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An Evaluation Of An Entropy Based Index Of Segregation

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Ricardo Mora ()
Javier Ruiz-Castillo ()

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Abstract

This paper reviews the properties suggested in the methodological literature on the measurement of gender segregation by occupation. It is found that an index of segregation based on the entropy concept satisfies twelve basic axioms previously proposed in the single-dimensional case. This index can be expressed as the sum of a between-group and a within-group term in the two-dimensional case. In pair-wise comparisons, it can be meaningfully decomposed into three terms, one of which is independent of both the gender composition of the population and the population’s distribution across occupations. Finally, it can be motivated as two different loglikelihood tests in nonparametric econometric models. Other existing measures of segregation either fail to satisfy one or more of the basic axioms, do not admit a between/within decomposition, have not been motivated from a statistical approach, or are based on more restricted econometric models.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we034014.

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Date of creation: Oct 2003
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Handle: RePEc:cte:werepe:we034014

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Silber, Jacques, 1992. "Occupational Segregation Indices in the Multidimensional Case: A Note," The Economic Record, The Economic Society of Australia, vol. 68(202), pages 276-77, September.
  2. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July. [Downloadable!] (restricted)
  3. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April. [Downloadable!] (restricted)
  4. Neus Herranza & Ricardo Mora & Javier Ruiz-Castillo, 2003. "An Algorithm To Reduce The Occupational Space In Gender Segregation Studies," Economics Working Papers we031402, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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  5. Ricardo Mora & Javier Ruiz-Castillo, 2003. "Gender Segregation: From Birth To Occupation," Economics Working Papers we033612, Universidad Carlos III, Departamento de Economía. [Downloadable!]
  6. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 485-97, July. [Downloadable!] (restricted)
  7. Ricardo Mora & Javier Ruiz-Castillo, 2003. "Additively Decomposable Segregation Indexes. The Case Of Gender Segregation By Occupations And Human Capital Levels In Spain," Economics Working Papers we031503, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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  8. Borghans, Lex & Groot, Loek, 1999. "Educational presorting and occupational segregation," Labour Economics, Elsevier, vol. 6(3), pages 375-395, September. [Downloadable!] (restricted)
  9. 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 107-15, February. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. Butler, Richard J., 1987. "New indices of segregation," Economics Letters, Elsevier, vol. 24(4), pages 359-362. [Downloadable!] (restricted)
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  1. Ricardo Mora & Javier Ruiz-Castillo, 2005. "The Axiomatic Properties Of An Entropy Based Index Of Segregation," Economics Working Papers we056231, Universidad Carlos III, Departamento de Economía. [Downloadable!]
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