Treatment effects in sample selection models and their nonparametric estimation
In a sample-selection model with the ‘selection’ variable Q and the ‘outcome’ variable Y∗, Y∗ is observed only when Q=1. For a treatment D affecting both Q and Y∗, three effects are of interest: ‘participation’ (i.e., the selection) effect of D on Q, ‘visible performance’ (i.e., the observed outcome) effect of D on Y≡QY∗, and ‘invisible performance’ (i.e., the latent outcome) effect of D on Y∗. This paper shows the conditions under which the three effects are identified, respectively, by the three corresponding mean differences of Q, Y, and Y|Q=1 (i.e., Y∗|Q=1) across the control (D=0) and treatment (D=1) groups. Our nonparametric estimators for those effects adopt a two-sample framework and have several advantages over the usual matching methods. First, there is no need to select the number of matched observations. Second, the asymptotic distribution is easily obtained. Third, over-sampling the control/treatment group is allowed. Fourth, there is a built-in mechanism that takes into account the ‘non-overlapping support problem’, which the usual matching deals with by choosing a ‘caliper’. Fifth, a sensitivity analysis to gauge the presence of unobserved confounders is available. A simulation study is conducted to compare the proposed methods with matching methods, and a real data illustration is provided.
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- Alberto Abadie & Joshua Angrist & Guido Imbens, 2002.
"Instrumental Variables Estimates of the Effect of Subsidized Training on the Quantiles of Trainee Earnings,"
Econometric Society, vol. 70(1), pages 91-117, January.
- Alberto Abadie & Joshua Angrist & Guido Imbens, 1999. "Instrumental Variables Estimates of the Effect of Subsidized Training on the Quantiles of Trainee Earnings," Working papers 99-16, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Myoung Lee & Sang Lee, 2009. "Sensitivity analysis of job-training effects on reemployment for Korean women," Empirical Economics, Springer, vol. 36(1), pages 81-107, February.
- Myoung-jae Lee & Sang-jun Lee, 2007. "Sensitivity Analysis Of Job-Training Effects On Reemployment For Korean Women," Discussion Paper Series 0720, Institute of Economic Research, Korea University.
- Lee, Myoung-jae, 2005. "Micro-Econometrics for Policy, Program and Treatment Effects," OUP Catalogue, Oxford University Press, number 9780199267699, April.
- Fair, Ray C, 1978. "A Theory of Extramarital Affairs," Journal of Political Economy, University of Chicago Press, vol. 86(1), pages 45-61, February.
- Ray C. Fair, 1976. "A Theory of Extramarital Affairs," Cowles Foundation Discussion Papers 436, Cowles Foundation for Research in Economics, Yale University.
- Madden, David, 2008. "Sample selection versus two-part models revisited: The case of female smoking and drinking," Journal of Health Economics, Elsevier, vol. 27(2), pages 300-307, March.
- David Madden, 2006. "Sample Selection Versus Two-Part Models Revisited: the Case of Female Smoking and Drinking," Health, Econometrics and Data Group (HEDG) Working Papers 06/12, HEDG, c/o Department of Economics, University of York.
- Madden, David, 2006. "Sample Selection Versus Two-Part Models Revisited: The Case of Female Smoking and Drinking," Papers HRBWP23, Economic and Social Research Institute (ESRI).
- David (David Patrick) Madden, 2006. "Sample selection versus two-part models revisited : the case of female smoking and drinking," Working Papers 200604, School of Economics, University College Dublin.
- Racine, Jeff & Li, Qi, 2004. "Nonparametric estimation of regression functions with both categorical and continuous data," Journal of Econometrics, Elsevier, vol. 119(1), pages 99-130, March.
- McDonald, John F & Moffitt, Robert A, 1980. "The Uses of Tobit Analysis," The Review of Economics and Statistics, MIT Press, vol. 62(2), pages 318-321, May.
- Leung, Siu Fai & Yu, Shihti, 1996. "On the choice between sample selection and two-part models," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 197-229.
- Leung, S.F. & Yu, S., 1992. "On the Choice Between Sample Selection and Two-Part Models," RCER Working Papers 337, University of Rochester - Center for Economic Research (RCER).
- Curt Wells, 2003. "Retesting Fair's (1978) model on infidelity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(2), pages 237-239.
- Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, number 8355, March.
- 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.
- Joshua D. Angrist & Guido W. Imbens, 1995. "Identification and Estimation of Local Average Treatment Effects," NBER Technical Working Papers 0118, National Bureau of Economic Research, Inc.
- Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053.
- Myoung-Jae Lee, 2004. "Selection correction and sensitivity analysis for ordered treatment effect on count response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(3), pages 323-337.
- Myoung-jae Lee, 2000. "Median treatment effect in randomized trials," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(3), pages 595-604.
- QI Li & Jeff Racine, 2004. "Predictor relevance and extramarital affairs," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(4), pages 533-535.
- Alberto Abadie & Guido W. Imbens, 2006. "Large Sample Properties of Matching Estimators for Average Treatment Effects," Econometrica, Econometric Society, vol. 74(1), pages 235-267, 01. Full references (including those not matched with items on IDEAS)
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