Instrumental Variable Estimation of Marginal Structural Mean Models for Time-Varying Treatment

References

• Abadie, A. (2003), “Semiparametric Instrumental Variable Estimation of Treatment Response Models,” Journal of Econometrics, 113, 231–263. DOI: 10.1016/S0304-4076(02)00201-4.
   Web of Science ®Google Scholar
• Angrist, J. D., Imbens, G. W., and Rubin, D. B. (1996), “Identification of Causal Effects using Instrumental Variables,” Journal of the American statistical Association, 91, 444–455. DOI: 10.1080/01621459.1996.10476902.
   Web of Science ®Google Scholar
• Baker, S. G., and Lindeman, K. S. (1994), “The Paired Availability Design: A Proposal for Evaluating Epidural Analgesia During Labor,” Statistics in Medicine, 13, 2269–2278. DOI: 10.1002/sim.4780132108.
   PubMed Web of Science ®Google Scholar
• Cerdá, M., Diez-Roux, A. V., Tchetgen, E. T., Gordon-Larsen, P., and Kiefe, C. (2010), “The Relationship between Neighborhood Poverty and Alcohol Use: Estimation by Marginal Structural Models,” Epidemiology (Cambridge, MA.), 21, 482–489. DOI: 10.1097/EDE.0b013e3181e13539.
   PubMed Web of Science ®Google Scholar
• Cook, N. R., Cole, S. R., and Hennekens, C. H. (2002), “Use of a Marginal Structural Model to Determine the Effect of Aspirin on Cardiovascular Mortality in the Physicians’ Health Study,” American Journal of Epidemiology, 155, 1045–1053. DOI: 10.1093/aje/155.11.1045.
   PubMed Web of Science ®Google Scholar
• Cui, Y., Michael, H., Tanser, F., and Tchetgen Tchetgen, E. (2021), “Instrumental Variable Estimation of the Marginal Structural Cox Model for Time-Varying Treatments. Biometrika, 110, 101–118. DOI: 10.1093/biomet/asab062.
   PubMed Web of Science ®Google Scholar
• Cui, Y., and Tchetgen Tchetgen, E. (2021), “A Semiparametric Instrumental Variable Approach to Optimal Treatment Regimes under Endogeneity,” Journal of the American Statistical Association, 116, 162–173. DOI: 10.1080/01621459.2020.1783272.
   PubMed Web of Science ®Google Scholar
• Heckman, J. J., and Urzua, S. (2010), “Comparing IV with Structural Models: What Simple IV can and Cannot Identify,” Journal of Econometrics, 156, 27–37. DOI: 10.1016/j.jeconom.2009.09.006.
   PubMed Web of Science ®Google Scholar
• Hernán, M. A., Brumback, B. A., and Robins, J. M. (2002), “Estimating the Causal Effect of Zidovudine on CD4 Count with a Marginal Structural Model for Repeated Measures,” Statistics in Medicine, 21, 1689–1709. DOI: 10.1002/sim.1144.
   PubMed Web of Science ®Google Scholar
• Imbens, G. W., and Angrist, J. D. (1994), “Identification and Estimation of Local Average Treatment Effects,” Econometrica, 62, 467–475. DOI: 10.2307/2951620.
   Web of Science ®Google Scholar
• Lorch, S. A., Baiocchi, M., Ahlberg, C. E., and Small, D. S. (2012), “The Differential Impact of Delivery Hospital on the Outcomes of Premature Infants,” Pediatrics, 130, 270–278. DOI: 10.1542/peds.2011-2820.
   PubMed Web of Science ®Google Scholar
• Morrison, C. S., Pai-Lien, C., Cynthia, K., Richardson, B. A., Chipato, T., Mugerwa, R., Byamugisha, J., Padian, N., Celentano, D. D., and Salata, R. A. (2010), “Hormonal Contraception and HIV Acquisition: Reanalysis using Marginal Structural Modeling,” AIDS (London, England), 24, 1778–1781. DOI: 10.1097/QAD.0b013e32833a2537.
   PubMed Web of Science ®Google Scholar
• Newey, W. K., and McFadden, D. (1994), “Large Sample Estimation and Hypothesis Testing,” Handbook of Econometrics, 4, 2111–2245.
   Google Scholar
• Richardson, T. S., and Robins, J. M. (2013), “Single World Intervention Graphs (SWIGs),” Center for the Statistics and the Social Sciences, University ofWashington Series, 128, working paper.
   Google Scholar
• Robins, J. M. (1994), “Correcting for Non-compliance in Randomized Trials using Structural Nested Mean Models,” Communications in Statistics-Theory and Methods, 23, 2379–2412. DOI: 10.1080/03610929408831393.
   Web of Science ®Google Scholar
• Robins, J. M. (1997a), “Marginal Structural Models,” in 1997 Proceedings of the American Statistical Association, pp. 1–10 of 1998 Section on Bayesian Statistical Science.
   Google Scholar
• Robins, J. M. (1997b), “Causal Inference from Complex Longitudinal Data,” in Latent Variable Modeling and Applications to Causality, ed. M. Berkane, pp. 69–117, New York: Springer.
   Google Scholar
• Robins, J. M. (2000), “Marginal Structural Models Versus Structural Nested Models as Tools for Causal Inference,” in Statistical Models in Epidemiology, the Environment, and Clinical Trials, eds. M. Elizabeth Halloran and D. Berry, pp. 95–133, New York: Springer.
   Google Scholar
• Robins, J. M. (2004), “Optimal Structural Nested Models for Optimal Sequential Decisions,” in Proceedings of the Second Seattle Symposium in Biostatistics, pp. 189–326.
   Google Scholar
• Robins, J. M., Rotnitzky, A., and Zhao, L. P. (1994), “Estimation of Regression Coefficients When some Regressors are not Always Observed,” Journal of the American Statistical Association, 89, 846–866. DOI: 10.1080/01621459.1994.10476818.
   Web of Science ®Google Scholar
• Tchetgen Tchetgen, E. J., Michael, H., and Cui, Y. (2018), “Marginal Structural Models for Time-varying Endogenous Treatments: A Time-Varying Instrumental Variable Approach,” ArXiv e-prints.
   Google Scholar
• VanderWeele, T. J., Hawkley, L. C., Thisted, R. A., and Cacioppo, J. T. (2011), “A Marginal Structural Model Analysis for Loneliness: Implications for Intervention Trials and Clinical Practice,” Journal of Consulting and Clinical Psychology, 79, 225–235. DOI: 10.1037/a0022610.
   PubMed Web of Science ®Google Scholar
• Wang, L., and Tchetgen Tchetgen, E. (2018), “Bounded, Efficient and Multiply Robust Estimation of Average Treatment Effects Using Instrumental Variables,” Journal of the Royal Statistical Society, Series B, 80, 531–550. DOI: 10.1111/rssb.12262.
   Google Scholar
• Yang, F., Lorch, S. A., and Small, D. S. (2014), “Estimation of Causal Effects Using Instrumental Variables with Nonignorable Missing Covariates: Application to Effect of Type of Delivery NICU on Premature Infants,” The Annals of Applied Statistics, 8, 48–73. DOI: 10.1214/13-AOAS699.
   Web of Science ®Google Scholar