Simulations on the Combinatorial Structure of D-Optimal Designs

In this work, we present the results of several simulations on main-effect factorial designs. The... goal of such simulations is to investigate the connections between the D-optimality of a design and its geometric structure. By means of a combinatorial object, namely the circuit basis of the model matrix, we show that it is possible to define a simple index that exhibits strong connections with the D-optimality.