Binary data, hierarchy of attributes, and multidimensional deprivation


Empirical estimation of multidimensional deprivation measures has gained momentum in the last few years. Several existing measures assume that deprivation dimensions are cardinally measurable, when, in many instances, such data is not always available. In this paper, we propose a class of deprivation measures when the only information available is whether an individual is deprived in an attribute or not. The framework is then extended to a setting in which the multiple dimensions are grouped as basic attributes that are of fundamental importance for an individual’s quality of life and non-basic attributes which are at a much lower level of importance. Empirical illustrations of the proposed measures are provided based on the estimation of multidimensional deprivation among children in Ethiopia, India, Peru and Vietnam.

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  1. Alkire, S., Foster, J.: Counting and multidimensional poverty measurement. J. Public Econ. 95, 476–487 (2011)

    Article  Google Scholar 

  2. Alkire, S., Foster, J.E., Seth, S., Santos, M.E., Roche, J.M., Ballon, P.: Multidimensional Poverty Measurement and Analysis. Oxford University Press, Oxford (2015)

    Book  Google Scholar 

  3. Alkire, S., Santos, M.E.: Acute multidimensional poverty: a new index for developing countries. United Nations Development Programme Human Development Report Office background paper 2010/11 (2010)

  4. Atkinson, A.B.: Multidimensional deprivation: contrasting social welfare and counting approaches. J. Econ. Inequal. 1(1), 51–65 (2003)

    Article  Google Scholar 

  5. Bosmans, K., Ooghe, E., Lauwers, L.: Prioritarian poverty comparisons with cardinal and ordinal attributes. CES Discussion Paper 13.10 (2013)

  6. Bosmans, K., Decancq, K., Ooghe, E.: What do normative indices of multidimensional inequality really measure? J. Public Econ. 130, 94–104 (2015)

    Article  Google Scholar 

  7. Bourguignon, F., Chakravarty, S.R.: The measurement of multidimensional poverty. J. Econ. Inequal. 1, 25–49 (2003)

    Article  Google Scholar 

  8. Bourguignon, F., Chakravarty, S.R.: Multidimensional poverty orderings: theory and application. In: Basu, K., Kanbur, R. (eds.) Arguments for a Better World: Essays in Honor of Amartya Sen. Oxford University Press, Oxford (2009)

  9. Bossert, W., Chakravarty, S., D’Ambrosio, C.: Multidimensional poverty and material deprivation with discrete data. Rev. Income Wealth 59, 29–43 (2013)

    Article  Google Scholar 

  10. Callan, T., Layte, R., Nolan, B., Watson, D., Whelan, C.T., Williams, J., Maître, B.: Monitoring Poverty Trends. ESRI, Dublin (1999)

    Google Scholar 

  11. Chakravarty, S., Silber, J.: Measuring multidimensional poverty: the axiomatic approach. In: Kakwani, N., Silber, J. (eds.) Quantitative Approaches to Multidimensional Poverty. Palgrave Macmillan, New York (2007)

  12. Dhongde, S., Li, Y., Pattanaik, P.K., Xu, Y.: Binary data, hierarchy of attributes, and multidimensional deprivation. Available at SSRN. or doi:10.2139/ssrn.2637011 (2015)

  13. Duclos, J.-Y., Sahn, D., Younger, S.: Robust multidimensional poverty comparisons. Econ. J. 116(514), 943–968 (2006)

    Article  Google Scholar 

  14. Dutta, I., Pattanaik, P.K., Xu, Y.: On measuring deprivation and the standard of living in a multidimensional framework on the basis of aggregate data. Economica 70, 197–221 (2003)

    Article  Google Scholar 

  15. Erikson, R.: Descriptions of inequality: the Swedish approach to welfare research. In: Nussbaum, M.C., Sen, A. (eds.) The Quality of Life. Clarendon Press, Oxford (1993)

  16. Esposito, L., Chiappero-Martinetti, E.: Multidimensional poverty: restricted and unrestricted hierarchy among poverty dimensions. J. Appl. Econ. 13(2), 181–204 (2010)

    Article  Google Scholar 

  17. Fishburn, P.C.: Finite linear qualitative probability. J. Math. Psychol. 40, 64–77 (1996)

    Article  Google Scholar 

  18. Fusco, A., Dickes, P.: The Rasch model and multidimensional poverty measurement. In: Kakwani, N., Silber, J. (eds.) Quantitative Approaches to Multidimensional Poverty Measurement. Palgrave-Macmillan, London (2006)

  19. Hicks, N., Streeten, P.: Indicators of development: the search for a basic needs yardstick. World Dev. 7(6), 567–580 (1979)

    Article  Google Scholar 

  20. Kraft, C.H., Pratt, J.W., Seidenberg, A.: Intuitive probability on finite sets. Ann. Math. Stat. 30, 408–419 (1959)

    Article  Google Scholar 

  21. Lasso de la Vega, M.C.: Counting poverty orderings and deprivation curves. Research on Economic Inequality 18, 153–72 (2010)

    Article  Google Scholar 

  22. Maslow, A.H.: A theory of human motivation. Psychol. Rev. 50(4), 370 (1943)

    Article  Google Scholar 

  23. Maslow, A.H.: Motivation and Personality. Harper, New York (1954)

    Google Scholar 

  24. Parfit, D.: Equality and priority. Ratio X, 202–221 (1997). new series

    Article  Google Scholar 

  25. Pattanaik, P.K., Reddy, S.G., Xu, Y.: On measuring deprivation and living standards of societies in a multi-attribute framework. Oxf. Econ. Pap. 64, 43–56 (2012)

    Article  Google Scholar 

  26. Permanyer, I.: Assessing individuals’deprivation in a multidimensional framework. J. Dev. Econ. 109, 1–16 (2014)

    Article  Google Scholar 

  27. Save the Children UK: The Child Development Index: holding governments to account for children’s wellbeing. Retrieved from: (2008)

  28. Sen, A.: Commodities and Capabilities. North-Holland, Amsterdam (1985)

    Google Scholar 

  29. Townsend, P.: Poverty in the United Kingdom. Allen Lane, Harmondsworth (1979)

    Google Scholar 

  30. Tsui, K.-Y.: Multidimensional inequality and multidimensional generalized entropy measures: an axiomatic derivation. Soc. Choice Welf. 16(1), 145–157 (1999)

    Article  Google Scholar 

  31. Tsui, K.-Y.: Multidimensional poverty indices. Soc. Choice Welf. 19, 69–93 (2002)

    Article  Google Scholar 

  32. UNDP: Human Development Reports: the real wealth of nations: pathways to human development. Retrieved from: (2010)

  33. Whelan, C.T., Nolan, B., Maitre, B.: Multidimensional poverty measurement in Europe: an application of the adjusted headcount approach. Journal of European Social Policy 24(2), 183–197 (2014)

    Article  Google Scholar 

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Correspondence to Shatakshee Dhongde.

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Dhongde, S., Li, Y., Pattanaik, P.K. et al. Binary data, hierarchy of attributes, and multidimensional deprivation. J Econ Inequal 14, 363–378 (2016).

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  • Binary data
  • Children
  • Deprivation
  • Hierarchy
  • Multiple dimensions
  • Poverty