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Measuring inequality in a cross-tabulation with ordered categories: from the Gini coefficient to the Tog coefficient

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Lampard, Richard. (2000) Measuring inequality in a cross-tabulation with ordered categories: from the Gini coefficient to the Tog coefficient. International Journal of Social Research Methodology, Vol.3 (No.1). pp. 1-14. ISSN 1364-5579

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Official URL: http://dx.doi.org/10.1080/136455700294897

Abstract

This paper introduces the Tog coefficient, which can be used to measure the level of inequality in a cross-tabulation of two ordinal-level variables. The Gini coefficient is a standard measure of income inequality which has been adapted by other authors for use in different contexts such as the measurement of health inequalities and the quantification of occupational segregation; the Tog coefficient represents a further stage in this process of development. The paper outlines the construction of the Tog coefficient and illustrates this using a social mobility table based on data from the 1972 Oxford Mobility Study. The trend in social mobility-related inequality as measured by the Tog coefficient is compared with the findings of Goldthorpe et al. based on odds ratios. A more elaborate application of the Tog coefficient uses a variety of data relating to the similarity of spouses' class backgrounds to demonstrate the existence of a long-term decline in the level of inequality in British society.

Item Type: Journal Article
Subjects: H Social Sciences > HA Statistics
Divisions: Faculty of Social Sciences > Sociology
Library of Congress Subject Headings (LCSH): Gini coefficient, Income distribution -- Mathematical models, Social mobility -- Mathematical models, Inequality -- Statistical methods, Mathematical statistics -- Great Britain
Journal or Publication Title: International Journal of Social Research Methodology
Publisher: Routledge
ISSN: 1364-5579
Date: January 2000
Volume: Vol.3
Number: No.1
Page Range: pp. 1-14
Identification Number: 10.1080/136455700294897
Status: Peer Reviewed
Access rights to Published version: Open Access
References: Atkinson, A.B. (1983) The Economics of Inequality [Second edition] (Oxford: Oxford University Press). Blackburn, R.M., Jarman, J. and Siltanen, J. (1993) The analysis of occupational segregation over time and place: considerations of measurement and some new evidence. Work, Employment and Society, 7.3, 335-362. Boisso, D., Hayes, K., Hirschberg, J. and Silber, J. (1994) Occupational segregation in the multidimensional case: decomposition and tests of significance. Journal of Econometrics, 61.1, 161-171. Efron, B. (1979) Bootstrap methods: another look at the jackknife. Annals of Statistics, 7, 1-26. Glass, D.V. (ed.) (1954) Social Mobility in Britain (London: Routledge and Kegan Paul). Goldthorpe, J.H., Llewellyn, C. and Payne, C. (1987) Social Mobility and Class Structure in Modern Britain [2nd Edition] (Oxford: Clarendon Press). Goodman, L.A. (1986) Some useful extensions of the usual correspondence analysis approach and the usual log-linear models approach to the analysis of contingency tables (with discussion). International Statistical Review, 54, 243-309. Hellevik, O. (1997) Class inequality and egalitarian reform. Acta Sociologica, 40.4, 377-397. Hutchens, R.M. (1991) Segregation curves, Lorenz curves, and inequality in the distribution of people across occupations. Mathematical Social Sciences, 21.1, 31-51. Koshevoy, G. and Mosler, K. (1996) The Lorenz zonoid of a multivariate distribution. Journal of the American Statistical Association, 91.434, 873-882. Lampard, R. (1994) Comment on Blackburn, Jarman and Siltanen: Marginal Matching and the Gini coefficient. Work, Employment and Society, 8.3, 407-411. Le Grand, J. and Rabin, M. (1986) Trends in British health inequality, 1931-1983. In A. Culyer and B. Jonsson (eds) Public and Private Health Services: Complementarities and Conflicts (Oxford: Basil Blackwell), pp. 112-127. Loether, H.J. and McTavish, D.G. (1993) Descriptive and Inferential Statistics: An Introduction [4th Edition] (London: Allyn and Bacon). London School of Economics and Political Science and Office of Population Censuses and Surveys (1974) Social Mobility in Britain, 1949 [computer file] (Colchester: ESRC Data Archive). Marsh, C. (1988) Exploring Data (Cambridge: Polity Press). Miles, A. (1993) How open was nineteenth-century British society? Social mobility and equality of opportunity, 1839-1914. In A. Miles and D. Vincent (eds) Building European society: Occupational change and social mobility in Europe 1840-1940 (Manchester: Manchester University Press), pp. 18-39. Oxford Social Mobility Group (1978) Social Mobility Inquiry, 1972 [computer file] (Colchester: ESRC Data Archive). Payne, G. (1987) Mobility and Change in Modern Society (London: Macmillan). Prandy, K. and Bottero, W. (1998) The use of marriage data to measure the social order in nineteenth-century Britain. Sociological Research Online, 3.1, 43-54. Saunders, P. (1989) Social Class and Stratification. (London: Routledge). Smits, J., Ultee, W. and Lammers, J. (1999) Occupational homogamy in eight countries of the European Union, 1975-1989. Acta Sociologica, 42.1, 55-68. Watts, M. (1997) Multidimensional indexes of occupational segregation: A critical assessment. Evaluation Review, 21.4, 461-482. Yao, S.J. and Liu, J.R. (1996) Decomposition of Gini coefficients by class: a new approach. Applied Economics Letters, 3.2, 115-119.
URI: http://wrap.warwick.ac.uk/id/eprint/1280

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