IDEAS home Printed from https://ideas.repec.org/p/yor/hectdg/06-06.html
   My bibliography  Save this paper

A Semiparametric Derivative Estimator in Log Transformation Models

Author

Listed:
  • Chunrong Ai
  • Edward Norton

Abstract

This paper considers a regression model with a log-transformed dependent variable. The log transformed model is estimated by simple least squares, but computing the conditional mean of the dependent variable on the original scale given the explanatory variables analytically requires knowing the conditional distribution of the error term in the transformed model. We show how to obtain a consistent estimator for the conditional mean and its derivatives without specifying the conditional distribution of the error term. The asymptotic distribution of the estimator is derived. The proposed procedure is then illustrated with health expenditure data from the Medical Expenditure Panel Survey.

Suggested Citation

  • Chunrong Ai & Edward Norton, 2006. "A Semiparametric Derivative Estimator in Log Transformation Models," Health, Econometrics and Data Group (HEDG) Working Papers 06/06, HEDG, c/o Department of Economics, University of York.
    • Handle: RePEc:yor:hectdg:06/06
    as

    Download full text from publisher

    File URL: https://www.york.ac.uk/media/economics/documents/herc/wp/06_06.pdf
    File Function: Main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Devon Wilson & Donald Dantzler & Damian Evans & Richard McGregory, 2020. "Do Racial Disparities Exist in the Labor Market for Educators?," Journal of Economics, Race, and Policy, Springer, vol. 3(3), pages 195-204, September.
    2. Ciani Emanuele & Fisher Paul, 2019. "Dif-in-Dif Estimators of Multiplicative Treatment Effects," Journal of Econometric Methods, De Gruyter, vol. 8(1), pages 1-10, January.
    3. Devon Wilson & Donald Dantzler & Damian Evans & Richard McGregory, 0. "Do Racial Disparities Exist in the Labor Market for Educators?," Journal of Economics, Race, and Policy, Springer, vol. 0, pages 1-10.
    4. Marcu, Mircea & Knapp, Caprice & Madden, Vanessa & Brown, David & Wang, Hua & Sloyer, Phyllis, 2014. "Effects of an Integrated Care System on Children with Special Health Care Needs' Medicaid Expenditures," Working Papers 2014-8, University of Alberta, Department of Economics.
    5. Richard McGregory, 2013. "An Analysis of Black–White Wage Differences in Nursing: Wage Gap or Wage Premium?," The Review of Black Political Economy, Springer;National Economic Association, vol. 40(1), pages 31-37, March.
    6. Richard McGregory & James Peoples, 2013. "Compensation of Foreign and Domestic Nurses in the US," Journal of Labor Research, Springer, vol. 34(2), pages 203-223, June.
    7. Aliasghar, Omid & Haar, Jarrod, 2023. "Open innovation: Are absorptive and desorptive capabilities complementary?," International Business Review, Elsevier, vol. 32(2).
    8. Shengwu Shang & Erik Nesson & Maoyong Fan, 2018. "Interaction Terms In Poisson And Log Linear Regression Models," Bulletin of Economic Research, Wiley Blackwell, vol. 70(1), pages 89-96, January.
    9. Ai, Chunrong & Li, Hongjun & Lin, Zhongjian & Meng, Meixia, 2015. "Estimation of panel data partly specified Tobit regression with fixed effects," Journal of Econometrics, Elsevier, vol. 188(2), pages 316-326.
    10. Zhong, Rong (Irene), 2018. "Transparency and firm innovation," Journal of Accounting and Economics, Elsevier, vol. 66(1), pages 67-93.
    11. Borislava Mihaylova & Andrew Briggs & Anthony O'Hagan & Simon G. Thompson, 2011. "Review of statistical methods for analysing healthcare resources and costs," Health Economics, John Wiley & Sons, Ltd., vol. 20(8), pages 897-916, August.

    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:yor:hectdg:06/06. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Jane Rawlings (email available below). General contact details of provider: https://edirc.repec.org/data/deyoruk.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.