Measuring Segregation when Units are Small : A Parametric Approach
AbstractThis 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 parentsâ nationalities is then undertaken. This article has online supplementary materials.
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Bibliographic InfoPaper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2011-06.
Date of creation: 2011
Date of revision:
Other versions of this item:
- Roland Rathelot, 2012. "Measuring Segregation When Units are Small: A Parametric Approach," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(4), pages 546-553, June.
- NEP-ALL-2011-03-19 (All new papers)
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- 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.
- Glitz, Albrecht, 2012.
"Ethnic Segregation in Germany,"
IZA Discussion Papers
6841, Institute for the Study of Labor (IZA).
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