OPTIMAL BLOCK DESIGNS WITH UNEQUAL BLOCK SIZES FOR MAKING TEST TREATMENTS-CONTROL COMPARISONS UNDER A HETEROSCEDASTIC MODEL∗ By RAJENDER PARSAD and V.K. GUPTA

Incomplete Block Designs for Multiple Asymmetric Parallel Line Assays

A method of construction of A-optimal binary block designs for multiple asymmetrical parallel line assays has been proposed. Illustration of the method with examples has been provided. By this method two series of designs are obtained. The first series of designs have equal replication of treatments with unequal block sizes. The second series of designs have equal block sizes with unequal repli...

Nested Designs

1. Nested Block Designs Heterogeneity in the experimental material is the most important problem to be reckoned within the statistical design of scientific experiments. If it is not suitably taken care of, in designing of an experiment, is likely to over shadow the real treatment differences making them remain undetected, unless they are large enough. Occasionally, one can find a certain factor...

Basic Experimental Designs

A-efficient balanced treatment incomplete block designs

The purpose of this paper is to present a large number of highly A-efficient incomplete block designs for making comparisons among a set of test treatments and a control treatment. These designs are BTIB designs. A simple method of construction of BTIB designs, based on BIB designs is proposed. The advantage of this method is that one can use the vast literature on BIB designs to obtain a large...

Nested Block Designs

1. Introduction Heterogeneity in the experimental material is the most important problem to be reckoned within the statistical design of scientific experiments. As if it is not suitably taken care of, in designing of an experiment, is likely to over shadow the real treatment differences making them remain undetected, unless they are large enough. Occasionally, one can find a certain factor (cal...