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Articles

Graphical Measures Summarizing the Inequality of Income of Two Groups

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Pages 20-25 | Received 25 Feb 2020, Accepted 24 Nov 2021, Published online: 31 Jan 2022

References

  • Arnold, B. C. (2015), Pareto Distributions (2nd. ed.), Boca Raton, FL: Chapman and Hall/CRC.
  • Arnold, B. C., Sarabia, J. M. (2018), Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics, Springer International Publishing.
  • Bureau of Labor Statistics. (2021), “Earnings Concepts and Definitions.” Available at https://www.bls.gov/cps/definitions.htm#earnings.
  • Blau, F. D., and Kahn, L. M. (2000), “Gender Differences in Pay,” Journal of Economic Perspectives, 14, 75–99. DOI: 10.1257/jep.14.4.75.
  • Blau, F. D., and Kahn, L. M. (2017), “The Gender Wage Gap: Extent, Trends, and Explanations,” Journal of Economic Literature, 55, 789–865.
  • Cowell, F. (2011), Measuring Inequality (3rd ed.), Oxford: Oxford University Press.
  • Cowell, F., and Mehta, F. (1982), “The Estimation and Interpolation of Inequality Measures,” The Review of Economic Studies, 49, 273–290. DOI: 10.2307/2297275.
  • Divine, G. W., Norton, H. J., Baron, A. E., and Juarez-Colunga, E. (2018), “The Wilcoxon–Mann–Whitney Procedure Fails as a Test of Medians,” The American Statistician, 72, 278–286. DOI: 10.1080/00031305.2017.1305291.
  • Federal Reserve Board (2020), “Changes in U.S. Family Finances from 2016 to 2019: Evidence from the Survey of Consumer Finances,” Federal Reserve Bulletin, 106, 1–42. DOI: 10.17016/bulletin.2020.106.
  • Gastwirth, J. L. (1971), “A General Definition of the Lorenz Curve,” Econometrica, 39, 1037–1039. DOI: 10.2307/1909675.
  • Gastwirth, J. L. (1975), “Statistical Measures of Earnings Differentials,” The American Statistician, 29, 32–35.
  • Gastwirth, J. L. (1988), Statistical Reasoning in Law and Public Policy (Vol. 1), Statistical Concepts an Issues of Fairness, New York: Academic Press.
  • Gastwirth, J. L. (2016), “Measures of Economic Inequality Focusing on the Status of the Lower and Middle Income Groups,” Statistics and Public Policy, 3, 1–9.
  • Goldin C., Kerr S. P., Olivetti C., and Barth E. (2017), “The Expanding Gender Earnings Gap: Evidence from the LEHD-2000 Census,” American Economic Review: Papers and Proceedings, 107, 110–114. DOI: 10.1257/aer.p20171065.
  • Jasso, G. (2018), “Anything Lorenz Curves Can Do, Top Shares Can Do: Assessing the TopBot Family of Inequality Measures,” Sociological Methods & Research, 49, 947–981.
  • Krieger, A. M. (1983), “Bounding Moments from Grouped Data and the Importance of Group Means,” Sankhya, Series B, 45, 309–319.
  • Leimkuhler, F. F. (1967), “The Bradford Distribution,” Journal of Documentation, 23, 197–207. DOI: 10.1108/eb026430.
  • Lyon, M., Cheung, L. C., and Gastwirth, J. L. (2016), “The Advantages of Using Group Means in Estimating the Lorenz Curve and Gini Index From Grouped Data,” The American Statistician, 70, 25–32. DOI: 10.1080/00031305.2015.1105152.
  • Mehrota, D., Lu, X., and Li, X. (2010), “Rank-Based Analyses of Stratified Experiments: Alternatives to the van Elteren Test,” The American Statistician, 64, 121–130. DOI: 10.1198/tast.2010.08121.
  • Oosterhoff, J. (1969), Combination of One-sided Statistical Tests (Vol. 28), Amsterdam: Mathematical Centre Tracts.
  • Prendergast, L. A., and Staudte, R. G. (2018), “A Simple and Effective Inequality Measure,” The American Statistician, 72, 328–343. DOI: 10.1080/00031305.2017.1366366.
  • Sarabia, J. M. (2008), “A General Definition of the Leimkuhler Curve,” Journal of Infometrics, 2, 156–163. DOI: 10.1016/j.joi.2008.01.002.
  • Sarabia, J. M., Gomez-Deniz, E. Sarabia, M., and Prieto, F. (2010), “A General Method for Generating Parametric Lorenz and Leimkuhler Curves,” Journal of Infometrics, 4, 524–539. DOI: 10.1016/j.joi.2010.06.002.
  • Uniform Guidelines on Employee Selection Procedures (1978), 43 Fed. Reg. 38290-38315.
  • U.S. Census Bureau (2017), “Table PINC-11. Income Distribution to $250,000 or More for Males and Females. Current Population Survey.” Available at https://www.census.gov/data/tables/time-series/demo/income-poverty/cps-pinc/pinc-11.html
  • Van Elteren, P. H. (1960), “On the Combination of Independent Two Sample Tests of Wilcoxon,” Bulletin of the International Institute of Statistics, 37, 351–361.