Measures of ordinal segregation

Purpose – To develop measures of segregation that are appropriate when either the groups or the organizational units are defined by ordered categories. These methods allow the measurement of segregation among groups defined by ordered educational attainment categories or among ordered occupational categories, for example. Approach – I define a set of desirable properties of such measures, develop a general approach to constructing such measures, derive three such measures, and show that these measures satisfy the required properties. Originality – Traditional methods of measuring segregation focus on the measurement of segregation among groups defined by nominal categorical variables (e.g., race and gender) among organizational units also defined by nominal categorical units (e.g., schools and neighborhoods). Such methods are not appropriate to the measurement of occupational segregation, for example. The methods developed here are widely applicable and appropriate for such cases.

[1]  P Hougaard.  Statistical decomposition analysis : a conceptual synthesis of a probalistic function , 1982 .

[2]  Christopher H. Wheeler,et al.  Neighborhood Income Inequality , 2006 .

[3]  Kenneth J. Berry,et al.  Assessment of Variation in Ordinal Data , 1992 .

[4]  Henri Theil,et al.  A note on the measurement of racial integration of schools by means of informational concepts , 1971 .

[5]  M. Watts.  Occupational gender segregation: Index measureiient and econometric modeling , 1998, Demography.

[6]  M. Watts.  How Should Occupational Sex Segregation be Measured? , 1992 .

[7]  P. Mielke,et al.  Indices of Ordinal Variation , 1992 .

[8]  Yannis M. Ioannides,et al.  Neighbors’ income distribution: economic segregation and mixing in US urban neighborhoods , 2004 .

[9]  Barbara S. Zoloth.  Alternative Measures of School Segregation , 1976 .

[10]  Yannis M. Ioannides,et al.  Neighborhood Wealth Distributions , 2002 .

[11]  Robert Hutchens,et al.  Numerical measures of segregation: desirable properties and their implications , 2001, Math. Soc. Sci..

[12]  Alma F. Taeuber,et al.  A Practitioner's Perspective on the Index of Dissimilarity , 1976 .

[13]  Robert M. Hutchens,et al.  Segregation curves, Lorenz curves, and inequality in the distribution of people across occupations☆ , 1991 .

[14]  Paul A. Jargowsky,et al.  Poverty and Place: Ghettos, Barrios, and the American City , 1998 .

[15]  M. Watts.  Multidimensional Indexes of Occupational Segregation , 1997 .

[16]  R. Farley.  Residential segregation in urbanized areas of the United States in 1970: An analysis of social class and racial differences , 1977, Demography.

[17]  Kumiko Shibuya,et al.  The spatial separation of the poor in Canadian cities , 2000, Demography.

[18]  David R. James,et al.  Measures of segregation , 2019, Balancing School Choice and Equity.

[19]  Sean F. Reardon,et al.  2. Measures of Multigroup Segregation , 2002 .

[20]  Christopher H. Wheeler,et al.  Research Division Federal Reserve Bank of St . Louis Working Paper Series Urban Decentralization and Income Inequality : Is Sprawl Associated with Rising Income Segregation Across Neighborhoods ? , 2006 .

[21]  Sean F. Reardon,et al.  3. Measures of Spatial Segregation , 2004 .

[22]  Alan Agresti,et al.  Measures of Nominal-Ordinal Association , 1981 .

[23]  Tara Watson.  Metropolitan Growth, Inequality, and Neighborhood Segregation by Income , 2006 .

[24]  Oscar Volij,et al.  Measuring school segregation , 2010, J. Econ. Theory.

[25]  T. O. Kvålseth.  Coefficients of Variation for Nominal and Ordinal Categorical Data , 1995 .

[26]  D. Massey,et al.  The Ecology of Inequality: Minorities and the Concentration of Poverty, 1970-1980 , 1990, American Journal of Sociology.

[27]  H. Theil.  Principles of econometrics , 1971 .

[28]  T. O. Kvålseth.  Comment on the Coefficient of Ordinal Variation 1 , 1995 .

[29]  Paul A. Jargowsky,et al.  Take the money and run: economic segregation in U.S. metropolitan areas. , 1996 .

[30]  T. Davidoff.  Income Sorting: Measurement and Decomposition , 2004 .

[31]  Yannis M. Ioannides.  NEIGHBORHOOD INCOME DISTRIBUTIONS , 2004 .

[32]  Gaston Yalonetzky,et al.  A dissimilarity index of multidimensional inequality of opportunity , 2010 .

[33]  Robert M. Hutchens,et al.  One Measure of Segregation , 2004 .

[34]  Javier Ruiz-Castillo,et al.  Additively Decomposable Segregation Indexes. The Case of Gender Segregation by Occupations and Human Capital Levels in Spain , 2003 .

[35]  Michael G. Lacy,et al.  Measures of Variation for Ordinal Data as Functions of the Cumulative Distribution , 1996 .

[36]  Edward Telles.  Structural Sources of Socioeconomic Segregation in Brazilian Metropolitan Areas , 1995, American Journal of Sociology.

[37]  J. Siltanen.  Social Change and the Measurement of Occupational Segregation by Sex: An Assessment of the Sex Ratio Index , 1990 .

[38]  Meike J. Wittmann,et al.  Mathematical Ecology , 2006 .

[39]  David B. Grusky,et al.  Models for Describing the Underlying Structure of Sex Segregation , 1995, American Journal of Sociology.

[40]  Gang Meng,et al.  Multi-group segregation indices for measuring ordinal classes , 2006, Comput. Environ. Urban Syst..

[41]  J. Silber.  Occupational Segregation Indices in the Multidimensional Case: A Note , 1992 .