A Characterization of Binary Completely Symmetric Connected Block Designs with v = b Based on n = o(MOD v) Experimental Units.

摘要

It is shown that among binary and connected block designs with and without equal block sizes and equal replications only a symmetric balanced incomplete block design produces a completely symmetric information matrix for the treatment effects whenever the number of blocks is equal to the number of treatments and the number of experimental units is a multiple of the number of treatments. This result contains a known result as a special case.