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Non-Uniqueness of E(s2)-Optimal Supersaturated Designs for N ≡ 2 (mod 4) Runs with Application to the Case N = 10 Runs

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  • Francois K. Domagni,
  • Micheal Neubauer
Francois K. Domagni
Department of Mathematics, California State University, Northridge
Micheal Neubauer
Department of Mathematics, California State University, Northridge
DOI: https://doi.org/10.36253/ijas-16754

Published 2025-09-25

Keywords

  • Supersaturated designs,
  • E(s2)-optimal,
  • Gauss-Dantzig Selector,
  • Experiments

How to Cite

Domagni, F. K., & Neubauer, M. (2025). Non-Uniqueness of E(s2)-Optimal Supersaturated Designs for N ≡ 2 (mod 4) Runs with Application to the Case N = 10 Runs. Italian Journal of Applied Statistics. https://doi.org/10.36253/ijas-16754

Copyright (c) 2024 Francois K. Domagni, Micheal Neubauer

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In factor screening experiments with limited resources, it is common for practitioners to cut down the number of runs N and choose a supersaturated design for the experiment. In the past two decades, E(s2)-optimality has been one of the most important criteria used to choose a supersaturated design. We show that the definition E(s2)-optimal supersaturated designs X for N ≡ 2 (mod 4) runs and m ≥ N factors are not unique by showing that XX⊤ allows for multiple non-isomorphic possibilities for most values of m. For N = 10 and 12 ≤ m ≤ 114 we list all possible E(s2)-optimal designs.

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