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Measuring Segregation When Units are Small: A Parametric Approach

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  • Roland Rathelot

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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  • 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.
    • Handle: RePEc:taf:jnlbes:v:30:y:2012:i:4:p:546-553
    DOI: 10.1080/07350015.2012.707586
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    Cited by:

    1. Glitz, Albrecht, 2014. "Ethnic segregation in Germany," Labour Economics, Elsevier, vol. 29(C), pages 28-40.
    2. Xavier D'Haultfœuille & Roland Rathelot, 2017. "Measuring segregation on small units: A partial identification analysis," Quantitative Economics, Econometric Society, vol. 8(1), pages 39-73, March.
    3. Matthew Gentzkow & Jesse Shapiro & Matt Taddy, 2016. "Measuring Polarization in High-Dimensional Data: Method and Application to Congressional Speech," Working Papers id:11114, eSocialSciences.
    4. Rathelot, Roland, 2014. "Ethnic differentials on the labor market in the presence of asymmetric spatial sorting: Set identification and estimation," Regional Science and Urban Economics, Elsevier, vol. 48(C), pages 154-167.

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