Supersaturated designs are common choice for screening experiments. This paper studies the properties of supersaturated designs. We give new lower bounds of E(s2)-criterion and E(fNOD)-criterion. Some linkages between the combined/double design and its original design are firstly provided, and the lower bounds of E(s2) and E(fNOD) for the combined/double design are also given. Furthermore, the close relationship between the minimum Lee-moment aberration criterion and the criteria for optimal supersaturated designs is revealed. These theoretical...
