Partially Balanced Change-Over Designs Based on M-Associate Class PBIB Designs

Summary The authors systematically investigate the class of change-over designs that are partially balanced for the estimation of the elementary direct and residual effects contrasts, and whose constructions are based on m-associate PBIB designs. In light of the complicated mathematical structure of the analysis, there is a need to introduce restrictions on the various incidence relations. By means of these assumed constraints the concept of partially balanced change-over designs based on m-associate class PBIB designs [PBCOD(m)] is defined. Four new series of these designs are constructed and illustrated.