Advanced Search
MyIDEAS: Login to save this article or follow this journal

On statistical inference for inequality measures calculated from complex survey data

Contents:

Author Info

  • Judith Clarke

    ()

  • Nilanjana Roy

    ()

Abstract

We examine inference for Generalized Entropy and Atkinson inequality measures with complex survey data, using Wald statistics with variance–covariance matrices estimated from a linearization approximation method. Testing the equality of two or more inequality measures, including sub-group decomposition indices and group shares, are covered. We illustrate with Indian data from three surveys, examining pre-school children’s height, an anthropometric measure that can indicate long-term malnutrition. Sampling involved an urban/rural stratification with clustering before selection of households. We compare the linearization complex survey outcomes with those from an incorrect independently and identically distributed (iid) assumption and a bootstrap that accounts for the survey design. For our samples, the results from the easy to implement linearization method and the more computationally burdensome bootstrap are typically quite similar. This finding is of interest to applied researchers, as bootstrapping is currently the method that is most commonly used for undertaking statistical inference in this literature. Copyright Springer-Verlag 2012

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://hdl.handle.net/10.1007/s00181-011-0499-3
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Bibliographic Info

Article provided by Springer in its journal Empirical Economics.

Volume (Year): 43 (2012)
Issue (Month): 2 (October)
Pages: 499-524

as in new window
Handle: RePEc:spr:empeco:v:43:y:2012:i:2:p:499-524

Contact details of provider:
Postal: Stumpergasse 56, A-1060 Vienna
Phone: ++43 - (0)1 - 599 91 - 0
Fax: ++43 - (0)1 - 599 91 - 555
Web page: http://link.springer.de/link/service/journals/00181/index.htm
More information through EDIRC

Order Information:
Web: http://link.springer.de/orders.htm

Related research

Keywords: Atkinson; Complex survey; Decomposition; Generalized entropy; Inequality; Linearization; C12; C42; D31;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Jean-Marie Dufour & Jan F. Kiviet, 1998. "Exact Inference Methods for First-Order Autoregressive Distributed Lag Models," Econometrica, Econometric Society, Econometric Society, vol. 66(1), pages 79-104, January.
  2. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-85, November.
  3. Russell Davidson & James MacKinnon, 2000. "Bootstrap tests: how many bootstraps?," Econometric Reviews, Taylor & Francis Journals, Taylor & Francis Journals, vol. 19(1), pages 55-68.
  4. Wen-Hao Chen & Jean-Yves Duclos, 2011. "Testing for poverty dominance: an application to Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 44(3), pages 781-803, August.
  5. Menno Pradhan & David E. Sahn & Stephen D. Younger, 2001. "Decomposing World Health Inequality," Tinbergen Institute Discussion Papers 01-091/2, Tinbergen Institute.
  6. Cowell, Frank A & Jenkins, Stephen P, 1995. "How Much Inequality Can We Explain? A Methodology and an Application to the United States," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 105(429), pages 421-30, March.
  7. James E. Foster & Artyom A. Shneyerov, 1999. "A general class of additively decomposable inequality measures," Economic Theory, Springer, Springer, vol. 14(1), pages 89-111.
  8. Cowell, Frank A., 1989. "Sampling variance and decomposable inequality measures," Journal of Econometrics, Elsevier, Elsevier, vol. 42(1), pages 27-41, September.
  9. David Gray & Jeffrey A. Mills & Sourushe Zandvakili, 2003. "Statistical analysis of inequality with decompositions: the Canadian experience," Empirical Economics, Springer, Springer, vol. 28(2), pages 291-302, 04.
  10. Russell Davidson & Emmanuel Flachaire, 2004. "Asymptotic and bootstrap inference for inequality and poverty measures," Cahiers de la Maison des Sciences Economiques, Université Panthéon-Sorbonne (Paris 1) v04100, Université Panthéon-Sorbonne (Paris 1).
  11. Russell Davidson, 2009. "Reliable inference for the GINI Index," Working Papers halshs-00443553, HAL.
  12. Garry Barrett & Thomas Crossley & Christopher Worswick, 1999. "Consumption and Income Inequality in Australia," CEPR Discussion Papers 404, Centre for Economic Policy Research, Research School of Economics, Australian National University.
  13. Mills, Jeffrey A & Zandvakili, Sourushe, 1997. "Statistical Inference via Bootstrapping for Measures of Inequality," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 12(2), pages 133-50, March-Apr.
  14. Martin Biewen, 2006. "Variance estimation for generalized entropy and Atkinson inequality indices: The complex survey data case," German Stata Users' Group Meetings 2006, Stata Users Group 04, Stata Users Group.
  15. Biewen, Martin, 2002. "Bootstrap inference for inequality, mobility and poverty measurement," Journal of Econometrics, Elsevier, Elsevier, vol. 108(2), pages 317-342, June.
  16. Van de gaer, Dirk & Funnell, Nicola & McCarthy, Tom, 1999. "Statistical inference for two measures of inequality when incomes are correlated," Economics Letters, Elsevier, vol. 64(3), pages 295-300, September.
  17. Moradi, Alexander & Baten, Joerg, 2005. "Inequality in Sub-Saharan Africa: New Data and New Insights from Anthropometric Estimates," World Development, Elsevier, vol. 33(8), pages 1233-1265, August.
  18. Alessandro Tarozzi & Aprajit Mahajan, 2007. "Child Nutrition in India in the Nineties," Economic Development and Cultural Change, University of Chicago Press, vol. 55, pages 441-486.
  19. David E. Sahn & Stephen D. Younger, 2006. "Changes in inequality and poverty in Latin America: Looking beyond income to health and education," Journal of Applied Economics, Universidad del CEMA, vol. 0, pages 215-234, November.
  20. Jeffrey Mills & Sourushe Zandvakili, 2004. "Analysis of gender-based family income inequality in Canada," Applied Economics Letters, Taylor & Francis Journals, vol. 11(8), pages 469-472.
  21. Griffiths, Paula & Matthews, Zoë & Hinde, Andrew, 2002. "Gender, family, and the nutritional status of children in three culturally contrasting states of India," Social Science & Medicine, Elsevier, vol. 55(5), pages 775-790, September.
  22. David Gray & Jeffrey Mills & Sourushe Zandvakili, 2003. "Immigration, Assimilation and Inequality of Income Distribution in Canada," University of Cincinnati, Economics Working Papers Series, University of Cincinnati, Department of Economics 2003-01, University of Cincinnati, Department of Economics.
  23. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 47(3), pages 521-31, April.
  24. Bhattacharya, Debopam, 2005. "Asymptotic inference from multi-stage samples," Journal of Econometrics, Elsevier, Elsevier, vol. 126(1), pages 145-171, May.
  25. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, Econometric Society, vol. 52(6), pages 1369-85, November.
  26. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, Econometric Society, vol. 47(4), pages 901-20, July.
  27. Christian Schluter & Mark Trede, 2002. "Statistical Inference for Inequality and Poverty Measurement with Dependent Data," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 493-508, May.
  28. Atkinson, A-B, 1996. "Bringing Income Distribution in from the Cold," Economics Papers 117, Economics Group, Nuffield College, University of Oxford.
  29. Casilda Lasso de la Vega & Ana Urrutia, 2008. "The ‘Extended’ Atkinson family: The class of multiplicatively decomposable inequality measures, and some new graphical procedures for analysts," Journal of Economic Inequality, Springer, vol. 6(2), pages 211-225, June.
  30. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  31. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, Econometric Society, vol. 48(3), pages 613-25, April.
  32. Bhattacharya, Debopam, 2007. "Inference on inequality from household survey data," Journal of Econometrics, Elsevier, Elsevier, vol. 137(2), pages 674-707, April.
Full references (including those not matched with items on IDEAS)

Citations

Blog mentions

As found by EconAcademics.org, the blog aggregator for Economics research:
  1. Complex Survey Data in Econometrics
    by Dave Giles in Econometrics Beat: Dave Giles' Blog on 2012-05-18 19:14:00
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Judith A. Clarke & Ahmed A. Hoque, 2014. "On Variance Estimation for a Gini Coefficient Estimator Obtained from Complex Survey Data," Econometrics Working Papers 1401, Department of Economics, University of Victoria.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:spr:empeco:v:43:y:2012:i:2:p:499-524. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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