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

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  • Miguel E. Iglesias-Martínez

    (Departamento de Telecomunicaciones, Universidad de Pinar del Río, Pinar del Río E-20100, Cuba
    Instituto Universitario de Matemática Pura y Aplicada, Grupo de Modelización Interdisciplinar, InterTech, Universitat Politècnica de València, E-46022 Valencia, Spain)

  • 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
    Current affiliation: Department of Electrical Engineering, Electronics, Automation and Applied Physics, Technical University of Madrid, E-28012 Madrid, 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)

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.

Suggested Citation

  • Miguel E. Iglesias-Martínez & Moisés Hernaiz-Guijarro & Juan Carlos Castro-Palacio & Pedro Fernández-de-Córdoba & J. M. Isidro & Esperanza Navarro-Pardo, 2020. "Machinery Failure Approach and Spectral Analysis to Study the Reaction Time Dynamics over Consecutive Visual Stimuli: An Entropy-Based Model," Mathematics, MDPI, vol. 8(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1979-:d:441016
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    References listed on IDEAS

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    1. Ian Krajbich & Björn Bartling & Todd Hare & Ernst Fehr, 2015. "Rethinking fast and slow based on a critique of reaction-time reverse inference," Nature Communications, Nature, vol. 6(1), pages 1-9, November.
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