IDEAS home Printed from https://ideas.repec.org/a/kap/jecinq/v10y2012i3p343-373.html
   My bibliography  Save this article

A dissimilarity index of multidimensional inequality of opportunity

Author

Listed:
  • Gaston Yalonetzky

Abstract

A recent literature on inequality of opportunity offers quantitative tools for comparisons and measurement based on stochastic dominance criteria and traditional inequality indices. In this paper I suggest an additional way of assessing inequality of opportunity with two indices of dissimilarity across distributions. The indices are based on a traditional homogeneity test of multinomial distributions and are similar to the square coefficient of variation (Reardon and Firebaugh, Sociol Method 32:33–67, 2002 ). Their properties are studied, as well as their usefulness and limitations in applications when both circumstances and advantages/outcomes are multidimensional. An empirical application measures changes in inequality of opportunity from an old to a young cohort in Peru. The importance of assessing the sensitivity of the results to group definitions and group proportions is highlighted. Copyright Springer Science+Business Media, LLC. 2012

Suggested Citation

  • Gaston Yalonetzky, 2012. "A dissimilarity index of multidimensional inequality of opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 343-373, September.
    • Handle: RePEc:kap:jecinq:v:10:y:2012:i:3:p:343-373
    DOI: 10.1007/s10888-010-9162-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10888-010-9162-z
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10888-010-9162-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Saavedra-Chanduví, Jaime & Molinas, José R. & De Barros, Ricardo Paes & Ferreira, Francisco H. G., 2009. "Measuring Inequality of Opportunities in Latin America and the Caribbean," IDB Publications (Books), Inter-American Development Bank, number 361, December.
    2. John E. Roemer, 2014. "Economic Development as Opportunity Equalization," The World Bank Economic Review, World Bank, vol. 28(2), pages 189-209.
    3. Gaston Yalonetzky, 2012. "A dissimilarity index of multidimensional inequality of opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 343-373, September.
    4. Francisco H. G. Ferreira & Jérémie Gignoux, 2011. "The Measurement Of Inequality Of Opportunity: Theory And An Application To Latin America," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(4), pages 622-657, December.
    5. Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons," Economic Journal, Royal Economic Society, vol. 116(514), pages 943-968, October.
    6. Hild, Matthias & Voorhoeve, Alex, 2004. "Equality Of Opportunity And Opportunity Dominance," Economics and Philosophy, Cambridge University Press, vol. 20(1), pages 117-145, April.
    7. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    8. Lefranc, Arnaud & Pistolesi, Nicolas & Trannoy, Alain, 2009. "Equality of opportunity and luck: Definitions and testable conditions, with an application to income in France," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1189-1207, December.
    9. Chris Elbers & Peter Lanjouw & Johan Mistiaen & Berk Özler, 2008. "Reinterpreting between-group inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(3), pages 231-245, September.
    10. Fleurbaey, Marc, 2012. "Fairness, Responsibility, and Welfare," OUP Catalogue, Oxford University Press, number 9780199653591.
    11. Anthony Shorrocks & Guanghua Wan, 2005. "Spatial decomposition of inequality," Journal of Economic Geography, Oxford University Press, vol. 5(1), pages 59-81, January.
    12. Arnaud Lefranc & Nicolas Pistolesi & Alain Trannoy, 2008. "Inequality Of Opportunities Vs. Inequality Of Outcomes: Are Western Societies All Alike?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 54(4), pages 513-546, December.
    13. Ricardo Paes de Barros & Francisco H.G. Ferreira & Jose R. Molinas Vega & Jaime Saavedra Chanduvi, 2009. "Measuring Inequality of Opportunities in Latin America and the Caribbean," World Bank Publications, The World Bank, number 2580, September.
    14. Thomas Bossuroy & Denis Cogneau & Victor Hiller, 2006. "Intergenerational mobility in five African countries," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00261495, HAL.
    15. Checchi, Daniele & Peragine, Vito, 2005. "Regional Disparities and Inequality of Opportunity: The Case of Italy," IZA Discussion Papers 1874, Institute of Labor Economics (IZA).
    16. Gaston Yalonetzky, 2009. "Comparing Economic Mobility with Heterogeneity Indices: An Application to Education in Peru," OPHI Working Papers 33, Queen Elizabeth House, University of Oxford.
    17. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    18. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    19. Amartya Sen, 1976. "Real National Income," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 19-39.
    20. repec:idb:brikps:60098 is not listed on IDEAS
    21. Dagum, Camilo, 1987. "Measuring the Economic Affluence between Populations of Income Receivers," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 5-12, January.
    22. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July.
    23. Thomas Bossuroy & Denis Cogneau, 2008. "Social Mobility and Colonial Legacy in Five African Countries," Working Papers DT/2008/10, DIAL (Développement, Institutions et Mondialisation).
    24. Vito Peragine, 2004. "Ranking Income Distributions According to Equality of Opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(1), pages 11-30, April.
    25. repec:dau:papers:123456789/4314 is not listed on IDEAS
    26. Ebert, Udo, 1984. "Measures of distance between income distributions," Journal of Economic Theory, Elsevier, vol. 32(2), pages 266-274, April.
    27. Foster, James E. & Shneyerov, Artyom A., 2000. "Path Independent Inequality Measures," Journal of Economic Theory, Elsevier, vol. 91(2), pages 199-222, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gaston Yalonetzky, 2012. "A dissimilarity index of multidimensional inequality of opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(3), pages 343-373, September.
    2. Martyna Kobus & Marek Kapera & Vitorocco Peragine, 2020. "Measuring multidimensional inequality of opportunity," WIDER Working Paper Series wp-2020-19, World Institute for Development Economic Research (UNU-WIDER).
    3. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2021. "Axiomatic characterization of the χ 2 dissimilarity measure," Working Papers hal-03463741, HAL.
    4. Asadullah, M. Niaz & Yalonetzky, Gaston, 2012. "Inequality of Educational Opportunity in India: Changes Over Time and Across States," World Development, Elsevier, vol. 40(6), pages 1151-1163.
    5. Carmen Herrero & Antonio Villar, 2013. "On the Comparison of Group Performance with Categorical Data," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-7, December.
    6. José María Rentería, 2023. "Inequality of Educational Opportunity and Time-Varying Circumstances: Longitudinal Evidence from Peru," Journal of Development Studies, Taylor & Francis Journals, vol. 59(2), pages 258-278, February.
    7. Iturra, Victor & Gallardo, Mauricio, 2022. "Schools, circumstances and inequality of opportunities in Chile," International Journal of Educational Development, Elsevier, vol. 95(C).
    8. Fabio Waltenberg & Marcia De Carvalho & Luis Fernando Gamboa, 2016. "Measuring Inequality Of Opportunity In Education By Combining Information On Coverage And Achievement In Pisa," Anais do XLII Encontro Nacional de Economia [Proceedings of the 42nd Brazilian Economics Meeting] 218, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    9. Carmen Herrero & Antonio Villar, 2018. "The Balanced Worth: A Procedure to Evaluate Performance in Terms of Ordered Attributes," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 140(3), pages 1279-1300, December.
    10. Jaya Krishnakumar & Ricardo Nogales, 2020. "Public Policies and Equality of Opportunity for Wellbeing in Multiple Dimensions: A Theoretical Discussion and Evidence from Bolivia," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(1), pages 297-325, May.
    11. Monserrat Serio, 2021. "Desempeño educativo de los estudiantes en Argentina: Una mirada a la desigualdad de oportunidades del sistema educativo a partir de su medición y descomposición," Working Papers 86, Red Nacional de Investigadores en Economía (RedNIE).
    12. Johanna Fajardo-Gonzalez, 2016. "Inequality of opportunity in adult health in Colombia," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 14(4), pages 395-416, December.
    13. Nicholas Rohde & Ross Guest, 2018. "Multidimensional Inequality Across Three Developed Countries," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 576-591, September.
    14. Mkupete Jaah Mkupete & Dieter Von Fintel & Ronelle Burger, 2022. "Decomposing inequality of opportunity in child health in Tanzania: The role of access to water and sanitation," Health Economics, John Wiley & Sons, Ltd., vol. 31(11), pages 2465-2480, November.
    15. Anis Saidi & Mekki Hamdaoui & Wajdi Moussa, 2021. "Assessing Policy Effectiveness in Reducing Inequality of Opportunity in Access to Public Services and Education Among Tunisian Children," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 12(3), pages 993-1018, September.
    16. Sebastián Burgos Dávila & Fernando Cando Ortega, 2016. "Multidimensional poverty: an index for Ecuador using Alkire and Foster methodology," Economía, Instituto de Investigaciones Económicas y Sociales (IIES). Facultad de Ciencias Económicas y Sociales. Universidad de Los Andes. Mérida, Venezuela, vol. 41(42), pages 11-52, july-dece.
    17. Anis Ochi & Yosra Saidi, 2022. "Do Tunisian Children Have an Equal Chance to Access to School 8 Years After Revolution?," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 13(3), pages 2007-2029, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gaston Yalonetzky, 2010. "A Dissimilarity Index of Multidimensional Inequality of Opportunity (Revised and Updated)," OPHI Working Papers 39, Queen Elizabeth House, University of Oxford.
    2. Francisco Ferreira & Jérémie Gignoux & Meltem Aran, 2011. "Measuring inequality of opportunity with imperfect data: the case of Turkey," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 651-680, December.
    3. Asadullah, M. Niaz & Yalonetzky, Gaston, 2012. "Inequality of Educational Opportunity in India: Changes Over Time and Across States," World Development, Elsevier, vol. 40(6), pages 1151-1163.
    4. Luis Fernando Gamboa & Fábio D. Waltenberg, 2011. "Inequality of opportunity in educational achievement in Latin America: Evidence from PISA 2006-2009," Working Papers 206, ECINEQ, Society for the Study of Economic Inequality.
    5. John E. Roemer & Alain Trannoy, 2016. "Equality of Opportunity: Theory and Measurement," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1288-1332, December.
    6. Ferreira, Francisco H. G. & Peragine, Vito, 2015. "Equality of Opportunity: Theory and Evidence," IZA Discussion Papers 8994, Institute of Labor Economics (IZA).
    7. Paolo Li Donni & Vito Peragine & Giuseppe Pignataro, 2014. "Ex‐Ante And Ex‐Post Measurement Of Equality Of Opportunity In Health: A Normative Decomposition," Health Economics, John Wiley & Sons, Ltd., vol. 23(2), pages 182-198, February.
    8. Yalonetzky, Gaston, 2012. "Measuring group disadvantage with inter-distributional inequality indices: A critical review and some amendments to existing indices," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-32.
    9. ANDREOLI Francesco & HAVNES Tarjei & LEFRANC Arnaud, 2014. "Equalization of opportunity: Definitions, implementable conditions and application to early-childhood policy evaluation," LISER Working Paper Series 2014-12, Luxembourg Institute of Socio-Economic Research (LISER).
    10. Francesco Andreoli & Arnaud Lefranc, 2013. "Equalization of opportunity: Definitions and implementable conditions," Working Papers 310, ECINEQ, Society for the Study of Economic Inequality.
    11. Vito Peragine & Federico Biagi, 2019. "Equality of opportunity: theory, measurement and policy implications," JRC Research Reports JRC118542, Joint Research Centre.
    12. Gustavo A. Marrero & Juan Gabriel Rodríguez, 2010. "Inequality of opportunity in Europe: Economic and policy facts," Working Papers 172, ECINEQ, Society for the Study of Economic Inequality.
    13. Monserrat Serio, 2021. "Desempeño educativo de los estudiantes en Argentina: Una mirada a la desigualdad de oportunidades del sistema educativo a partir de su medición y descomposición," Working Papers 86, Red Nacional de Investigadores en Economía (RedNIE).
    14. Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2011. "Measuring long-term inequality of opportunity," Journal of Public Economics, Elsevier, vol. 95(3-4), pages 193-204, April.
    15. Marc Fleurbaey & Vito Peragine, 2013. "Ex Ante Versus Ex Post Equality of Opportunity," Economica, London School of Economics and Political Science, vol. 80(317), pages 118-130, January.
    16. Vito Peragine & Flaviana Palmisano & Paolo Brunori, 2014. "Economic Growth and Equality of Opportunity," The World Bank Economic Review, World Bank, vol. 28(2), pages 247-281.
    17. Niehues, Judith & Peichl, Andreas, 2011. "Lower and Upper Bounds of Unfair Inequality: Theory and Evidence for Germany and the US," IZA Discussion Papers 5834, Institute of Labor Economics (IZA).
    18. Singh, Ashish, 2010. "Inequality of opportunity in India," MPRA Paper 32971, University Library of Munich, Germany.
    19. Martyna Kobus & Marek Kapera & Vito Peragine, 2020. "Measuring multidimensional inequality of opportunity," SERIES 02-2020, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Feb 2020.
    20. X. Ramos & D. Van De Gaer, 2012. "Empirical Approaches to Inequality of Opportunity: Principles, Measures, and Evidence," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 12/792, Ghent University, Faculty of Economics and Business Administration.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:jecinq:v:10:y:2012:i:3:p:343-373. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.