On the measurement of segregation

Citation

Echenique, Federico & Fryer, Roland G., Jr. (2005). On the measurement of segregation. National Bureau of Economic Research Working Paper Series. vol. No. 11258

Abstract

This paper develops a measure of segregation based on two premises: (1) a measure of segregation should disaggregate to the level of individuals, and (2) an individual is more segregated the more segregated are the agents with whom she interacts. Developing three desirable axioms that any segregation measure should satisfy, we prove that one and only one segregation index satisfies our three axioms, and the two aims mentioned above; which we coin the Spectral Segregation Index. We apply the index to two well-studied social phenomena: residential and school segregation. We calculate the extent of residential segregation across major US cities using data from the 2000 US Census. The correlation between the Spectral index and the commonly-used dissimilarity index is .42. Using detailed data on friendship networks, available in the National Longitudinal Study of Adolescent Health, we calculate the prevalence of within-school racial segregation. The results suggests that the percent of minority students within a school, commonly used as a substitute for a measure of in-school segregation, is a poor proxy for social interactions.

URL

http://www.nber.org/papers/w11258

Notes

Author contact info: Federico Echenique Humanities and Social Sciences, MC 228-77 California Institute of Technology 1200 East California Boulevard Pasadena, CA 91125 Tel: 626/395-4273 Fax: 626/405-9841 E-Mail: fede@hss.caltech.edu Roland G. Fryer Jr Department of Economics Harvard University Littauer Center 208 Cambridge, MA 02138 Tel: 617/495-9592 Fax: 617/495-8570 E-Mail: rolandfryer@edlabs.harvard.edu

Reference Type

Journal Article

Journal Title

National Bureau of Economic Research Working Paper Series

Author(s)

Echenique, Federico
Fryer, Roland G., Jr.

Year Published

2005

Volume Number

No. 11258

DOI

10.3386/w11258

Reference ID

7418