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Simulations on the Combinatorial Structure of D-Optimal Designs

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Statistics and Simulation (IWS 2015)

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

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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.

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Author information

Authors and Affiliations

  1. Department DISMA, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10127, Torino, Italy

    Roberto Fontana

  2. Department DISIT, Università del Piemonte Orientale, Viale Teresa Michel 11, 15121, Alessandria, Italy

    Fabio Rapallo

Authors
  1. Roberto Fontana
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  2. Fabio Rapallo
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Corresponding author

Correspondence to Roberto Fontana .

Editor information

Editors and Affiliations

  1. Institute of Statistics, Alpen-Adria University of Klagenfurt, Klagenfurt, Austria

    Jürgen Pilz

  2. Institute of Applied Statistics and Computing, University of Natural Resources and Life Sciences, Vienna, Austria

    Dieter Rasch

  3. St. Petersburg State University, St. Petersburg, Russia

    Viatcheslav B. Melas

  4. Institute of Applied Statistics and Computing, University of Natural Resources and Life Sciences, Vienna, Austria

    Karl Moder

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Fontana, R., Rapallo, F. (2018). Simulations on the Combinatorial Structure of D-Optimal Designs. In: Pilz, J., Rasch, D., Melas, V., Moder, K. (eds) Statistics and Simulation. IWS 2015. Springer Proceedings in Mathematics & Statistics, vol 231. Springer, Cham. https://doi.org/10.1007/978-3-319-76035-3_24

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