IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v78y2008i2p250-256.html
   My bibliography  Save this article

A Monte Carlo comparison of estimators for a bivariate probit model with selection

Author

Listed:
  • Belkar, R.
  • Fiebig, D.G.

Abstract

A Monte Carlo experiment is undertaken to examine the small sample properties of three alternative estimators of a bivariate probit model with selection. The three estimators are the censored probit estimator, single-equation probit applied to the selected sub-sample and single-equation probit applied to the full sample. These estimators are compared in terms of properties of coefficient estimates and predicted probabilities. While no estimator dominates in all possible situations a clear recommendation follows from an overall evaluation of the relative performance of the three estimators. Ignoring the selection problem through use of a single-equation probit can often lead to very poor estimator and predictor performance. Both single-equation probit estimators have properties that can vary dramatically over the different design points. The properties of censored probit vary much less than the two single-equation estimators and this robustness characteristic tends to favour its use.

Suggested Citation

  • Belkar, R. & Fiebig, D.G., 2008. "A Monte Carlo comparison of estimators for a bivariate probit model with selection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(2), pages 250-256.
    • Handle: RePEc:eee:matcom:v:78:y:2008:i:2:p:250-256
    DOI: 10.1016/j.matcom.2008.01.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475408000359
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2008.01.016?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Meng, Chun-Lo & Schmidt, Peter, 1985. "On the Cost of Partial Observability in the Bivariate Probit Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 71-85, February.
    2. Nelson, Forrest D., 1984. "Efficiency of the two-step estimator for models with endogenous sample selection," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 181-196.
    3. Rochelle Belkar & Denzil G. Fiebig & Marion Haas & Rosalie Viney, 2006. "Why worry about awareness in choice problems? Econometric analysis of screening for cervical cancer," Health Economics, John Wiley & Sons, Ltd., vol. 15(1), pages 33-47, January.
    4. C. Piga & M. Vivarelli, 2003. "Sample selection in estimating the determinants of cooperative R&D," Applied Economics Letters, Taylor & Francis Journals, vol. 10(4), pages 243-246.
    5. Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
    6. Zuehlke, Thomas W & Zeman, Allen R, 1991. "A Comparison of Two-Stage Estimators of Censored Regression Models," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 185-188, February.
    7. Francis Vella, 1998. "Estimating Models with Sample Selection Bias: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 127-169.
    8. Sartori, Anne E., 2003. "An Estimator for Some Binary-Outcome Selection Models Without Exclusion Restrictions," Political Analysis, Cambridge University Press, vol. 11(2), pages 111-138, April.
    9. Poirier, Dale J., 1980. "Partial observability in bivariate probit models," Journal of Econometrics, Elsevier, vol. 12(2), pages 209-217, February.
    10. Kazumitsu Nawata & Michael McAleer, 2001. "Size Characteristics Of Tests For Sample Selection Bias: A Monte Carlo Comparison And Empirical Example," Econometric Reviews, Taylor & Francis Journals, vol. 20(1), pages 105-112.
    11. Butler, J S, 1996. "Estimating the Correlation in Censored Probit Models," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 356-358, May.
    12. Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September.
    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. Rochelle Belkar & Denzil G. Fiebig & Marion Haas & Rosalie Viney, 2006. "Why worry about awareness in choice problems? Econometric analysis of screening for cervical cancer," Health Economics, John Wiley & Sons, Ltd., vol. 15(1), pages 33-47, January.
    2. Mikhail Zhelonkin & Marc G. Genton & Elvezio Ronchetti, 2016. "Robust inference in sample selection models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 78(4), pages 805-827, September.
    3. Takashi Yamagata & Chris Orme, 2005. "On Testing Sample Selection Bias Under the Multicollinearity Problem," Econometric Reviews, Taylor & Francis Journals, vol. 24(4), pages 467-481.
    4. Kossova, Elena & Potanin, Bogdan, 2018. "Heckman method and switching regression model multivariate generalization," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 50, pages 114-143.
    5. Maksym, Obrizan, 2010. "A Bayesian Model of Sample Selection with a Discrete Outcome Variable," MPRA Paper 28577, University Library of Munich, Germany.
    6. Farida Akhtar, 2017. "Conditional returns to shareholders of bidding firms: an Australian study," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 57, pages 3-43, April.
    7. S. Trevis Certo & John R. Busenbark & Hyun‐soo Woo & Matthew Semadeni, 2016. "Sample selection bias and Heckman models in strategic management research," Strategic Management Journal, Wiley Blackwell, vol. 37(13), pages 2639-2657, December.
    8. William Greene & Mark N. Harris & Preety Srivastava & Xueyan Zhao, 2018. "Misreporting and econometric modelling of zeros in survey data on social bads: An application to cannabis consumption," Health Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 372-389, February.
    9. Arrieta, Alejandro, 2007. "A Structural Misclassifcation Model to Estimate the Impact of Physician Incentives on Healthcare Utilization," MPRA Paper 6718, University Library of Munich, Germany.
    10. Campbell, Randall C. & Nagel, Gregory L., 2016. "Private information and limitations of Heckman's estimator in banking and corporate finance research," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 186-195.
    11. Nguimkeu, Pierre & Denteh, Augustine & Tchernis, Rusty, 2019. "On the estimation of treatment effects with endogenous misreporting," Journal of Econometrics, Elsevier, vol. 208(2), pages 487-506.
    12. Myck, Michal & Nici?ska, Anna & Morawski, Leszek, 2009. "Count Your Hours: Returns to Education in Poland," IZA Discussion Papers 4332, Institute of Labor Economics (IZA).
    13. Eric Chiang & Djeto Assane, 2007. "Determinants of music copyright violations on the university campus," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 31(3), pages 187-204, September.
    14. Kajal Lahiri & Chuanming Gao & Bernard Wixon, 2020. "Value of Sample Separation Information in a Sequential Probit Model," Arthaniti: Journal of Economic Theory and Practice, , vol. 19(2), pages 151-176, December.
    15. Guilhem Bascle, 2008. "Controlling for endogeneity with instrumental variables in strategic management research," Post-Print hal-00576795, HAL.
    16. Lopez-Feldman, Alejandro, 2005. "Panel Data Evidence on the Determinants of Non-Timber Forest Products Extraction: The Case of Xate in Mexico," 2005 Annual meeting, July 24-27, Providence, RI 19410, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    17. Ananish Chaudhuri & Pushkar Maitra, 1997. "Determinants of Land Tenure Contracts; Theory and Evidence from Rural India," Departmental Working Papers 199710, Rutgers University, Department of Economics.
    18. Tennekoon, Vidhura S., 2016. "The equivalence of three latent class models and ML estimators," Economics Letters, Elsevier, vol. 141(C), pages 147-150.
    19. Kensuke Kubo, 2011. "Explaining vertical integration in the generic pharmaceutical industry," Discussion Papers 11-02, Indian Statistical Institute, Delhi.
    20. Gerald P. Dwyer & Rik Hafer, 2001. "Bank failures in banking panics: Risky banks or road kill?," FRB Atlanta Working Paper 2001-13, Federal Reserve Bank of Atlanta.

    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:eee:matcom:v:78:y:2008:i:2:p:250-256. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.