Construction of multi-level supersaturated design via Kronecker product

Supersaturated design is a kind of fractional factorial design in which the number of runs is not enough to estimate all the main effects. It has recently received much interest because of its potential in factor screening experiments. In this paper, we propose a method for constructing multi-level supersaturated design via Kronecker product. The resulting design has the good properties such as: its χ² value can be computed exactly and the upper bound on the dependency among all design columns is under control. Illustrating examples followed by some detailed discussions are presented.