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Matching and weighting methods for observational studies involve the choice of an estimand, the causal effect with reference to a specific target population. Commonly used estimands include the average treatment effect in the treated (ATT),…

Methodology · Statistics 2023-07-12 Noah Greifer , Elizabeth A. Stuart

Causal mediation analysis aims at disentangling a treatment effect into an indirect mechanism operating through an intermediate outcome or mediator, as well as the direct effect of the treatment on the outcome of interest. However, the…

Econometrics · Economics 2020-05-05 Martin Huber , Lukáš Lafférs

Estimating the prevalence of a medical condition, or the proportion of the population in which it occurs, is a fundamental problem in healthcare and public health. Accurate estimates of the relative prevalence across groups -- capturing,…

Computers and Society · Computer Science 2023-12-13 Divya Shanmugam , Kaihua Hou , Emma Pierson

In observational studies, confounding variables affect both treatment and outcome. Moreover, instrumental variables also influence the treatment assignment mechanism. This situation sets the study apart from a standard randomized controlled…

Machine Learning · Statistics 2025-07-18 Atomsa Gemechu Abdisa , Yingchun Zhou , Yuqi Qiu

The use of propensity score (PS) methods has become ubiquitous in causal inference. At the heart of these methods is the positivity assumption. Violation of the positivity assumption leads to the presence of extreme PS weights when…

Methodology · Statistics 2024-05-21 Yi Liu , Huiyue Li , Yunji Zhou , Roland Matsouaka

The identification of causal effects in observational studies typically relies on two standard assumptions: unconfoundedness and overlap. However, both assumptions are often questionable in practice: unconfoundedness is inherently…

Methodology · Statistics 2025-09-17 Han Cui , Xinran Li

In causal inference confounding may be controlled either through regression adjustment in an outcome model, or through propensity score adjustment or inverse probability of treatment weighting, or both. The latter approaches, which are…

Methodology · Statistics 2017-01-17 Olli Saarela , Léo R. Belzile , David A. Stephens

The finite sample variance of an inverse propensity weighted estimator is derived in the case of discrete control variables with finite support. The obtained expressions generally corroborate widely-cited asymptotic theory showing that…

Methodology · Statistics 2023-05-19 Andrew Herren , P. Richard Hahn

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…

Inverse propensity weighting (IPW) is a popular method for estimating treatment effects from observational data. However, its correctness relies on the untestable (and frequently implausible) assumption that all confounders have been…

Statistics Theory · Mathematics 2023-08-04 Jacob Dorn , Kevin Guo

In observational studies, covariate imbalance generates confounding, resulting in biased comparisons. Although propensity score-based weighting approaches facilitate unconfounded group comparisons for implicit target populations, existing…

Methodology · Statistics 2023-07-03 Subharup Guha , David C. Christiani , Yi Li

A powerful tool for the analysis of nonrandomized observational studies has been the potential outcomes model. Utilization of this framework allows analysts to estimate average treatment effects. This article considers the situation in…

Statistics Theory · Mathematics 2019-05-31 Debashis Ghosh , Efrén Cruz-Cortés

Learning individualized treatment rules (ITRs) is an important topic in precision medicine. Current literature mainly focuses on deriving ITRs from a single source population. We consider the observational data setting when the source…

Machine Learning · Statistics 2023-07-04 Rui Chen , Jared D. Huling , Guanhua Chen , Menggang Yu

In this chapter, we review the class of causal effects based on incremental propensity scores interventions proposed by Kennedy [2019]. The aim of incremental propensity score interventions is to estimate the effect of increasing or…

Methodology · Statistics 2021-10-22 Matteo Bonvini , Alec McClean , Zach Branson , Edward H. Kennedy

Clinical study populations often differ meaningfully from the broader populations to which results are intended to generalize. Weighting methods such as inverse probability of sampling weights (IPSW) reweight study participants to resemble…

Methodology · Statistics 2025-12-02 William Stewart , Carly L. Brantner , Elizabeth A. Stuart , Laine Thomas

Estimating average causal effect (ACE) is useful whenever we want to know the effect of an intervention on a given outcome. In the absence of a randomized experiment, many methods such as stratification and inverse propensity weighting have…

Machine Learning · Computer Science 2019-07-11 Rathin Desai , Amit Sharma

Causal inference is widely used in various fields, such as biology, psychology and economics, etc. In observational studies, we need to balance the covariates before estimating causal effect. This study extends the one-dimensional entropy…

Methodology · Statistics 2022-05-19 Juan Chen , Yingchun Zhou

Causal decomposition analyses can help build the evidence base for interventions that address health disparities (inequities). They ask how disparities in outcomes may change under hypothetical intervention. Through study design and…

Methodology · Statistics 2020-09-17 John W. Jackson

Causal inference, or counterfactual prediction, is central to decision making in healthcare, policy and social sciences. To de-bias causal estimators with high-dimensional data in observational studies, recent advances suggest the…

Machine Learning · Statistics 2020-10-20 Shuxi Zeng , Serge Assaad , Chenyang Tao , Shounak Datta , Lawrence Carin , Fan Li

In this paper, we develop a multiply robust inference procedure of the average treatment effect (ATE) for data with high-dimensional covariates. We consider the case where it is difficult to correctly specify a single parametric model for…

Methodology · Statistics 2025-09-03 Xintao Xia , Yumou Qiu