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Published in: Lifetime Data Analysis 1/2024

24-08-2023

Causal survival analysis under competing risks using longitudinal modified treatment policies

Published in: Lifetime Data Analysis | Issue 1/2024

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Abstract

Longitudinal modified treatment policies (LMTP) have been recently developed as a novel method to define and estimate causal parameters that depend on the natural value of treatment. LMTPs represent an important advancement in causal inference for longitudinal studies as they allow the non-parametric definition and estimation of the joint effect of multiple categorical, ordinal, or continuous treatments measured at several time points. We extend the LMTP methodology to problems in which the outcome is a time-to-event variable subject to a competing event that precludes observation of the event of interest. We present identification results and non-parametric locally efficient estimators that use flexible data-adaptive regression techniques to alleviate model misspecification bias, while retaining important asymptotic properties such as \(\sqrt{n}\)-consistency. We present an application to the estimation of the effect of the time-to-intubation on acute kidney injury amongst COVID-19 hospitalized patients, where death by other causes is taken to be the competing event.

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Appendix
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Footnotes
1
Some of these points were brought to our attention by Edward H. Kennedy in a conversation on Twitter (see this thread, https://twitter.com/edwardhkennedy/status/1446952129218949128?s=20 &t=8o_-20szw0PPfqocYiw7Dg).
 
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Metadata
Title
Causal survival analysis under competing risks using longitudinal modified treatment policies
Publication date
24-08-2023
Published in
Lifetime Data Analysis / Issue 1/2024
Print ISSN: 1380-7870
Electronic ISSN: 1572-9249
DOI
https://doi.org/10.1007/s10985-023-09606-7

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PREFACE

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