Structural Nested Failure Time Models

Structural nested failure time models are causal models for the effect of a time-dependent treatment or exposure on a survival time outcome in the presence of time-dependent confounders. A time-dependent confounder is a repeatedly measured covariate, which acts as a confounder for future exposure measurements but is on the causal path between earlier exposure measurements and ultimate response (i.e. here it acts as intermediate variable). Standard epidemiologic methodology fails if time-dependent confounders are present. Under the essential condition of no unmeasured confounders (the mathematical definition of which is a central issue) these models allow for unbiased causal inference, generalizing Robins's g-computation algorithm. The models use as building blocks time-dependent accelerated failure time models. Important applications are intricate endogenous (feedback) selection effects in occupational epidemiology (healthy worker effect) and clinical epidemiology (AIDS treatment). Keywords: survival analysis; time-dependent confounder; observational epidemiology; no unmeasured confounder; causality; randomization; longitudinal studies; intermediate variable; g-computation; accelerated failure time models

[1]  J. Robins,et al.  Recovery of Information and Adjustment for Dependent Censoring Using Surrogate Markers , 1992 .

[2]  James M. Robins,et al.  Causal Inference from Complex Longitudinal Data , 1997 .

[3]  J. Robins Correcting for non-compliance in randomized trials using structural nested mean models , 1994 .

[4]  J. Robins,et al.  Adjusting for differential rates of prophylaxis therapy for PCP in high- versus low-dose AZT treatment arms in an AIDS randomized trial , 1994 .

[5]  L. J. Wei,et al.  The Robust Inference for the Cox Proportional Hazards Model , 1989 .

[6]  J. Robins,et al.  A method for the analysis of randomized trials with compliance information: an application to the Multiple Risk Factor Intervention Trial. , 1993, Controlled clinical trials.

[7]  M. J. van der Laan,et al.  Estimation with Interval Censored Data and Covariates , 1997, Lifetime data analysis.

[8]  J. Robins A new approach to causal inference in mortality studies with a sustained exposure period—application to control of the healthy worker survivor effect , 1986 .

[9]  Donald B. Rubin,et al.  Bayesian Inference for Causal Effects: The Role of Randomization , 1978 .

[10]  J. Robins,et al.  G-estimation of causal effects: isolated systolic hypertension and cardiovascular death in the Framingham Heart Study. , 1998, American journal of epidemiology.

[11]  Elja Arjas,et al.  On predictive causality in longitudinal studies , 1993 .

[12]  J. Robins 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” , 1987 .

[13]  J. Pearl Causal diagrams for empirical research , 1995 .

[14]  J P Klein,et al.  Plotting summary predictions in multistate survival models: probabilities of relapse and death in remission for bone marrow transplantation patients. , 1993, Statistics in medicine.

[15]  P. Rosenbaum The Consequences of Adjustment for a Concomitant Variable that Has Been Affected by the Treatment , 1984 .

[16]  J. Robins,et al.  Correcting for non-compliance in randomized trials using rank preserving structural failure time models , 1991 .

[17]  J M Robins,et al.  Correction for non-compliance in equivalence trials. , 1998, Statistics in medicine.

[18]  J. Robins,et al.  G-Estimation of the Effect of Prophylaxis Therapy for Pneumocystis carinii Pneumonia on the Survival of AIDS Patients , 1992, Epidemiology.

[19]  J. Robins Estimation of the time-dependent accelerated failure time model in the presence of confounding factors , 1992 .

[20]  J. Robins,et al.  Estimating the causal effect of smoking cessation in the presence of confounding factors using a rank preserving structural failure time model. , 1993, Statistics in medicine.

[21]  P. Rosenbaum Conditional Permutation Tests and the Propensity Score in Observational Studies , 1984 .