IDEAS home Printed from https://ideas.repec.org/p/kud/kuieca/2006_10.html
   My bibliography  Save this paper

A Note on the Correlated Random Coefficient Model

Author

Listed:
  • Christophe Kolodziejczyk

    (Department of Economics, University of Copenhagen)

Abstract

In this note we derive the bias of the OLS estimator for a correlated random coefficient model with one random coefficient, but which is correlated with a binary variable. We provide set-identification to the parameters of interest of the model. We also show how to reduce the bias of the estimator.

Suggested Citation

  • Christophe Kolodziejczyk, 2006. "A Note on the Correlated Random Coefficient Model," CAM Working Papers 2006-10, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
    • Handle: RePEc:kud:kuieca:2006_10
    as

    Download full text from publisher

    File URL: http://www.econ.ku.dk/cam/wp0910/wp0406/2006-10.pdf/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. James Heckman & Edward Vytlacil, 1998. "Instrumental Variables Methods for the Correlated Random Coefficient Model: Estimating the Average Rate of Return to Schooling When the Return is Correlated with Schooling," Journal of Human Resources, University of Wisconsin Press, vol. 33(4), pages 974-987.
    2. Martin Browning & Valérie Lechene, 2003. "Children and Demand: Direct and Non-Direct Effects," Review of Economics of the Household, Springer, vol. 1(1), pages 9-31, January.
    3. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Christophe Kolodziejczyk, 2006. "Retirement and Fixed Costs to Work: An Empirical Analysis," CAM Working Papers 2006-09, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.

    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. Christophe Kolodziejczyk, 2006. "Retirement and Fixed Costs to Work: An Empirical Analysis," CAM Working Papers 2006-09, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
    2. Lídia Farré & Roger Klein & Francis Vella, 2013. "A parametric control function approach to estimating the returns to schooling in the absence of exclusion restrictions: an application to the NLSY," Empirical Economics, Springer, vol. 44(1), pages 111-133, February.
    3. Aakvik, Arild & Salvanes, Kjell G. & Vaage, Kjell, 2003. "Measuring Heterogeneity in the Returns to Education in Norway Using Educational Reforms," IZA Discussion Papers 815, Institute of Labor Economics (IZA).
    4. Friedhelm PFEIFFER & Winfried POHLMEIER, 2011. "Causal Returns to Schooling and Individual Heterogeneity," Review of Economic and Business Studies, Alexandru Ioan Cuza University, Faculty of Economics and Business Administration, issue 8, pages 29-41, December.
    5. Tobias Klein, 2013. "College education and wages in the U.K.: estimating conditional average structural functions in nonadditive models with binary endogenous variables," Empirical Economics, Springer, vol. 44(1), pages 135-161, February.
    6. Lee, Sokbae, 2007. "Endogeneity in quantile regression models: A control function approach," Journal of Econometrics, Elsevier, vol. 141(2), pages 1131-1158, December.
    7. Cornelissen, Thomas & Dustmann, Christian & Raute, Anna & Schönberg, Uta, 2016. "From LATE to MTE: Alternative methods for the evaluation of policy interventions," Labour Economics, Elsevier, vol. 41(C), pages 47-60.
    8. Arcidiacono, Peter, 2004. "Ability sorting and the returns to college major," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 343-375.
    9. Cunha, Flavio & Heckman, James J., 2007. "Identifying and Estimating the Distributions of Ex Post and Ex Ante Returns to Schooling," Labour Economics, Elsevier, vol. 14(6), pages 870-893, December.
    10. Harry Patrinos & Chris Sakellariou, 2005. "Schooling and Labor Market Impacts of a Natural Policy Experiment," LABOUR, CEIS, vol. 19(4), pages 705-719, December.
    11. Kumar, Anil & Liang, Che-Yuan, 2020. "Estimating taxable income responses with elasticity heterogeneity," Journal of Public Economics, Elsevier, vol. 188(C).
    12. Giuseppe Migali & Ian Walker, 2018. "Estimates of the Causal Effects of Education on Earnings over the Life Cycle with Cohort Effects and Endogenous Education," CESifo Economic Studies, CESifo, vol. 64(3), pages 516-544.
    13. Jean-Louis ARCAND & Béatrice D'HOMBRES & Paul GYSELINCK, 2004. "Instrument Choice and the Returns to Education: New Evidence from Vietnam," Working Papers 200422, CERDI.
    14. D’Haultfœuille, Xavier & Hoderlein, Stefan & Sasaki, Yuya, 2023. "Nonparametric difference-in-differences in repeated cross-sections with continuous treatments," Journal of Econometrics, Elsevier, vol. 234(2), pages 664-690.
    15. Nathan E. Wilso, 2016. "Market Structure as a Determinant of Patient Care Quality," American Journal of Health Economics, MIT Press, vol. 2(2), pages 241-271, Spring.
    16. Naderi, A. & Mace, J., 2003. "Education and earnings: a multilevel analysis: A case study of the manufacturing sector in Iran," Economics of Education Review, Elsevier, vol. 22(2), pages 143-156, April.
    17. Salvador Navarro, 2011. "Using Observed Choices to Infer Agent's Information: Reconsidering the Importance of Borrowing Constraints, Uncertainty and Preferences in College Attendance," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20118, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    18. Bryan S. Graham & James Powell, 2008. "Identification and Estimation of 'Irregular' Correlated Random Coefficient Models," NBER Working Papers 14469, National Bureau of Economic Research, Inc.
    19. Štìpán Jurajda, 2005. "Czech Relative Wages and Returns to Schooling: Does the Short Supply of College Education Bite? (in English)," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 55(1-2), pages 83-95, January.
    20. Sokbae (Simon) Lee, 2004. "Endogeneity in quantile regression models: a control function approach," CeMMAP working papers 08/04, Institute for Fiscal Studies.

    More about this item

    Keywords

    correlated random coefficient model; bias; discrete choice;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:kud:kuieca:2006_10. 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: Thomas Hoffmann (email available below). General contact details of provider: https://edirc.repec.org/data/camkudk.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.