Abstract

Nearest Neighbour (NN) propensity score (PS) matching methods are commonly used in pharmacoepidemiology to estimate treatment response using observational data. Unfortunately, there is limited evidence on the optimal approach for accurately estimating binary treatment response and, more so, to estimate its variance. Bootstrapping, although commonly used to accurately estimate variance, is rarely used together with PS matching. In this Monte Carlo simulation-based study, we examined the performance of bootstrapping used in conjunction with PS matching, as opposed to different NN matching techniques, on a simulated dataset exhibiting varying levels of real world complexity. Thus, an experimental design was set up that independently varied the proportion of patients treated, the proportion of outcomes censored and the amount of PS matches used. Simulation results were externally validated on a real observational dataset obtained from the Belgian Cancer Registry. We found all investigated PS methods to be stable and concordant, with k-NN matching to be optimally dealing with the censoring problem, typically present in chronic cancer-related datasets, whilst being the least computationally expensive. In contrast, bootstrapping used in conjunction with PS matching, being the most computationally expensive, only showed superior results in small patient populations with long-term largely unobserved treatment effects.

Highlights

  • IntroductionWe present the propensity score (PS) matching technique for estimating treatment effect and describes how different greedy Nearest Neighbour (NN) algorithms and the bootstrapping method can be used to mitigate the censoring problem and to estimate uncertainty on individual treatment effects

  • Propensity Score Matching and BoostrappingThis section presents the propensity score (PS) matching technique for estimating treatment effect and describes how different greedy Nearest Neighbour (NN) algorithms14 and the bootstrapping method9–13 can be used to mitigate the censoring problem and to estimate uncertainty on individual treatment effects

  • Bootstrapping, a method commonly used to accurately estimate variance, is rarely used together with PS matching. In this Monte Carlo simulation-based study, we examined the performance of the complex bootstrap method, as described by Austin (2014), to estimate binary treatment response and variance in the domain of oncology

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Summary

Introduction

We present the PS matching technique for estimating treatment effect and describes how different greedy NN algorithms and the bootstrapping method can be used to mitigate the censoring problem and to estimate uncertainty on individual treatment effects. Each of the matching algorithms uses matching with replacement, so that each control unit can be matched to multiple treated units. In NN PS matching, each treated patient is matched to one or more patients from the control group based on the closest PS = Pr(Zi = 1|Xi) value. Any regression technique can be used to develop the propensity model as long as it provides reasonable fit to the data. It is not necessary that the chosen technique produces calibrated probabilities as units are matched on a score

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