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To estimate the causal effect of an endogenous treatment using clustered data, the canonical two-stage least squares (2sls) estimates a linear regression of the outcome on treatment status using an instrumental variable (IV) and conducts…

统计方法学 · 统计学 2026-04-03 Anqi Zhao , Peng Ding , Fan Li

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…

计量经济学 · 经济学 2024-05-24 Manudeep Bhuller , Henrik Sigstad

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…

计量经济学 · 经济学 2024-12-03 Tom Boot , Didier Nibbering

Two-stage least squares (TSLS) estimators and variants thereof are widely used to infer the effect of an exposure on an outcome using instrumental variables (IVs). They belong to a wider class of two-stage IV estimators, which are based on…

统计方法学 · 统计学 2015-10-08 Stijn Vansteelandt , Vanessa Didelez

Accurately predicting conditional average treatment effects (CATEs) is crucial in personalized medicine and digital platform analytics. Since the treatments of interest often cannot be directly randomized, observational data is leveraged to…

统计方法学 · 统计学 2024-11-05 Miruna Oprescu , Nathan Kallus

It is recommended that measures of between-study effect heterogeneity be reported when conducting individual-participant data meta-analyses (IPD-MA). Methods exist to quantify inconsistency between trials via I^2 (the percentage of…

Randomized experiments are the gold standard for causal inference, and justify simple comparisons across treatment groups. Regression adjustment provides a convenient way to incorporate covariate information for additional efficiency. This…

统计方法学 · 统计学 2022-10-25 Anqi Zhao , Peng Ding

Instrumental variables (IV) methods are central to applied microeconomics. While classical approaches assume linear models with constant effects, recent literature has shifted toward the local average treatment effect (LATE) framework to…

计量经济学 · 经济学 2026-05-15 Tymon Słoczyński , Liyang Sun , S. Derya Uysal

An important task in drug development is to identify patients, which respond better or worse to an experimental treatment. Identifying predictive covariates, which influence the treatment effect and can be used to define subgroups of…

统计方法学 · 统计学 2018-11-27 Marius Thomas , Björn Bornkamp , Katja Ickstadt

For multiple treatments D=0,1,...,J, covariates X and outcome Y, the ordinary least squares estimator (OLS) of Y on (D1,...,DJ,X) is widely applied to a constant-effect linear model, where Dj is the dummy variable for D=j. However, the…

统计方法学 · 统计学 2023-09-14 Myoungjae Lee

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…

计量经济学 · 经济学 2026-02-03 Seojeong Lee

Applied work often studies the effect of a binary variable ("treatment") using linear models with additive effects. I study the interpretation of the OLS estimands in such models when treatment effects are heterogeneous. I show that the…

计量经济学 · 经济学 2020-05-21 Tymon Słoczyński

Many real world networks exhibit edge heterogeneity with different pairs of nodes interacting with different intensities. Further, nodes with similar attributes tend to interact more with each other. Thus, in the presence of observed node…

统计方法学 · 统计学 2024-12-24 Swati Chandna , Benjamin Bagozzi , Snigdhansu Chatterjee

Covariate-specific treatment effects (CSTEs) represent heterogeneous treatment effects across subpopulations defined by certain selected covariates. In this article, we consider marginal structural models where CSTEs are linearly…

统计方法学 · 统计学 2021-05-25 Peng Wu , Zhiqiang Tan , Wenjie Hu , Xiao-Hua Zhou

This paper focuses on the problem of modeling and estimating interaction effects between covariates and a continuous treatment variable on an outcome, using a single-index regression approach. The primary motivation is to estimate an…

统计方法学 · 统计学 2021-02-02 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

Instrumental variable (IV) regression is a strategy for learning causal relationships in observational data. If measurements of input X and output Y are confounded, the causal relationship can nonetheless be identified if an instrumental…

机器学习 · 计算机科学 2020-07-17 Rahul Singh , Maneesh Sahani , Arthur Gretton

In randomized experiments, covariates are often used to reduce variance and improve the precision of treatment effect estimates. However, in many real-world settings, interference between units, where one unit's treatment affects another's…

统计方法学 · 统计学 2026-04-10 Xinyi Wang , Shuangning Li

Individual participant data (IPD) meta-analyses of randomised trials are considered a reliable way to assess participant-level treatment effect modifiers but may not make the best use of the available data. Traditionally, effect modifiers…

Empirical studies using Regression Discontinuity (RD) designs often explore heterogeneous treatment effects based on pretreatment covariates, even though no formal statistical methods exist for such analyses. This has led to the widespread…

计量经济学 · 经济学 2025-07-08 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell , Filippo Palomba , Rocio Titiunik

This paper discusses identification, estimation, and inference on dynamic local average treatment effects (LATEs) in instrumental variables (IVs) settings. First, we show that compliers--observations whose treatment status is affected by…

计量经济学 · 经济学 2025-09-17 Alessandro Casini , Adam McCloskey , Luca Rolla , Raimondo Pala
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