Machinery Failure Approach and Spectral Analysis to Study the Reaction Time Dynamics over Consecutive Visual Stimuli: An Entropy-Based Model

Miguel E. Iglesias-Martínez, Moisés Hernaiz-Guijarro, Juan Carlos Castro-Palacio, Pedro Fernández- de-Córdoba, J. M. Isidro and Esperanza Navarro-Pardo
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Miguel E. Iglesias-Martínez: Departamento de Telecomunicaciones, Universidad de Pinar del Río, Pinar del Río E-20100, Cuba
Moisés Hernaiz-Guijarro: Instituto Universitario de Matemática Pura y Aplicada, Grupo de Modelización Interdisciplinar, InterTech, Universitat Politècnica de València, E-46022 Valencia, Spain
Juan Carlos Castro-Palacio: Instituto Universitario de Matemática Pura y Aplicada, Grupo de Modelización Interdisciplinar, InterTech, Universitat Politècnica de València, E-46022 Valencia, Spain
Pedro Fernández- de-Córdoba: Instituto Universitario de Matemática Pura y Aplicada, Grupo de Modelización Interdisciplinar, InterTech, Universitat Politècnica de València, E-46022 Valencia, Spain
J. M. Isidro: Instituto Universitario de Matemática Pura y Aplicada, Grupo de Modelización Interdisciplinar, InterTech, Universitat Politècnica de València, E-46022 Valencia, Spain
Esperanza Navarro-Pardo: Departamento de Psicología Evolutiva y de la Educación, Grupo de Modelización Interdisciplinar, InterTech, Universitat de València, E-46010 Valencia, Spain

Mathematics, 2020, vol. 8, issue 11, 1-11

Abstract: The reaction times of individuals over consecutive visual stimuli have been studied using an entropy-based model and a failure machinery approach. The used tools include the fast Fourier transform and a spectral entropy analysis. The results indicate that the reaction times produced by the independently responding individuals to visual stimuli appear to be correlated. The spectral analysis and the entropy of the spectrum yield that there are features of similarity in the response times of each participant and among them. Furthermore, the analysis of the mistakes made by the participants during the reaction time experiments concluded that they follow a behavior which is consistent with the MTBF (Mean Time Between Failures) model, widely used in industry for the predictive diagnosis of electrical machines and equipment.

Keywords: reaction time; visual stimuli; fast Fourier transform; spectral analysis; MTBF model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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