Simulations on the Combinatorial Structure of D-Optimal Designs

Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 231)

Abstract

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.

Keywords

Algebraic statistics Circuits Design of experiments Fractional factorial designs Optimal designs 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department DISMAPolitecnico di TorinoTorinoItaly
  2. 2.Department DISITUniversità del Piemonte OrientaleAlessandriaItaly

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