Addition of runs to an s-level supersaturated design

The purpose of the present work is to extend the work of Gupta et al. (2010) to s  -level column balanced supersaturated designs. Addition of runs to an existing E(χ2)-optimalE(χ2)-optimal supersaturated design and to study the optimality of the resulting design is an important issue. This paper considers the study of the optimality of the resulting design. A lower bound to E(χ2)E(χ2) has been obtained for the extended supersaturated designs. Some examples and a small catalogue of E(χ2)-optimalE(χ2)-optimal supersaturated designs are also presented.