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Non-adherence to assigned treatment is a common issue in cluster randomised trials (CRTs). In these settings, the efficacy estimand may be also of interest. Many methodological contributions in recent years have advocated using instrumental…

Methodology · Statistics 2018-12-05 Schadrac C. Agbla , Bianca De Stavola , Karla DiazOrdaz

Treatment effect heterogeneity with respect to covariates is common in instrumental variable (IV) analyses. An intuitive approach, which we call the interacted two-stage least squares (2sls), is to postulate a working linear model of the…

Methodology · Statistics 2026-03-03 Anqi Zhao , Peng Ding , Fan Li

In theory, two-stage least squares (TSLS) identifies a weighted average of covariate-specific local average treatment effects (LATEs) from a saturated specification, without making parametric assumptions on how available covariates enter…

Econometrics · Economics 2024-12-03 Tom Boot , Didier Nibbering

Under treatment effect heterogeneity, an instrument identifies the instrument-specific local average treatment effect (LATE). With multiple instruments, two-stage least squares (2SLS) estimand is a weighted average of different LATEs. What…

Econometrics · Economics 2026-02-03 Seojeong Lee

We study what two-stage least squares (2SLS) identifies in models with multiple treatments under treatment effect heterogeneity. Two conditions are shown to be necessary and sufficient for the 2SLS to identify positively weighted sums of…

Econometrics · Economics 2024-05-24 Manudeep Bhuller , Henrik Sigstad

Cluster randomized trials (CRTs) randomly assign an intervention to groups of individuals (e.g., clinics or communities) and measure outcomes on individuals in those groups. While offering many advantages, this experimental design…

Under an endogenous binary treatment with heterogeneous effects and multiple instruments, we propose a two-step procedure for identifying complier groups with identical local average treatment effects (LATE) despite relying on distinct…

Econometrics · Economics 2023-11-01 Nicolas Apfel , Helmut Farbmacher , Rebecca Groh , Martin Huber , Henrika Langen

Estimating heterogeneous treatment effects is critical in domains such as personalized medicine, resource allocation, and policy evaluation. A central challenge lies in identifying subpopulations that respond differently to interventions,…

Machine Learning · Statistics 2025-09-18 Zilong Wang , Turgay Ayer , Shihao Yang

In a given randomized experiment, individuals are often volunteers and can differ in important ways from a population of interest. It is thus of interest to focus on the sample at hand. This paper focuses on inference about the sample local…

Methodology · Statistics 2024-09-23 Zhen Zhong , Per Johansson , Junni L. Zhang

Patients in clinical studies often exhibit heterogeneous treatment effect (HTE). Classical subgroup analyses provide inferential tools to test for effect modification, while modern machine learning methods estimate the Conditional Average…

Applications · Statistics 2026-01-05 Nan Miles Xi , Xin Huang , Lin Wang

This note develops a simple two-stage least squares (2SLS) procedure to estimate the causal effect of some endogenous regressors on a randomly right censored outcome in the linear model. The proposal replaces the usual ordinary least…

Statistics Theory · Mathematics 2021-10-12 Jad Beyhum

Stepped wedge cluster randomized controlled trials are typically analyzed using models that assume the full effect of the treatment is achieved instantaneously. We provide an analytical framework for scenarios in which the treatment effect…

Methodology · Statistics 2025-09-25 Avi Kenny , Emily Voldal , Fan Xia , Patrick J. Heagerty , James P. Hughes

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

We address a core problem in causal inference: estimating heterogeneous treatment effects using panel data with general treatment patterns. Many existing methods either do not utilize the potential underlying structure in panel data or have…

Machine Learning · Statistics 2024-06-11 Retsef Levi , Elisabeth Paulson , Georgia Perakis , Emily Zhang

A recent literature has shown that when adoption of a treatment is staggered and average treatment effects vary across groups and over time, difference-in-differences regression does not identify an easily interpretable measure of the…

Econometrics · Economics 2022-07-14 John Gardner

We often seek to estimate the impact of an exposure naturally occurring or randomly assigned at the cluster-level. For example, the literature on neighborhood determinants of health continues to grow. Likewise, community randomized trials…

Methodology · Statistics 2021-07-08 Laura B. Balzer , Wenjing Zheng , Mark J. van der Laan , Maya L. Petersen

Instrumental variable (IV) analysis is widely used in fields such as economics and epidemiology to address unobserved confounding and measurement error when estimating the causal effects of intermediate covariates on outcomes. However,…

Methodology · Statistics 2025-09-16 Zian Zhuang , Hua Zhou , Jin Zhou , Gang Li

This paper studies variable selection and post-selection inference for high-dimensional clustered data using marginal-model-based procedures. We show that, when covariates are heterogeneously distributed across clusters, marginal-model…

Methodology · Statistics 2026-05-26 Shangyuan Ye , Cong Zhang , Ying Chen , Ye Liang , Guanbo Wang

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

This paper provides estimation and inference methods for a conditional average treatment effects (CATE) characterized by a high-dimensional parameter in both homogeneous cross-sectional and unit-heterogeneous dynamic panel data settings. In…

Machine Learning · Statistics 2022-12-13 Vira Semenova , Matt Goldman , Victor Chernozhukov , Matt Taddy
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