Construction of Different Neighbour Balanced Incomplete Block Designs using Co-primes to Prime number (s) and v = s

Abstract

In field experiment of agriculture it is assumed that treatments are independent to each other but it is not true in all cases. In certain situations treatments are affected by their neighbors and special concern arises when treatment effect is small and neighbour effect is high which leads to inflate the error term. Usual experimental designs may not be applied here and hence neighbour designs are recommended for such situations. In neighbour designs, treatments are allotted in such a way that every treatment may occur equal number of times with every other treatment as neighbour such designs are said to be Neighbour Balanced Designs (NBD). Our aim is to construct neighbour design which may be balanced or incomplete balanced.