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Measuring segregation on small units: A partial identification analysis

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  • Xavier D'Haultfœuille
  • Roland Rathelot

Abstract

We consider the issue of measuring segregation in a population of small units, considering establishments in our application. Each establishment may have a different probability of hiring an individual from the minority group. We define segregation indices as inequality indices on these unobserved, random probabilities. Because these probabilities are measured with error by proportions, standard estimators are inconsistent. We model this problem as a nonparametric binomial mixture. Under this testable assumption and conditions satisfied by standard segregation indices, such indices are partially identified and sharp bounds can be easily obtained by an optimization over a low dimensional space. We also develop bootstrap confidence intervals and a test of the binomial mixture model. Finally, we apply our method to measure the segregation of foreigners in small French firms.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:quante:v:8:y:2017:i:1:p:39-73
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    References listed on IDEAS

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    1. Christian Dustmann & Albrecht Glitz & Uta Schönberg & Herbert Brücker, 2016. "Referral-based Job Search Networks," Review of Economic Studies, Oxford University Press, vol. 83(2), pages 514-546.
    2. Laura Giuliano & David I. Levine & Jonathan Leonard, 2009. "Manager Race and the Race of New Hires," Journal of Labor Economics, University of Chicago Press, vol. 27(4), pages 589-631, October.
    3. Susana Iranzo & Fabiano Schivardi & Elisa Tosetti, 2008. "Skill Dispersion and Firm Productivity: An Analysis with Employer-Employee Matched Data," Journal of Labor Economics, University of Chicago Press, vol. 26(2), pages 247-285, April.
    4. Martin Sˆderstrˆm & Roope Uusitalo, 2010. "School Choice and Segregation: Evidence from an Admission Reform," Scandinavian Journal of Economics, Wiley Blackwell, vol. 112(1), pages 55-76, March.
    5. Rebecca Allen & Simon Burgess & Frank Windmeijer, 2009. "More Reliable Inference for Segregation Indices," The Centre for Market and Public Organisation 09/216, Department of Economics, University of Bristol, UK.
    6. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July.
    7. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504.
    8. Donald W. K. Andrews & Sukjin Han, 2009. "Invalidity of the bootstrap and the m out of n bootstrap for confidence interval endpoints defined by moment inequalities," Econometrics Journal, Royal Economic Society, vol. 12(s1), pages 172-199, January.
    9. Frederic Lord, 1969. "Estimating true-score distributions in psychological testing (an empirical bayes estimation problem)," Psychometrika, Springer;The Psychometric Society, vol. 34(3), pages 259-299, September.
    10. Luigi Pistaferri, 1999. "Informal Networks in the Italian Labor Market," Giornale degli Economisti, GDE (Giornale degli Economisti e Annali di Economia), Bocconi University, vol. 58(3-4), pages 355-375, December.
    11. Michael Carter, 2001. "Foundations of Mathematical Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262531925, January.
    12. 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.
    13. Michael Carter, 2001. "Foundations of Mathematical Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262032899, January.
    14. Victor Chernozhukov & Iván Fernández‐Val & Jinyong Hahn & Whitney Newey, 2013. "Average and Quantile Effects in Nonseparable Panel Models," Econometrica, Econometric Society, vol. 81(2), pages 535-580, March.
    15. Bryan S. Graham & Guido W. Imbens & Geert Ridder, 2010. "Measuring the Effects of Segregation in the Presence of Social Spillovers: A Nonparametric Approach," NBER Working Papers 16499, National Bureau of Economic Research, Inc.
    16. Kasy, Maximilian, 2015. "Identification in a model of sorting with social externalities and the causes of urban segregation," Journal of Urban Economics, Elsevier, vol. 85(C), pages 16-33.
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    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • J71 - Labor and Demographic Economics - - Labor Discrimination - - - Hiring and Firing

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