Abstract
Propensity score methods are increasingly being used to reduce or minimize the effects of confounding when estimating the effects of treatments, exposures, or interventions when using observational or non-randomized data. Under the assumption of no unmeasured confounders, previous research has shown that propensity score methods allow for unbiased estimation of linear treatment effects (e.g., differences in means or proportions). However, in biomedical research, time-to-event outcomes occur frequently. There is a paucity of research into the performance of different propensity score methods for estimating the effect of treatment on time-to-event outcomes. Furthermore, propensity score methods allow for the estimation of marginal or population-average treatment effects. We conducted an extensive series of Monte Carlo simulations to examine the performance of propensity score matching (1:1 greedy nearest-neighbor matching within propensity score calipers), stratification on the propensity score, inverse probability of treatment weighting (IPTW) using the propensity score, and covariate adjustment using the propensity score to estimate marginal hazard ratios. We found that both propensity score matching and IPTW using the propensity score allow for the estimation of marginal hazard ratios with minimal bias. Of these two approaches, IPTW using the propensity score resulted in estimates with lower mean squared error when estimating the effect of treatment in the treated. Stratification on the propensity score and covariate adjustment using the propensity score result in biased estimation of both marginal and conditional hazard ratios. Applied researchers are encouraged to use propensity score matching and IPTW using the propensity score when estimating the relative effect of treatment on time-to-event outcomes. Copyright © 2012 John Wiley & Sons, Ltd.
Highlights
Observational studies are increasingly being used to estimate the effects of treatments, interventions, and exposures on outcomes
We examined the relative bias of covariate adjustment using the propensity score, stratification on the propensity score, and the matched analysis that stratified on matched pairs when estimating the underlying conditional hazard ratio that was used in the data-generating process
We conducted an extensive series of Monte Carlo simulations to examine the performance of different propensity score methods to estimate marginal hazard ratios
Summary
Observational studies are increasingly being used to estimate the effects of treatments, interventions, and exposures on outcomes. The advantage of RCTs is that random allocation of treatment assignment allows one to obtain an unbiased estimate of the average treatment effect [1] This is because there will, on average, be no systematic differences in baseline covariates between treatment groups. Propensity score methods are increasingly being used to reduce or minimize the confounding that occurs frequently in observational studies of the effect of treatment on outcomes. Several studies have examined the performance of different propensity score methods for estimating treatment effects when outcomes are binary [6,7,8,9]. The objective of the current study is to examine the ability of different propensity score methods to estimate marginal and conditional hazard ratios when outcomes are time to event in nature.
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