BIB Designs with Variable Support Sizes When Blocks are of Size Three.

摘要

A BIB design based on v treatments, b blocks each of size k has support size B* if exactly b* of the b blocks are distinct. BIB designs with b* < b have interesting applications in design of experiments and finite population sampling. A method called trade off is introduced which is very powerful for the construction of BIB designs with b* < b. This method is applied to the case of v = 7, k = 3.