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Measuring Segregation when Units are Small : A Parametric Approach

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  • Roland RATHELOT

    (Crest)

Abstract

This article considers the issue of measuring segregation in a population of units that contain few individuals (e.g., establishments, classrooms). When units are small, the usual segregation indices, which are based on sample proportions, are biased. We propose a parametric solution: the probability that an individual within a given unit belongs to the minority is assumed to be distributed as a mixture of Beta distributions. The model can be estimated and indices deduced. Simulations show that this new method performs well compared to existing ones, even in the case of misspecification. An application to residential segregation in France according to parents’ nationalities is then undertaken. This article has online supplementary materials.

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Bibliographic Info

Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2011-06.

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Date of creation: 2011
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Handle: RePEc:crs:wpaper:2011-06

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Cited by:
  1. Glitz, Albrecht, 2012. "Ethnic Segregation in Germany," IZA Discussion Papers 6841, Institute for the Study of Labor (IZA).
  2. Xavier d'Haultfoeuille & Roland Rathelot, 2011. "Measuring Segregation on Small Units : A Partial Identification Analysis," Working Papers 2011-18, Centre de Recherche en Economie et Statistique.

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