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Two in One: A New Tool to Combine Two Rankings Based on the Voronoi Diagram

Author

Listed:
  • Francesca Mariani

    (Università Politecnica delle Marche)

  • Mariateresa Ciommi

    (Università Politecnica delle Marche)

  • Maria Cristina Recchioni

    (Università Politecnica delle Marche)

Abstract

In this paper, we propose a novel method for ranking items such as countries, individuals, or firms based on two indices. This approach is particularly useful when constructing a composite indicator that combines both dimensions is not feasible. The proposed ranking approach involves an iterative scheme where the Voronoi algorithm is applied in a two-dimensional space at each step. To provide empirical evidence that our approach works satisfactorily, we applied the Voronoi-based iterative scheme to rank 34 European countries based on two dimensions: the Human Development Index (HDI) and the Happiness Index (HI). The correlation coefficient between the rankings based on HDI and HI is lower than the correlation coefficients between the Voronoi-based ranking and HDI, as well as between the Voronoi-based ranking and HI. These results suggest that the new method is capable of better capturing the information from both original indices.

Suggested Citation

  • Francesca Mariani & Mariateresa Ciommi & Maria Cristina Recchioni, 2024. "Two in One: A New Tool to Combine Two Rankings Based on the Voronoi Diagram," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 175(3), pages 989-1005, December.
    • Handle: RePEc:spr:soinre:v:175:y:2024:i:3:d:10.1007_s11205-023-03192-9
    DOI: 10.1007/s11205-023-03192-9
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