerned with the study of one sided neighbor effect, under the above mentioned second condition. This paper gives a new series of Universally Optimal One-Sided Circular Neighbor Balanced Designs.