Sensitivity analysis and bounding of causal effects with alternative identifying assumptions

Journal of Educational and Behavioral Statistics

Volumn 36, Issue 4, 2011, Pages 415-440

  Jo, Booil ^a   Vinokur, Amiram D ^b  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

alternative assumptions; bounds; causal inference; missing data; noncompliance; principal stratification; sensitivity analysis

Indexed keywords

EID: 79960728414     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/1076998610383985     Document Type: Article

References (37)

1. Angrist J. D.,Imbens G. W.,Rubin D. B.Identification of causal effects using instrumental variables.Journal of the American Statistical Association. 1996;91:444-455.
2. Balke A.,Pearl J.Bounds on treatment effects from studies with imperfect compliance.Journal of the American Statistical Association. 1997;92:1171-1176.
3. Barnard J.,Frangakis C. E.,Hill J. L.,Rubin D. B.A principal stratification approach to broken randomized experiments: A case study of school choice vouchers in New York City.Journal of the American Statistical Association. 2003;98:299-311.
4. Bloom H. S.Accounting for non-compliers in experimental evaluation designs.Evaluation Review. 1984;8:225-246.
5. Cheng J.,Small D.Bounds on causal effects in three-arm trials with noncompliance.Journal of the Royal Statistical Society, Series B. 2006;68:815-836.
6. Frangakis C. E.,Rubin D. B.Addressing complications of intention-to-treat analysis in the presence of all-or-none treatment-noncompliance and subsequent missing outcomes.Biometrika. 1999;86:365-379.
7. Frangakis C. E.,Rubin D. B.Principal stratification in causal inference.Biometrics. 2002;58:21-29.
8. Gilbert P. B.,Bosch R. J.,Hudgens M. G.Sensitivity analysis for the assessment of causal vaccine effects on viral load in HIV vaccine trials.Biometrics. 2003;59:531-541.
9. Grilli L.,Mealli F.Nonparametric bounds on the causal effect of university studies on job opportunities using principal stratification.Journal of Educational and Behavioral Statistics. 2008;33:111-130.
10. Heckman J.,Vytlacil E.Econometric evaluations of active market policies in Europe. Lechner M.Pfeiffer F., ed. Heidelberg, Germany: Physica Verlag; 2001:1-15.
11. Hirano K.,Imbens G. W.,Rubin D. B.,Zhou X. H.Assessing the effect of an influenza vaccine in an encouragement design.Biostatistics. 2000;1:69-88.
12. Horowitz J.,Manski C. F.Nonparametric analysis of randomized experiments with missing covariate and outcome data.Journal of the American Statistical Association. 2000;95:77-84.
13. Hotz V. J.,Mullin C.,Sanders S.Bounding causal effects using data from a contaminated natural experiment: Analyzing the effects of teenage childbearing.Review of Economic Studies. 1997;64:575-603.
14. Imbens G. W.,Manski C. F.Confidence intervals for partially identified parameters.Econometrica. 2004;72:1845-1857.
15. Imbens G. W.,Rubin D. B.Bayesian inference for causal effects in randomized experiments with non-compliance.Annals of Statistics. 1997;25:305-327.
16. Jo B.Estimating intervention effects with noncompliance: Alternative model specifications.Journal of Educational and Behavioral Statistics. 2002;27:385-420.
17. Jo B.Bias mechanisms in intention-to-treat analysis with data subject to treatment noncompliance and missing outcomes.Journal of Educational and Behavioral Statistics. 2008;33:158-185.
18. Little R. J. A.,Rubin D. B.Statistical analysis with missing data. New York, NY: John Wiley; 2002:.
19. Manski C. F.Anatomy of the selection problem.Journal of Human Resources. 1989;24:343-360.
20. Manski C. F.Monotone treatment response.Econometrica. 1997;65:1311-1334.
21. Manski C. F.Partial identification of probability distributions. New York, NY: Springer; 2003:.
22. Manski C. F.,Pepper J.Monotone instrumental variables: With an application to the returns to schooling.Econometrica. 2000;68:997-1010.
23. Mattei A.,Mealli F.Application of the principal stratification approach to the Faenza randomized experiment on breast self-examination.Biometrics. 2007;63:437-446.
24. Mealli F.,Imbens G. W.,Ferro S.,Biggeri A.Analyzing a randomized trial on breast self-examination with noncompliance and missing outcomes.Biostatistics. 2004;5:207-222.
25. Peng Y.,Little R. J.,Raghunathan T. E.An extended general location model for causal inferences from data subject to noncompliance and missing values.Biometrics. 2004;60:598-607.
26. Price R. H.,van Ryn M.,Vinokur A. D.Impact of a preventive job search intervention on the likelihood of depression among the unemployed.Journal of Health and Social Behavior. 1992;33:158-167.
27. Robins J. M.Health service research methodology: A focus on AIDS. Sechrest L.Freeman H.Mulley A., ed. Washington, DC: U.S. Public Health Service; 1989:113-159.
28. Robins J. M.Correction for non-compliance in equivalence trials.Statistics in Medicine. 1998;17:269-302.
29. Robins J. M.,Rotnitzky A.,Scharfstein D. O.Statistical models in epidemiology, the environment and clinical trials. Halloran E. M.Berry D., ed. New York, NY: Springer-Verlag; 2000:1-94.
30. Rotnitzky A.,Scharfstein D. O.,Su T.,Robins J. M.Methods for conducting sensitivity analysis of trials with potentially nonignorable competing causes of censoring.Biometrics. 2001;57:103-113.
31. Rubin D. B.Bayesian inference for causal effects: The role of randomization.Annals of Statistics. 1978;6:34-58.
32. Rubin D. B.Discussion of "Randomization analysis of experimental data in the Fisher randomization test" by D. Basu.Journal of the American Statistical Association. 1980;75:591-593.
33. Rubin D. B.Comment on "Neyman (1923) and causal inference in experiments and observational studies.".Statistical Science. 1990;5:472-480.
34. Scharfstein D. O.,Manski C. F.,Anthony J. C.On the construction of bounds in prospective studies with missing ordinal outcomes: Application to the good behavior game trial.Biometrics. 2004;60:154-164.
35. Vinokur A. D.,Price R. H.,Schul Y.Impact of the JOBS intervention on unemployed workers varying in risk for depression.American Journal of Community Psychology. 1995;23:39-74.
36. Vinokur A. D.,Schul Y.Mastery and inoculation against setbacks as active ingredients in intervention for the unemployed.Journal of Consulting and Clinical Psychology. 1997;65:867-877.
37. Zhang J. L.,Rubin D. B.Estimation of causal effects via principal stratification when some outcomes are truncated by "death.".Journal of Educational and Behavioral Statistics. 2003;27:385-420.