A measure of one-dimensional asymmetry for qualitative variables

Authors

  • José Moral de la Rubia Universidad Autónoma de Nuevo León http://orcid.org/0000-0003-1856-1458

    Doctor en Filosofía y Ciencias de la Educación por la Universidad de Alcalá (Madrid, España). Psicólogo Especialista en Psicología Clínica (Madrid, España). Profesor-investigador de la Facultad de Psicología de la Universidad Autónoma de Nuevo León. Dirección postal: Calle/ Dr. Carlos Canseco 110. Col. Mitras Centro. CP. 64640 Monterrey, Nuevo León, México.
    Contacto: jose_moral@hotmail.com.

DOI:

https://doi.org/10.18800/psico.202201.017

Keywords:

Skewness, Discrete distribution, Nominal scale, Qualitative variable, Monte Carlo simulation

Abstract

This methodological investigation aims to define a concept of asymmetry for qualitative variables, quantify it, and show its validity. A panel of five expert judges and Monte Carlo simulations were used. The statistic Mean Difference in Frequency (MDF) between pairs of categories ordered by frequency homogeneity was defined. The MDF statistic showed a behavior adjusted to expectations with different variants of the binomial distribution. The correlation between the mean skewness score of the judges and MDF was very high. To obtain interpretive guiding cutoffs, 20,000 samples of sizes 20, 40, 100, 200, 500, and 1000 were simulated, drawn from a binomial distribution. It is concluded that MDF is validity to measure asymmetry in qualitative variables.

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Published

2022-01-03

How to Cite

Moral de la Rubia, J. (2022). A measure of one-dimensional asymmetry for qualitative variables. Revista De Psicología, 40(1), 519–551. https://doi.org/10.18800/psico.202201.017

Issue

Vol. 40 No. 1 (2022)

Section

Articles

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Copyright (c) 2023 Revista de Psicología

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