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Analyzing the Effects of Negative and Non-negative Values on Income Inequality: Evidence from the Survey of Household Income and Wealth of the Bank of Italy (2012)

Author

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  • Emanuela Raffinetti

    (Università degli Studi di Milano)

  • Elena Siletti

    (Università degli Studi di Milano)

  • Achille Vernizzi

    (Università degli Studi di Milano)

Abstract

Generally, inequality indices play a basic role in the analysis of welfare economics, also appearing as technical tools applied to income data. A good deal of findings in this research field is provided by the Gini coefficient, typically used for non-negative income values. Even if negative income is often an unfamiliar concept, its presence in real surveys may lead to difficulty in applying the classical Gini-based inequality measures, as they lie outside their standard ranges. In this paper, the more general issue of negative values is considered and a reformulation of the main Gini-based inequality measures adjusted for the problem of negative values is adopted with the purpose of providing theoretical extensions for the income decomposition approach by both income sources and area components. Investigations about the related inferential issues, conducted thorough simulation studies based on resampling techniques, highlight how the traditional approach of removing negative income values may yield different results in terms of inequality estimation, proving that the proposed approach, based on preserving negative values, is the more appropriate practice to follow to avoid the loss of data that really provide a coherent picture of the inequality condition.

Suggested Citation

  • Emanuela Raffinetti & Elena Siletti & Achille Vernizzi, 2017. "Analyzing the Effects of Negative and Non-negative Values on Income Inequality: Evidence from the Survey of Household Income and Wealth of the Bank of Italy (2012)," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 133(1), pages 185-207, August.
  • Handle: RePEc:spr:soinre:v:133:y:2017:i:1:d:10.1007_s11205-016-1354-x
    DOI: 10.1007/s11205-016-1354-x
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    1. Héctor H. Sandoval & Carlos M.Urzúa, 2009. "Negative Net Incomes and the Measurement of Poverty: A Note," Revista de Administración, Finanzas y Economía (Journal of Management, Finance and Economics), Tecnológico de Monterrey, Campus Ciudad de México, vol. 3(1), pages 29-36.
    2. Joshua D. Angrist & Jörn-Steffen Pischke, 2010. "The Credibility Revolution in Empirical Economics: How Better Research Design Is Taking the Con out of Econometrics," Journal of Economic Perspectives, American Economic Association, vol. 24(2), pages 3-30, Spring.
    3. Chen, Chau-Nan & Tsaur, Tien-Wang & Rhai, Tong-Shieng, 1982. "The Gini Coefficient and Negative Income," Oxford Economic Papers, Oxford University Press, vol. 34(3), pages 473-478, November.
    4. Stéphane Mussard & Pi Alperin María Noel & Françoise Seyte & Michel Terraza, 2005. "Extensions Of Dagum’S Gini Decomposition," Cahiers de recherche 05-07, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    5. Peter J. Lambert & Shlomo Yitzhaki, 2013. "The Inconsistency Between Measurement and Policy Instruments in Family Income Taxation," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 69(3), pages 241-255, September.
    6. Emanuela Raffinetti & Elena Siletti & Achille Vernizzi, 2015. "On the Gini coefficient normalization when attributes with negative values are considered," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(3), pages 507-521, September.
    7. Frick, Joachim R. & Goebel, Jan & Schechtman, Edna & Wagner, Gert G. & Yitzhaki, Shlomo, 2006. "Using Analysis of Gini (ANOGI) for Detecting Whether Two Subsamples Represent the Same Universe: The German Socio-Economic Panel Study (SOEP) Experience," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 34(4), pages 427-468.
    8. Feng, Shuaizhang & Burkhauser, Richard V. & Butler, J.S., 2006. "Levels and Long-Term Trends in Earnings Inequality: Overcoming Current Population Survey Censoring Problems Using the GB2 Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 57-62, January.
    9. Podder, Nripesh & Chatterjee, Srikanta, 2002. "Sharing the national cake in post reform New Zealand: income inequality trends in terms of income sources," Journal of Public Economics, Elsevier, vol. 86(1), pages 1-27, October.
    10. Justin Van De Ven & John Creedy, 2005. "Taxation, Reranking and Equivalence Scales," Bulletin of Economic Research, Wiley Blackwell, vol. 57(1), pages 13-36, January.
    11. Joachim R. Frick & Jan Goebel & Edna Schechtman & Gert G. Wagner & Shlomo Yitzhaki, 2006. "Using Analysis of Gini (ANOGI) for Detecting Whether Two Subsamples Represent the Same Universe," Sociological Methods & Research, , vol. 34(4), pages 427-468, May.
    12. John C. H. Fei & Gustav Ranis & Shirley W. Y. Kuo, 1978. "Growth and the Family Distribution of Income by Factor Components," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(1), pages 17-53.
    13. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316.
    14. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-115, February.
    15. Jiří Malý, 2016. "Impact of Polycentric Urban Systems on Intra-regional Disparities: A Micro-regional Approach," European Planning Studies, Taylor & Francis Journals, vol. 24(1), pages 116-138, January.
    16. Nripesh Podder, 1993. "The Disaggregation Of The Gin1 Coefficient By Factor Components And Its Applications To Australia," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(1), pages 51-61, March.
    17. Berrebi, Z M & Silber, Jacques, 1985. "The Gini Coefficient and Negative Income: A Comment," Oxford Economic Papers, Oxford University Press, vol. 37(3), pages 525-526, September.
    18. Shlomo Yitzhaki, 2015. "Gini’s mean difference offers a response to Leamer’s critique," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 31-43, April.
    19. Graham Pyatt & Chau-nan Chen & John Fei, 1980. "The Distribution of Income by Factor Components," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 451-473.
    20. Richard V. Burkhauser & Jeff Larrimore & Kosali Simon, 2013. "Measuring The Impact Of Valuing Health Insurance On Levels And Trends In Inequality And How The Affordable Care Act Of 2010 Could Affect Them," Contemporary Economic Policy, Western Economic Association International, vol. 31(4), pages 779-794, October.
    21. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    22. Richard V. Burkhauser & Kosali I. Simon, 2010. "Measuring the Impact of Health Insurance on Levels and Trends in Inequality," NBER Working Papers 15811, National Bureau of Economic Research, Inc.
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    3. del Castillo, Miguel, 2023. "Income distribution and wealth: new conceptual and methodological approaches. Summary," Documentos de Proyectos 48759, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    4. Joongyang Park & Youngsoon Kim & Ae-Jin Ju, 2021. "Measuring income inequality based on unequally distributed income," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(2), pages 309-322, April.
    5. Ignazio Drudi & Giorgio Tassinari & Fabrizio Alboni, 2017. "Changes in wealth distribution in Italy (2002-2012) and who gained from the Great Recession," PSL Quarterly Review, Economia civile, vol. 70(281), pages 129-153.
    6. Lidia Ceriani & Paolo Verme, 2022. "Population Changes and the Measurement of Inequality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 162(2), pages 549-575, July.

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