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A control function approach to estimating switching regression models with endogenous explanatory variables and endogenous switching

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  • Murtazashvili, Irina
  • Wooldridge, Jeffrey M.

Abstract

We derive simple, multi-step estimation methods for a linear model with heterogeneous coefficients when there are both continuous and discrete endogenous explanatory variables. We consider both cross-sectional and panel data settings. When we extend our model to panel data, we use the Chamberlain–Mundlak device to allow heterogeneity to be correlated with time-varying explanatory variables. We apply the panel data methods we propose to estimation of a housing budget share equation where a homeownership dummy variable plays the role of the endogenous regime, and total expenditure plays the role of a continuous endogenous explanatory variable. We find that the constant coefficient model seems sufficient, and that the estimation methods we propose produce rather plausible estimates of the model parameters.

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  • Murtazashvili, Irina & Wooldridge, Jeffrey M., 2016. "A control function approach to estimating switching regression models with endogenous explanatory variables and endogenous switching," Journal of Econometrics, Elsevier, vol. 190(2), pages 252-266.
    • Handle: RePEc:eee:econom:v:190:y:2016:i:2:p:252-266
    DOI: 10.1016/j.jeconom.2015.06.014
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    1. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    2. Arrondel, Luc & Lefebvre, Bruno, 2001. "Consumption and Investment Motives in Housing Wealth Accumulation: A French Study," Journal of Urban Economics, Elsevier, vol. 50(1), pages 112-137, July.
    3. Richard W. Blundell & James L. Powell, 2004. "Endogeneity in Semiparametric Binary Response Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 655-679.
    4. Charlier, Erwin & Melenberg, Bertrand & van Soest, Arthur, 2001. "An analysis of housing expenditure using semiparametric models and panel data," Journal of Econometrics, Elsevier, vol. 101(1), pages 71-107, March.
    5. Andrews,Donald W. K. & Stock,James H. (ed.), 2005. "Identification and Inference for Econometric Models," Cambridge Books, Cambridge University Press, number 9780521844413.
    6. Vella, Francis & Verbeek, Marno, 1999. "Estimating and Interpreting Models with Endogenous Treatment Effects," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 473-478, October.
    7. 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.
    8. Goodman, Allen C., 1988. "An econometric model of housing price, permanent income, tenure choice, and housing demand," Journal of Urban Economics, Elsevier, vol. 23(3), pages 327-353, May.
    9. -, 2013. "Redistributing care: the policy challenge," Cuadernos de la CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 37055 edited by Eclac, September.
    10. François Bourguignon & Martin Fournier & Marc Gurgand, 2007. "Selection Bias Corrections Based On The Multinomial Logit Model: Monte Carlo Comparisons," Journal of Economic Surveys, Wiley Blackwell, vol. 21(1), pages 174-205, February.
    11. Wooldridge, Jeffrey M., 1995. "Selection corrections for panel data models under conditional mean independence assumptions," Journal of Econometrics, Elsevier, vol. 68(1), pages 115-132, July.
    12. Ekaterini Kyriazidou, 1997. "Estimation of a Panel Data Sample Selection Model," Econometrica, Econometric Society, vol. 65(6), pages 1335-1364, November.
    13. Emir Malikov & Diego A. Restrepo-Tobón & Subal C. Kumbhakar, 2013. "Are all U.S. credit unions alike?," Documentos de Trabajo CIEF 10940, Universidad EAFIT.
    14. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    15. Semykina, Anastasia & Wooldridge, Jeffrey M., 2010. "Estimating panel data models in the presence of endogeneity and selection," Journal of Econometrics, Elsevier, vol. 157(2), pages 375-380, August.
    16. Patrick Bajari & Phoebe Chan & Dirk Krueger & Daniel Miller, 2013. "A Dynamic Model Of Housing Demand: Estimation And Policy Implications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(2), pages 409-442, May.
    17. Lee, Lung-Fei & Trost, Robert P., 1978. "Estimation of some limited dependent variable models with application to housing demand," Journal of Econometrics, Elsevier, vol. 8(3), pages 357-382, December.
    18. Guido W. Imbens & Jeffrey M. Wooldridge, 2009. "Recent Developments in the Econometrics of Program Evaluation," Journal of Economic Literature, American Economic Association, vol. 47(1), pages 5-86, March.
    19. Megbolugbe, Isaac F & Cho, Man, 1996. "Racial and Ethnic Differences in Housing Demand: An Econometric Investigation," The Journal of Real Estate Finance and Economics, Springer, vol. 12(3), pages 295-318, May.
    20. Lee, Lung-Fei, 1978. "Unionism and Wage Rates: A Simultaneous Equations Model with Qualitative and Limited Dependent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 415-433, June.
    21. Luc Arrondel & Bruno Lefebvre, 2001. "Behavior of Household Portfolios in France: the Role of Housing," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(4), pages 489-514, December.
    22. James J. Heckman, 2001. "Micro Data, Heterogeneity, and the Evaluation of Public Policy: Nobel Lecture," Journal of Political Economy, University of Chicago Press, vol. 109(4), pages 673-748, August.
    23. Smith, Lawrence B & Rosen, Kenneth T & Fallis, George, 1988. "Recent Developments in Economic Models of Housing Markets," Journal of Economic Literature, American Economic Association, vol. 26(1), pages 29-64, March.
    24. de Leeuw, Frank, 1971. "The Demand for Housing: A Review of Cross-Section Evidence," The Review of Economics and Statistics, MIT Press, vol. 53(1), pages 1-10, February.
    25. Ioannides, Yannis M & Rosenthal, Stuart S, 1994. "Estimating the Consumption and Investment Demands for Housing and Their Effect on Housing Tenure Status," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 127-141, February.
    26. 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.
    27. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    28. Henderson, J Vernon & Ioannides, Yannis M, 1983. "A Model of Housing Tenure Choice," American Economic Review, American Economic Association, vol. 73(1), pages 98-113, March.
    29. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    30. Mayo, Stephen K., 1981. "Theory and estimation in the economics of housing demand," Journal of Urban Economics, Elsevier, vol. 10(1), pages 95-116, July.
    31. Oecd, 2013. "Who are the Academic All-rounders?," PISA in Focus 31, OECD Publishing.
    32. -, 2013. "Redistributing care: the policy challenge," Libros y Documentos Institucionales, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), number 101 edited by Eclac.
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    More about this item

    Keywords

    Random coefficient model; Average treatment effect; Control function approach;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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