Abstract

Kaplan-Meier estimate or proportional hazards regression is commonly used directly to estimate the effect of treatment on survival time in randomized clinical studies. However, such methods usually lead to biased estimate of treatment effect in non-randomized or observational studies because the treated and untreated groups cannot be compared directly due to potential systematical difference in baseline characteristics. Researchers have developed various methods for adjusting biased estimates by balancing out confounding covariates such as matching or stratification on propensity score, inverse probability treatment weighting. However, very few studies have compared the performance of these methods. In this paper, we conducted an intensive case study to compare the performance of various bias correction methods for non-randomized studies and applied these methods to the right-heart catheterization (RHC) study to investigate the impact of RHC on the survival time of critically ill patients in the intensive care unit. Our findings suggest that, after bias adjustment procedures, RHC was associated with increased mortality. The inverse probability treatment weighting outperforms other bias adjustment methods in terms of bias, mean-squared error of the hazard ratio estimators, type I error and power. In general, a combination of these bias adjustment methods could be applied to make the estimation of the treatment effect more efficient.

Highlights

  • In randomized clinical studies, the effect of treatment on patients’ survival time can be estimated by comparing treated and untreated subjects directly

  • The results provided evidence that the difference of survival functions between the two groups is more significant at significance level 0.05 after propensity score matching and the patients who received right-heart catheterization (RHC) had lower survival time than those who did not receive RHC

  • According to the application results from three bias adjustment methods on the Right Heart Catheterization study, we conclude from the Cox proportional-hazards regression that patients receiving RHC had decreased survival time

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Summary

Introduction

The effect of treatment on patients’ survival time can be estimated by comparing treated and untreated subjects directly. In an observational (or nonrandomized) study, the treated and untreated groups cannot be compared directly because they may systematically differ at baseline characteristics. The effect of medical treatment on patients’ survival time may be confounded by their baseline covariates. Systematic differences in baseline characteristics between the treated and untreated groups must be considered in assessing the impact of treatment on survival time in observational studies. What’s more, as we will see in the matching methods, the distributions of the propensity score in the two treatment groups are different, which reveals the systematic difference in the two studies and the problem of confounding.

Matching on Propensity Score
Stratification on Propensity Score
Inverse Probability of Treatment Weighting
Findings
Discussions and Conclusions
Full Text
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