Causal inference for continuous-time processes when covariates are observed only at discrete times
Autor: | Zhang, Mingyuan, Joffe, Marshall M., Small, Dylan S. |
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Rok vydání: | 2011 |
Předmět: | |
Zdroj: | Annals of Statistics 2011, Vol. 39, No. 1, 131-173 |
Druh dokumentu: | Working Paper |
DOI: | 10.1214/10-AOS830 |
Popis: | Most of the work on the structural nested model and g-estimation for causal inference in longitudinal data assumes a discrete-time underlying data generating process. However, in some observational studies, it is more reasonable to assume that the data are generated from a continuous-time process and are only observable at discrete time points. When these circumstances arise, the sequential randomization assumption in the observed discrete-time data, which is essential in justifying discrete-time g-estimation, may not be reasonable. Under a deterministic model, we discuss other useful assumptions that guarantee the consistency of discrete-time g-estimation. In more general cases, when those assumptions are violated, we propose a controlling-the-future method that performs at least as well as g-estimation in most scenarios and which provides consistent estimation in some cases where g-estimation is severely inconsistent. We apply the methods discussed in this paper to simulated data, as well as to a data set collected following a massive flood in Bangladesh, estimating the effect of diarrhea on children's height. Results from different methods are compared in both simulation and the real application. Comment: Published in at http://dx.doi.org/10.1214/10-AOS830 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) |
Databáze: | arXiv |
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