IDEAS home Printed from https://ideas.repec.org/p/cte/werepe/we077544.html
   My bibliography  Save this paper

The invariance properties of the Mutual Information index of multigroup segregation

Author

Listed:
  • Mora, Ricardo
  • Ruiz-Castillo, Javier

Abstract

In the context of educational segregation by ethnic group, it has been argued that rigorous pair wise segregation comparisons over time or across space should be invariant in two situations: when the ethnic composition of the population changes while the distribution of each ethnic group over the schools remains constant (invariance 1), or when the size distribution of schools changes while the ethnic composition of each school remains constant (invariance 2). This paper makes three contributions to this literature. First, it presents a testing strategy for choosing between the two properties. Second, it argues that both properties have strong implications, and that there are reasons to defend that the overall segregation index need not satisfy either one. In particular, the contrast between invariant segregation indices and the Mutual Information segregation index that violates both properties is illustrated with a number of examples. Third, nevertheless, it is shown that pair wise segregation comparisons using this index can be expressed in terms of (i) changes in the ethnic composition of the population, (ii) changes in the school size distribution, and (iii) changes in a third term that is invariant 1 or invariant 2. These decompositions can be used to reach the analogous ones obtained in Deutsch et al. (2006).

Suggested Citation

  • Mora, Ricardo & Ruiz-Castillo, Javier, 2007. "The invariance properties of the Mutual Information index of multigroup segregation," UC3M Working papers. Economics we077544, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we077544
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/bitstream/handle/10016/1086/we077544.pdf?sequence=1
    Download Restriction: no

    References listed on IDEAS

    as
    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. Oscar Volij & David Frankel, 2004. "Measuring Segregation," Econometric Society 2004 North American Summer Meetings 210, Econometric Society.
    3. 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.
    4. 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.
    5. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July.
    6. Francine D. Blau & Wallace E. Hendricks, 1979. "Occupational Segregation by Sex: Trends and Prospects," Journal of Human Resources, University of Wisconsin Press, vol. 14(2), pages 197-210.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fernanda Estevan & Thomas Gall; Patrick Legros; Andrew F. Newman, 2014. "College Admission and High School Integration," Working Papers, Department of Economics 2014_26, University of São Paulo (FEA-USP).
    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. Coral Río & Olga Alonso-Villar, 2010. "Gender Segregation in the Spanish Labor Market: An Alternative Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(2), pages 337-362, September.
    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.
    5. Luiz Dias Bahia & Danilo Coelho & Alexandre Messa Silva & Sergei Soares, 2009. "A Evolução da Segregação por Qualificação Profissional ao Nível das Firmas," Discussion Papers 1406, Instituto de Pesquisa Econômica Aplicada - IPEA.
    6. Carlos Gradín, 2013. "Conditional occupational segregation of minorities in the US," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 11(4), pages 473-493, December.
    7. Rebecca Allen & Simon Burgess & Frank Windmeijer, 2009. "More Reliable Inference for Segregation Indices," The Centre for Market and Public Organisation 09/216, Department of Economics, University of Bristol, UK.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cte:werepe:we077544. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ana Poveda). General contact details of provider: http://www.eco.uc3m.es/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.