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Across research disciplines, cluster randomized trials (CRTs) are commonly implemented to evaluate interventions delivered to groups of participants, such as communities and clinics. Despite advances in the design and analysis of CRTs,…

Estimation of the Average Treatment Effect (ATE) is often carried out in 2 steps, wherein the first step, the treatment and outcome are modeled, and in the second step the predictions are inserted into the ATE estimator. In the first steps,…

Methodology · Statistics 2023-07-21 Mehdi Rostami , Olli Saarela

Mixed outcome endpoints that combine multiple continuous and discrete components to form co-primary, multiple primary or composite endpoints are often employed as primary outcome measures in clinical trials. There are many advantages to…

Methodology · Statistics 2019-12-12 Martina McMenamin , Jessica K. Barrett , Anna Berglind , James M. S. Wason

Missing covariate data commonly occur in epidemiological and clinical research, and are often dealt with using multiple imputation (MI). Imputation of partially observed covariates is complicated if the substantive model is non-linear (e.g.…

Methodology · Statistics 2014-02-17 Jonathan W. Bartlett , Shaun R. Seaman , Ian R. White , James R. Carpenter

Instrumental variables (IVs) are widely used to estimate causal effects from non-randomized data. A canonical example is a randomized trial with noncompliance, in which the randomized treatment assignment serves as an IV for the…

Methodology · Statistics 2026-02-06 Rui Wang , Ying-Qi Zhao , Oliver Dukes , Bo Zhang

Trial-based cost-effectiveness analyses (CEAs) are an important source of evidence in the assessment of health interventions. In these studies, cost and effectiveness outcomes are commonly measured at multiple time points, but some…

Methodology · Statistics 2022-03-30 Andrea Gabrio , Catrin Plumpton , Sube Banerjee , Baptiste Leurent

Bridging the gap between internal and external validity is crucial for heterogeneous treatment effect estimation. Randomised controlled trials (RCTs), favoured for their internal validity due to randomisation, often encounter challenges in…

Unlike the commonly used parametric regression models such as mixed models, that can easily violate the required statistical assumptions and result in invalid statistical inference, target maximum likelihood estimation allows more realistic…

Applications · Statistics 2020-06-17 Chi Zhang , Jennifer Ahern , Mark J. van der Laan

We propose the instrumental variable regime (IVR) method to estimate the causal effects of multiple sequential treatments. This method serves to address the problem of endogenous selections of sequential treatments. An IVR is a sequence of…

Methodology · Statistics 2017-02-21 Thai Pham , Weixin Chen

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen

Longitudinal targeted maximum likelihood estimation (LTMLE) has very rarely been used to estimate dynamic treatment effects in the context of time-dependent confounding affected by prior treatment when faced with long follow-up times,…

I set up a potential outcomes framework to analyze spillover effects using instrumental variables. I characterize the population compliance types in a setting in which spillovers can occur on both treatment take-up and outcomes, and provide…

Econometrics · Economics 2021-12-15 Gonzalo Vazquez-Bare

Propensity score matching (PSM) has been widely used to mitigate confounding in observational studies, although complications arise when the covariates used to estimate the PS are only partially observed. Multiple imputation (MI) is a…

Applications · Statistics 2021-07-22 Albee Y. Ling , Maria E. Montez-Rath , Maya B. Mathur , Kris Kapphahn , Manisha Desai

Randomized clinical trials (RCTs) are ideal for estimating causal effects, because the distributions of background covariates are similar in expectation across treatment groups. When estimating causal effects using observational data,…

Methodology · Statistics 2019-02-27 Anthony D. Scotina , Roee Gutman

While sample sizes in randomized clinical trials are large enough to estimate the average treatment effect well, they are often insufficient for estimation of treatment-covariate interactions critical to studying data-driven precision…

Machine Learning · Statistics 2020-04-22 Steve Yadlowsky , Fabio Pellegrini , Federica Lionetto , Stefan Braune , Lu Tian

Background: Existing guidelines for handling missing data are generally not consistent with the goals of prediction modelling, where missing data can occur at any stage of the model pipeline. Multiple imputation (MI), often heralded as the…

Methodology · Statistics 2022-06-27 Rose Sisk , Matthew Sperrin , Niels Peek , Maarten van Smeden , Glen P. Martin

The ICH E9(R1) Addendum (International Council for Harmonization 2019) suggests treatment-policy as one of several strategies for addressing intercurrent events such as treatment withdrawal when defining an estimand. This strategy requires…

Methodology · Statistics 2023-08-28 Suzie Cro , James H Roger , James R Carpenter

Multiple imputation (MI) is a popular method for handling missing data. Auxiliary variables can be added to the imputation model(s) to improve MI estimates. However, the choice of which auxiliary variables to include in the imputation model…

We revisit the classical causal inference problem of estimating the average treatment effect in the presence of fully observed confounding variables using two-stage semiparametric methods. In existing theoretical studies of methods such as…

Methodology · Statistics 2022-05-23 Steve Yadlowsky

Robust decision making involves making decisions in the presence of uncertainty and is often used in critical domains such as healthcare, supply chains, and finance. Causality plays a crucial role in decision-making as it predicts the…

Methodology · Statistics 2025-07-23 Saideep Nannapaneni , Joseph Sakaya , Kyle Caron , Pedro HM Albuquerque , Zaid Tashman