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With multiple outcomes in empirical research, a common strategy is to define a composite outcome as a weighted average of the original outcomes. However, the choices of weights are often subjective and can be controversial. We propose an…

Methodology · Statistics 2025-09-17 Wei Zhang , Qizhai Li , Peng Ding

Most causal inference studies rely on the assumption of overlap to estimate population or sample average causal effects. When data exhibit non-overlap, estimation of these estimands requires reliance on model specifications, due to poor…

Methodology · Statistics 2018-09-17 Rachel C. Nethery , Fabrizia Mealli , Francesca Dominici

One of the fundamental challenges in drawing causal inferences from observational studies is that the assumption of no unmeasured confounding is not testable from observed data. Therefore, assessing sensitivity to this assumption's…

Methodology · Statistics 2024-06-25 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

The doubly robust estimator, which models both the propensity score and outcomes, is a popular approach to estimate the average treatment effect in the potential outcome setting. The primary appeal of this estimator is its theoretical…

Methodology · Statistics 2024-09-11 Kaoru Babasaki , Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn

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

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

Weighting methods are essential tools for estimating causal effects in observational studies, with the goal of balancing pre-treatment covariates across treatment groups. Traditional approaches pursue this objective indirectly, for example,…

Methodology · Statistics 2026-02-09 Diptanil Santra , Guanhua Chen , Chan Park

Weighting methods in causal inference have been widely used to achieve a desirable level of covariate balancing. However, the existing weighting methods have desirable theoretical properties only when a certain model, either the propensity…

Machine Learning · Statistics 2023-05-24 Insung Kong , Yuha Park , Joonhyuk Jung , Kwonsang Lee , Yongdai Kim

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

Over the past ten years, propensity score methods have made an important contribution to improving generalizations from studies that do not select samples randomly from a population of inference. However, these methods require assumptions…

Methodology · Statistics 2021-01-26 Wendy Chan

Inverse weighting with an estimated propensity score is widely used by estimation methods in causal inference to adjust for confounding bias. However, directly inverting propensity score estimates can lead to instability, bias, and…

Methodology · Statistics 2025-04-11 Lars van der Laan , Ziming Lin , Marco Carone , Alex Luedtke

Estimating causal effects from observational network data is a significant but challenging problem. Existing works in causal inference for observational network data lack an analysis of the generalization bound, which can theoretically…

Machine Learning · Computer Science 2023-08-09 Ruichu Cai , Zeqin Yang , Weilin Chen , Yuguang Yan , Zhifeng Hao

We propose a one-to-many matching estimator of the average treatment effect based on propensity scores estimated by isotonic regression. This approach is predicated on the assumption of monotonicity in the propensity score function, a…

Econometrics · Economics 2025-01-27 Mengshan Xu , Taisuke Otsu

In observational studies, researchers must select a method to control for confounding. Options include propensity score methods and regression. It remains unclear how dataset characteristics (size, overlap in propensity scores, exposure…

Methodology · Statistics 2022-10-21 J. Wilkinson , M. A. Mamas , E. Kontopantelis

A common goal in observational research is to estimate marginal causal effects in the presence of confounding variables. One solution to this problem is to use the covariate distribution to weight the outcomes such that the data appear…

Methodology · Statistics 2020-08-18 Kevin P. Josey , Elizabeth Juarez-Colunga , Fan Yang , Debashis Ghosh

Propensity score matching has been a long-standing tradition for handling confounding in causal inference, however requiring stringent model assumptions. In this article, we propose double score matching(DSM) for general causal estimands…

Methodology · Statistics 2020-07-07 Shu Yang , Yunshu Zhang

In this paper, we propose a propensity score adapted variable selection procedure to select covariates for inclusion in propensity score models, in order to eliminate confounding bias and improve statistical efficiency in observational…

Methodology · Statistics 2021-09-14 Kangjie Zhou , Jinzhu Jia

Confounding control is crucial and yet challenging for causal inference based on observational studies. Under the typical unconfoundness assumption, augmented inverse probability weighting (AIPW) has been popular for estimating the average…

Methodology · Statistics 2023-01-27 Eunah Cho , Shu Yang

We propose novel estimators for categorical and continuous treatments by using an optimal covariate balancing strategy for inverse probability weighting. The resulting estimators are shown to be consistent and asymptotically normal for…

Methodology · Statistics 2025-09-08 Seong-ho Lee , Yanyuan Ma , Xavier de Luna

Propensity scores are commonly used to reduce the confounding bias in non-randomized observational studies for estimating the average treatment effect. An important assumption underlying this approach is that all confounders that are…

Methodology · Statistics 2022-08-02 Youfei Yu , Jiacong Du , Min Zhang , Zhenke Wu , Andrew M. Ryan , Bhramar Mukherjee
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