Empirical likelihood calibration estimation for the median treatment difference in observational studies

Computational Statistics and Data Analysis

Volumn 55, Issue 4, 2011, Pages 1596-1609

  Wang, Qihua ^a,b   Lai, Peng ^a,b  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b YUNNAN UNIVERSITY   (China)

Author keywords

Calibration; Casual inference; Empirical likelihood; Median treatment effect; Missing data; Selection bias

Indexed keywords

CASUAL INFERENCE; EMPIRICAL LIKELIHOOD; MISSING DATA; SELECTION BIAS; TREATMENT EFFECTS;

CALIBRATION; ESTIMATION; NORMAL DISTRIBUTION;

PROBABILITY;

EID: 78650840008     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.09.012     Document Type: Article

References (24)

1. A. Abadie, D. Drukker, J.L. Herr, and G.W. Imbens Implementing matching estimators for average treatment effects in Stata Stata J. 4 2004 290 311
2. H. Chen, and J. Chen Bahadur representations of the empirical likelihood quantile processes J. Nonparametr. Stat. 12 2000 645 660
3. X. Chen, H. Hong, and E. Tamer Measurement error models with auxilary data Rev. Econom. Stud. 72 2005 343 366
4. R.H. Dehejia, and S. Wahba Causal effects in nonexperimental studies: reevaluating the evaluation of training programs J. Amer. Statist. Assoc. 94 1999 1053 1062
5. S. Firpo Efficient semiparametric estimation of quantile treatment effects Econometrica 75 2007 259 276
6. J.Y. Hahn On the role of the propensity score in efficient semiparametric estimation of average treatment effects Econometrica 66 1998 315 331
7. D.G. Horvitz, and D.J. Thompson A generalization of sampling without replacement from a finite universe J. Amer. Statist. Assoc. 47 1952 663 685
8. C.Y. Huang, J. Qin, and D. Follmann Empirical likelihood-based estimation of treatment effect in a pretest-posttest study J. Amer. Statist. Assoc. 103 2008 1270 1280
9. G. Imben Nonparametric estimation of average treatment effects under exogeneity: a review Rev. Econ. Stat. 86 2004 4 30
10. A.Y.C. Kuk, and T.K. Mak Median estimation in the presence of auxiliary information J. R. Stat. Soc. Ser. B 51 1989 261 269
11. R.J. Lalonde Evaluating the econometric evaluations of training programs with experimental data Amer. Econ. Rev. 76 1986 604 620
12. H. Liang, S.J. Wang, and R.J. Carroll Partially linear models with missing response variables and error-prone covariates Biometrika 94 2007 185 198
13. R.J.A. Little, and D.B. Rubin Statistical Analysis with Missing Data 2002 Wiley New York
14. A.B. Owen Empirical Likelihood 2001 Chapman & Hall/CRC Noca Raton
15. J. Qin, and J.F. Lawless Empirical likelihood and general estimating equations Ann. Statist. 22 1994 300 325
16. J. Qin, J. Shao, and B. Zhang Efficient and doubly robust imputation for covariate-dependent missing responses J. Amer. Statist. Assoc. 103 2008 797 810
17. J. Qin, and B. Zhang Empirical-likelihood-based inference in missing response problems and its application in observational studies J. R. Stat. Soc. Ser. B 69 2007 101 122
18. Y. Qin, and S. Zhang Empirical likelihood confidence intervals for differences between two data sets with missing data Pattern Recognit. Lett. 29 2008 803 812
19. P.R. Rosenbaum, and D.B. Rubin The central role of the propensity score in observational studies for causal effects Biometrika 70 1983 41 55
20. W. Stute, L.G. Xue, and L.X. Zhu Empirical likelihood inference in nonlinear errors-in-covariables models with validation data J. Amer. Statist. Assoc. 102 2007 332 346
21. D. Wang, and S.X. Chen Empirical likelihood for estimating equations with missing values Ann. Statist. 37 2009 490 517
22. Q.H. Wang, and J.N.K. Rao Empirical likelihood-based inference in linear errors-in-covariables models with validation data Biometrika 89 2002 345 358
23. Q.H. Wang, and J.N.K. Rao Empirical likelihood-based inference under imputation for missing response data Ann. Statist. 30 2002 896 924
24. C. Wu Optimal calibration estimators in survey sampling Biometrika 90 2003 937 951