Estimating multiple treatment effects using two-phase semiparametric regression estimators

Electronic Journal of Statistics

Volumn 7, Issue 1, 2013, Pages 2737-2761

  Yu, Cindy ^a   Legg, Jason ^b   Liu, Bin ^a  

^a Iowa State University   (United States)

^b AMGEN INC   (United States)

Author keywords

Propensity score; Semiparametric; Treatment effects; Two phase regression estimator

Indexed keywords

EID: 84892404133     PISSN: 19357524     EISSN: None     Source Type: Journal    
DOI: 10.1214/13-EJS856     Document Type: Article

References (27)

1. Abadie, A. and Imbens, G. W. (2006). Large Sample Properties of Matching Estimators for Average Treatment Effects. Econometrica, 74(1), 235-267. MR2194325
2. Bang, H. and Robins, J. M. (2005). Doubly Robust Estimation in Missing Data and Causal Inference Models. Biometrics, 61, 962-972. MR2216189
3. Breidt, F. J., Claeskens, G. and Opsomer, J. D. (2005). Model-Assisted Estimation for Complex Surveys Using Penalised Splines. Biometrika, 92(4), 831-846. MR2234189
4. Cattaneo, M. D. (2010). Efficient Semiparametric Estimation of Multivalued Treatment Effects under Ignorability. Journal of Econometrics, 155(2), 138-154. MR2607191
5. Drichoutis, A. C., Nayga, R. M. and Lazaridis, P. (2009). Can Nutritional Label Use Influence Body Weight Outcomes? Kyklos, 62, 500-525.
6. Fuller, W. A. (2009). Sampling Statistics, John Wiley & Sons.
7. Giffin, R. B. and Woodcock, J. (2010). Comparative Effectiveness Research: Who Will Do The Studies. Health Affairs, 29(11), 2075-2081.
8. Glynn, A. N. and Quinn, K. M. (2010). An Introduction to the Augmented Inverse Propensity Weighted Estimator. Political Analysis, 18, 36-56.
9. Hahn, J. (1998). On the Role of the Propensity Score in Efficient Semiparametric Estimation of Average Treatment Effects. Econometrica, 66(2), 315-331. MR1612242
10. Hajek, J. (1971). Comment on An Essay on the Logical Foundations of Survey Sampling by Basu, D. in Godambe, V.P. and Sprott, D.A. eds. Foundations of Statistical Inference, Holt, Rinehart andWinston, page 236. MR0375600
11. Hirano, K., Imbens, G. and Ridder, G. (2003). Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score. Econo-metrica, 71(4), 1161-1189. MR1995826
12. Hong, G. (2010). Marginal Mean Weighting Through Stratification: Adjustment for Selection Bias in Multilevel Data. Journal of Educational and Behavioral Statistics, 35(5), 499-531.
13. Horvitz, D. G. and Thompson, D. J. (1952). A Generalization of Sampling Without Replacement From a Finite Universe. Journal of the Amer-ican Statistical Association, 47, 663-685. MR0053460
14. Iglehart, J. K. (2009). Prioritizing Comparative-Effectiveness Research-IOM Recommendations. The New England Journal of Medicine, 361, 325-328.
15. Imbens, G. W. andWooldridge, J. M. (2009). Recent Developments in the Econometrics of Program Evaluation. Journal of Economic Literature, American Economic Association, 47(1), 5-86.
16. Isaki, C. T. and Fuller, W. A. (1982). Survey Design Under the Regression Superpopulation Model. Journal of the American Statistical As-sociation, 77, 89-96. MR0648029
17. Kang, J. D. Y. and Schafer J. L. (2007). Demystifying Double Robustness: A Comparison of Alternative Strategies for Estimating a Population Mean from Incomplete Data. Statistical Science, 22(4), 523-539. MR2420458
18. Kim, J. K. and Haziza, D. (2010). Doubly Robust Inference with Missing Data in Survey Sampling. Joint Statistical Meetings, Vancouver, Canada.
19. Korn, E. and Graubard, B. (1991). Epidemiologic Studies Utilizing Surveys: Accounting for the Sampling Design. American Journal of Public Health, 81(9), 1166-1173.
20. Lorentz, G. (1986). Approximation of Functions, New York: Chelsea Publishing Company. MR0917270
21. Pfeffermann, D. and Sverchkov, M. (1999). Parametric and Semi-Parametric Estimation of Regression Models Fitted to Survey Data. Sankhya: The Indian Journal of Statistics, Series B, 61(1), 166-186. MR1720710
22. Särndal, C. E., Swensson, B. andWretman, J. (1992). Model Assisted Survey Sampling, Springer. MR1140409
23. Sekhon, J. S. (2011). Multivariate and Propensity Score Matching Software with Automated Balance Optimization: The Matching package for R. Journal of Statistical Software, 42(7), 1-52.
24. Sorenson, C. (2010). Use of Comparative Effectiveness Research in Drug Coverage and Pricing Decisions: A Six-Country Comparison. The Com-monwealth Fund, 91, 1-14.
25. Tan, Z. (2006). Regression and Weighting Methods for Causal Inference Using Instrumental Variables. Journal of the American Statistical Associ-ation, 101, 1607-1618. MR2279483
26. Tan, Z. (2010). Bounded, Efficient and Doubly Robust Estimation with Inverse Weighting. Biometrika, 94(2), 1-22. MR2672490
27. Wang, W., Scharfstein, D., Tan, Z. and MacKenzie, E. J. (2009). Causal Inference in Outcome-dependent Two-phase Sampling Designs. Journal of Royal Statistical Society Series B, 71, 947-969. MR2750252