IDEAS home Printed from https://ideas.repec.org/p/ssb/dispap/498.html
   My bibliography  Save this paper

Measuring Income Inequality under Restricted Interpersonal Comparability

Author

Abstract

The standard approach in empirical analyses of income distributions is to estimate income inequality in a country under the assumption of full interpersonal comparability of income. To be meaningful, this method requires that prices and qualities of goods as well as consumption habits are uniform across individuals in different regions of the country. In this paper, we pursue two alternative approaches to measure inequality under restricted interpersonal comparability of income. First, we estimate regional price indices, transform observed incomes into real incomes in an attempt to incorporate relevant non-income heterogeneity, and then aggregate across individuals. Second, we use the observed income data and account for non-income heterogeneity at the aggregation stage. Results based on a Norwegian register household panel data set indicates that both levels and trends in overall inequality as well as the inequality contributions of various income factors are robust to whether the income inequality analysis is based on the standard approach or the methods developed to cope with comparability problems within a country.

Suggested Citation

  • Magne Mogstad, 2007. "Measuring Income Inequality under Restricted Interpersonal Comparability," Discussion Papers 498, Statistics Norway, Research Department.
  • Handle: RePEc:ssb:dispap:498
    as

    Download full text from publisher

    File URL: https://www.ssb.no/a/publikasjoner/pdf/DP/dp498.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    2. Fleurbaey, Marc & Hagnere, Cyrille & Trannoy, Alain, 2003. "Welfare comparisons with bounded equivalence scales," Journal of Economic Theory, Elsevier, vol. 110(2), pages 309-336, June.
    3. T. Paul Schultz, 1998. "Inequality in the distribution of personal income in the world: How it is changing and why," Journal of Population Economics, Springer;European Society for Population Economics, vol. 11(3), pages 307-344.
    4. Erik Fjærli & Rolf Aaberge, 2000. "Tax Reforms, Dividend Policy and Trends in Income Inequality Empirical Evidence based on Norwegian Data," Discussion Papers 284, Statistics Norway, Research Department.
    5. Das, T & Parikh, A, 1982. "Decomposition of Inequality Measures and a Comparative Analysis," Empirical Economics, Springer, vol. 7(1-2), pages 23-48.
    6. Dagum, Camilo, 1997. "A New Approach to the Decomposition of the Gini Income Inequality Ratio," Empirical Economics, Springer, vol. 22(4), pages 515-531.
    7. Jenkins, Stephen P & Lambert, Peter J, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-356, December.
    8. Frank A. Cowell, 1980. "On the Structure of Additive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 521-531.
    9. Robert J. Hill, 2004. "Constructing Price Indexes across Space and Time: The Case of the European Union," American Economic Review, American Economic Association, vol. 94(5), pages 1379-1410, December.
    10. Magne Mogstad & Audun Langørgen & Rolf Aaberge, 2007. "Region-specific versus country-specific poverty lines in analysis of poverty," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(1), pages 115-122, April.
    11. Atkinson, A B, 1996. "Income Distribution in Europe and the United States," Oxford Review of Economic Policy, Oxford University Press, vol. 12(1), pages 15-28, Spring.
    12. John C. H. Fei & Gustav Ranis & Shirley W. Y. Kuo, 1978. "Growth and the Family Distribution of Income by Factor Components," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(1), pages 17-53.
    13. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Decomposition of rank-dependent measures of inequality by subgroups," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 493-503.
    14. Coulter, Fiona A E & Cowell, Frank A & Jenkins, Stephen P, 1992. "Differences in Needs and Assessment of Income Distributions," Bulletin of Economic Research, Wiley Blackwell, vol. 44(2), pages 77-124, April.
    15. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-1227, September.
    16. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-329, September.
    17. Rolf Aaberge, 2007. "Gini’s nuclear family," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 305-322, December.
    18. W. Erwin Diewert, 1999. "Axiomatic and Economic Approaches to International Comparisons," NBER Chapters, in: International and Interarea Comparisons of Income, Output, and Prices, pages 13-107, National Bureau of Economic Research, Inc.
    19. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 400-405, October.
    20. Rolf Aaberge & Tom Wennemo & Anders Bjorklund & Markus Jantti & Peder J. Pedersen & Nina Smith, 2000. "Unemployment Shocks and Income Distribution: How did the Nordic Countries Fare during their Crises?," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(1), pages 77-99, March.
    21. Aaberge, Rolf, 2001. "Axiomatic Characterization of the Gini Coefficient and Lorenz Curve Orderings," Journal of Economic Theory, Elsevier, vol. 101(1), pages 115-132, November.
    22. Z. M. Berrebi & Jacques Silber, 1985. "Income Inequality Indices and Deprivation: A Generalization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(3), pages 807-810.
    23. Lambert, Peter J & Ramos, Xavier, 2002. "Welfare Comparisons: Sequential Procedures for Heterogeneous Populations," Economica, London School of Economics and Political Science, vol. 69(276), pages 549-562, November.
    24. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    25. Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-547, August.
    26. Cowell, Frank A, 1988. "Inequality Decomposition: Three Bad Measures," Bulletin of Economic Research, Wiley Blackwell, vol. 40(4), pages 309-312, October.
    27. Rolf Aaberge, 2001. "Sampling Errors and Cross-Country Comparisons of Income Inequality," Journal of Income Distribution, Ad libros publications inc., vol. 10(1-2), pages 6-6, June.
    28. Chen, Yi Vivian & Heston, Alan & Lipsey, Robert, 2000. "International and interarea comparisons of income, output and prices," Journal of Asian Economics, Elsevier, vol. 11(3), pages 363-364, December.
    29. Marris, Robin, 1984. "Comparing the Incomes of Nations: A Critique of the International Comparison Project," Journal of Economic Literature, American Economic Association, vol. 22(1), pages 40-57, March.
    30. Stephen P. Jenkins & Peter J. Lambert, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-356, December.
    31. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-394, October.
    32. Andrea Brandolini, 2006. "Measurement of Income Distribution in Supranational Entities: The Case of the European Union," LIS Working papers 452, LIS Cross-National Data Center in Luxembourg.
    33. Aaberge, Rolf, 1997. "Interpretation of changes in rank-dependent measures of inequality," Economics Letters, Elsevier, vol. 55(2), pages 215-219, August.
    34. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-397, October.
    35. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-115, February.
    36. Andrea Brandolini & Anthony B. Atkinson, 2001. "Promise and Pitfalls in the Use of "Secondary" Data-Sets: Income Inequality in OECD Countries As a Case Study," Journal of Economic Literature, American Economic Association, vol. 39(3), pages 771-799, September.
    37. J. Peter Neary, 2004. "Rationalizing the Penn World Table: True Multilateral Indices for International Comparisons of Real Income," American Economic Review, American Economic Association, vol. 94(5), pages 1411-1428, December.
    38. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    39. Lerman, Robert I & Yitzhaki, Shlomo, 1985. "Income Inequality Effects by Income," The Review of Economics and Statistics, MIT Press, vol. 67(1), pages 151-156, February.
    40. Pyatt, Graham, 1976. "On the Interpretation and Disaggregation of Gini Coefficients," Economic Journal, Royal Economic Society, vol. 86(342), pages 243-255, June.
    41. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
    42. Yitzhaki, Shlomo, 1994. "Economic distance and overlapping of distributions," Journal of Econometrics, Elsevier, vol. 61(1), pages 147-159, March.
    43. Shlomo Yitzhaki & Robert I. Lerman, 1991. "Income Stratification And Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-329, September.
    44. James E. Foster & Artyom A. Shneyerov, 1999. "A general class of additively decomposable inequality measures," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 89-111.
    45. Foster, James E., 1983. "An axiomatic characterization of the Theil measure of income inequality," Journal of Economic Theory, Elsevier, vol. 31(1), pages 105-121, October.
    46. Graham Pyatt & Chau-nan Chen & John Fei, 1980. "The Distribution of Income by Factor Components," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 451-473.
    47. Dean Jolliffe, 2006. "Poverty, Prices, and Place: How Sensitive is the Spatial Distribution of Poverty to Cost of Living Adjustments?," Economic Inquiry, Western Economic Association International, vol. 44(2), pages 296-310, April.
    Full references (including those not matched with items on IDEAS)

    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. Stéphane Mussard & Françoise Seyte & Michel Terraza, 2006. "La décomposition de l’indicateur de Gini en sous-groupes : une revue de la littérature," Cahiers de recherche 06-11, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    2. Stéphane Mussard & Michel Terraza, 2009. "Décompositions des mesures d'inégalité : le cas des coefficients de Gini et d'entropie," Recherches économiques de Louvain, De Boeck Université, vol. 75(2), pages 151-181.
    3. I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
    4. Jurkatis, Simon & Strehl, Wolfgang, 2014. "Gini decompositions and Gini elasticities: On measuring the importance of income sources and population subgroups for income inequality," Discussion Papers 2014/22, Free University Berlin, School of Business & Economics.
    5. St鰨ane Mussard & Patrick Richard, 2012. "Linking Yitzhaki's and Dagum's Gini decompositions," Applied Economics, Taylor & Francis Journals, vol. 44(23), pages 2997-3010, August.
    6. Michele Giammatteo, 2007. "The bidimensional decomposition of inequality: A nested Theil approach," LIS Working papers 466, LIS Cross-National Data Center in Luxembourg.
    7. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Decomposition of rank-dependent measures of inequality by subgroups," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 493-503.
    8. St鰨ane Mussard & Luc Savard, 2012. "The Gini multi-decomposition and the role of Gini's transvariation: application to partial trade liberalization in the Philippines," Applied Economics, Taylor & Francis Journals, vol. 44(10), pages 1235-1249, April.
    9. Simon Jurkatis, "undated". "Dos and Don'ts of Gini Decompositions," BDPEMS Working Papers 2013003, Berlin School of Economics.
    10. Chiang, Yen-Sheng, 2015. "Inequality measures perform differently in global and local assessments: An exploratory computational experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 1-11.
    11. Paul Makdissi & Stéphane Mussard, 2008. "Decomposition of s-concentration curves," Canadian Journal of Economics, Canadian Economics Association, vol. 41(4), pages 1312-1328, November.
    12. Luc Savard & Stéphane Mussard, 2005. "Horizontal and Vertical Redistribution and Micro-simulation," Cahiers de recherche 05-03, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    13. Stéphane Mussard, 2005. "On Decomposition of the Gini Index of Equality," Cahiers de recherche 05-09, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    14. 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.
    15. Ebert, Udo, 2010. "The decomposition of inequality reconsidered: Weakly decomposable measures," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 94-103, September.
    16. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    17. Branko Milanovic, 2002. "True World Income Distribution, 1988 and 1993: First Calculation Based on Household Surveys Alone," Economic Journal, Royal Economic Society, vol. 112(476), pages 51-92, January.
    18. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
    19. Stéphane Mussard & Kuan Xu, 2006. "Multidimensional Decomposition of the Sen Index: Some Further Thoughts," Cahiers de recherche 06-08, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    20. Tugce, Cuhadaroglu, 2013. "My Group Beats Your Group: Evaluating Non-Income Inequalities," SIRE Discussion Papers 2013-49, Scottish Institute for Research in Economics (SIRE).

    More about this item

    Keywords

    Income inequality; restricted interpersonal comparability; heterogeneity; real income comparison; regional price index; decomposition of inequality by income factors;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D33 - Microeconomics - - Distribution - - - Factor Income Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I30 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General

    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:ssb:dispap:498. 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: L Maasø (email available below). General contact details of provider: https://edirc.repec.org/data/ssbgvno.html .

    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.