Construction of structurally incomplete row-column designs for comparing test treatments with control treatments

Abstract

In this paper, construction methods to obtain structurally incomplete row-column designs for comparing test treatments with control treatments which includes structurally incomplete Balanced Treatment - Control Row-Column (BTRC) design and structurally incomplete Balanced Bipartite Row-Column (BBPRC) designs for experimental situations where the experimenter is interested only in a subset of comparisons like in comparing several new treatments, called test treatments with existing (standard) treatment(s), called control treatment(s). For a ready reckoner, the catalogues of structurally incomplete BTRC and BBPRC designs obtainable from the given methods of construction for v1 (number of test treatments), b1 (number of rows), b2 (number of columns), k1 (number of non-empty nodes in rows) and k2 (number of non-empty nodes in columns),