Alias Structures and Sequential Experimentation for Mixed-Level Designs

Armando Javier Ríos-Lira, Yaquelin Verenice Pantoja-Pacheco, José Antonio Vázquez-López, José Alfredo Jiménez-García, Martha Laura Asato-España and Moisés Tapia-Esquivias
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Armando Javier Ríos-Lira: Tecnológico Nacional de México/Instituto Tecnológico de Celaya, Celaya 38010, Mexico
Yaquelin Verenice Pantoja-Pacheco: Tecnológico Nacional de México/Instituto Tecnológico de Celaya, Celaya 38010, Mexico
José Antonio Vázquez-López: Tecnológico Nacional de México/Instituto Tecnológico de Celaya, Celaya 38010, Mexico
José Alfredo Jiménez-García: Tecnológico Nacional de México/Instituto Tecnológico de Celaya, Celaya 38010, Mexico
Martha Laura Asato-España: Tecnológico Nacional de México/Instituto Tecnológico de Celaya, Celaya 38010, Mexico
Moisés Tapia-Esquivias: Tecnológico Nacional de México/Instituto Tecnológico de Celaya, Celaya 38010, Mexico

Mathematics, 2021, vol. 9, issue 23, 1-21

Abstract: Alias structures for two-level fractional designs are commonly used to describe the correlations between different terms. The concept of alias structures can be extended to other types of designs such as fractional mixed-level designs. This paper proposes an algorithm that uses the Pearson’s correlation coefficient and the correlation matrix to construct alias structures for these designs, which can help experimenters to more easily visualize which terms are correlated (or confounded) in the mixed-level fraction and constitute the basis for efficient sequential experimentation.

Keywords: algorithm; simulation; alias; structure; mixed; design (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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