IDEAS home Printed from https://ideas.repec.org/p/tse/wpaper/32153.html
   My bibliography  Save this paper

Endogenous Variables in Binary Choice Models: Some Insights for Practitioners

Author

Listed:
  • Bontemps, Christophe
  • Nauges, Céline

Abstract

The main purpose of this article is to offer practical insights to econometricians wanting to estimate binary choice models featuring a continuous endogenous regressor. We use simulated data to investigate the performance of Lewbel’s special regressor method, an estimator that is relatively easy to implement and that relies on different identification conditions than more common control function and Maximum Likelihood estimators. Our findings confirm that the large support condition is crucial for the special regressor method to perform well and that one should be very cautious when implementing heteroscedasticity corrections and trimming since these could severely bias the final estimates.

Suggested Citation

  • Bontemps, Christophe & Nauges, Céline, 2017. "Endogenous Variables in Binary Choice Models: Some Insights for Practitioners," TSE Working Papers 17-855, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:32153
    as

    Download full text from publisher

    File URL: https://www.tse-fr.eu/sites/default/files/TSE/documents/doc/wp/2017/wp_tse_855.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(3), pages 809-829, August.
    2. Thierry Magnac & Eric Maurin, 2008. "Partial Identification in Monotone Binary Models: Discrete Regressors and Interval Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 835-864.
    3. Christopher Baum & Yingying Dong & Arthur Lewbel & Tao Yang, 2012. "Binary choice models with endogenous regressors," SAN12 Stata Conference 9, Stata Users Group.
    4. Maurin, Eric, 2002. "The impact of parental income on early schooling transitions: A re-examination using data over three generations," Journal of Public Economics, Elsevier, vol. 85(3), pages 301-332, September.
    5. Yingying Dong & Arthur Lewbel, 2015. "A Simple Estimator for Binary Choice Models with Endogenous Regressors," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 82-105, February.
    6. Thierry Magnac & Eric Maurin, 2003. "Identification et Information in Monotone Binary Models," Working Papers 2003-07, Center for Research in Economics and Statistics.
    7. Christophe Bontemps & Céline Nauges, 2016. "The Impact of Perceptions in Averting-decision Models: An Application of the Special Regressor Method to Drinking Water Choices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 98(1), pages 297-313.
    8. Rothe, Christoph, 2009. "Semiparametric estimation of binary response models with endogenous regressors," Journal of Econometrics, Elsevier, vol. 153(1), pages 51-64, November.
    9. Goux, Dominique & Maurin, Eric, 2005. "The effect of overcrowded housing on children's performance at school," Journal of Public Economics, Elsevier, vol. 89(5-6), pages 797-819, June.
    10. Magnac, Thierry & Maurin, Eric, 2007. "Identification and information in monotone binary models," Journal of Econometrics, Elsevier, vol. 139(1), pages 76-104, July.
    11. Shakeeb Khan & Elie Tamer, 2010. "Irregular Identification, Support Conditions, and Inverse Weight Estimation," Econometrica, Econometric Society, vol. 78(6), pages 2021-2042, November.
    12. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    13. Thierry Kalisa & Mary Riddel & W. Douglass Shaw, 2016. "Willingness to pay to avoid arsenic-related risks: a special regressor approach," Journal of Environmental Economics and Policy, Taylor & Francis Journals, vol. 5(2), pages 143-162, July.
    14. Belén Zapata Diomedi & Céline Nauges, 2016. "Pesticide-handling practices: the case of coffee growers in Papua New Guinea," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 60(1), pages 112-129, January.
    15. Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
    16. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Viewpoint: Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics, Canadian Economics Association, vol. 45(3), pages 809-829, August.
    17. Andrew Chesher, 2010. "Instrumental Variable Models for Discrete Outcomes," Econometrica, Econometric Society, vol. 78(2), pages 575-601, March.
    18. Lewbel, Arthur & Schennach, Susanne M., 2007. "A simple ordered data estimator for inverse density weighted expectations," Journal of Econometrics, Elsevier, vol. 136(1), pages 189-211, January.
    19. Riddel, Mary, 2011. "Uncertainty and measurement error in welfare models for risk changes," Journal of Environmental Economics and Management, Elsevier, vol. 61(3), pages 341-354, May.
    20. Richard W. Blundell & Richard J. Smith, 1989. "Estimation in a Class of Simultaneous Equation Limited Dependent Variable Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 37-57.
    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. Manuel Denzer, 2019. "Estimating Causal Effects in Binary Response Models with Binary Endogenous Explanatory Variables - A Comparison of Possible Estimators," Working Papers 1916, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.

    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. Yingying Dong & Arthur Lewbel, 2015. "A Simple Estimator for Binary Choice Models with Endogenous Regressors," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 82-105, February.
    2. Arthur Lewbel, 2012. "An Overview of the Special Regressor Method," Boston College Working Papers in Economics 810, Boston College Department of Economics.
    3. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Viewpoint: Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics, Canadian Economics Association, vol. 45(3), pages 809-829, August.
    4. Arthur Lewbel & Yingying Dong & Thomas Tao Yang, 2012. "Comparing features of convenient estimators for binary choice models with endogenous regressors," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(3), pages 809-829, August.
    5. Yao, Becatien H. & Shanoyan, Aleksan & Schwab, Benjamin & Amanor-Boadu, Vincent, 2022. "Mobile money, transaction costs, and market participation: evidence from Côte d’Ivoire and Tanzania," Food Policy, Elsevier, vol. 112(C).
    6. Manuel Denzer, 2019. "Estimating Causal Effects in Binary Response Models with Binary Endogenous Explanatory Variables - A Comparison of Possible Estimators," Working Papers 1916, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    7. Carlson, Alyssa, 2023. "Relaxing conditional independence in an endogenous binary response model," Journal of Econometrics, Elsevier, vol. 232(2), pages 490-500.
    8. Diarra, Lacina & Dessy, Sylvain, 2018. "Land Tenure Security and Non-Agricultural Sector Employment: Household-level Evidence from Uganda," 2018 Annual Meeting, August 5-7, Washington, D.C. 274240, Agricultural and Applied Economics Association.
    9. Stefano Iandolo & Anna Ferragina, 2021. "International activities and innovation: Evidence from Italy with a special regressor approach," The World Economy, Wiley Blackwell, vol. 44(11), pages 3300-3325, November.
    10. Marianna Succurro & Giuseppina Damiana Costanzo, 2019. "Ownership structure and firm patenting activity in Italy," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 9(2), pages 239-266, June.
    11. Arthur Lewbel & Thomas Tao Yang, 2013. "Identifying the Average Treatment Effect in a Two Threshold Model," Boston College Working Papers in Economics 825, Boston College Department of Economics.
    12. Lewbel, Arthur & Yang, Thomas Tao, 2016. "Identifying the average treatment effect in ordered treatment models without unconfoundedness," Journal of Econometrics, Elsevier, vol. 195(1), pages 1-22.
    13. Arthur Lewbel, 2019. "The Identification Zoo: Meanings of Identification in Econometrics," Journal of Economic Literature, American Economic Association, vol. 57(4), pages 835-903, December.
    14. Thierry Kalisa & Mary Riddel & W. Douglass Shaw, 2016. "Willingness to pay to avoid arsenic-related risks: a special regressor approach," Journal of Environmental Economics and Policy, Taylor & Francis Journals, vol. 5(2), pages 143-162, July.
    15. Nicolas Moreau, 2018. "A SAS macro to perform Dong and Lewbel's "Simple Estimator for Binary Choice Models" (2015)," Working Papers hal-01691487, HAL.
    16. Li, Chuhui & Poskitt, D.S. & Zhao, Xueyan, 2019. "The bivariate probit model, maximum likelihood estimation, pseudo true parameters and partial identification," Journal of Econometrics, Elsevier, vol. 209(1), pages 94-113.
    17. Changhui Kang & Myoung-jae Lee, 2014. "Estimation of Binary Response Models With Endogenous Regressors," Pacific Economic Review, Wiley Blackwell, vol. 19(4), pages 502-530, October.
    18. Jiaying Gu & Thomas M. Russell, 2021. "Partial Identification in Nonseparable Binary Response Models with Endogenous Regressors," Papers 2101.01254, arXiv.org, revised Jul 2022.
    19. Xue, Sen & Yang, Thomas Tao & Zhou, Qiankun, 2018. "Binary choice model with interactive effects," Economic Modelling, Elsevier, vol. 70(C), pages 338-350.
    20. Augusto Mendoza Calderón, 2017. "El Efecto del Empleo sobre la Violencia Doméstica: Evidencia para las Mujeres Peruanas," Working Papers 99, Peruvian Economic Association.

    More about this item

    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:tse:wpaper:32153. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/tsetofr.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.