A general implementation of TMLE for longitudinal data applied to causal inference in survival analysis

International Journal of Biostatistics

Volumn 8, Issue 1, 2014, Pages

  Stitelman, Ori M ^a   De Gruttola, Victor ^b   Van Der Laan, Mark J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

causal inference; double robust; informative censoring; survival analysis; targeted maximum likelihood estimation; time dependent covariates

Indexed keywords

ALGORITHM; ARTICLE; ATTRIBUTABLE RISK; CD4 LYMPHOCYTE COUNT; CONFIDENCE INTERVAL; HUMAN; LOGISTIC REGRESSION ANALYSIS; LONGITUDINAL STUDY; MAXIMUM LIKELIHOOD METHOD; MONTE CARLO METHOD; PROBABILITY; SIMULATION; SURVIVAL RATE; SURVIVAL TIME; TARGETED MAXIMUM LIKELIHOOD ESTIMATION; VIRUS LOAD; AGE; CLINICAL TRIAL (TOPIC); COMPUTER SIMULATION; EPIDEMIOLOGY; METHODOLOGY; SEX DIFFERENCE; STATISTICAL MODEL; STATISTICS; SURVIVAL; TIME;

AGE FACTORS; ALGORITHMS; CAUSALITY; CLINICAL TRIALS AS TOPIC; COMPUTER SIMULATION; HUMANS; LIKELIHOOD FUNCTIONS; LONGITUDINAL STUDIES; MARKOV CHAINS; SEX FACTORS; SURVIVAL ANALYSIS; TIME FACTORS;

EID: 84907611570     PISSN: None     EISSN: 15574679     Source Type: Journal    
DOI: 10.1515/1557-4679.1334     Document Type: Article

References (28)

1. Bang, H. and J. Robins (2005): "Doubly robust estimation in missing data and causal inference models, " Biometrics, 61, 962-972.
2. Gruber, S. and M. van der Laan (2010a): "An application of collaborative targeted maximum likelihood estimation in causal inference and genomics, " The International Journal of Biostatistics, 6.
3. Gruber, S. and M. van der Laan (2010b): "A targeted maximum likelihood estimator of a causal effect on a bounded continuous outcome, " The International Journal of Biostatistics, 6.
4. Hernan, M. et al. (2005): "Structural accelerated failure time models for survival analysis in studies with time-varying treatments, " Pharmacoepidemiology and Drug Safety, 14, 477-491.
5. Hernan, M. et al. (2006): "Comparison of dynamic treatment regimes via inverse probability weighting, " Basic and Clinical Pharmacology and Epidemiology, 98, 237-242.
6. Hernan, M. et al. (2009): "Observation plans in longitudinal studies with timevarying treatments, " Statistical Methods in Medical Research, 18, 27-52.
7. Hubbard, A., M. van der Laan, and J. Robins (1999): "Nonparametric locally efficient estimation of the treatment specific survival distribution with right censored data and covariates in observational studies, " in M. Halloran and D. Berry, eds., Statistical Models in Epidemiology, The Environment and Clinical Trials, IMA Volumes in Mathematics and its Applications, Ed. M.E. Halloran and D. Berry, volume 116, Springer Verlag, 135-178.
8. Kang, J. and J. Schafer (2007): "Demystifying double robustness: A comparison of alternative strategies for estimating a population mean from incomplete data (with discussion), " Statistical Science, 22, 523-39.
9. Lok, J. (2009): "Statistical modeling of causal effects in continuous time, " Annals of statistics, 36, 1464-1507.
10. Moore, K. and M. van der Laan (2009): "Application of time-to-event methods in the assessment of safety in clinical trials, " in K. E. Peace, ed., in Design, Summarization, Analysis & Interpretation of Clinical Trials with Time-to-Event Endpoints, Chapman and Hall.
11. Pearl, J. (2008): Causality: Models, Reasoning, and Inference, Cambridge University Press, Cambridge.
12. Porter, K., S. Gruber, M. van der Laan, and J. Sekhon (2011): "The relative performance of targeted maximum likelihood estimators, " UC Berkeley Division of Biostatistics Working Paper Series, 279.
13. Robins, J. (1987): "Addendum to: "A new approach to causal inference in mortality studies with a sustained exposure period'application to control of the healthy worker survivor effect", " Comput. Math. Appl., 14, 923-945.
14. Robins, J. and A. Rotnitzky (1992): "Recovery of information and adjustment for dependent censoring using surrogate markers, " in AIDS Epidemiology, Methodological issues, Bikhöuser.
15. Robins, J., M. Sued, Q. Lei-Gomez, and A. Rotnitzky (2007): "Comment: Performance of double-robust estimators when "inverse probability" weights are highly variable, " Statistical Science, 22, 544-559.
16. Rose, S. and M. van der Laan (2010): "Why match? investigating matched casecontrol study designs with causal effect estimation, " The International Journal of Biostatistics, 5.
17. Samore, M. et al. (2005): "A simulation-based evaluation of methods to estimate the impact of an adverse event on hospital length of stay." Medical Care, 45, 108-115.
18. Stitelman, O., V. De Gruttola, and M. van der Laan (2011): "A general implementation of tmle for longitudinal data applied to causal inference in survival analysis, " UC Berkeley Division of Biostatistics Working Paper Series, 281.
19. Stitelman, O. and M. van der Laan (2010): "Collaborative targeted maximum likelihood for time to event data, " The International Journal of Biostatistics, 6.
20. Stitelman, O. and M. van der Laan (2011): "Targeted maximum likelihood estimation of effect modification parameters in survival analysis, " The International Journal of Biostatistics, 7.
21. van der Laan, M. (2010a): "Targeted maximum likelihood based causal inference: Part 1, " The International Journal of Biostatistics, 6.
22. van der Laan, M. (2010b): "Targeted maximum likelihood based causal inference: Part 2, " The International Journal of Biostatistics, 6.
23. van der Laan, M. and S. Gruber (2010): "Collaborative double robust targeted maximum likelihood estimation, " The International Journal of Biostatistics, 6.
24. van der Laan, M., E. Polley, and A. Hubbard (2007): "Super learner, " Statistical Applications in Genetics and Molecular Biology, 6.
25. van der Laan, M. and J. Robins (2003): Unified methods for censored longitudinal data and causality, Springer, New York.
26. van der Laan, M. and S. Rose (2011): Targeted Learning: Causal Inference for Observational and Experimental Data, Berlin Heidelberg New York: Springer.
27. van der Laan, M. and D. Rubin (2006): "Targeted maximum likelihood learning, " The International Journal of Biostatistics, 2.
28. Wester, C. et al. (2010): "Non-nucleoside reverse transcriptase inhibitor outcomes among combination antiretroviral therapy-treated adults in botswana, " AIDS, 24, S27-S36.