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A general decomposition formula with interaction effects

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  • Martin Biewen

Abstract

This note presents a general way to decompose differences over time or between objects into the ceteris paribus effects and the interaction effects of an arbitrary number of factors. The decomposition addresses the issue of interaction effects between factors which have been neglected in the decomposition literature. It has the additional advantage of being path-independent and aggregation consistent. An empirical application studying distributional change demonstrates that interaction effects may be a relevant feature of reality that is overlooked if other decomposition methods are used.

Suggested Citation

  • Martin Biewen, 2014. "A general decomposition formula with interaction effects," Applied Economics Letters, Taylor & Francis Journals, vol. 21(9), pages 636-642, June.
    • Handle: RePEc:taf:apeclt:v:21:y:2014:i:9:p:636-642
    DOI: 10.1080/13504851.2013.879280
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    Cited by:

    1. Anna Naszodi, 2023. "Direct comparison or indirect comparison via a series of counterfactual decompositions?," Papers 2303.04905, arXiv.org.
    2. Nerijus Černiauskas & Denisa M. Sologon & Cathal O’Donoghue & Linas Tarasonis, 2022. "Income Inequality and Redistribution in Lithuania: The Role of Policy, Labor Market, Income, and Demographics," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(S1), pages 131-166, April.
    3. Becker, Gideon, 2015. "Econometric analysis of the wealth gap between East and West Germany," University of Tübingen Working Papers in Business and Economics 87, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    4. Naszódi, Anna, 2022. "Hogyan szálazzuk szét a megfigyelhető változások okait? [Decomposing observable changes into their causes]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(11), pages 1407-1432.
    5. Julian Jetses & Marcus C. Christiansen, 2021. "A General Surplus Decomposition Principle in Life Insurance," Papers 2111.12967, arXiv.org.
    6. Iryna Kyzyma & Alessio Fusco & Philippe Van Kerm, 2022. "Distributional Change: Assessing the Contribution of Household Income Sources," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(1), pages 158-184, February.
    7. Marcus C. Christiansen, 2021. "On the decomposition of an insurer's profits and losses," Papers 2112.11265, arXiv.org.
    8. Makarski, Krzysztof & Tyrowicz, Joanna, 2023. "Preference for redistribution during structural change with labor mobility frictions," European Journal of Political Economy, Elsevier, vol. 77(C).
    9. Celeste K. Carruthers & Marianne H. Wanamaker, 2017. "Separate and Unequal in the Labor Market: Human Capital and the Jim Crow Wage Gap," Journal of Labor Economics, University of Chicago Press, vol. 35(3), pages 655-696.
    10. Anna NASZODI & Francisco Mendonca, 2024. "Changing educational homogamy: shifting preferences or evolving educational distribution?," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 90(2), pages 256-284, June.
    11. Ali Etezady & F. Atiyya Shaw & Patricia L. Mokhtarian & Giovanni Circella, 2021. "What drives the gap? Applying the Blinder–Oaxaca decomposition method to examine generational differences in transportation-related attitudes," Transportation, Springer, vol. 48(2), pages 857-883, April.
    12. Jinjing Li & Hai Anh La & Denisa M. Sologon, 2021. "Policy, Demography, and Market Income Volatility: What Shaped Income Distribution and Inequality in Australia Between 2002 and 2016?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(1), pages 196-221, March.
    13. LI Jinjing & LA Hai anh & SOLOGON Denisa, 2019. "Policy, demography and market income volatility: What was shaping income distribution in Australia between 2002 and 2016?," LISER Working Paper Series 2019-02, Luxembourg Institute of Socio-Economic Research (LISER).
    14. Linden, Jules & O’Donoghue, Cathal & Sologon, Denisa M., 2024. "The many faces of carbon tax regressivity—Why carbon taxes are not always regressive for the same reason," Energy Policy, Elsevier, vol. 192(C).
    15. Thor O. Thoresen & Zhiyang Jia & Peter J. Lambert, 2016. "Is there More Redistribution Now? A Review of Methods for Evaluating Tax Redistributional Effects," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 72(3), pages 302-333, September.
    16. Li, Phillip & Mayock, Tom, 2019. "Mortgage characteristics and the racial incidence of default," Journal of Housing Economics, Elsevier, vol. 46(C).
    17. Anna Naszodi, 2023. "What do surveys say about the historical trend of inequality and the applicability of two table-transformation methods?," Papers 2303.05895, arXiv.org.
    18. Nerijus Cerniauskas & Denisa M. Sologon & Cathal O’Donoghue & Linas Tarasonis, 2020. "Changes in income inequality in Lithuania: the role of policy, labour market structure, returns and demographics," Bank of Lithuania Working Paper Series 71, Bank of Lithuania.
    19. Jules Linden & Cathal O’Donoghue & Denisa M. Sologon, 2023. "Decomposing the distributional impact of carbon taxation across six EU countries - Comparing the role of budget shares, carbon intensity, savings rates, and asset ownership," LISER Working Paper Series 2023-10, Luxembourg Institute of Socio-Economic Research (LISER).

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