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Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable…

统计方法学 · 统计学 2021-11-29 Yukun Liu , Yan Fan

Generalized linear models are often assumed to fit propensity scores, which are used to compute inverse probability weighted (IPW) estimators. In order to derive the asymptotic properties of IPW estimators, the propensity score is supposed…

统计方法学 · 统计学 2017-04-25 Julieta Molina , Mariela Sued , Marina Valdora

The inverse probability of treatment weighting (IPTW) approach is commonly used in propensity score analysis to infer causal effects in regression models. Due to oversized IPTW weights and errors associated with propensity score estimation,…

统计方法学 · 统计学 2021-09-02 Tenglong Li , Jordan Lawson

Micro-randomized trials are commonly conducted for optimizing mobile health interventions such as push notifications for behavior change. In analyzing such trials, causal excursion effects are often of primary interest, and their estimation…

统计方法学 · 统计学 2024-08-19 Yihan Bao , Lauren Bell , Elizabeth Williamson , Claire Garnett , Tianchen Qian

A key methodological challenge in observational studies with interference between units is twofold: (1) each unit's outcome may depend on many others' treatments, and (2) treatment assignments may exhibit complex dependencies across units.…

统计方法学 · 统计学 2025-12-17 Souhardya Sengupta , Kosuke Imai , Georgia Papadogeorgou

In the analysis of observational studies, inverse probability weighting (IPW) is commonly used to consistently estimate the average treatment effect (ATE) or the average treatment effect in the treated (ATT). The variance of the IPW ATE…

统计方法学 · 统计学 2020-11-25 Sarah A. Reifeis , Michael G. Hudgens

We study the problem of estimating the average treatment effect (ATE) under sequentially adaptive treatment assignment mechanisms. In contrast to classical completely randomized designs, we consider a setting in which the probability of…

统计理论 · 数学 2026-05-12 Saikat Sengupta , Koulik Khamaru , Suvrojit Ghosh , Tirthankar Dasgupta

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…

统计方法学 · 统计学 2025-04-11 Lars van der Laan , Ziming Lin , Marco Carone , Alex Luedtke

The propensity score is widely used for causal inference in observational studies, but common parametric estimators can produce biased and inefficient effect estimates when model assumptions are violated. Nonparametric approaches reduce…

统计方法学 · 统计学 2026-04-09 Maosen Peng , Yan Li , Chong Wu , Liang Li

In the causal inference literature an estimator belonging to a class of semi-parametric estimators is called robust if it has desirable properties under the assumption that at least one of the working models is correctly specified. In this…

统计理论 · 数学 2018-06-26 Ingeborg Waernbaum , Laura Pazzagli

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…

统计方法学 · 统计学 2025-09-03 Xintao Xia , Yumou Qiu

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…

统计方法学 · 统计学 2021-09-14 Kangjie Zhou , Jinzhu Jia

In this paper, I try to tame "Basu's elephants" (data with extreme selection on observables). I propose new practical large-sample and finite-sample methods for estimating and inferring heterogeneous causal effects (under unconfoundedness)…

计量经济学 · 经济学 2023-01-20 Ganesh Karapakula

Borrowing external data can improve estimation efficiency but may introduce bias when populations differ in covariate distributions or outcome variability. A proper balance needs to be maintained between the two datasets to justify the…

统计方法学 · 统计学 2026-01-08 Apu Chandra Das , Sakib Salam , Aninda Roy , Rakhi Chowdhury , Antar Chandra Das , Ashim Chandra Das

Estimating the causal treatment effects by subgroups is important in observational studies when the treatment effect heterogeneity may be present. Existing propensity score methods rely on a correctly specified propensity score model. Model…

统计方法学 · 统计学 2024-04-19 Yan Li , Yong-Fang Kuo , Liang Li

A sample covariance matrix $\boldsymbol{S}$ of completely observed data is the key statistic in a large variety of multivariate statistical procedures, such as structured covariance/precision matrix estimation, principal component analysis,…

统计方法学 · 统计学 2021-04-20 Seongoh Park , Xinlei Wang , Johan Lim

Violations of the positivity assumption can render conventional causal estimands unidentifiable, including the average treatment effect (ATE), the average treatment effect on the treated (ATT), and the average treatment effect on the…

统计方法学 · 统计学 2025-11-14 Yi Liu , Yuan Wang , Ying Gao , Tonia Poteat , Roland A. Matsouaka

The idea of covariate balance is at the core of causal inference. Inverse propensity weights play a central role because they are the unique set of weights that balance the covariate distributions of different treatment groups. We discuss…

统计方法学 · 统计学 2021-10-29 Eli Ben-Michael , Avi Feller , David A. Hirshberg , José R. Zubizarreta

Covariate balance is crucial for unconfounded descriptive or causal comparisons. However, lack of balance is common in observational studies. This article considers weighting strategies for balancing covariates. We define a general class of…

统计方法学 · 统计学 2016-09-30 Fan Li , Kari Lock Morgan , Alan M. Zaslavsky

Covariate balance is crucial for unconfounded descriptive or causal comparisons. However, lack of balance is common in observational studies. This article considers weighting strategies for balancing covariates. We define a general class of…

统计方法学 · 统计学 2016-11-17 Fan Li , Kari Lock Morgan , Alan M. Zaslavsky