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Common causal estimands include the average treatment effect (ATE), the average treatment effect of the treated (ATT), and the average treatment effect on the controls (ATC). Using augmented inverse probability weighting methods, parametric…

Methodology · Statistics 2022-09-23 Roland A. Matsouaka , Yi Liu , Yunji Zhou

The weighted average treatment effect (WATE) is a causal measure for the comparison of interventions in a specific target population, which may be different from the population where data are sampled from. For instance, when the goal is to…

Methodology · Statistics 2018-04-17 Yebin Tao , Haoda Fu

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…

Methodology · Statistics 2020-11-25 Sarah A. Reifeis , Michael G. Hudgens

Propensity score (PS) methods are widely used to estimate treatment effects in non-randomized studies. Variance is typically estimated using sandwich or bootstrap methods, which can either treat the PS as estimated or fixed. The latter is…

Methodology · Statistics 2025-11-17 Baoshan Zhang , Sean M. O'Brien , Yuan Wu , Laine E. Thomas

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…

Methodology · Statistics 2025-11-14 Yi Liu , Yuan Wang , Ying Gao , Tonia Poteat , Roland A. Matsouaka

Existing weighting methods for treatment effect estimation are often built upon the idea of propensity scores or covariate balance. They usually impose strong assumptions on treatment assignment or outcome model to obtain unbiased…

Machine Learning · Computer Science 2023-05-09 Dongcheng Zhang , Kunpeng Zhang

In this paper, we study the estimation and inference of the quantile treatment effect under covariate-adaptive randomization. We propose two estimation methods: (1) the simple quantile regression and (2) the inverse propensity score…

Methodology · Statistics 2020-02-26 Yichong Zhang , Xin Zheng

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

This paper develops a variance estimation framework for matching estimators that enables valid population inference for treatment effects. We provide theoretical analysis of a variance estimator that addresses key limitations in the…

Methodology · Statistics 2025-06-16 Xiang Meng , Aaron Smith , Luke Miratrix

In this paper we study a bootstrap strategy for estimating the variance of a mean taken over large multifactor crossed random effects data sets. We apply bootstrap reweighting independently to the levels of each factor, giving each…

Methodology · Statistics 2012-09-28 Art B. Owen , Dean Eckles

We consider Targeted Maximum Likelihood Estimation (TMLE) of weighted average treatment effects (WATEs), a class of causal estimands that reweight the covariate distribution using a specified function of the propensity score. This class…

Statistics Theory · Mathematics 2026-04-02 Yang Liu , Patrick Lopatto , Ivana Malenica

Meta-analyses require an effect-size estimate and its corresponding sampling variance from primary studies. In some cases, estimators for the sampling variance of a given effect size statistic may not exist, necessitating the derivation of…

Randomized controlled trials are the standard method for estimating causal effects, ensuring sufficient statistical power and confidence through adequate sample sizes. However, achieving such sample sizes is often challenging. This study…

Methodology · Statistics 2025-03-28 Keisuke Hanada , Masahiro Kojima

Datasets from field experiments with covariate-adaptive randomizations (CARs) usually contain extra covariates in addition to the strata indicators. We propose to incorporate these additional covariates via auxiliary regressions in the…

Econometrics · Economics 2022-09-07 Liang Jiang , Peter C. B. Phillips , Yubo Tao , Yichong Zhang

This paper proposes a new non-parametric bootstrap method to quantify the uncertainty of average treatment effect estimate for the treated from matching estimators. More specifically, it seeks to quantify the uncertainty associated with the…

Methodology · Statistics 2024-08-21 Jing Li

In causal inference, the Inverse Probability Weighting (IPW) estimator is commonly used to estimate causal effects for estimands within the class of Weighted Average Treatment Effect (WATE). When constructing confidence intervals (CIs),…

Methodology · Statistics 2023-12-14 Shunichiro Orihara

In many practical situations, randomly assigning treatments to subjects is uncommon due to feasibility constraints. For example, economic aid programs and merit-based scholarships are often restricted to those meeting specific income or…

We study variants of the average treatment effect on the treated with population parameters replaced by their sample counterparts. For each estimand, we derive the limiting distribution with respect to a semiparametric efficient estimator…

Methodology · Statistics 2024-02-12 Andrew Yiu

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

Missing data is a common challenge in biomedical research. This fact, along with growing dataset volumes of the modern era, make the issue of computationally-efficient analysis with missing data of crucial practical importance. A general…

Methodology · Statistics 2022-04-22 Giorgos Bakoyannis , Philani B. Mpofu , Andrea Broyles , Brian B. Dixon
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