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Time-varying individual effects in a panel data probit model with an application to female labor force participation

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  • Xin, Kai
  • Zhang, ZhengYu
  • Zhou, YaHong
  • Zhu, PingFang

Abstract

In this article, we study a panel data probit model with time-varying individual effects. Under a Gaussian assumption on the error term, we show the common slope coefficients and time factors can be identified up to scale. We propose for the identified parameters a multi-stage estimation procedure. The proposed estimators have a closed form expression, thus are very convenient to compute even in large samples. We establish the root-n consistency as well as asymptotically normality for these estimators. Using a German socioeconomic panel dataset, we estimate the labor supply function for married women. We find that the unobserved skill premium is positive and shows an upward trend during 2008–2012, in support of the biased technological progress hypothesis.

Suggested Citation

  • Xin, Kai & Zhang, ZhengYu & Zhou, YaHong & Zhu, PingFang, 2021. "Time-varying individual effects in a panel data probit model with an application to female labor force participation," Economic Modelling, Elsevier, vol. 95(C), pages 181-191.
  • Handle: RePEc:eee:ecmode:v:95:y:2021:i:c:p:181-191
    DOI: 10.1016/j.econmod.2020.12.014
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    References listed on IDEAS

    as
    1. Zvi Eckstein & Osnat Lifshitz, 2011. "Dynamic Female Labor Supply," Econometrica, Econometric Society, vol. 79(6), pages 1675-1726, November.
    2. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    3. Richard W. Blundell & James L. Powell, 2004. "Endogeneity in Semiparametric Binary Response Models," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 655-679.
    4. Bo E. Honore & Arthur Lewbel, 2002. "Semiparametric Binary Choice Panel Data Models Without Strictly Exogeneous Regressors," Econometrica, Econometric Society, vol. 70(5), pages 2053-2063, September.
    5. Manski, Charles F, 1987. "Semiparametric Analysis of Random Effects Linear Models from Binary Panel Data," Econometrica, Econometric Society, vol. 55(2), pages 357-362, March.
    6. 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.
    7. Carro, Jesus M., 2007. "Estimating dynamic panel data discrete choice models with fixed effects," Journal of Econometrics, Elsevier, vol. 140(2), pages 503-528, October.
    8. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588.
    9. Holtz-Eakin, Douglas & Newey, Whitney & Rosen, Harvey S, 1988. "Estimating Vector Autoregressions with Panel Data," Econometrica, Econometric Society, vol. 56(6), pages 1371-1395, November.
    10. 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.
    11. Nijman, Theo & Verbeek, Marno, 1992. "Nonresponse in Panel Data: The Impact on Estimates of a Life Cycle Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(3), pages 243-257, July-Sept.
    12. Bai, Jushan & Ng, Serena, 2008. "Forecasting economic time series using targeted predictors," Journal of Econometrics, Elsevier, vol. 146(2), pages 304-317, October.
    13. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
    14. Carrasco, Raquel, 2001. "Binary Choice with Binary Endogenous Regressors in Panel Data: Estimating the Effect of Fertility on Female Labor Participation," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 385-394, October.
    15. Xue, Sen & Yang, Thomas Tao & Zhou, Qiankun, 2018. "Binary choice model with interactive effects," Economic Modelling, Elsevier, vol. 70(C), pages 338-350.
    16. Newey, Whitney K, 1994. "The Asymptotic Variance of Semiparametric Estimators," Econometrica, Econometric Society, vol. 62(6), pages 1349-1382, November.
    17. Daron Acemoglu, 1998. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," The Quarterly Journal of Economics, Oxford University Press, vol. 113(4), pages 1055-1089.
    18. E. Charlier & B. Melenberg & A. H. O. van Soest, 1995. "A smoothed maximum score estimator for the binary choice panel data model with an application to labour force participation," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 49(3), pages 324-342, November.
    19. Angrist, Joshua D & Evans, William N, 1998. "Children and Their Parents' Labor Supply: Evidence from Exogenous Variation in Family Size," American Economic Review, American Economic Association, vol. 88(3), pages 450-477, June.
    20. Gerfin, Michael, 1996. "Parametric and Semi-parametric Estimation of the Binary Response Model of Labor Market Participation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 321-339, May-June.
    21. Ahn, Hyungtaik & Powell, James L., 1993. "Semiparametric estimation of censored selection models with a nonparametric selection mechanism," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 3-29, July.
    22. Ai, Chunrong & Gan, Li, 2010. "An alternative root-n consistent estimator for panel data binary choice models," Journal of Econometrics, Elsevier, vol. 157(1), pages 93-100, July.
    23. Weiss, Andrew A., 1993. "Some aspects of measurement error in a censored regression model," Journal of Econometrics, Elsevier, vol. 56(1-2), pages 169-188, March.
    24. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 225-238.
    25. Zabel, Jeffrey E., 1992. "Estimating fixed and random effects models with selectivity," Economics Letters, Elsevier, vol. 40(3), pages 269-272, November.
    26. Daron Acemoglu, 2003. "Patterns of Skill Premia," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 199-230.
    27. Chen, Songnian & Khan, Shakeeb, 2008. "Semiparametric Estimation Of Nonstationary Censored Panel Data Models With Time Varying Factor Loads," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1149-1173, October.
    28. Kenneth Y. Chay & Bo E. Honoré, 1998. "Estimation of Semiparametric Censored Regression Models: An Application to Changes in Black-White Earnings Inequality during the 1960s," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 4-38.
    29. Andres Aradillas-Lopez & Bo E. Honoré & James L. Powell, 2007. "Pairwise Difference Estimation With Nonparametric Control Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(4), pages 1119-1158, November.
    30. Sherman, Robert P., 1994. "U-Processes in the Analysis of a Generalized Semiparametric Regression Estimator," Econometric Theory, Cambridge University Press, vol. 10(2), pages 372-395, June.
    31. Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, July.
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    1. Okamura, Kazuaki & Islam, Nizamul, 2021. "Multinomial employment dynamics with state dependence and heterogeneity: Evidence from Japan," Economic Modelling, Elsevier, vol. 101(C).

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