On the predictive distributions of outcome gains in the presence of an unidentified parameter

Journal of Business and Economic Statistics

Volumn 21, Issue 2, 2003, Pages 258-268

  Poirier, Dale J ^a   Tobias, Justin L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bayesian; Gibbs; Potential outcomes; Treatment effects

Indexed keywords

EID: 0037386514     PISSN: 07350015     EISSN: None     Source Type: Journal    
DOI: 10.1198/073500103288618945     Document Type: Article

References (36)

1. Abadie, A., Angrist, J. D., and Imbens, G. W. (1998), "Instrumental Variables Estimation of Quantile Treatment Effects," Technical Working Paper 229, National Bureau of Economic Research.
2. Björklund, A., and Moffitt, R. (1987), "The Estimation of Wage Gains and Welfare Gains in Self-Selection Models," Review of Economics and Statistics, 69, 42-49.
3. Carter S. B., Ransom, R. L., Sutch, R., and Zhao, H. (1993), Codebook and User's Manual: A Survey of 943 Child Laborers in New Jersey, 1903, Reported in the Twenty-Sixth Annual Report of the New Jersey Bureau of Statistics of Labor and Industries, Berkeley, CA: Institute of Business and Economic Research.
4. Chib, S., and Hamilton, B. (2000), "Bayesian Analysis of Cross-Section and Clustered Data Treatment Models," Journal of Econometrics, 97, 25-50.
5. Dawid, A. P. (2000), "Causal Inference Without Counterfactuals," Journal of the American Statistical Association, 95, 407-424.
6. Dehejia, R., and Wahba, S. (1999), "Causal Effects in Non-Experimental Studies: Re-Evaluating the Evaluation of Training Programs," Journal of the American Statistical Association 94, 1053-1062.
7. Gronau, R. (1974), "Wage Comparisons - A Selectivity Bias," Journal of Political Economy, 82, 1119-1143.
8. Hahn, J. (1998), "On the Role of the Propensity Score in Efficient Semiparametric Estimation of Average Treatment Effects," Econometrica, 66, 315-331.
9. Heckman, J. (1976), "The Common Structure of Statistical Models of Truncation, Sample Selection, and Limited Dependent Variables and a Simple Estimator for Such Models," Annals of Economic and Social Measurement, 5, 475-492.
10. _ (1990), "Varieties of Selection Bias," American Economic Review Papers and Proceedings, 90, 313-318.
11. Heckman, J., and Honoré, B. (1990), "The Empirical Content of the Roy Model," Econometrica, 50, 1121-1149.
12. Heckman, J., and Robb, R. (1985), "Alternative Methods for Evaluating the Impact of Interventions," in Longitudinal Analysis of Labor Market Data, eds. J. Heckman and B. Singer, New York: Cambridge University Press.
13. Heckman, J., and Smith, J. (1998), " Evaluating the Welfare State," in Econometrics and Economic Theory in the 20th Century: The Ragnar Frisch Centennial, ed. S. Strom, Cambridge, UK: Cambridge University Press.
14. Heckman, J., Smith, J., and Clements, N. (1997), "Making the Most Out of Programme Evaluations and Social Experiments: Accounting for Heterogeneity in Programme Impacts," Review of Economic Studies, 64, 487-535.
15. Heckman, J., Tobias, J. L., and Vytlacil, E. (2002), "Simple Estimators for Treatment Parameters in a Latent Variable Framework," Review of Economics and Statistics, forthcoming.
16. Heckman, J., and Vytlacil, E. (1999), "Local Instrumental Variables and Latent Variable Models for Identifying and Bounding Treatment Effects," Proceedings of the National Academy of Sciences, 96, 4730-4734.
17. _ (2000a), "The Relationship Between Treatment Parameters Within a Latent Variable Framework," Economics Letters, January, 66, 33-39.
18. _ (2000b), "Local Instrumental Variables," in Nonlinear Statistical Inference: Essays in Honor of Takeshi Amemiya, eds. C. Hsiao, K. Morimune, and J. Powell, Cambridge, UK: Cambridge University Press.
19. Hirano, K., Imbens, G. W., and Ridder, G. (2000), "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," mimeo, University of California Los Angeles, Dept. of Economics.
20. Hirano, K., Imbens, G. W., Rubin, D., and Zhou, X. (2000), "Assessing the Effect of an Influenza Vaccine in an Encouragement Design with Covariates," Biostatistics, 1, 69-88.
21. Imbens, G., and Angrist, J. (1994), "Identification and Estimation of Local Average Treatment Effects," Econometrica, 62, 467-476.
22. Imbens, G., and Rubin, D. B. (1997), "Bayesian Inference for Causal Effects in Randomized Experiments With Noncompliance," The Annals of Statistics, 25, 305-327.
23. Koop, G., and Poirier, D. J. (1997), "Learning About the Across-Regime Correlation in Switching Regression Models," Journal of Econometrics, 78, 217-227.
24. Lee, L. F. (1982), "Some Approaches to the Correction of Selectivity Bias," Review of Economic Studies, 49, 355-372.
25. _ (1983), "Generalized Econometric Models With Selectivity," Econometrica, 51, 507-512.
26. Li, M., Poirier, D. J., and Tobias, J. L. (2002), "Do Dropouts Suffer from Dropping Out? Estimation and Prediction of Outcome Gains in Generalized Selection Models," Working paper, University of California Irvine, Dept. of Economics.
27. Manski, C. (1990), "Nonparametric Bounds on Treatment Effects," American Economic Review Papers and Proceedings, 80, 319-323.
28. McCulloch, R. E., Polson, N. G., and Rossi, P. E. (2000), "A Bayesian Analysis of the Multinomial Probit Model With Fully Identified Parameters," Journal of Econometrics, 99, 173-193.
29. Poirier, D. J. (1998), "Revising Beliefs in Non-Identified Models," Econometric Theory, 14, 483-509.
30. Poirier, D. J., and Ruud, P. A. (1981), "On the Appropriateness of Endogenous Switching," Journal of Econometrics, 16, 249-256.
31. Rousseeuw, P. J., and Molenberghs, G. (1994), "The Shape of Correlation Matricies," The American Statistician, 48, 276-279.
32. Roy, A. D. (1951), "Some Thoughts on the Distribution of Earnings," Oxford Economic Papers, 3, 135-146.
33. Rubin, D. (1978), "Bayesian Inference for Causal Effects: The Role of Randomization," The Annals of Statistics, 6, 34-58.
34. Rubin, D., and Thayer, D. T. (1978), "Relating Tests Given to Different Samples," Psychometrika, 43, 3-10.
35. Vijverberg, W. P. M. (1993), "Measuring the Unidentified Parameter of the Extended Roy Model of Selectivity," Journal of Econometrics, 57, 69-89.
36. Vytlacil, E. (2002), "Independence, Monotonicity, and Latent Variable Models: An Equivalence Result," Econometrica, 70, 331-341.