IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v28y2000i4p454-475.html
   My bibliography  Save this article

Sampling Distributions of Segregation Indexes

Author

Listed:
  • MICHAEL R. RANSOM

    (Brigham Young University)

Abstract

This article examines the sampling distributions of popular indexes of segregation: the dissimilarity index and the Gini index. Although applications of segregation indexes are common in the social sciences, researchers have usually failed to recognize their stochastic nature. This study addresses that failure by deriving the exact sampling distribution of two popular indexes of segregation and developing a convenient asymptotic test for hypotheses about changes in segregation. Monte Carlo simulations show that the proposed test has appropriate significance levels. An example applies the methods developed in this article to test whether segregation of men and women across college majors decreased during the 1980s. The analysis finds that gender segregation has decreased, and that the decrease is statistically significant.

Suggested Citation

  • Michael R. Ransom, 2000. "Sampling Distributions of Segregation Indexes," Sociological Methods & Research, , vol. 28(4), pages 454-475, May.
    • Handle: RePEc:sae:somere:v:28:y:2000:i:4:p:454-475
    DOI: 10.1177/0049124100028004003
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0049124100028004003
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0049124100028004003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Boisso, Dale & Hayes, Kathy & Hirschberg, Joseph & Silber, Jacques, 1994. "Occupational segregation in the multidimensional case : Decomposition and tests of significance," Journal of Econometrics, Elsevier, vol. 61(1), pages 161-171, March.
    2. Barbara S. Zoloth, 1976. "Alternative Measures of School Segregation," Land Economics, University of Wisconsin Press, vol. 52(3), pages 278-298.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Angelo Mazza & Antonio Punzo, 2015. "On the Upward Bias of the Dissimilarity Index and Its Corrections," Sociological Methods & Research, , vol. 44(1), pages 80-107, February.
    2. Jeffrey Napierala & Nancy Denton, 2017. "Measuring Residential Segregation With the ACS: How the Margin of Error Affects the Dissimilarity Index," Demography, Springer;Population Association of America (PAA), vol. 54(1), pages 285-309, February.
    3. Schneider, Kerstin & Schuchart, Claudia & Weishaupt, Horst & Riedel, Andrea, 2012. "The effect of free primary school choice on ethnic groups — Evidence from a policy reform," European Journal of Political Economy, Elsevier, vol. 28(4), pages 430-444.
    4. Ransom, Michael R. & Phipps, Aaron, 2016. "The Changing Occupational Distribution by College Major," IZA Discussion Papers 10193, Institute of Labor Economics (IZA).
    5. Kuha, Jouni & Firth, David, 2011. "On the index of dissimilarity for lack of fit in loglinear and log-multiplicative models," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 375-388, January.
    6. Yannis Psycharis & Anastasia Panori, 2023. "Small-Scale Socio-Economic Conditions And Residential Segregation: Evidence From The Municipalities Across The Metropolitan Region Of Attica," Romanian Journal of Regional Science, Romanian Regional Science Association, vol. 17(1), pages 38-65, June.
    7. Angelo Mazza, 2017. "Dealing With The Bias Of The Dissimilarity Index Of Segregation1," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 71(2), pages 11-20, April-Jun.
    8. P. Jenkins, Stephen & Micklewright, John & Viola Schnepf, Sylke, 2006. "Social segregation in Secondary Schools: how does England compare with other countries?," ISER Working Paper Series 2006-02, Institute for Social and Economic Research.
    9. Renan Xavier Cortes & Sergio Rey & Elijah Knaap & Levi John Wolf, 2020. "An open-source framework for non-spatial and spatial segregation measures: the PySAL segregation module," Journal of Computational Social Science, Springer, vol. 3(1), pages 135-166, April.
    10. Rebecca Allen & Simon Burgess & Frank Windmeijer, 2009. "More Reliable Inference for Segregation Indices," The Centre for Market and Public Organisation 09/216, The Centre for Market and Public Organisation, University of Bristol, UK.
    11. Ran Wei & Elijah Knaap & Sergio Rey, 2023. "American Community Survey (ACS) Data Uncertainty and the Analysis of Segregation Dynamics," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 42(1), pages 1-23, February.
    12. George Leckie & Rebecca Pillinger & Kelvyn Jones & Harvey Goldstein, 2012. "Multilevel Modeling of Social Segregation," Journal of Educational and Behavioral Statistics, , vol. 37(1), pages 3-30, February.
    13. Stephan Humpert, 2014. "Occupational Sex Segregation and Working Time: Regional Evidence from Germany," Panoeconomicus, Savez ekonomista Vojvodine, Novi Sad, Serbia, vol. 61(3), pages 317-329, June.
    14. Burger, Kaspar, 2019. "The socio-spatial dimension of educational inequality: A comparative European analysis," MPRA Paper 95309, University Library of Munich, Germany, revised 2019.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. repec:cte:werepe:we056231 is not listed on IDEAS
    2. repec:cte:werepe:we034014 is not listed on IDEAS
    3. Alonso-Villar, Olga & del Río, Coral, 2010. "Local versus overall segregation measures," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 30-38, July.
    4. Hemanshu Kumar & Rohini Somanathan & Mahima Vasishth, 2022. "Language and learning in ethnically mixed communities," Review of Development Economics, Wiley Blackwell, vol. 26(2), pages 835-846, May.
    5. Coral Río & Olga Alonso-Villar, 2010. "Gender Segregation in the Spanish Labor Market: An Alternative Approach," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(2), pages 337-362, September.
    6. Mora, Ricardo & San Juan, Carlos, 2004. "Geographical specialisation in Spanish agriculture before and after integration in the European Union," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 309-320, May.
    7. repec:cte:werepe:we074645 is not listed on IDEAS
    8. Branko Milanovic & Paola Salardi, 2016. "The Evolution of Gender and Racial Occupational Segregation Across Formal and Non-Formal Labor Markets in Brazil, 1987 to 2006," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62, pages 68-89, August.
    9. James Sakoda, 1981. "A generalized index of dissimilarity," Demography, Springer;Population Association of America (PAA), vol. 18(2), pages 245-250, May.
    10. Coral Río & Olga Alonso-Villar, 2022. "On Measuring Segregation in a Multigroup Context: Standardized Versus Unstandardized Indices," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 163(2), pages 633-659, September.
    11. Coral Río & Olga Alonso-Villar, 2015. "The Evolution of Occupational Segregation in the United States, 1940–2010: Gains and Losses of Gender–Race/Ethnicity Groups," Demography, Springer;Population Association of America (PAA), vol. 52(3), pages 967-988, June.
    12. Judith K. Hellerstein & David Neumark, 2008. "Workplace Segregation in the United States: Race, Ethnicity, and Skill," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 459-477, August.
    13. David Wong & Shih-Lung Shaw, 2011. "Measuring segregation: an activity space approach," Journal of Geographical Systems, Springer, vol. 13(2), pages 127-145, June.
    14. David Frankel & Oscar Volij, 2005. "Scale-Invariant Measures of Segregation," Economic theory and game theory 018, Oscar Volij.
    15. Amy Spring, 2013. "Declining Segregation of Same-Sex Partners: Evidence from Census 2000 and 2010," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 32(5), pages 687-716, October.
    16. Rebecca Allen, 2007. "Allocating Pupils to Their Nearest Secondary School: The Consequences for Social and Ability Stratification," Urban Studies, Urban Studies Journal Limited, vol. 44(4), pages 751-770, April.
    17. Martin Watts, 1997. "Multidimensional Indexes of Occupational Segregation," Evaluation Review, , vol. 21(4), pages 461-482, August.
    18. Vincent P. Miller & John M. Quigley, 1990. "Segregation by Racial and Demographic Group: Evidence from the San Francisco Bay Area," Urban Studies, Urban Studies Journal Limited, vol. 27(1), pages 3-21, February.
    19. Riccardo Leoncini & Mariele Macaluso & Annalivia Polselli, 2023. "Gender Segregation: Analysis across Sectoral-Dominance in the UK Labour Market," Papers 2303.04539, arXiv.org, revised Dec 2023.
    20. Beatrice Schindler Rangvid, 2007. "Living and Learning Separately? Ethnic Segregation of School Children in Copenhagen," Urban Studies, Urban Studies Journal Limited, vol. 44(7), pages 1329-1354, June.
    21. Geoffrey Warner, 2001. "A lorenz curve based index of income stratification," The Review of Black Political Economy, Springer;National Economic Association, vol. 28(3), pages 41-57, December.
    22. George Leckie & Rebecca Pillinger & Kelvyn Jones & Harvey Goldstein, 2012. "Multilevel Modeling of Social Segregation," Journal of Educational and Behavioral Statistics, , vol. 37(1), pages 3-30, February.
    23. Olga Alonso-Villar & Coral Del Río, 2017. "Local Segregation and Well-Being," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(2), pages 269-287, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:somere:v:28:y:2000:i:4:p:454-475. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.