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Dniestrzański Piotr (Wrocław University of Economics, Poland)
The Gini Coefficient as a Measure of Disproportionality
Didactics of Mathematics, 2015, nr 12 (16), s. 25-34, tab., bibliogr. 15 poz.
Współczynnik Giniego, Nauczanie, Matematyka
Gini coefficient, Teaching, Mathematics
Measures of inequality, properly adapted, often tend to be used as a tool to address the issue of disproportionality. The most popular of them, such as the Gini or Atkinson coefficient, or entropy coefficient can, under certain circumstances, act as measures of disproportionality. However, one must specify precisely what is to be measured and interpret the results consistently. In this paper we analyze what confusion or outright errors can be committed when using inequality coefficients. The presented analysis is aimed at the Gini coefficient, however, the problem also applies to the rest of the coefficients.(original abstract)
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  1. Ceriani L., Verme P. (2015). Individual diversity and the Gini decomposition. Social Indicators Research 121. Pp. 637-646.
  2. Cowell F. (2011). Measuring Inequality. Oxford University Press.
  3. Dniestrzański P., Łyko J. (2014). Influence of boundary conditions of digressively proportional division on the potential application of proportional rules. Procedia - Social and Behavioral Sciences 109. Pp. 722-729.
  4. Gini C. (1912). Variabilita e mutabilita: contributo allo studio delle relazioni statistiche. Studi Economico-giurdici. Facolta di Giurisprudenza della R. Universita di Cagliari. Anno III. Cuppini. Bologna.
  5. Karpov A. (2008). Measurement of disproportionality in proportional representation systems. Mathematical and Computer Modelling 48. Pp. 1421-1438.
  6. Kendall M.G., Stuart A. (1958). The Advanced Theory of Statistics (1st ed., vol. 1). Hafner Publishing Company. New York.
  7. Łyko J. (2012). The boundary conditions of degressive proportionality. Procedia - Social and Behavioral Sciences 65. Pp. 76-82
  8. Monroe B.L. (1994). Disproportionality and malapportionment: Measuring electoral inequity. Electoral Studies 13. Pp. 132-49.
  9. Ostasiewicz W. (2011). Badania statystyczne. Wolters Kluwer.
  10. Plata-Pérez L., Sánchez-Pérez J., Sánchez-Sánchez F. (2015). An elementary characterization of the Gini index. Mathematical Social Sciences 74. Pp. 79-83.
  11. Raffinetti E., Silletti E., Vernizzi A. (2014). On the Gini coefficient normalization when attributes with negative values are considered. Statistical Methods & Applications.
  12. Starzyńska W. (2006). Statystyka praktyczna. Wydawnictwo Naukowe PWN.
  13. Taagepera R., Grofman B. (2003). Mapping the indices of seats-votes disproportionality and inter-election volatility. Party Politics 9(6). Pp. 659-677.
  14. Taagepera R., Shugart M. (1989). Seats and Votes: The Effects and Determinants of Electoral Systems. Yale University Press. New Haven.
  15. White M.J. (1986). Segregation and diversity measures in population distribution. Population Index 52. Pp. 193-221.
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