Angrist, J., Imbens, G., Rubin, D.: Identification of causal effects using instrumental variables. J. Am. Stat. Assoc. 91, 444–455 (1996)
Article
Google Scholar
Baranowski, T.: Theory as mediating variables: why aren’t community interventions working as desired? Ann. Epidemiol. S7, S89–S95 (1997)
Article
Google Scholar
Baron, R.M., Kenny, D.A.: The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. J. Pers. Soc. Psychol. 51, 1173–1182 (1986)
PubMed
Article
CAS
Google Scholar
Brown, G., Ten Have, T., Henriques, G., Xie, S.X., Hollander, J.E., Beck, A.T.: Cognitive therapy for the prevention of suicide attempts: a randomized controlled trial. J. Am. Med. Assoc. 294, 2847–2848 (2005)
Google Scholar
Bruce, M., Ten Have, T., Reynolds, C., et al.: A randomized trial to reduce suicidal ideation and depressive symptoms in depressed older primary care patients: the PROSPECT study. J. Am. Med. Assoc. 291, 1081–1091 (2004)
Article
CAS
Google Scholar
Cole, D., Maxwell, S.: Testing mediational models with longitudinal data: questions and tips in the use of structural equation modeling. J. Abnorm. Psychol. 112, 558–577 (2003)
PubMed
Article
Google Scholar
Frangakis, C., Brookmeyer, R., Varadhan, R., Safaeian, M., Vlahov, D., Strathdee, S.: Methodology for evaluating a partially controlled longitudinal treatment using principal stratification, with application to a needle exchange program. J. Am. Stat. Assoc. 97, 284–292 (2004)
Google Scholar
Frangakis, C., Rubin, D.: Principal stratification in causal inference. Biometrics 58, 21–29 (2002)
PubMed
Article
Google Scholar
Frangakis, C., Rubin, D., Zhao, X.-H.: Clustered encouragement designs with individual noncompliance: Bayesian inference with randomization, and application to advance directive forms. Biostatistics 3, 147–164 (2002)
PubMed
Article
Google Scholar
Gallop, R., Small, D., Ten Have, T.: Mediation analyses with principal stratification models. Submitted (2007)
Gollob, H.F., Reichardt, C.S.: Taking account of time lags in causal models. Child Dev. 58, 80–92 (1987)
PubMed
Article
CAS
Google Scholar
Gollob, H.F., Reichardt, C.S.: Interpreting and estimating indirect effects assuming time lags really matter. In: Collins, L.M., Horn, J.L. (eds.) Best Methods for the Analysis of Change: Recent Advances, Unanswered Questions, Future Directions, pp 243–259. American Psychological Association (1991)
Hirano, K., Imbens, G., Rubin, D., Zhou, X.: Assessing the effect of an influenza vaccine in an encouragement design. Biostatistics 1, 69–88 (2000)
PubMed
Article
Google Scholar
Holland, P.: Statistics and causal inference. J. Am. Stat. Assoc. 81, 945–960 (1986)
Article
Google Scholar
Imbens, G., Rubin, D.: Bayesian inference for causal effects in randomized experiments with noncompliance. Ann. Stat. 25, 305–327 (1997)
Article
Google Scholar
Joffe, M., Hoover, D., Jacobson, L., Kingsley, L., Chmiel, J., Fischer, B., Robins, J.: Estimating the effect of Ziduvodine on Kaposi’s sarcoma from observational data using a rank preserving failure time model. Stat. Med. 17, 1073–1102 (1998)
PubMed
Article
CAS
Google Scholar
Joffe, M., Small, D., Hsu, C.: Defining and estimating intervention effects for groups who will develop an auxiliary outcome. Stat. Sci. 22, 74–97 (2007)
Article
Google Scholar
Judd, C.M., Kenny, D.A.: Process analysis: Estimating mediation in treatment evaluations. Eval. Rev. 5, 602–619 (1981)
Article
Google Scholar
Kazdin, A.: Mediators and mechanisms of change in psychotherapy research. Ann. Rev. Clin. Psychol. 3, 1–27 (2007)
Article
Google Scholar
Kenny, D., Korchmaros, J., Bolger, N.: Lower level mediation in multi-level models. Psychol. Methods 8, 115–128 (2003)
PubMed
Article
Google Scholar
Kraemer, H., Stice, E., Kazdin, A., Offord, D., Kupfer, D.: How do risk factors work together? Mediators, moderators, and independent, overlapping, and proxy risk factors. Am. J. Psychiat. 158, 848–856 (2001)
PubMed
CAS
Google Scholar
Kraemer, H., Wilson, G., Fairburn, C.: Mediators and moderators of treatment effects in randomized clinical trials. Arch. Gen. Psychiatry 59, 877–883 (2002)
PubMed
Article
Google Scholar
Krull, J.L., MacKinnon, D.P.: Multilevel mediation modeling in group-based intervention studies. Eval. Rev. 23, 418–444 (1999)
PubMed
CAS
Google Scholar
Krull, J.L., MacKinnon, D.P.: Multilevel modeling of individual and group level mediated effects. Multivariate Behav. Res. 36, 249–277 (2001)
Article
Google Scholar
MacKinnon, D.P., Dwyer, J.H.: Estimating mediated effects in prevention studies. Eval. Rev. 17, 144–158 (1993)
Article
Google Scholar
MacKinnon, D.P., Lockwood, C.M., Hoffman, J.M., West, S.G., Sheets, V.: A comparison of methods to test mediation and other intervening variable effects. Psychol. Methods 7, 83–104 (2002)
PubMed
Article
Google Scholar
Mavandadi, S., Ten Have, T., Katz, I., Nalla, U., Durai, B., Krahn, D., Llorente, M., Kirchner, J., Olsen, E., Van Stone, W., Cooley, S., Oslin, D.: The effect of depression treatment on depressive symptoms in older adulthood: the moderating role of pain. J. Am. Geriatr. Soc. 55, 202–211 (2007)
PubMed
Article
Google Scholar
Mealli, F., Imbens, G., Ferro, S., Biggeri, A.: Analyzing a randomized trial on breast self-examination with noncompliance and missing outcomes. Biostatistics 5, 207–222 (2004)
PubMed
Article
Google Scholar
Mealli, F., Rubin, D.: Commentary: assumptions allowing the estimation of direct causal effects. J. Econom. 112, 79–87 (2003)
Article
Google Scholar
Neyman, J.: On the application of probability theory to agricultural experiments. Essay on principles. Stat. Sci. 5, 465–472 (1923), Translated by D.M. Dabrowska and edited by T.P. Speed (1990)
Pearl, J.: Causality. Cambridge University Press, Cambridge UK (1999)
Google Scholar
Pearl, J.: Direct and indirect effects. In: Besnard, P., Hanks, S. (eds.) Proceedings of the Seventeenth Conference on Uncertainty in Artificial Intelligence, pp. 411–420. Morgan Kaufmann, San Francisco (2001)
Prentice, R., Langer, M., Stefanick, B., et al.: Combined postmenopausal hormone therapy and cardiovascular disease: toward resolving the discrepancy between observational studies and the women’s health initiative clinical trial. Am. J. Epidemiol. 162, 404–414 (2005)
Google Scholar
Robins, J.: Correcting for non-compliance in randomized trials using structural nested mean models. Commun. Stat. Theory Methods 23, 2379–2412 (1994)
Article
Google Scholar
Robins, J.: Testing and estimation of direct effects by reparameterizing directed acyclic graphs with structural nested models. In: Glymour, C., Cooper, G. (eds.) Computation, Causation, and Discovery, pp 349–405. AAAI Press/The MIT Press, Menlo Park CA/Cambridge MA (1999)
Google Scholar
Robins, J.: Semantics of causal DAG models and the identification of direct and indirect effects. In: Green, P., Hjort, N., Richardson, S. (eds.) In Highly Structured Stochastic Systems, pp 70–81. Oxford University Press, New York (2003)
Google Scholar
Robins, J., Blevins, D., Ritter, G., Wulfsohn, M.: G-estimation of the effect of prophylaxis therapy for pneumocystis carinii pneumonia on the survival of AIDS patients. Epidemiology 3, 319–336 (1992)
PubMed
Article
CAS
Google Scholar
Robins, J., Rotnitzky, A.: Estimation of treatment effects in randomised trials with non-compliance and a dichotomous outcome using structural mean models. Biometrika 91, 763–783 (2005)
Article
Google Scholar
Rubin, D.: Estimating causal effects of treatment in randomized and nonrandomized studies. J. Educ. Psychol. 66, 688–701 (1974)
Article
Google Scholar
Rubin, D.: Statistics rs. J. Am. Stat. Assoc. 81, 961–962 (1986)
Article
Google Scholar
Rubin, D.: Direct and indirect causal effects via potential outcomes. Scand. J. Stat. 31, 161–170 (2004)
Article
Google Scholar
Ten Have, T., Joffe, M., Cary, M.: Causal logistic models for non-compliance under randomized treatment with univariate binary response. Stat. Med. 22, 1255–1284 (2003)
Google Scholar
Ten Have, T., Elliott, M., Joffe, M., Zanutto, E., Datto, C.: Causal models for randomized physician encouragement trials in treating primary care depression. J. Am. Stat. Assoc. 99, 8–16 (2004)
Google Scholar
Ten Have, T., Joffe, M., Lynch, K., Maisto, S., Brown, G., Beck, A.: Causal mediation analyses with rank preserving models. Biometrics 63, 926–934 (2007)
Article
Google Scholar
Vansteelandt, S., Goetghebeur, E.: Causal inference with generalized structural mean models. J. Roy. Stat. Soc. B 65, 817–835 (2003)
Article
Google Scholar
Vansteelandt, S., Goetghebeur, E.: Using potential outcomes as predictors of treatment activity via strong structural mean models. Stat. Sinica 14, 907–925 (2004)
Google Scholar