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Measuring School Segregation

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  • Frankel, David M.
  • Volij, Oscar

Abstract

Using only ordinal axioms, we characterize several multi-group school segregation indices: the Atkinson Indices for the class of school districts with a given fixed number of ethnic groups and the Mutual Information Index for the class of all districts. Properties of other school segregation indices are also discussed. In an empirical application, we document a weakening of the effect of ethnicity on school assignment from 1987/8 to 2007/8. We also show that segregation between districts within cities currently accounts for 33% of total segregation. Segregation between states, driven mainly by the distinct residential patterns of Hispanics, contributes another 32%.

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File URL: http://www.econ.iastate.edu/sites/default/files/publications/papers/p15115-2010-08-04.pdf
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Bibliographic Info

Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 35115.

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Date of creation: 04 Aug 2011
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Publication status: Published in Journal of Economic Theory 2011, vol. 146 no. 1, pp. 1-38
Handle: RePEc:isu:genres:35115

Contact details of provider:
Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
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Web page: http://www.econ.iastate.edu
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Keywords: Segregation; indices; schools; education; axiomatic method: measurement;

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References

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  1. Card, David & Rothstein, Jesse, 2007. "Racial segregation and the black-white test score gap," Journal of Public Economics, Elsevier, vol. 91(11-12), pages 2158-2184, December.
  2. Ricardo Mora & Javier Ruiz-Castillo, 2004. "Gender segregation by occupations in the public and the private sector.The case of Spain," Investigaciones Economicas, Fundación SEPI, vol. 28(3), pages 399-428, September.
  3. Fryer, Roland & Echenique, Federico, 2007. "A Measure of Segregation Based on Social Interactions," Scholarly Articles 2958220, Harvard University Department of Economics.
  4. Charles T. Clotfelter, 1999. "Public School Segregation in Metropolitan Areas," Land Economics, University of Wisconsin Press, vol. 75(4), pages 487-504.
  5. Ricardo Mora & Javier Ruiz-Castillo, 2003. "Additively Decomposable Segregation Indexes. The Case of Gender Segregation by Occupations and Human Capital Levels in Spain," Journal of Economic Inequality, Springer, vol. 1(2), pages 147-179, August.
  6. Charles T. Clotfelter, 1998. "Public School Segregation in Metropolitan Areas," NBER Working Papers 6779, National Bureau of Economic Research, Inc.
  7. James Sakoda, 1981. "A generalized index of dissimilarity," Demography, Springer, vol. 18(2), pages 245-250, May.
  8. Philipson Tomas, 1993. "Social Welfare and Measurement of Segregation," Journal of Economic Theory, Elsevier, vol. 60(2), pages 322-334, August.
  9. Victor R. Fuchs, 1975. "A Note on Sex Segregation in Professional Occupations," NBER Chapters, in: Explorations in Economic Research, Volume 2, number 1, pages 105-111 National Bureau of Economic Research, Inc.
  10. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
  11. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
  12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  13. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
  14. Michael Boozer & Alan Krueger & Shari Wolkon, 1992. "Race and School Quality Since Brown vs. Board of Education," Working Papers 681, Princeton University, Department of Economics, Industrial Relations Section..
  15. Foster, James E., 1983. "An axiomatic characterization of the Theil measure of income inequality," Journal of Economic Theory, Elsevier, vol. 31(1), pages 105-121, October.
  16. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July.
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Citations

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Cited by:
  1. Carlos Gradín, 2011. "Occupational Segregation of Afro-Latinos," Working Papers 1105, Universidade de Vigo, Departamento de Economía Aplicada.
  2. Olga Alonso Villar & Coral del Río, 2010. "Segregation of female and male workers in Spain: occupations and industries," Hacienda Pública Española, IEF, vol. 194(3), pages 91-121, June.
  3. Tugce Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," Discussion Paper Series, Department of Economics 201308, Department of Economics, University of St. Andrews.
  4. José Alcalde Pérez & Begoña Subiza Martínez, 2012. "On integration policies and schooling," Working Papers. Serie AD 2012-06, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Gregorio Caetano & Vikram Maheshri, 2013. "School Segregation and the Identification of Tipping Behavior," Working Papers 2013-252-50, Department of Economics, University of Houston.
  6. Angelo, Mele, 2009. "Poisson Indices of Segregation," MPRA Paper 15155, University Library of Munich, Germany.
  7. Margareta Kreimer & Ricardo Mora, 2013. "Segregated integration : recent trends in the Austrian gender division of labor," Economics Working Papers we1317, Universidad Carlos III, Departamento de Economía.
  8. Casilda Lasso de la Vega & Oscar Volij, 2013. "Segregation, Informativeness And Lorenz Dominance," Working Papers 1312, Ben-Gurion University of the Negev, Department of Economics.
  9. Alcalde, José & Subiza, Begoña, 2012. "Affirmative Action and School Choice," QM&ET Working Papers 12-3, Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica.
  10. Coral del Río & Olga Alonso-Villar, 2011. "Occupational Segregation Measures: A Role for Status," Working Papers 1103, Universidade de Vigo, Departamento de Economía Aplicada.
  11. Francesco Andreoli & Claudio Zoli, 2012. "On the Measurement of Dissimilarity and Related Orders," Working Papers 274, ECINEQ, Society for the Study of Economic Inequality.
  12. Daniel Guinea Martin & Ricardo Mora & Javier Ruiz Castillo, 2012. "The joint effect of ethnicity and gender on occupational segregation : an approach based on the Mutual Information Index," Economics Working Papers we1140, Universidad Carlos III, Departamento de Economía.
  13. Carlos Gradín, 2010. "Conditional occupational segregation of minorities in the U.S," Working Papers 185, ECINEQ, Society for the Study of Economic Inequality.
  14. Van Puyenbroeck, Tom & De Bruyne, Karolien & Sels, Luc, 2012. "More than ‘Mutual Information’: Educational and sectoral gender segregation and their interaction on the Flemish labor market," Labour Economics, Elsevier, vol. 19(1), pages 1-8.
  15. Olga Alonso-Villar & Coral Río, 2013. "Occupational segregation in a country of recent mass immigration: evidence from Spain," The Annals of Regional Science, Springer, vol. 50(1), pages 109-134, February.
  16. Oscar Volij, 2014. "Segregation: Theoretical Approaches," Working Papers 1401, Ben-Gurion University of the Negev, Department of Economics.

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