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A Control Function Approach to Estimating Dynamic Probit Models with Endogenous Regressors

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  • Giles John

    (Development Research Group, The World Bank)

  • Murtazashvili Irina

    (Department of Economics and International Business, LeBow College of Business, Drexel University, 3141 Chestnut Street, Philadelphia, PA 19104, USA)

Abstract

This paper proposes a parametric approach to estimating a dynamic binary response panel data model that allows for endogenous contemporaneous regressors. Such a model is of particular value for settings in which one wants to estimate the effects of an endogenous treatment on a binary outcome. In order to demonstrate the usefulness of the approach, we use it to examine the impact of rural-urban migration on the likelihood that households in rural China fall below the poverty line. In this application, it is shown that migration is important for reducing the likelihood that poor households remain in poverty and that non-poor households fall into poverty. Furthermore, it is demonstrated that failure to control for unobserved heterogeneity would lead the researcher to underestimate the impact of migrant labor markets on reducing the probability of falling into poverty.

Suggested Citation

  • Giles John & Murtazashvili Irina, 2013. "A Control Function Approach to Estimating Dynamic Probit Models with Endogenous Regressors," Journal of Econometric Methods, De Gruyter, vol. 2(1), pages 69-87, July.
  • Handle: RePEc:bpj:jecome:v:2:y:2013:i:1:p:69-87:n:4
    DOI: 10.1515/jem-2012-0010
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    1. Taylor, J Edward & Rozelle, Scott & de Brauw, Alan, 2003. "Migration and Incomes in Source Communities: A New Economics of Migration Perspective from China," Economic Development and Cultural Change, University of Chicago Press, vol. 52(1), pages 75-101, October.
    2. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54, January.
    3. Martin Biewen, 2009. "Measuring state dependence in individual poverty histories when there is feedback to employment status and household composition," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(7), pages 1095-1116, November.
    4. Smith, Richard J & Blundell, Richard W, 1986. "An Exogeneity Test for a Simultaneous Equation Tobit Model with an Application to Labor Supply," Econometrica, Econometric Society, vol. 54(3), pages 679-685, May.
    5. Alan de Brauw & John Giles, 2018. "Migrant Labor Markets and the Welfare of Rural Households in the Developing World: Evidence from China," The World Bank Economic Review, World Bank, vol. 32(1), pages 1-18.
    6. Francesco Devicienti & Ambra Poggi, 2011. "Poverty and social exclusion: two sides of the same coin or dynamically interrelated processes?," Applied Economics, Taylor & Francis Journals, vol. 43(25), pages 3549-3571.
    7. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
    8. Alan de Brauw & John Giles, 2017. "Migrant Opportunity and the Educational Attainment of Youth in Rural China," Journal of Human Resources, University of Wisconsin Press, vol. 52(1), pages 272-311.
    9. Montgomery, James D, 1991. "Social Networks and Labor-Market Outcomes: Toward an Economic Analysis," American Economic Review, American Economic Association, vol. 81(5), pages 1407-1418, December.
    10. Heckman, James J & Willis, Robert J, 1977. "A Beta-logistic Model for the Analysis of Sequential Labor Force Participation by Married Women," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 27-58, February.
    11. Giles, John, 2006. "Is life more risky in the open? Household risk-coping and the opening of China's labor markets," Journal of Development Economics, Elsevier, vol. 81(1), pages 25-60, October.
    12. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    13. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    14. Wooldridge, Jeffrey M., 2000. "A framework for estimating dynamic, unobserved effects panel data models with possible feedback to future explanatory variables," Economics Letters, Elsevier, vol. 68(3), pages 245-250, September.
    15. Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
    16. John Giles & Kyeongwon Yoo, 2007. "Precautionary Behavior, Migrant Networks, and Household Consumption Decisions: An Empirical Analysis Using Household Panel Data from Rural China," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 534-551, August.
    17. Dean R. Hyslop, 1999. "State Dependence, Serial Correlation and Heterogeneity in Intertemporal Labor Force Participation of Married Women," Econometrica, Econometric Society, vol. 67(6), pages 1255-1294, November.
    18. Chen, Shaohua & Ravallion, Martin, 1996. "Data in transition: Assessing rural living standards in Southern China," China Economic Review, Elsevier, vol. 7(1), pages 23-56.
    19. 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.
    20. Bo E. Honoré & Ekaterini Kyriazidou, 2000. "Panel Data Discrete Choice Models with Lagged Dependent Variables," Econometrica, Econometric Society, vol. 68(4), pages 839-874, July.
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