Construction of Partially Balanced Incomplete Block Designs in Blocks of Size Three Using Cyclic Shifts

Abstract

Partially Balanced Incomplete Block (PBIB) designs play important role in design of experiments, especially in field experiments where Balanced Incomplete Block Designs required a large number of blocks. In this article, PBIB designs are constructed in blocks of size three using method of cyclic shifts. Some standard properties of a design can be expressed just through the sets of shifts; therefore, this method has an edge over existing methods.