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Polarization measurement and inference in many dimensions when subgroups can not be identified

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  • Anderson, Gordon
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    Abstract

    The most popular general univariate polarization indexes for discrete and continuous variables are extended and combined to describe the extent of polarization between agents in a distribution defined over a collection of many discrete and continuous agent characteristics. A formula for the asymptotic variance of the index is also provided. The implementation of the index is illustrated with an application to Chinese urban household data drawn from six provinces in the years 1987 and 2001 (years spanning the growth and urbanization period subsequent to the economic reforms). The data relates to household adult equivalent log income, adult equivalent living space, which are both continuous variables and the education of the head of household which is a discrete variable. For this data set combining the characteristics changes the view of polarization that would be inferred from considering the indices individually. --

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    File URL: http://dx.doi.org/10.5018/economics-ejournal.ja.2011-11
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    Bibliographic Info

    Article provided by Kiel Institute for the World Economy in its journal Economics: The Open-Access, Open-Assessment E-Journal.

    Volume (Year): 5 (2011)
    Issue (Month): 11 ()
    Pages: 1-19

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    Handle: RePEc:zbw:ifweej:201111

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    1. 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.
    2. Duclos, Jean-Yves & Esteban, Joan & Ray, Debraj, 2003. "Polarization: Concepts, Measurement, Estimation," Cahiers de recherche 0301, CIRPEE.
    3. Alesina, Alberto & Spolaore, Enrico, 1997. "On the Number and Size of Nations," The Quarterly Journal of Economics, MIT Press, vol. 112(4), pages 1027-56, November.
    4. Anderson, Gordon & Crawford, Ian & Leicester, Andrew, 2011. "Welfare rankings from multivariate data, a nonparametric approach," Journal of Public Economics, Elsevier, vol. 95(3-4), pages 247-252, April.
    5. Gordon Anderson & Maria Grazia Pittau & Roberto Zelli, 2011. "Partially Identified Poverty Status: A New Approach to Measuring Poverty and the Progress of the Poor," Working Papers tecipa-421, University of Toronto, Department of Economics.
    6. Chiara Gigliarano & Karl Mosler, 2009. "Constructing indices of multivariate polarization," Journal of Economic Inequality, Springer, vol. 7(4), pages 435-460, December.
    7. Koshevoy, G. A. & Mosler, K., 1997. "Multivariate Gini Indices," Journal of Multivariate Analysis, Elsevier, vol. 60(2), pages 252-276, February.
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