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Testing the hypothesis of absence of unobserved confounding in semiparametric bivariate probit models

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  • Giampiero Marra
  • Rosalba Radice
  • Silvia Missiroli

Abstract

Lagrange multiplier and Wald tests for the hypothesis of absence of unobserved confounding are extended to the context of semiparametric recursive and sample selection bivariate probit models. The finite sample size properties of the tests are examined through a Monte Carlo study using several scenarios: correct model specification, distributional and functional misspecification, with and without an exclusion restriction. The simulation results provide some guidelines which may be important for empirical analysis. The tests are illustrated using two datasets in which the issue of unobserved confounding arises. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Giampiero Marra & Rosalba Radice & Silvia Missiroli, 2014. "Testing the hypothesis of absence of unobserved confounding in semiparametric bivariate probit models," Computational Statistics, Springer, vol. 29(3), pages 715-741, June.
  • Handle: RePEc:spr:compst:v:29:y:2014:i:3:p:715-741
    DOI: 10.1007/s00180-013-0458-x
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    1. Montmarquette, Claude & Mahseredjian, Sophie & Houle, Rachel, 2001. "The determinants of university dropouts: a bivariate probability model with sample selection," Economics of Education Review, Elsevier, vol. 20(5), pages 475-484, October.
    2. Chiara Monfardini & Rosalba Radice, 2008. "Testing Exogeneity in the Bivariate Probit Model: A Monte Carlo Study," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(2), pages 271-282, April.
    3. Cygan-Rehm, Kamila & Maeder, Miriam, 2013. "The effect of education on fertility: Evidence from a compulsory schooling reform," Labour Economics, Elsevier, vol. 25(C), pages 35-48.
    4. Cavanaugh, Joseph E. & Shumway, Robert H., 1996. "On computing the expected Fisher information matrix for state-space model parameters," Statistics & Probability Letters, Elsevier, vol. 26(4), pages 347-355, March.
    5. Heckman, James J, 1978. "Dummy Endogenous Variables in a Simultaneous Equation System," Econometrica, Econometric Society, vol. 46(4), pages 931-959, July.
    6. Fabian Sobotka & Rosalba Radice & Giampiero Marra & Thomas Kneib, 2013. "Estimating the relationship between women's education and fertility in Botswana by using an instrumental variable approach to semiparametric expectile regression," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 62(1), pages 25-45, January.
    7. Zimmer, David M. & Trivedi, Pravin K., 2006. "Using Trivariate Copulas to Model Sample Selection and Treatment Effects: Application to Family Health Care Demand," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 63-76, January.
    8. Massimiliano Bratti & Alfonso Miranda, 2011. "Endogenous treatment effects for count data models with endogenous participation or sample selection," Health Economics, John Wiley & Sons, Ltd., vol. 20(9), pages 1090-1109, September.
    9. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    10. Giampiero Marra & Simon N. Wood, 2012. "Coverage Properties of Confidence Intervals for Generalized Additive Model Components," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(1), pages 53-74, March.
    11. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    12. Ehsan Latif, 2009. "The impact of diabetes on employment in Canada," Health Economics, John Wiley & Sons, Ltd., vol. 18(5), pages 577-589, May.
    13. Rainer Winkelmann, 2012. "Copula Bivariate Probit Models: With An Application To Medical Expenditures," Health Economics, John Wiley & Sons, Ltd., vol. 21(12), pages 1444-1455, December.
    14. Murray D. Smith, 2003. "Modelling sample selection using Archimedean copulas," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 99-123, June.
    15. Banasik, John & Crook, Jonathan, 2007. "Reject inference, augmentation, and sample selection," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1582-1594, December.
    16. Goldman D. P. & Bhattacharya J. & McCaffrey D. F. & Duan N. & Leibowitz A. A. & Joyce G. F. & Morton S. C., 2001. "Effect of Insurance on Mortality in an HIV-Positive Population in Care," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 883-894, September.
    17. Van de Ven, Wynand P. M. M. & Van Praag, Bernard M. S., 1981. "The demand for deductibles in private health insurance : A probit model with sample selection," Journal of Econometrics, Elsevier, vol. 17(2), pages 229-252, November.
    18. Wilde, Joachim, 2000. "Identification of multiple equation probit models with endogenous dummy regressors," Economics Letters, Elsevier, vol. 69(3), pages 309-312, December.
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