On Some Methods of Construction of Balanced Ternary Designs

Abstract

The present thesis is concerned with some systematic methods of construction of Balanced Ternary designs. In Chapter II of the thesis, two methods of construction of Balanced Ternary designs are discussed. These designs have been constructed through balanced Incomplete Block (BIB) designs with lemda=1,2. In Chapter III, three new series of Balanced Ternary designs are obtained, using the method of differences. The first of these series is for even number of treatments and has special significance, the difference set solution for even number of varieties are not available is literature. The other two series of designs are obtained with the minimum block size, viz 9. Some other designs are obtained through trial and error also. A list of designs having 15 or less treatments is appended along with their solutions. In the last Chapter, some Balance Ternary designs with equal block sizes but unequal replication of treatments are obtained. Actual layout (non-randomised) of such designs with 14 or less treatments have been appended.