Title | Doubly-robust estimators of treatment-specific survival distributions in observational studies with stratified sampling. |
Publication Type | Journal Article |
Year of Publication | 2013 |
Authors | Bai, Xiaofei, Anastasios A. Tsiatis, and Sean M. O'Brien |
Journal | Biometrics |
Volume | 69 |
Issue | 4 |
Pagination | 830-9 |
Date Published | 2013 Dec |
ISSN | 1541-0420 |
Keywords | Coronary Artery Disease, Data Interpretation, Statistical, Humans, Observational Studies as Topic, Outcome Assessment, Health Care, Prevalence, Reproducibility of Results, Sample Size, Sensitivity and Specificity, Statistical Distributions, Survival Analysis, Treatment Outcome, United States |
Abstract | Observational studies are frequently conducted to compare the effects of two treatments on survival. For such studies we must be concerned about confounding; that is, there are covariates that affect both the treatment assignment and the survival distribution. With confounding the usual treatment-specific Kaplan-Meier estimator might be a biased estimator of the underlying treatment-specific survival distribution. This article has two aims. In the first aim we use semiparametric theory to derive a doubly robust estimator of the treatment-specific survival distribution in cases where it is believed that all the potential confounders are captured. In cases where not all potential confounders have been captured one may conduct a substudy using a stratified sampling scheme to capture additional covariates that may account for confounding. The second aim is to derive a doubly-robust estimator for the treatment-specific survival distributions and its variance estimator with such a stratified sampling scheme. Simulation studies are conducted to show consistency and double robustness. These estimators are then applied to the data from the ASCERT study that motivated this research. |
DOI | 10.1111/biom.12076 |
Alternate Journal | Biometrics |
Original Publication | Doubly-robust estimators of treatment-specific survival distributions in observational studies with stratified sampling. |
PubMed ID | 24117096 |
PubMed Central ID | PMC3865227 |
Grant List | 1R01HL118336-01 / HL / NHLBI NIH HHS / United States RC2 HL101489 / HL / NHLBI NIH HHS / United States R37AI031789 / AI / NIAID NIH HHS / United States R37 AI031789 / AI / NIAID NIH HHS / United States RC2HL101489 / HL / NHLBI NIH HHS / United States P01CA142538 / CA / NCI NIH HHS / United States P01 CA142538 / CA / NCI NIH HHS / United States R01 HL118336 / HL / NHLBI NIH HHS / United States |
Doubly-robust estimators of treatment-specific survival distributions in observational studies with stratified sampling.
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