Abstract

Ting and Notz (1988) have only considered the construction of block designs for comparing test treatments with a control when the block size k > v , and have also given a catalogue of A− optimal designs for such comparisons. In this paper, we have constructed such a type of designs using a new method called cyclic shifts or set(s) of shifts. The important feature of this method is that the properties of a design can be obtained from the off-diagonal elements of the concurrence matrix without constructing the actual blocks of the design. These newly proposed designs possess the property of A− optimality for some specific values of v , b and block size k (> v) .

Author: Ijaz Iqbal and M. H. Tahir

Received on: May, 2007

Accepted on: May, 2008