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Un modelo no-paramétrico y multidireccional en investigación cuantitativa

  • Murillo, Kelly ; Miguel Rocha, Eugénio Alexander [1]
    1. [1] Universidade de Aveiro

      Universidade de Aveiro

      Vera Cruz, Portugal

  • Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 8, Nº. 2, 2021 (Ejemplar dedicado a: August - December), págs. 235-247
  • Idioma: español
  • DOI: 10.17268/sel.mat.2021.02.03
  • Títulos paralelos:
    • A non-parametric and multidirectional model in quantitative research
  • Enlaces
  • Resumen
    • español

      En este trabajo, es presentado un enfoque no paramétrico y determinístico basado en análisis de eficiencia multidireccional (MEA). El modelo propuesto envuelve MEA con otras técnicas matemáticas importantes en el análisis de datos, como el cálculo del valor NC para el análisis de grupos con diferentes niveles de eficiencia. Este modelo, permite examinar los factores que influyen en el comportamiento de unidades de decisión de diferentes contextos como eficiencia empresaria, calidad educativa, eficiencia energética, economía circular, entre otros. Particularmente en este trabajo, mostramos los resultados obtenidos en 1787 empresas portuguesas en el sector de fabricación de materiales (fabricación de madera y papel; fabricación de productos de caucho, plásticos y otros productos minerales no metálicos; fabricación de metales comunes y productos metálicos, excepto maquinaria y equipos) en un periodo de ocho años (2006-2013) de estudio. Los resultados permiten, no solo una caracterización de la estructura financiera del sector y un diagnóstico a través de índices que identifican el posicionamiento estratégico de las empresas en términos de puntajes de eficiencia; sino también una caracterización de las unidades más eficientes y un análisis de las variables que deben abordarse de manera diferente, para obtener mejores resultados, en términos de desempeño económico.

    • English

      In this work, a non-parametric and deterministic approach based on multidirectional efficiency analysis (MEA) is presented. The proposed model involves MEA with other important mathematical techniques in data analysis, such as the calculation of the NC value for the analysis of groups with different levels of efficiency. This model allows us to examine the factors that influence the behavior of decision-making units in different contexts such as business efficiency, educational quality, energy efficiency, circular economy, among others. Particularly in this work, we show the results obtained in 1787 Portuguese companies in the materials manufacturing sector (manufacture of wood and paper; manufacture of rubber products, plastics and other non-metallic mineral products; manufacture of common metals and metallic products, except machinery and equipment) in an eight-year period (2006-2013) of study. The results allow, not only a characterization of the financial structure of the sector and a diagnosis through indices that identify the strategic positioning of companies in terms of efficiency scores; but also a characterization of the most efficient units and an analysis of the variables that must be addressed differently, to obtain better results, in terms of economic performance.

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