A Note on the Resolvability of Balanced Incomplete Block Designs

1. A balanced incomplete block design with parameters, v, b, r, k, .\ is said to be resolvable if the blocks of a design are separable into r sets of n blocks each (implying b=nr) in such a way that each variety occurs only once among the n blocks of a set forming a complete replication (obviously v=nk). Bose ( 1942 ) has proved a number of relations obtaining among the parameters of a resolvable design. The important ones are as follows :-