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Abstract

The problem of measuring the inequality of distributions of variables along vanous dimensions of social stratification has usually been discussed in social science literature in relation to income distribution. Doubts are expressed in this paper about the fruitfulness of approaches that search for perfect numerical measures of inequality or mathematical formulas. The combined use of two graphical methods - simple frequency diagrams and the Lorenz curve - is proposed as an alternative, and the connection between them elucidated. An attempt is made to illustrate by visual methods the main types of distributions 'in the social consciousness' After a brief summary of some of the most important principles for selecting between still used numencal measures of inequality, the applicability of the primanly proposed visual ways of representation is demonstrated by a practical example dealing with income size distributions of households in the United States, Sweden and Hungary in 1977.

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References

Aitchison, J. & Brown, J. A.C. The Lognormal Distribution , Cambndge University Press, Cambndge 1957.

Allison, Paul D. 'Measures of Inequality', American Sociological Review , Vol. 43 (1978), pp. 865-880.

Atkinson, A.B. 'On the Measurement of Inequality', Journal of Economic Theory, Vol 2 ( 1970), pp. 244-263; also in Atkinson, A. B. (ed ), Wealth, Income and Inequality, Penguin, Harmondsworth 1973 , pp. 46-68.

Blau, Peter M. Inequality and Heterogeneity, The Free Press, New York 1977.

Boulding, Kenneth E. 'The Pursuit of Equality' in Smith, J. D. (ed.), The Personal Distribution of Income and Wealth, Studies in Income and Wealth (Vol. 39), National Bureau of Economic Research, Columbia University Press, New York 1975.

Bowman, Mary Jean. 'A Graphical Analysis of Personal Income Distribution in the United States', American Economic Review, Vol. 35 (1945), No. 4 (September), pp. 607-628; also in Fellner, W & Haley, B. F. (eds.), Readings in the Theory of Income Distribution , Allen & Unwin, London 1961.

Bronfenbrenner, M. Income Distribution Theory, Macmillan, London 1971.

Brown, J.A.C. 'The Mathematical and Statistical Theory of Income Distribution' in Atkinson, A. B. (ed. ), The Personal Distribution of Incomes, Allen & Unwin, London 1976.

Cowell, F.A. Measuring Inequality, Philip Allan, Oxford 1977.

10.

'CPR': U.S. Bureau of the Census, Current Population Reports, Series P-60, No. 122, 'Illustrative Projections of Money Income Size Distributions, for Households: 1980 to 1995', U.S. Government Printing Office, Washington D.C. 1980.

11.

Garvy, G. 'Inequality of Income: Causes and Measurement' in Studies in Income and Wealth, Vol. 15, National Bureau of Economic Research, New York 1952.

12.

Juster, F. T. (ed.), The Distribution of Economic Well-Being, Studies in Income and Wealth, Vol. 41, National Bureau of Economic Research, Ballinger, Cambridge, Mass 1977.

13.

'KSH': 'The Level and Dispersion of Family Incomes in 1977' (in Hungarian), (Central Statistical Office) Kozponti Statisztikai Hivatal , Budapest 1980.

14.

Lydall, H.F. 'The Long-term Trend in the Size Distribution of Income', Journal of the Royal Statistical Society, A 122, 1959, pp. 1-36

15.

Morgan, J.N. , David, M.H. , Cohen, W.J. & Brazer, H.E. Income and Welfare in the United States, McGraw-Hill, New York 1962.

16.

Ossowski, S. Class Structure in the Social Consciousness, Routledge & Kegan Paul, London 1963.

17.

Pen, J. Income Distribution, Allen Lane, The Penguin Press, London 1971.

18.

Sawyer, M. Income Distribution in the OECD Countries, OECD, Paris 1976.

19.

Schnitzer, M. Income Distribution, Praeger, New York/London 1974.

20.

Schutz, R.R. 'On the Measurement of Income Inequality', American Economic Review, Vol. 41 (1951), pp. 107-122.

21.

Sen, A. On Economic Inequality, Clarendon Press, Oxford 1973.

22.

Smith, J D. (ed.), 'Introduction' in The Personal Distribution of Income and Wealth, Studies in Income and Wealth, Vol. 39, National Bureau of Economic Research, Columbia University Press, New York 1975

23.

Statistiska meddelanden (Statistical Reports) N 1979:4 Inkomstfordelningsundersokningen 1977 (Income distribution survey in 1977), Sveriges officiella statistik, Statistiska centralbyrån, Stockholm 1979.

24.

Theil, H. Economics and Information Theory, North-Holland, Amsterdam 1967.

25.

Young, A.A. 'Do the Statistics of the Concentration of Wealth in the United States Mean What They are Commonly Assumed to Mean?' Journal of the American Statistical Association, Vol. 15, New Series, No. 117 (March 1917), pp. 471-484.

26.

Yule, G.U. & Kendall, M.G. An Introduction to the Theory of Statistics, Griffin, London 1950.

Some Ways of Examining Dimensional Distributions

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