Artículo
Multiple Ordinal Correlation Based on Kendall’s Tau Measure : a Proposal
Autor/es | Muñoz Pichardo, Juan Manuel
Lozano Aguilera, Emilio D. Pascual Acosta, Antonio Muñoz Reyes, Ana María |
Departamento | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Fecha de publicación | 2021 |
Fecha de depósito | 2022-07-01 |
Publicado en |
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Resumen | The joint analysis of various ordinal variables is necessary in many experimental studies
within research fields such as sociology and psychology. Therefore, the necessary measures of
multiple ordinal dependence must be ... The joint analysis of various ordinal variables is necessary in many experimental studies within research fields such as sociology and psychology. Therefore, the necessary measures of multiple ordinal dependence must be easy to interpret and facilitate the interpretation of multivariate models that fit ordinal data. The main objective of this article is to propose a multiple ordinal correlation measure based on a bivariate correlation measure: Kendall’s tau. A sample version of the measure is proposed for its estimation. Furthermore, a confidence interval and a multiple ordinal independence test are proposed. The measure is applied to various simulations, covering a wide range of multiple ordinal dependency scenarios, in order to illustrate the adequacy of the measure and the proposed inferential techniques. Finally, the measure is applied to a real-world study based on a social survey of the levels of life satisfaction and the happiness index of a population. |
Cita | Muñoz Pichardo, J.M., Lozano Aguilera, E.D., Pascual Acosta, A. y Muñoz Reyes, A.M. (2021). Multiple Ordinal Correlation Based on Kendall’s Tau Measure : a Proposal. Mathematics, 9, 2-16. |
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