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Measuring Segregation Author info | Abstract | Publisher info | Download info | Related research | Statistics David Frankel (Department of Economics, Iowa State University.)
Oscar Volij (Department of Economics, Ben-Gurion University.)
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We propose a set of axioms for the measurement of multigroup school segregation. They are motivated by two criteria: do ethnic groups have similar distributions across schools? And are schools ethnically representative of their district? Our axioms are satisfied by a unique ordering. It is represented by the Mutual Information index. This index, originally proposed by Henri Theil, has a more intuitive decomposition than other indices. As an application, we find that segregation between districts within cities accounts for 33% of school segregation. Segregation across states, driven mainly by the distinct residential patterns of Hispanics, contributes another 32%.
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Paper provided by Oscar Volij in its series Economic theory and game theory with number
017.
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Date of creation: 18 Sep 2005Date of revision:
Handle: RePEc:nid:ovolij:017Contact details of provider: Postal: Oscar Volij, Department of Economics, Ben-Gurion University, Beer-Sheva 84105, Israel Web page: http://volij.co.il/
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For technical questions regarding this item, or to correct its listing, contact: (Oscar Volij).
Keywords: Segregation ; segregation indices. ; Other versions of this item:
Find related papers by JEL classification: C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Microeconomic Data D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.:
Ricardo Mora & Javier Ruiz-Castillo, 2004.
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Investigaciones Economicas ,
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[Downloadable!]
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Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2002.
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NBER Working Papers
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Ricardo Mora & Javier Ruiz-Castillo, 2003.
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Bourguignon, Francois, 1979.
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David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 1999.
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Journal of Political Economy ,
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Other versions: Charles T. Clotfelter, 1999.
"Public School Segregation in Metropolitan Areas ,"
Land Economics ,
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[Downloadable!] (restricted)
Ricardo Mora & Javier Ruiz-Castillo, 2003.
"Additively Decomposable Segregation Indexes. The Case Of Gender Segregation By Occupations And Human Capital Levels In Spain ,"
Economics Working Papers
we031503, Universidad Carlos III, Departamento de Economía.
[Downloadable!]
Other versions: Oscar Volij & David Frankel, 2004.
"Measuring Segregation ,"
Econometric Society 2004 North American Summer Meetings
210, Econometric Society.
[Downloadable!]
Other versions: Philipson Tomas, 1993.
"Social Welfare and Measurement of Segregation ,"
Journal of Economic Theory ,
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Clotfelter, Charles T., 1998.
"Public School Segregation in Metropolitan Areas ,"
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Caroline Hoxby, 2000.
"Peer Effects in the Classroom: Learning from Gender and Race Variation ,"
NBER Working Papers
7867, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Hutchens, Robert, 2001.
"Numerical measures of segregation: desirable properties and their implications ,"
Mathematical Social Sciences ,
Elsevier, vol. 42(1), pages 13-29, July.
[Downloadable!] (restricted)
Frankel, David M. & Volij, Oscar, 2008.
"An Axiomatization of the Multigroup Atkinson Segregation Indices ,"
Staff General Research Papers
12902, Iowa State University, Department of Economics.
[Downloadable!]
Neus Herranza & Ricardo Mora & Javier Ruiz-Castillo, 2003.
"An Algorithm To Reduce The Occupational Space In Gender Segregation Studies ,"
Economics Working Papers
we031402, Universidad Carlos III, Departamento de Economía.
[Downloadable!]
Other versions: David Card & Jesse Rothstein, 2006.
"Racial Segregation and the Black-White Test Score Gap ,"
NBER Working Papers
12078, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions:
David Card & Jesse Rothstein, 2005.
"Racial Segregation and the Black-White Test Score Gap ,"
Working Papers
879, Princeton University, Department of Economics, Industrial Relations Section..
[Downloadable!] David Card & Jesse Rothstein, 2005.
"Racial Segregation and the Black-White Test Score Gap ,"
Working Papers
93, Princeton University, Department of Economics, Center for Economic Policy Studies..
[Downloadable!] 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.
[Downloadable!] (restricted) Macpherson, David A & Hirsch, Barry T, 1995.
"Wages and Gender Composition: Why Do Women's Jobs Pay Less? ,"
Journal of Labor Economics ,
University of Chicago Press, vol. 13(3), pages 426-71, July.
[Downloadable!] (restricted)
Cutler, David M & Glaeser, Edward L, 1997.
"Are Ghettos Good or Bad? ,"
The Quarterly Journal of Economics ,
MIT Press, vol. 112(3), pages 827-72, August.
Other versions: 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.
[Downloadable!] (restricted)
Gregory B. Lewis, 1996.
"Gender integration of occupations in the federal civil service: Extent and effects on male-female earnings ,"
Industrial and Labor Relations Review ,
ILR Review, ILR School, Cornell University, vol. 49(3), pages 472-483, April.
Full
references Cited by : (explanations , Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile , click on "citations" and make appropriate adjustments.)
David Frankel & Oscar Volij, 2005.
"Scale-Invariant Measures of Segregation ,"
Economic theory and game theory
018, Oscar Volij.
[Downloadable!]
Frankel, David M. & Volij, Oscar, 2007.
"Measuring Segregation ,"
Staff General Research Papers
12818, Iowa State University, Department of Economics.
[Downloadable!]
Other versions: David M. Frankel, 2004.
"Was the Late 19th Century a Golden Age of Racial Integration? ,"
Econometric Society 2004 North American Summer Meetings
167, Econometric Society.
[Downloadable!]
Federico Echenique & Roland G. Fryer, Jr., 2005.
"On the Measurement of Segregation ,"
NBER Working Papers
11258, National Bureau of Economic Research, Inc.
[Downloadable!] (restricted)
Other versions: Frankel, David M. & Volij, Oscar, 2008.
"An Axiomatization of the Multigroup Atkinson Segregation Indices ,"
Staff General Research Papers
12902, Iowa State University, Department of Economics.
[Downloadable!]
Ricardo Mora & Javier Ruiz-Castillo, 2007.
"The statistical properties of the Mutual Information index of multigroup segregation ,"
Economics Working Papers
we077443, Universidad Carlos III, Departamento de Economía.
[Downloadable!]
Ricardo Mora & Javier Ruiz-Castillo, 2007.
"The invariance properties of the Mutual Information index of multigroup segregation ,"
Economics Working Papers
we077544, Universidad Carlos III, Departamento de Economía.
[Downloadable!]
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