IDEAS home Printed from https://ideas.repec.org/a/eee/jhecon/v29y2010i1p151-157.html
   My bibliography  Save this article

Calculating the concentration index when income is grouped

Author

Listed:
  • Clarke, Philip
  • Van Ourti, Tom

Abstract

The problem introduced by grouping income data when measuring socioeconomic inequalities in health (and health care) has been highlighted in a recent study in this journal. We re-examine this issue and show there is a tendency to underestimate the concentration index at an increasing rate when lowering the number of income categories. This tendency arises due to a form of measurement error and we propose two correction methods. Firstly, the use of instrumental variables (IV) can reduce the error within income categories. Secondly, through a simple formula for correction that is based only on the number of groups. We find that the simple correction formula reduces the impact of grouping and always outperforms the IV approach. Use of this correction can substantially improve comparisons of the concentration index both across countries and across time.

Suggested Citation

  • Clarke, Philip & Van Ourti, Tom, 2010. "Calculating the concentration index when income is grouped," Journal of Health Economics, Elsevier, vol. 29(1), pages 151-157, January.
  • Handle: RePEc:eee:jhecon:v:29:y:2010:i:1:p:151-157
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-6296(09)00139-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Tom Van Ourti & Philip Clarke, 2011. "A Simple Correction to Remove the Bias of the Gini Coefficient due to Grouping," The Review of Economics and Statistics, MIT Press, vol. 93(3), pages 982-994, August.
    3. Erreygers, Guido, 2009. "Correcting the Concentration Index: A reply to Wagstaff," Journal of Health Economics, Elsevier, vol. 28(2), pages 521-524, March.
    4. Humphries, Karin H. & van Doorslaer, Eddy, 2000. "Income-related health inequality in Canada," Social Science & Medicine, Elsevier, vol. 50(5), pages 663-671, March.
    5. Adam Wagstaff & Eddy van Doorslaer, 2004. "Overall versus socioeconomic health inequality: a measurement framework and two empirical illustrations," Health Economics, John Wiley & Sons, Ltd., vol. 13(3), pages 297-301, March.
    6. Wagstaff, Adam, 2002. "Inequality aversion, health inequalities and health achievement," Journal of Health Economics, Elsevier, vol. 21(4), pages 627-641, July.
    7. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    8. Wagstaff, Adam & van Doorslaer, Eddy, 2000. "Chapter 34 Equity in health care finance and delivery," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 34, pages 1803-1862, Elsevier.
    9. van Doorslaer, Eddy & Wagstaff, Adam & van der Burg, Hattem & Christiansen, Terkel & De Graeve, Diana & Duchesne, Inge & Gerdtham, Ulf-G & Gerfin, Michael & Geurts, Jose & Gross, Lorna, 2000. "Equity in the delivery of health care in Europe and the US," Journal of Health Economics, Elsevier, vol. 19(5), pages 553-583, September.
    10. Philip Clarke & Tom Van Ourti, 2009. "Correcting the Bias in the Concentration Index when Income is Grouped," CEPR Discussion Papers 599, Centre for Economic Policy Research, Research School of Economics, Australian National University.
    11. Doorslaer, Eddy van & Jones, Andrew M., 2003. "Inequalities in self-reported health: validation of a new approach to measurement," Journal of Health Economics, Elsevier, vol. 22(1), pages 61-87, January.
    12. Lerman, Robert I. & Yitzhaki, Shlomo, 1989. "Improving the accuracy of estimates of Gini coefficients," Journal of Econometrics, Elsevier, vol. 42(1), pages 43-47, September.
    13. Chen, Zhuo & Roy, Kakoli, 2009. "Calculating concentration index with repetitive values of indicators of economic welfare," Journal of Health Economics, Elsevier, vol. 28(1), pages 169-175, January.
    14. Wagstaff, Adam & Paci, Pierella & van Doorslaer, Eddy, 1991. "On the measurement of inequalities in health," Social Science & Medicine, Elsevier, vol. 33(5), pages 545-557, January.
    15. Tom Van Ourti, 2004. "Measuring horizontal inequity in Belgian health care using a Gaussian random effects two part count data model," Health Economics, John Wiley & Sons, Ltd., vol. 13(7), pages 705-724, July.
    16. Tom Van Ourti & Philip Clarke, 2008. "The Bias of the Gini Coefficient due to Grouping," Tinbergen Institute Discussion Papers 08-095/3, Tinbergen Institute.
    17. Meheus, Filip & Van Doorslaer, Eddy, 2008. "Achieving better measles immunization in developing countries: does higher coverage imply lower inequality?," Social Science & Medicine, Elsevier, vol. 66(8), pages 1709-1718, April.
    18. Rasche, R H, et al, 1980. "Functional Forms for Estimating the Lorenz Curve: Comment," Econometrica, Econometric Society, vol. 48(4), pages 1061-1062, May.
    19. Gerdtham, U. -G. & Johannesson, M. & Lundberg, L. & Isacson, D., 1999. "A note on validating Wagstaff and van Doorslaer's health measure in the analysis of inequalities in health," Journal of Health Economics, Elsevier, vol. 18(1), pages 117-124, January.
    20. Adam Wagstaff, 2005. "The bounds of the concentration index when the variable of interest is binary, with an application to immunization inequality," Health Economics, John Wiley & Sons, Ltd., vol. 14(4), pages 429-432, April.
    21. Erreygers, Guido, 2009. "Correcting the Concentration Index," Journal of Health Economics, Elsevier, vol. 28(2), pages 504-515, March.
    22. Kakwani, Nanak & Wagstaff, Adam & van Doorslaer, Eddy, 1997. "Socioeconomic inequalities in health: Measurement, computation, and statistical inference," Journal of Econometrics, Elsevier, vol. 77(1), pages 87-103, March.
    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. Martin, Adam & Morciano, Marcello & Suhrcke, Marc, 2021. "Determinants of bicycle commuting and the effect of bicycle infrastructure investment in London: Evidence from UK census microdata," Economics & Human Biology, Elsevier, vol. 41(C).
    2. Erreygers, Guido & Clarke, Philip & Van Ourti, Tom, 2012. "“Mirror, mirror, on the wall, who in this land is fairest of all?”—Distributional sensitivity in the measurement of socioeconomic inequality of health," Journal of Health Economics, Elsevier, vol. 31(1), pages 257-270.
    3. Martin Siegel & Andreas Mielck & Werner Maier, 2015. "Individual Income, Area Deprivation, and Health: Do Income‐Related Health Inequalities Vary by Small Area Deprivation?," Health Economics, John Wiley & Sons, Ltd., vol. 24(11), pages 1523-1530, November.
    4. Mohammad Hajizadeh & Luke Brian Connelly & James Robert Gerard Butler, 2014. "Health Policy and Equity of Health Care Financing in Australia: 1973–2010," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(2), pages 298-322, June.
    5. David (David Patrick) Madden, 2019. "The Base of Party Political Support in Ireland: An Update," Working Papers 201915, School of Economics, University College Dublin.
    6. David Madden, 2020. "The Base of Party Political Support in Ireland: An Update," The Economic and Social Review, Economic and Social Studies, vol. 51(1), pages 93-103.
    7. Guido Erreygers & Philip Clarke & Qiong Zheng, 2017. "On the measurement of socioeconomic inequality of health between countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(2), pages 175-193, June.
    8. Zhanna Tsaurkubule, 2017. "Evaluating the efficiency of state socio-economic policy of Latvia," Contemporary Economics, University of Economics and Human Sciences in Warsaw., vol. 11(3), September.
    9. Rajah, Nasir & Mattock, Richard & Martin, Adam, 2023. "How do childhood ADHD symptoms affect labour market outcomes?," Economics & Human Biology, Elsevier, vol. 48(C).
    10. Mohammad Habibullah Pulok & Kees Gool & Mohammad Hajizadeh & Sara Allin & Jane Hall, 2020. "Measuring horizontal inequity in healthcare utilisation: a review of methodological developments and debates," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 21(2), pages 171-180, March.
    11. Mototsugu Fukushige & Noriko Ishikawa & Satoko Maekawa, 2012. "A modified Kakwani measure for health inequality," Health Economics Review, Springer, vol. 2(1), pages 1-7, December.

    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. Philip Clarke & Tom Van Ourti, 2009. "Correcting the Bias in the Concentration Index when Income is Grouped," CEPR Discussion Papers 599, Centre for Economic Policy Research, Research School of Economics, Australian National University.
    2. FLEURBAEY, Marc & SCHOKKAERT, Erik, 2011. "Equity in health and health care," LIDAM Discussion Papers CORE 2011026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    4. Erreygers, Guido & Clarke, Philip & Van Ourti, Tom, 2012. "“Mirror, mirror, on the wall, who in this land is fairest of all?”—Distributional sensitivity in the measurement of socioeconomic inequality of health," Journal of Health Economics, Elsevier, vol. 31(1), pages 257-270.
    5. H. Eme Ichoku & William Fonta & Michael Thiede, 2011. "Socioeconomic gradients in self-rated health: a developing country case study of Enugu State, Nigeria," Economic Change and Restructuring, Springer, vol. 44(3), pages 179-202, August.
    6. Xu, Ke Tom, 2006. "State-level variations in income-related inequality in health and health achievement in the US," Social Science & Medicine, Elsevier, vol. 63(2), pages 457-464, July.
    7. Cavagnero, Eleonora & Bilger, Marcel, 2010. "Equity during an economic crisis: Financing of the Argentine health system," Journal of Health Economics, Elsevier, vol. 29(4), pages 479-488, July.
    8. Martin Siegel & Karl Mosler, 2014. "Semiparametric Modeling Of Age‐Specific Variations In Income Related Health Inequalities," Health Economics, John Wiley & Sons, Ltd., vol. 23(7), pages 870-878, July.
    9. Costa-Font, Joan & Hernández-Quevedo, Cristina, 2012. "Measuring inequalities in health: What do we know? What do we need to know?," Health Policy, Elsevier, vol. 106(2), pages 195-206.
    10. Hai Zhong, 2010. "On decomposing the inequality and inequity change in health care utilization: change in means, or change in the distributions?," International Journal of Health Economics and Management, Springer, vol. 10(4), pages 369-386, December.
    11. Nesson, Erik T. & Robinson, Joshua J., 2019. "On the measurement of health and its effect on the measurement of health inequality," Economics & Human Biology, Elsevier, vol. 35(C), pages 207-221.
    12. Mohammad Habibullah Pulok & Kees Gool & Mohammad Hajizadeh & Sara Allin & Jane Hall, 2020. "Measuring horizontal inequity in healthcare utilisation: a review of methodological developments and debates," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 21(2), pages 171-180, March.
    13. Fleurbaey, Marc & Schokkaert, Erik, 2009. "Unfair inequalities in health and health care," Journal of Health Economics, Elsevier, vol. 28(1), pages 73-90, January.
    14. Bénédicte H. Apouey & Jacques Silber, 2016. "Performance and Inequality in Health: A Comparison of Child and Maternal Health across Asia," Research on Economic Inequality, in: Inequality after the 20th Century: Papers from the Sixth ECINEQ Meeting, volume 24, pages 181-214, Emerald Group Publishing Limited.
    15. Chen, Zhuo & Roy, Kakoli, 2009. "Calculating concentration index with repetitive values of indicators of economic welfare," Journal of Health Economics, Elsevier, vol. 28(1), pages 169-175, January.
    16. Ziebarth, Nicolas, 2010. "Measurement of health, health inequality, and reporting heterogeneity," Social Science & Medicine, Elsevier, vol. 71(1), pages 116-124, July.
    17. Erreygers, Guido & Van Ourti, Tom, 2011. "Measuring socioeconomic inequality in health, health care and health financing by means of rank-dependent indices: A recipe for good practice," Journal of Health Economics, Elsevier, vol. 30(4), pages 685-694, July.
    18. Mototsugu Fukushige & Noriko Ishikawa & Satoko Maekawa, 2012. "A modified Kakwani measure for health inequality," Health Economics Review, Springer, vol. 2(1), pages 1-7, December.
    19. Laia Maynou & Marc Saez & Jordi Bacaria & Guillem Lopez-Casasnovas, 2015. "Health inequalities in the European Union: an empirical analysis of the dynamics of regional differences," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 16(5), pages 543-559, June.
    20. Van Ourti, Tom & van Doorslaer, Eddy & Koolman, Xander, 2009. "The effect of income growth and inequality on health inequality: Theory and empirical evidence from the European Panel," Journal of Health Economics, Elsevier, vol. 28(3), pages 525-539, May.

    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:eee:jhecon:v:29:y:2010:i:1:p:151-157. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505560 .

    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.