Some Series of Row-Column Designs with Multiple Units Per Cell

Abstract

ABSTRACT: Row-column designs with multiple units per cell are used when the number of treatments is substantially large with limited number of replicates controlling heterogeneity in two directions. Here, some methods of constructing row-column designs with multiple units per cell with equal/unequal cell sizes have been developed that are structurally complete, i.e. all the cells corresponding to the intersection of row and column receive at least two treatments. Properties of these classes of designs have been studied and all the methods result in designs in which the elementary contrasts of treatment effects are estimated with same variance. One series of row-column designs with unequal replications has also been obtained. Effciency of the designs obtained has also been worked out.