Abstract
This chapter represents two new series of partially balanced incomplete block (PBIB) designs. Association matrices based on incidence relation of vertices of a bi-partite graph of order s (s>=3) are being taken as base design. The foundation series of given PBIB designs are used to construct two more series of PBIB patterns, having three and four associated class, respectively, through promoting an idea of juxtapositions in association matrices of base design. To better comprehend the construction procedures, association schemes, P – matrices, efficiency factors of all types, as well as total efficiency, factors have been examined with examples from above series.
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