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The axiomatic properties of an entropy based index of segregation

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  • Ruiz-Castillo, Javier
  • Mora, Ricardo

Abstract

This paper reviews the properties suggested in the methodological literature on the measurement of occupational gender segregation. It is found that an index of (relative) segregation based on the entropy concept, IE, satisfies thirteen basic axioms previously proposed in the single-dimensional case, and can be expressed as the sum of a between-group and a within-group term both for any partition of the set of occupations and in the two-dimensional case.

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  • Ruiz-Castillo, Javier & Mora, Ricardo, 2005. "The axiomatic properties of an entropy based index of segregation," UC3M Working papers. Economics we056231, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we056231
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    1. Robert Hutchens, 2004. "One Measure of Segregation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 555-578, May.
    2. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    3. 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.
    4. Silber, Jacques G., 1989. "On the measurement of employment segregation," Economics Letters, Elsevier, vol. 30(3), pages 237-243, September.
    5. Butler, Richard J., 1987. "New indices of segregation," Economics Letters, Elsevier, vol. 24(4), pages 359-362.
    6. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Oxford University Press, vol. 54(3), pages 485-497.
    7. Ricardo Mora & Javier Ruiz-Castillo, 2003. "Additively Decomposable Segregation Indexes. The Case of Gender Segregation by Occupations and Human Capital Levels in Spain," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 147-179, August.
    8. Victor R. Fuchs, 1975. "A Note on Sex Segregation in Professional Occupations," NBER Chapters,in: Explorations in Economic Research, Volume 2, number 1, pages 105-111 National Bureau of Economic Research, Inc.
    9. Karmel, T & Maclachlan, M, 1988. "Occupational Sex Segregation--Increasing or Decreasing?," The Economic Record, The Economic Society of Australia, vol. 64(186), pages 187-195, September.
    10. Borghans, Lex & Groot, Loek, 1999. "Educational presorting and occupational segregation," Labour Economics, Elsevier, vol. 6(3), pages 375-395, September.
    11. Barbara S. Zoloth, 1976. "Alternative Measures of School Segregation," Land Economics, University of Wisconsin Press, vol. 52(3), pages 278-298.
    12. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July.
    13. Ruiz-Castillo, Javier & Mora, Ricardo, 2000. "Gender segregation : from birth to occupation," UC3M Working papers. Economics 9921, Universidad Carlos III de Madrid. Departamento de Economía.
    14. Silber, Jacques, 1992. "Occupational Segregation Indices in the Multidimensional Case: A Note," The Economic Record, The Economic Society of Australia, vol. 68(202), pages 276-277, September.
    15. Ruiz-Castillo, Javier & Mora, Ricardo, 2003. "An evaluation of an entropy based index of segregation," UC3M Working papers. Economics we034014, Universidad Carlos III de Madrid. Departamento de Economía.
    16. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-115, February.
    17. Deutsch, Joseph & Fluckiger, Yves & Silber, Jacques, 1994. "Measuring occupational segregation : Summary statistics and the impact of classification errors and aggregation," Journal of Econometrics, Elsevier, vol. 61(1), pages 133-146, March.
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    Cited by:

    1. Oscar Volij & David Frankel, 2004. "Measuring Segregation," Econometric Society 2004 North American Summer Meetings 210, Econometric Society.
    2. Martin Watts, 2014. "Spatial indexes: a focus on segregation," Chapters,in: Handbook of Research Methods and Applications in Spatially Integrated Social Science, chapter 15, pages 287-314 Edward Elgar Publishing.
    3. Oscar Volij, 2014. "Segregation:Theoretical Approaches," Working Papers 1401, Ben-Gurion University of the Negev, Department of Economics.

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