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G-formula is a popular approach for estimating treatment or exposure effects from longitudinal data that are subject to time-varying confounding. G-formula estimation is typically performed by Monte-Carlo simulation, with non-parametric…

Researchers are often interested in using longitudinal data to estimate the causal effects of hypothetical time-varying treatment interventions on the mean or risk of a future outcome. Standard regression/conditioning methods for…

We consider the problem of learning about and comparing the consequences of dynamic treatment strategies on the basis of observational data. We formulate this within a probabilistic decision-theoretic framework. Our approach is compared…

Statistics Theory · Mathematics 2010-11-16 A. Philip Dawid , Vanessa Didelez

Dynamic prediction of causal effects under different treatment regimes conditional on an individual's characteristics and longitudinal history is an essential problem in precision medicine. This is challenging in practice because outcomes…

Methodology · Statistics 2023-03-07 Yizhen Xu , Jisoo Kim , Laura K. Hummers , Ami A. Shah , Scott Zeger

Longitudinal causal inference is concerned with defining, identifying, and estimating the effect of a time-varying intervention on a time-varying outcome that is indexed by a follow-up time. In an observational study, Robins's generalized…

Methodology · Statistics 2025-10-01 Herbert P. Susmann , Nicholas T. Williams , Richard Liu , Jessica G. Young , Iván Díaz

Longitudinal observational patient data can be used to investigate the causal effects of time-varying treatments on time-to-event outcomes. Several methods have been developed for controlling for the time-dependent confounding that…

Methodology · Statistics 2021-10-08 Ruth H. Keogh , Jon Michael Gran , Shaun R. Seaman , Gwyneth Davies , Stijn Vansteelandt

To draw real-world evidence about the comparative effectiveness of multiple time-varying treatments on patient survival, we develop a joint marginal structural survival model and a novel weighting strategy to account for time-varying…

Methodology · Statistics 2023-08-08 Liangyuan Hu , Jiayi Ji , Himanshu Joshi , Erick Scott , Fan Li

We extend Robins' theory of causal inference for complex longitudinal data to the case of continuously varying as opposed to discrete covariates and treatments. In particular we establish versions of the key results of the discrete theory:…

Statistics Theory · Mathematics 2023-05-02 R. D. Gill , J. M. Robins

Epidemiological studies are often concerned with estimating causal effects of a sequence of treatment decisions on survival outcomes. In many settings, treatment decisions do not occur at fixed, pre-specified followup times. Rather, timing…

Methodology · Statistics 2026-01-23 Arman Oganisian

Routinely collected data from electronic health records (EHR) provide opportunities to study effects of longitudinal treatment strategies in real-world clinical settings. A challenge presented by EHR data is that frequency of covariate…

Applications · Statistics 2026-04-14 Leah Pirondini , Karla Diaz-Ordaz , Edward Palmer , Ruth H. Keogh

Unmeasured confounding presents a significant challenge in causal inference from observational studies. Classical approaches often rely on collecting proxy variables, such as instrumental variables. However, in applications where the…

Methodology · Statistics 2025-01-16 Xiaochuan Shi , Dehan Kong , Linbo Wang

Causal inference from observational data requires assumptions. These assumptions range from measuring confounders to identifying instruments. Traditionally, causal inference assumptions have focused on estimation of effects for a single…

Machine Learning · Statistics 2019-03-04 Rajesh Ranganath , Adler Perotte

This article studies the estimation of the causal effect of a time-varying treatment on time-to-an-event or on some other continuously distributed outcome. The paper applies to the situation where treatment is repeatedly adapted to…

Statistics Theory · Mathematics 2008-06-19 Judith J. Lok

Treatment effects can be estimated from observational data as the difference in potential outcomes. In this paper, we address the challenge of estimating the potential outcome when treatment-dose levels can vary continuously over time.…

Machine Learning · Statistics 2017-11-07 Hossein Soleimani , Adarsh Subbaswamy , Suchi Saria

When drawing causal inferences about the effects of multiple treatments on clustered survival outcomes using observational data, we need to address implications of the multilevel data structure, multiple treatments, censoring and unmeasured…

Methodology · Statistics 2022-02-18 Liangyuan Hu , Jiayi Ji , Ronald D. Ennis , Joseph W. Hogan

Performing causal inference in observational studies requires we assume confounding variables are correctly adjusted for. G-computation methods are often used in these scenarios, with several recent proposals using Bayesian versions of…

Methodology · Statistics 2021-10-25 Daniel Daly-Grafstein , Paul Gustafson

Medication adherence is essential to ensure treatment effectiveness, but too often in routine care non-adherence compromises the desired outcome. We explore longitudinal causal modelling using observational data to estimate the time-varying…

Methodology · Statistics 2026-03-10 Xiaoran Liang , Deniz Türkmen , Jane A H Masoli , Luke C Pilling , Jack Bowden

Modern medical research demands specialized causal inference methods evaluating complex continuous-time dynamic treatment regimens using observational data. For instance, obtaining the causal effects of intravenous administration, a…

Methodology · Statistics 2026-04-02 Haiyan Zhu , Yingchun Zhou

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

There are limited options to estimate the treatment effects of variables which are continuous and measured at multiple time points, particularly if the true dose-response curve should be estimated as closely as possible. However, these…

Methodology · Statistics 2024-10-11 Michael Schomaker , Helen McIlleron , Paolo Denti , Iván Díaz
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