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Statistics in Medicine
Article . 2023 . Peer-reviewed
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zbMATH Open
Article . 2024
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 2023
License: CC BY
Data sources: Datacite
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Inverse probability of treatment weighting with generalized linear outcome models for doubly robust estimation

Authors: Erin E. Gabriel; Michael C. Sachs; Torben Martinussen; Ingeborg Waernbaum; Els Goetghebeur; Stijn Vansteelandt; Arvid Sjölander;

Inverse probability of treatment weighting with generalized linear outcome models for doubly robust estimation

Abstract

There are now many options for doubly robust estimation; however, there is a concerning trend in the applied literature to believe that the combination of a propensity score and an adjusted outcome model automatically results in a doubly robust estimator and/or to misuse more complex established doubly robust estimators. A simple alternative, canonical link generalized linear models (GLM) fit via inverse probability of treatment (propensity score) weighted maximum likelihood estimation followed by standardization (the ‐formula) for the average causal effect, is a doubly robust estimation method. Our aim is for the reader not just to be able to use this method, which we refer to as IPTW GLM, for doubly robust estimation, but to fully understand why it has the doubly robust property. For this reason, we define clearly, and in multiple ways, all concepts needed to understand the method and why it is doubly robust. In addition, we want to make very clear that the mere combination of propensity score weighting and an adjusted outcome model does not generally result in a doubly robust estimator. Finally, we hope to dispel the misconception that one can adjust for residual confounding remaining after propensity score weighting by adjusting in the outcome model for what remains ‘unbalanced’ even when using doubly robust estimators. We provide R code for our simulations and real open‐source data examples that can be followed step‐by‐step to use and hopefully understand the IPTW GLM method. We also compare to a much better‐known but still simple doubly robust estimator.

Countries
Belgium, Sweden, Denmark
Keywords

FOS: Computer and information sciences, Models, Statistical, generalized linear models, Applications of statistics to biology and medical sciences; meta analysis, Methodology (stat.ME), Mathematics and Statistics, Data Interpretation, Statistical, Linear Models, Humans, Sannolikhetsteori och statistik, Computer Simulation, causal inference, Probability Theory and Statistics, Propensity Score, doubly robust, Statistics - Methodology, Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Top 10%
Top 10%
Top 10%
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