Finite sample behavior of two step estimators in selection models
AbstractThe problem of specification errors in sample selection models has received considerable attention both theoretically and empirically. However, very few is known about the finite sample behavior of two step estimators. In this paper we investigate by simulations both bias and finite sample distribution of these estimators when ignoring heteroskedasticity in the sample selection mechanism. It turns out that under conditions traditionally faced by practitioners, the misspecified parametric two step estimator (Heckman, 1979) performs better, in finite sample sizes, than the robust semiparametric one (Ahn and Powell, 1993). Moreover, under very general conditions, we show that the asymptotic bias of the parametric two step estimator is linear in the covariance between the sample selection and the participation equation.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística) in its series BILTOKI with number 1999-06.
Date of creation: Apr 1999
Date of revision:
Postal: Dpto. de Econometría y Estadística, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
Find related papers by JEL classification:
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
This paper has been announced in the following NEP Reports:
- NEP-ALL-1999-07-28 (All new papers)
- NEP-DCM-1999-09-02 (Discrete Choice Models)
- NEP-ECM-1999-07-28 (Econometrics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Marcia M Schafgans, 1997. "Semiparametric Estimation of a Sample Selection Model: A Simulation Study," STICERD - Econometrics Paper Series /1997/326, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Melenberg, B. & Van Soest, A., 1991.
"Parametric and Semi-parametric Modelling of Vocation Expenditures,"
9144, Tilburg - Center for Economic Research.
- Melenberg, Bertrand & van Soest, Arthur, 1996. "Parametric and Semi-parametric Modelling of Vacation Expenditures," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 59-76, Jan.-Feb..
- Melenberg, B. & Soest, A.H.O. van, 1996. "Parametric and semi-parametric modelling of vacation expenditures," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72214, Tilburg University.
- Melenberg, B. & Soest, A.H.O. van, 1991. "Parametric and semi-parametric modelling of vacation expenditures," Discussion Paper 1991-44, Tilburg University, Center for Economic Research.
- Arabmazar, Abbas & Schmidt, Peter, 1981. "Further evidence on the robustness of the Tobit estimator to heteroskedasticity," Journal of Econometrics, Elsevier, vol. 17(2), pages 253-258, November.
- Andrews, Donald W K & Schafgans, Marcia M A, 1998. "Semiparametric Estimation of the Intercept of a Sample Selection Model," Review of Economic Studies, Wiley Blackwell, vol. 65(3), pages 497-517, July.
- Heckman, James J, 1979.
"Sample Selection Bias as a Specification Error,"
Econometric Society, vol. 47(1), pages 153-61, January.
- Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-54, July.
- Hurd, Michael, 1979. "Estimation in truncated samples when there is heteroscedasticity," Journal of Econometrics, Elsevier, vol. 11(2-3), pages 247-258.
- Olsen, Randall J, 1980. "A Least Squares Correction for Selectivity Bias," Econometrica, Econometric Society, vol. 48(7), pages 1815-20, November.
- G.S. Maddala & Forrest D. Nelson, 1975. "Specification Errors in Limited Dependent Variable Models," NBER Working Papers 0096, National Bureau of Economic Research, Inc.
- Arabmazar, Abbas & Schmidt, Peter, 1982. "An Investigation of the Robustness of the Tobit Estimator to Non-Normality," Econometrica, Econometric Society, vol. 50(4), pages 1055-63, July.
- 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.
- Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245 Elsevier.
- Heckman, James J, 1990. "Varieties of Selection Bias," American Economic Review, American Economic Association, vol. 80(2), pages 313-18, May.
- Olivier Dagnelie & Philippe Lemay‐Boucher, 2012.
"Rosca Participation in Benin: A Commitment Issue,"
Oxford Bulletin of Economics and Statistics,
Department of Economics, University of Oxford, vol. 74(2), pages 235-252, 04.
- Olivier Dagnelie & Philippe LeMay, 2005. "Rosca Participation in Benin : a Commitment Issue," Development and Comp Systems 0511026, EconWPA.
- Olivier Dagnelie & Philippe LeMay-Boucher, 2008. "Rosca Participation in Benin: a Commitment Issue," UFAE and IAE Working Papers 735.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Olivier Dagnelie & Philippe LeMay-Boucher, 2008. "Rosca Participation in Benin: a Commitment Issue," Working Papers 339, Barcelona Graduate School of Economics.
- Olivier Dagnelie & Philippe LeMay-Boucher, 2007. "ROSCA Participation in Benin: A Commitment Issue," CERT Discussion Papers 0708, Centre for Economic Reform and Transformation, Heriot Watt University.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Alcira Macías).
If references are entirely missing, you can add them using this form.