Fabio Rapallo

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.

We generate all the Orthogonal Arrays (OAs) of a given size n and strength t as the union of a co...llection of OAs which belong to an inclusion-minimal set of OAs. We derive a formula for computing the (Generalized) Word Length Pattern of a union of OAs that makes use of their polynomial counting functions.

form the conference "SIS 2019: Smart Statistics for Smart Applications"

Given an orthogonal array we analyze the aberrations of the sub-fractions which are obtained by the deletion of some of its points. We provide formulae to compute the Generalized Word-Length Pattern of any sub-fraction. In the case of the deletion of one single point, we provide a simple methodology to find which the best sub-fractions are according to the Generalized Minimum Aberration criterion.