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A defense of an entropy based index of multigroup segregation

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  • Mora, Ricardo
  • Ruiz-Castillo, Javier

Abstract

This paper defends the use of the entropy based Mutual Information index of multigroup segregation for the following five reasons. (1) It satisfies 14 basic axioms discussed in the literature when segregation takes place along a single dimension. (2) It is additively decomposable into between- and within-group terms for any partition of the set of occupations (or schools) and the set of demographic groups in the multigroup case. (3) The underlying segregation ordering has been recently characterized in terms of 8 properties. (4) It is a monotonic transformation of log-likelihood tests for the existence of segregation in a general model. (5) It can be decomposed so that a term independent of changes in either of the two marginal distributions can be isolated in pair wise segregation comparisons. Other existing measures of segregation have not been characterized, fail to satisfy one or more of the basic axioms, do not admit a between- within-group decomposition, have not been motivated from a statistical approach, or are based on more restricted econometric models.

Suggested Citation

  • Mora, Ricardo & Ruiz-Castillo, Javier, 2008. "A defense of an entropy based index of multigroup segregation," UC3M Working papers. Economics we074645, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:we074645
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    References listed on IDEAS

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    1. Card, David & Rothstein, Jesse, 2007. "Racial segregation and the black-white test score gap," Journal of Public Economics, Elsevier, vol. 91(11-12), pages 2158-2184, December.
    2. Alonso-Villar, Olga & del Río, Coral, 2010. "Local versus overall segregation measures," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 30-38, July.
    3. Robert M. Blackburn & Janet Siltanen & Jennifer Jarman, 1995. "The Measurement of Occupational Gender Segregation: Current Problems and a New Approach," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 158(2), pages 319-331, March.
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    5. Francine Blau & Patricia Simpson & Deborah Anderson, 1998. "Continuing Progress? Trends in Occupational Segregation in the United States over the 1970s and 1980s," Feminist Economics, Taylor & Francis Journals, vol. 4(3), pages 29-71.
    6. Chakravarty, Satya R. & Silber, Jacques, 2007. "A generalized index of employment segregation," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 185-195, March.
    7. Boisso, Dale & Hayes, Kathy & Hirschberg, Joseph & Silber, Jacques, 1994. "Occupational segregation in the multidimensional case : Decomposition and tests of significance," Journal of Econometrics, Elsevier, vol. 61(1), pages 161-171, March.
    8. Butler, Richard J., 1987. "New indices of segregation," Economics Letters, Elsevier, vol. 24(4), pages 359-362.
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    Cited by:

    1. Alonso-Villar, Olga & del Río, Coral, 2010. "Local versus overall segregation measures," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 30-38, July.
    2. Anna Dmowska & Tomasz F Stepinski, 2022. "Improving assessment of urban racial segregation by partitioning a region into racial enclaves," Environment and Planning B, , vol. 49(1), pages 290-303, January.
    3. Ricardo Mora & Javier Ruiz-Castillo, 2009. "The invariance properties of the mutual information index of multigroup segregation," Research on Economic Inequality, in: Occupational and Residential Segregation, pages 33-53, Emerald Group Publishing Limited.
    4. Van Puyenbroeck, Tom & De Bruyne, Karolien & Sels, Luc, 2012. "More than ‘Mutual Information’: Educational and sectoral gender segregation and their interaction on the Flemish labor market," Labour Economics, Elsevier, vol. 19(1), pages 1-8.

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    More about this item

    Keywords

    Gender segregation measurement;

    JEL classification:

    • J16 - Labor and Demographic Economics - - Demographic Economics - - - Economics of Gender; Non-labor Discrimination
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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