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A measure of multidimensional polarization for categorical diversity data

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  • Bruno Trezzini

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Abstract

Numerous indices measuring the degree of heterogeneity or homogeneity of small and large social entities exist. However, only recently has interest in multidimensional inequality and diversity grown. The novelty lies in looking at multiple dimensions of diversity simultaneously by asking how it is patterned across different attributes. The group faultline concept, which has gained some popularity in organizational research, is an instantiation of patterned multidimensional diversity in the context of small groups. Faultlines are thought to increase the potential for intragroup conflict. The paper provides a conceptual and operational elaboration of the group faultline concept and develops an index of patterned multidimensional diversity for categorical data based on the notion of multidimensional bipolarization. The application of this index to some illustrative group constellations leads to the conclusion that it is a valid, albeit not perfect, operationalization of faultline strength. Copyright Springer Science+Business Media B.V. 2013

Suggested Citation

  • Bruno Trezzini, 2013. "A measure of multidimensional polarization for categorical diversity data," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(1), pages 313-333, January.
  • Handle: RePEc:spr:qualqt:v:47:y:2013:i:1:p:313-333
    DOI: 10.1007/s11135-011-9500-7
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    File URL: http://hdl.handle.net/10.1007/s11135-011-9500-7
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    References listed on IDEAS

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    1. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    2. Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-358, May.
    3. Martin L. Weitzman, 1998. "The Noah's Ark Problem," Econometrica, Econometric Society, vol. 66(6), pages 1279-1298, November.
    4. Martin L. Weitzman, 1992. "On Diversity," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 363-405.
    5. Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2004. "Polarization: Concepts, Measurement, Estimation," Econometrica, Econometric Society, vol. 72(6), pages 1737-1772, November.
    6. Bruno Trezzini, 2008. "Probing the Group Faultline Concept: An Evaluation of Measures of Patterned Multi-dimensional Group Diversity," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(3), pages 339-368, June.
    7. Wolfson, Michael C, 1997. "Divergent Inequalities: Theory and Empirical Results," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(4), pages 401-421, December.
    8. repec:cup:apsrev:v:82:y:1988:i:02:p:491-509_08 is not listed on IDEAS
    9. Montalvo, Jose G. & Reynal-Querol, Marta, 2005. "Ethnic diversity and economic development," Journal of Development Economics, Elsevier, vol. 76(2), pages 293-323, April.
    10. Weitzman, M.L., 1992. "Diversity Functions," Harvard Institute of Economic Research Working Papers 1610, Harvard - Institute of Economic Research.
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    1. repec:spr:qualqt:v:51:y:2017:i:5:d:10.1007_s11135-016-0393-3 is not listed on IDEAS

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