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 parents’ nationalities is then undertaken. This article has online supplementary materials.
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Bibliographic InfoArticle provided by Taylor & Francis Journals in its journal Journal of Business & Economic Statistics.
Volume (Year): 30 (2012)
Issue (Month): 4 (June)
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Other versions of this item:
- Roland RATHELOT, 2011. "Measuring Segregation when Units are Small : A Parametric Approach," Working Papers 2011-06, Centre de Recherche en Economie et Statistique.
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- Albrecht Glitz, 2012.
"Ethnic Segregation in Germany,"
CReAM Discussion Paper Series
1222, Centre for Research and Analysis of Migration (CReAM), Department of Economics, University College London.
- 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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