Decomposition of differences in income distributions using  quantile regression

Joanna Małgorzata  Landmesser

doi:https://doi.org/10.59170/stattrans-2016-019

Decomposition of differences in income distributions using quantile regression

Joanna Małgorzata Landmesser Warsaw University of Life Sciences. Statistics in Transition new series, vol. 17, 2016, 2, pages: 331-348 Published online: 1 June 2016 https://doi.org/10.59170/stattrans-2016-019

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ABSTRACT

The paper deals with microeconometric techniques useful for the study of differences between groups of objects, methods that go beyond simple comparison of average values. Techniques for the decomposition of differences in distributions by constructing counterfactual distributions were considered. Using the Machado-Mata quantile regression approach the empirical decomposition of the inequalities in income distributions of one-person households in urban and rural areas was performed. We employed data from the Household Budget Survey for Poland in 2012. It was found that the tendency towards increased income inequalities between urban and rural residents when moving to the right of the income distribution can be observed. The rural residents are at a disadvantage. The decomposition of the inequalities revealed a growing share of the part explained by different characteristics of people and a declining share of the unexplained part, associated with the evaluation of those characteristics

KEYWORDS

decomposition of differences, quantile regression, counterfactual distribution.

REFERENCES

ADAMCHIK, V. A., BEDI, A. S., (2003). Gender pay differentials during the transition in Poland. Economics of Transition, 11(4), pp. 697–726.

ALBRECHT, J., BJÖRKLUND, A., VROMAN, S., (2003). Is There a Glass Ceiling in Sweden? Journal of Labor Economics, 21, pp. 145–177.

ALI, L. R., RAMAY, M. I., NAS, Z., (2013). Analysis of the determinants of income and income gap between urban and rural Pakistan. Interdisciplinary Journal of Contemporary Research in Business, 5(1), pp. 858–885.

AUTOR, D. H., KATZ, L. B., KEARNEY, M. S., (2005). Rising Wage Inequality: The Role of Composition and Prices. Cambridge: NBER Working Paper, No. 11628.

BLINDER, A., (1973). Wage Discrimination: Reduced Form and Structural Estimates. Journal of Human Resources, 8, pp. 436–455.

BOURGUIGNON, F., FERREIRA, F. H. G., (2005). Decomposing Changes in the Distribution of Household Incomes: Methodological Aspects. In: F. Bourguignon, F. H. G. Ferreira and N. Lustig, eds. 2005. The Microeconomics of Income Distribution Dynamics in East Asia and Latin America. Washington: World Bank and Oxford University Press. pp. 17–46.

CARD, D., (1992). The Effects of Unions on the Distribution of Wages: Redistribution or Relabelling? Cambridge: NBER Working Paper, No. 4195.

CHAMARBAGWALA, R., (2010). Economic Liberalization and Urban-Rural Inequality in India: a Quantile Regression Analysis. Empirical Economics, 39, pp. 371–394.

DINARDO, J., FORTIN, N. M., LEMIEUX, T., (1996). Labor Market Institutions and the Distribution of Wages, 1973-1992: A Semiparametric Approach. Econometrica, 64, pp. 1001–1044.

DONALD, S. G., GREEN, D. A., PAARSCH, H. J., (2000). Differences in Wage Distributions between Canada and the United States: An Application of a Flexible Estimator of Distribution Functions in the Presence of Covariates. Review of Economic Studies, 67, pp. 609–633.

FORTIN, N. M., LEMIEUX, T., (1998). Rank Regressions, Wage Distributions, and the Gender Gap. Journal of Human Resources, 33, pp. 610–643.

FORTIN, N., LEMIEUX, T., FIRPO S., (2010). Decomposition methods in economics. Cambridge: NBER Working Paper, No. 16045.

GORAUS, K., (2013). Luka płacowa miedzy kobietami a mężczyznami w Polsce. Available at:

[Accessed 20 September 2015].

GOSLING, A., MACHIN, S., MEGHIR, C., (2000). The Changing Distribution of Male Wages in the UK. Review of Economic Studies, 67, pp. 635–686.

GOULD, W. W., (1992). Quantile Regression with Bootstrapped Standard Errors. Stata Technical Bulletin, 9, pp. 19–21.

GOULD, W. W., (1997). Interquantile and Simultaneous-Quantile Regression. Stata Technical Bulletin, 38, pp. 14–22.

GRAJEK, M., (2003). Gender Pay Gap in Poland. Economic Change and Restructuring, 36(1), pp. 23–44.

GUS, (2013). Budżety Gospodarstw Domowych w 2012 r. [Household Budget Survey 2012] Warsaw: Central Statistical Office, Social Surveys and Living Conditions Statistics Department.

HAISKEN-DENEW, J. P., MICHAELSEN, M.M., (2011). Migration Magnet: The Role of Work Experience in Rural-Urban Wage Differentials in Mexico. Bochum: Ruhr Economic Papers No. 263.

HUONG, T. L., BOOTH, A. L., (2010). Inequality in Vietnamese Urban-Rural Living Standards, 1993-2006. Bonn: IZA Discussion Paper, No. 4987.

JUHN, CH., MURPHY, K. M., PIERCE, B., (1993). Wage Inequality and the Rise in Returns to Skill. Journal of Political Economy, 101, pp. 410–442.

KNIGHT, J., SONG, L., (1999). The Urban-Rural Divide: Economic Disparities and Interactions in China. New York: Oxford University Press.

KOENKER, R., BASSETT, G., (1978). Regression Quantiles. Econometrica, 46, pp. 33–50.

KOT, S. M., PODOLEC, B., ULMAN, P., (1999). Problem dyskryminacji płacowej ze względu na płeć [Problem of earning discrimination by gender]. In: Kot, S.M., ed. 1999. Analiza ekonometryczna kształtowania się płac w Polsce w okresie transformacji. Warszawa, Kraków: Wydawnictwo Naukowe PWN.

MACHADO, J. F., MATA, J., (2005). Counterfactual Decomposition of Changes in Wage Distributions Using Quantile Regression. Journal of Applied Econometrics, 20, pp. 445–465.

MATITA, M. M., CHIRWA, E. W., (2009). Rural-Urban Welfare Inequalities in Malawi: Evidence from a Decomposition Analysis. University of Malawi Chancellor College, Department of Economics, Working Paper No. 2009/05.

MELLY, B., (2005). Public-Private Sector Wage Differentials in Germany: Evidence from Quantile Regression. Empirical Economics, 30, pp. 505–520.

MELLY, B., (2006). Estimation of counterfactual distributions using quantile regression. Review of Labor Economics, 68 (4), pp. 543–572.

MILES, D., (1997). A household level study of the determinants of incomes and consumption. The Economic Journal, 107(440), pp. 1–25.

NEWELL, A., SOCHA, M., (2005). The Distribution of Wages in Poland. Bonn: IZA Discussion Paper, No. 1485.

NGUYEN, B. T., ALBRECHT, J. W., VROMAN, S. B., WESTBROOK, M. D., (2007). A Quantile Regression Decomposition of Urban-Rural Inequality in Vietnam. Journal of Development Economics, 83, pp. 466–490.

OAXACA, R., (1973). Male-Female Wage Differentials in Urban Labor Markets. International Economic Review, 14, pp. 693–709.

ROKICKA, M., RUZIK, A., (2010). The Gender Pay Gap in Informal Employment in Poland. Warszawa: CASE Network Studies and Analyses, No. 406.

SALARDI, P., (2012). Wage Disparities and Occupational Intensity by Gender and Race in Brazil: An Empirical Analysis using Quantile Decomposition Techniques. Brighton: University of Sussex, Job Market Paper. Available at: [Accessed 20 September 2015].

SICULAR, T., YUE, X., GUSTAFSSON, B., LI, S., (2007). The Urban-Rural Income Gap and Inequality in China. Review of Income and Wealth, 53 (1), pp. 93–126.

SHIPI, F., (2008). Migration, Sorting and Regional Inequality: Evidence from Bangladesh. World Bank Policy Research Working Paper No. 4616.

SŁOCZYŃSKI, T., (2012). Wokół międzynarodowego zróżnicowania międzypłciowej luki płacowej [The issue of international differentiation of inter-gender earning gap]. International Journal of Management and Economics, 34, pp. 169–185.

SU, B., HESHMATI, A., (2013). Analysis of the Determinants of Income and Income Gap between Urban and Rural China. Bonn: IZA Discussion Paper, No. 7162.

ŚLIWICKI, D., RYCZKOWSKI, M., (2014). Gender Pay Gap in the micro level – case of Poland. Quantitative Methods in Economics, Vol. XV, No. 1, pp. 159–173.