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In multi-site randomized trials with many sites and few randomization units per site, an Empirical-Bayes estimator can be used to estimate the variance of the treatment effect across sites. When this estimator indicates that treatment…

Econometrics · Economics 2024-12-12 Clément de Chaisemartin , Antoine Deeb

It is important to estimate the local average treatment effect (LATE) when compliance with a treatment assignment is incomplete. The previously proposed methods for LATE estimation required all relevant variables to be jointly observed in a…

Machine Learning · Statistics 2022-03-22 Kazuhiko Shinoda , Takahiro Hoshino

The conditional average treatment effect (CATE) is the best measure of individual causal effects given baseline covariates. However, the CATE only captures the (conditional) average, and can overlook risks and tail events, which are…

Machine Learning · Statistics 2025-06-05 Nathan Kallus , Miruna Oprescu

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

Specifications that impose constant treatment effects are common but biased, while fully flexible alternatives can be imprecise or infeasible. Under a bound on treatment effect heterogeneity, we propose a generalized ridge estimator,…

Econometrics · Economics 2026-04-07 Soonwoo Kwon , Liyang Sun

In this paper, we provide efficient estimators and honest confidence bands for a variety of treatment effects including local average (LATE) and local quantile treatment effects (LQTE) in data-rich environments. We can handle very many…

Statistics Theory · Mathematics 2018-01-08 Alexandre Belloni , Victor Chernozhukov , Ivan Fernández-Val , Christian Hansen

When treatment effects are naturally expressed as ratios -- as in medicine, pricing, and marketing -- the ratio-based CATE $\tau(x) = E[Y|W=1,X=x] / E[Y|W=0,X=x]$ is the appropriate estimand. Yet existing estimators either impose a…

Machine Learning · Statistics 2026-05-27 Michael Fuchs , Dominik Kreiss

For counterfactual policy evaluation, it is important to ensure that treatment parameters are relevant to policies in question. This is especially challenging under unobserved heterogeneity, as is well featured in the definition of the…

Econometrics · Economics 2023-08-08 Sukjin Han , Shenshen Yang

Observational cohort studies are increasingly being used for comparative effectiveness research to assess the safety of therapeutics. Recently, various doubly robust methods have been proposed for average treatment effect estimation by…

Methodology · Statistics 2025-03-11 Xiaoqing Tan , Shu Yang , Wenyu Ye , Douglas E. Faries , Ilya Lipkovich , Zbigniew Kadziola

Generalized estimating equation (GEE) is widely adopted for regression modeling for longitudinal data, taking account of potential correlations within the same subjects. Although the standard GEE assumes common regression coefficients among…

Methodology · Statistics 2022-07-11 Tsubasa Ito , Shonosuke Sugasawa

Many treatments or policy interventions are continuous in nature. Examples include prices, taxes or temperatures. Empirical researchers have usually relied on two-way fixed effect regressions to estimate treatment effects in such cases.…

Econometrics · Economics 2024-02-09 Clément de Chaisemartin , Xavier D'Haultfœuille , Gonzalo Vazquez-Bare

Inferring the heterogeneous treatment effect is a fundamental problem in the sciences and commercial applications. In this paper, we focus on estimating Conditional Average Treatment Effect (CATE), that is, the difference in the conditional…

Methodology · Statistics 2021-03-23 Haomiao Meng , Xingye Qiao

Conditional Average Treatment Effect (CATE) estimation, at the heart of counterfactual reasoning, is a crucial challenge for causal modeling both theoretically and applicatively, in domains such as healthcare, sociology, or advertising.…

Machine Learning · Computer Science 2025-01-27 Armand Lacombe , Michèle Sebag

Estimating treatment effects is of great importance for many biomedical applications with observational data. Particularly, interpretability of the treatment effects is preferable for many biomedical researchers. In this paper, we first…

Machine Learning · Statistics 2022-06-28 Kan Chen , Qishuo Yin , Qi Long

This study investigates the estimation and the statistical inference about Conditional Average Treatment Effects (CATEs), which have garnered attention as a metric representing individualized causal effects. In our data-generating process,…

Methodology · Statistics 2024-03-07 Masahiro Kato

Many methods for estimating conditional average treatment effects (CATEs) can be expressed as weighted pseudo-outcome regressions (PORs). Previous comparisons of POR techniques have paid careful attention to the choice of pseudo-outcome…

Methodology · Statistics 2024-02-06 Aaron Fisher

Researchers frequently estimate treatment effects by regressing outcomes (Y) on treatment (D) and covariates (X). Even without unobserved confounding, the coefficient on D yields a conditional-variance-weighted average of strata-wise…

Methodology · Statistics 2025-05-05 Tanvi Shinkre , Chad Hazlett

Estimating the effect of medical treatments on subject responses is one of the crucial problems in medical research. Matched-pairs designs are commonly implemented in the field of medical research to eliminate confounding and improve…

Methodology · Statistics 2017-11-08 Jun Wang , Wei Gao , Man-Lai Tang

How should researchers adjust for covariates? We show that if the propensity score is estimated using a specific covariate balancing approach, inverse probability weighting (IPW), augmented inverse probability weighting (AIPW), and inverse…

Econometrics · Economics 2025-09-23 Tymon Słoczyński , S. Derya Uysal , Jeffrey M. Wooldridge

When estimating treatment effects with two-way fixed effects (2WFE) models, researchers often use matching as a pre-processing step when the parallel trends assumption is thought to hold conditionally on covariates. Specifically, in a first…

Econometrics · Economics 2026-02-17 Yihong Liu , Gonzalo Vazquez-Bare
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