IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v53y2024i2p639-682.html
   My bibliography  Save this article

Moving Beyond Linear Regression: Implementing and Interpreting Quantile Regression Models With Fixed Effects

Author

Listed:
  • Fernando Rios-Avila
  • Michelle Lee Maroto

Abstract

Quantile regression (QR) provides an alternative to linear regression (LR) that allows for the estimation of relationships across the distribution of an outcome. However, as highlighted in recent research on the motherhood penalty across the wage distribution, different procedures for conditional and unconditional quantile regression (CQR, UQR) often result in divergent findings that are not always well understood. In light of such discrepancies, this paper reviews how to implement and interpret a range of LR, CQR, and UQR models with fixed effects. It also discusses the use of Quantile Treatment Effect (QTE) models as an alternative to overcome some of the limitations of CQR and UQR models. We then review how to interpret results in the presence of fixed effects based on a replication of Budig and Hodges’s work on the motherhood penalty using NLSY79 data.

Suggested Citation

  • Fernando Rios-Avila & Michelle Lee Maroto, 2024. "Moving Beyond Linear Regression: Implementing and Interpreting Quantile Regression Models With Fixed Effects," Sociological Methods & Research, , vol. 53(2), pages 639-682, May.
    • Handle: RePEc:sae:somere:v:53:y:2024:i:2:p:639-682
    DOI: 10.1177/00491241211036165
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/00491241211036165
    Download Restriction: no
    File URL: https://libkey.io/10.1177/00491241211036165?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Markus Gangl & Andrea Ziefle, 2009. "Motherhood, labor force behavior, and women’s careers: An empirical assessment of the wage penalty for motherhood in britain, germany, and the united states," Demography, Springer;Population Association of America (PAA), vol. 46(2), pages 341-369, May.
    2. Sergio Firpo & Cristine Pinto, 2016. "Identification and Estimation of Distributional Impacts of Interventions Using Changes in Inequality Measures," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(3), pages 457-486, April.
    3. Bijan J. Borah & Anirban Basu, 2013. "Highlighting Differences Between Conditional And Unconditional Quantile Regression Approaches Through An Application To Assess Medication Adherence," Health Economics, John Wiley & Sons, Ltd., vol. 22(9), pages 1052-1070, September.
    4. Sergio P. Firpo & Nicole M. Fortin & Thomas Lemieux, 2018. "Decomposing Wage Distributions Using Recentered Influence Function Regressions," Econometrics, MDPI, vol. 6(2), pages 1-40, May.
    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. Wang, Keying & Cui, Yongyan & Zhang, Hongwu & Shi, Xunpeng & Xue, Jinjun & Yuan, Zhao, 2022. "Household carbon footprints inequality in China: Drivers, components and dynamics," Energy Economics, Elsevier, vol. 115(C).
    2. Cécile Couharde & Rémi Generoso, 2024. "Assessing the Impact of National Air Quality Standards on Agricultural Land Values: Insights from Corn and Soybean Regions," Working Papers hal-04503777, HAL.
    3. Schneck, Stefan, 2018. "The effect of self-employment on income inequality," Working Papers 05/18, Institut für Mittelstandsforschung (IfM) Bonn.
    4. Khadija Bchi & Paul Makdissi & Myra Yazbeck, 2024. "A modeling approach to decomposing changes in health concentration curves," Working Papers 2403E, University of Ottawa, Department of Economics.
    5. Rui Evangelista & João Andrade E Silva & Esmeralda A. Ramalho, 2021. "How heterogeneous is the impact of energy efficiency on dwelling prices? Evidence from the application of the unconditional quantile hedonic model to the Portuguese residential market," Working Papers REM 2021/0186, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    6. Stefan Schneck, 2020. "Self-employment as a source of income inequality," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 10(1), pages 45-64, March.
    7. Jinglin Feng & Linlin Fan & Edward C. Jaenicke, 2024. "The distributional impact of SNAP on dietary quality," Agricultural Economics, International Association of Agricultural Economists, vol. 55(1), pages 104-139, January.
    8. Hope Bodenschatz & Gerald Eric Daniels Jr. & Jeffrey P. Thompson, 2023. "Decomposing Lifetime-Earnings Differences between White, Black, and Hispanic Families," Working Papers 23-14, Federal Reserve Bank of Boston.
    9. Juan Cruz Varvello & Jorge Camusso & Ana Inés Navarro, 2022. "Teletrabajo y distribución de ingresos laborales en Argentina," Asociación Argentina de Economía Política: Working Papers 4605, Asociación Argentina de Economía Política.
    10. Klein Teeselink, Bouke & Zauberman, Gal, 2023. "The Anna Karenina income effect: Well-being inequality decreases with income," Journal of Economic Behavior & Organization, Elsevier, vol. 212(C), pages 501-513.
    11. Heather Dickey & Alessa M. Widmaier, 2021. "The persistent pay gap between Easterners and Westerners in Germany: A quarter‐century after reunification," Papers in Regional Science, Wiley Blackwell, vol. 100(3), pages 605-631, June.
    12. Susan Harkness, 2022. "Single Mothers’ Income in Twelve Rich Nations: Differences in Disadvantage across the Distribution," LIS Working papers 835, LIS Cross-National Data Center in Luxembourg.
    13. Zanola, Roberto & Vecco, Marilena & Jones, Andrew, 2021. "A place for everything and everything in its place: New York's role in the art market," Research in Economics, Elsevier, vol. 75(3), pages 215-224.
    14. Daniel McMillen & Chihiro Shimizu, 2021. "Decompositions of house price distributions over time: The rise and fall of Tokyo house prices," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 49(4), pages 1290-1314, December.
    15. Varvello Juan Cruz & Camusso Jorge & Navarro Ana Inés, 2023. "Does Teleworking Affect The Labor Income Distribution? Empirical Evidence From South American Countries," Asociación Argentina de Economía Política: Working Papers 4698, Asociación Argentina de Economía Política.
    16. Georgios Bertsatos & Plutarchos Sakellaris & Mike G. Tsionas, 2022. "Extensions of the Pesaran, Shin and Smith (2001) bounds testing procedure," Empirical Economics, Springer, vol. 62(2), pages 605-634, February.
    17. Kadreva, Olga, 2016. "The influence of quantity and age of children on working women’ salaries," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 41, pages 62-77.
    18. Wang, Zheng-Xin & Jv, Yue-Qi, 2023. "Revisiting income inequality among households: New evidence from the Chinese Household Income Project," China Economic Review, Elsevier, vol. 81(C).
    19. Huong Thu Le & Ha Trong Nguyen, 2018. "The evolution of the gender test score gap through seventh grade: new insights from Australia using unconditional quantile regression and decomposition," IZA Journal of Labor Economics, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 7(1), pages 1-42, December.
    20. Töpfer, Marina, 2017. "Detailed RIF decomposition with selection: The gender pay gap in Italy," Hohenheim Discussion Papers in Business, Economics and Social Sciences 26-2017, University of Hohenheim, Faculty of Business, Economics and Social Sciences.

    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:sae:somere:v:53:y:2024:i:2:p:639-682. 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: SAGE Publications (email available below). General contact details of provider: .

    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.