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When estimating an effect of an action with a randomized or observational study, that study is often not a random sample of the desired target population. Instead, estimates from that study can be transported to the target population.…

Positivity violations, which occur when some subgroups either always or never receive a treatment of interest, pose significant challenges for causal effect estimation with observational data. Recent balancing weight methods have proved to…

Methodology · Statistics 2025-12-17 Martha Barnard , Jared D. Huling , Julian Wolfson

Introduction: Accounting for missing data by imputing or weighting conditional on covariates relies on the variable with missingness being observed at least some of the time for all unique covariate values. This requirement is referred to…

Applications · Statistics 2025-10-16 Paul N Zivich , Bonnie E Shook-Sa , Stephen R Cole , Eric T Lofgren , Jessie K Edwards

This paper proposes new estimators for the propensity score that aim to maximize the covariate distribution balance among different treatment groups. Heuristically, our proposed procedure attempts to estimate a propensity score model by…

Econometrics · Economics 2020-04-07 Pedro H. C. Sant'Anna , Xiaojun Song , Qi Xu

The positivity assumption is central in the identification of a causal effect, and especially the stochastic variant is an issue many applied researchers face, yet is rarely discussed, especially in conjunction with continuous treatments or…

Applications · Statistics 2026-02-03 Katharina Ring , Michael Schomaker

When examining a contrast between two interventions, longitudinal causal inference studies frequently encounter positivity violations when one or both regimes are impossible to observe for some subjects. Existing weighting methods either…

Methodology · Statistics 2025-08-11 Alec McClean , Iván Díaz

Enhancing the external validity of trial results is essential for their applicability to real-world populations. However, violations of the positivity assumption can limit both the generalizability and transportability of findings. To…

Methodology · Statistics 2025-04-22 Jun Lu , Sanjib Basu

In evidence synthesis, effect modifiers are typically described as variables that induce treatment effect heterogeneity at the individual level, through treatment-covariate interactions in an outcome model parametrized at such level. As…

Methodology · Statistics 2026-05-07 Antonio Remiro-Azócar

Matching a nonprobability sample to a probability sample is one strategy both for selecting the nonprobability units and for weighting them. This approach has been employed in the past to select subsamples of persons from a large panel of…

Methodology · Statistics 2021-12-03 Zhan Liu , Richard Valliant

In observational studies, causal inference relies on several key identifying assumptions. One identifiability condition is the positivity assumption, which requires the probability of treatment be bounded away from 0 and 1. That is, for…

Methodology · Statistics 2022-02-21 Yaqian Zhu , Nandita Mitra , Jason Roy

Over the past few decades, statistical methods for causal inference have made impressive strides, enabling progress across a range of scientific fields. However, much of this methodological development has been confined to individual…

Methodology · Statistics 2025-09-30 Wenqi Shi , José R. Zubizarreta

Background: It has long been advised to account for baseline covariates in the analysis of confirmatory randomised trials, with the main statistical justifications being that this increases power and, when a randomisation scheme balanced…

Methodology · Statistics 2021-12-09 Tim P. Morris , A. Sarah Walker , Elizabeth J. Williamson , Ian R. White

This paper develops an empirical balancing approach for the estimation of treatment effects under two-sided noncompliance using a binary conditionally independent instrumental variable. The method weighs both treatment and outcome…

Econometrics · Economics 2020-07-10 Phillip Heiler

The inverse probability weighting approach is popular for evaluating treatment effects in observational studies, but extreme propensity scores could bias the estimator and induce excessive variance. Recently, the overlap weighting approach…

Methodology · Statistics 2022-06-22 Chao Cheng , Fan Li , Laine Thomas , Fan Li

While much of the causal inference literature has focused on addressing internal validity biases, both internal and external validity are necessary for unbiased estimates in a target population of interest. However, few generalizability…

Methodology · Statistics 2023-04-07 Irina Degtiar , Tim Layton , Jacob Wallace , Sherri Rose

We present methods for causally interpretable meta-analyses that combine information from multiple randomized trials to estimate potential (counterfactual) outcome means and average treatment effects in a target population. We consider…

We focus on the problem of generalizing a causal effect estimated on a randomized controlled trial (RCT) to a target population described by a set of covariates from observational data. Available methods such as inverse propensity sampling…

Methodology · Statistics 2023-02-27 Imke Mayer , Julie Josse , Traumabase Group

There has been a recent surge in statistical methods for handling the lack of adequate positivity when using inverse probability weights (IPW). However, these nascent developments have raised a number of questions. Thus, we demonstrate the…

Methodology · Statistics 2024-02-05 Roland A. Matsouaka , Yi Liu , Yunji Zhou

Marginal and conditional summary measures do not generally coincide, have different interpretations and correspond to different decision questions. While these aspects have primarily been recognized for non-collapsible summary measures,…

Collaboration between different data centers is often challenged by heterogeneity across sites. To account for the heterogeneity, the state-of-the-art method is to re-weight the covariate distributions in each site to match the distribution…

Machine Learning · Statistics 2024-04-25 Tianyu Guo , Sai Praneeth Karimireddy , Michael I. Jordan
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