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We study categorical instrumental variable (IV) models with instrument, treatment, and outcome taking finitely many values. We derive a simple closed-form characterization of the set of joint distributions of potential outcomes that are…

Statistics Theory · Mathematics 2025-11-13 Yilin Song , F. Richard Guo , K. C. Gary Chan , Thomas S. Richardson

This paper investigates the finite sample performance of a range of parametric, semi-parametric, and non-parametric instrumental variable estimators when controlling for a fixed set of covariates to evaluate the local average treatment…

Econometrics · Economics 2022-12-15 Hugo Bodory , Martin Huber , Michael Lechner

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. IV analyses can be used both to analyze randomized trials with noncompliance and as a form of natural experiment. In these analyses,…

Observational studies can play a useful role in assessing the comparative effectiveness of competing treatments. In a clinical trial the randomization of participants to treatment and control groups generally results in well-balanced groups…

Instrumental variable methods provide a powerful approach to estimating causal effects in the presence of unobserved confounding. But a key challenge when applying them is the reliance on untestable "exclusion" assumptions that rule out any…

Methodology · Statistics 2020-06-23 Jason Hartford , Victor Veitch , Dhanya Sridhar , Kevin Leyton-Brown

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 propose a method for defining, identifying, and estimating the marginal treatment effect (MTE) without imposing the instrumental variable (IV) assumptions of independence, exclusion, and separability (or monotonicity). Under a new…

Econometrics · Economics 2026-03-02 Zhewen Pan , Zhengxin Wang , Junsen Zhang , Yahong Zhou

Instrumental variables are commonly used to estimate effects of a treatment afflicted by unmeasured confounding, and in practice instruments are often continuous (e.g., measures of distance, or treatment preference). However, available…

Methodology · Statistics 2018-07-05 Edward H. Kennedy , Scott A. Lorch , Dylan S. Small

To evaluate the effectiveness of a counterfactual policy, it is often necessary to extrapolate treatment effects on compliers to broader populations. This extrapolation relies on exogenous variation in instruments, which is often weak in…

Econometrics · Economics 2026-01-01 Muyang Ren

Causal inference methods are gaining increasing prominence in pharmaceutical drug development in light of the recently published addendum on estimands and sensitivity analysis in clinical trials to the E9 guideline of the International…

Methodology · Statistics 2021-04-30 Jack Bowden , Bjoern Bornkamp , Ekkehard Glimm , Frank Bretz

In many social, behavioral, and biomedical sciences, treatment effect estimation is a crucial step in understanding the impact of an intervention, policy, or treatment. In recent years, an increasing emphasis has been placed on…

Methodology · Statistics 2024-10-10 Xinhai Zhang , Xingye Qiao

The method of instrumental variables (IV) provides a framework to study causal effects in both randomized experiments with noncompliance and in observational studies where natural circumstances produce as-if random nudges to accept…

Methodology · Statistics 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

This paper proposes semi-instrumental variables (semi-IVs) as an alternative to instrumental variables (IVs) to identify the causal effect of a binary (or discrete) endogenous treatment. A semi-IV is a less restrictive form of instrument:…

Econometrics · Economics 2025-09-23 Christophe Bruneel-Zupanc

The Average Treatment Effect (ATE) is a global measure of the effectiveness of an experimental treatment intervention. Classical methods of its estimation either ignore relevant covariates or do not fully exploit them. Moreover, past work…

Methodology · Statistics 2013-11-05 Emil Pitkin , Richard Berk , Lawrence Brown , Andreas Buja , Ed George , Kai Zhang , Linda Zhao

We develop a framework for quantifying omitted variable bias (OVB) in nonlinear instrumental variable (IV) estimators, including the local average treatment effect (LATE), the LATE for the treated (LATT), and the partially linear IV model…

Econometrics · Economics 2026-04-07 Yu-Min Yen

Instrumental variable methods are often used for parameter estimation in the presence of confounding. They can also be applied in stochastic processes. Instrumental variable analysis exploits moment equations to obtain estimators for causal…

Statistics Theory · Mathematics 2023-02-22 Søren Wengel Mogensen

This paper studies identification of the local average and marginal treatment effects (LATE and MTE) with a misclassified binary treatment variable. We derive bounds on the (generalized) LATE and exploit its relationship with the MTE to…

Econometrics · Economics 2024-09-27 Santiago Acerenza , Kyunghoon Ban , Désiré Kédagni

Instrumental variable regression is a common approach for causal inference in the presence of unobserved confounding. However, identifying valid instruments is often difficult in practice. In this paper, we propose a novel method based on…

Methodology · Statistics 2026-01-22 Gregor Steiner , Jeremie Houssineau , Mark F. J. Steel

We study identification and estimation of the average treatment effect in a correlated random coefficients model that allows for first stage heterogeneity and binary instruments. The model also allows for multiple endogenous variables and…

Methodology · Statistics 2014-01-03 Matthew A. Masten , Alexander Torgovitsky

Individualized treatment rules (ITRs) are considered a promising recipe to deliver better policy interventions. One key ingredient in optimal ITR estimation problems is to estimate the average treatment effect conditional on a subject's…

Methodology · Statistics 2021-03-16 Hongming Pu , Bo Zhang