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This paper studies a potential outcome model with a continuous or discrete outcome, a discrete multi-valued treatment, and a discrete multi-valued instrument. We derive sharp, closed-form testable implications for a class of restrictions on…

Econometrics · Economics 2025-11-19 Yuehao Bai , Shunzhuang Huang , Max Tabord-Meehan

This paper considers inference in a linear instrumental variable regression model with many potentially weak instruments, in the presence of heterogeneous treatment effects. I first show that existing test procedures, including those that…

Econometrics · Economics 2025-04-24 Luther Yap

The hypothesis of homogeneous treatment effects is central to the instrumental variables literature. This assumption signifies that treatment effects are constant across all subjects. It allows to interpret instrumental variable estimates…

Econometrics · Economics 2023-04-17 Jad Beyhum , Jean-Pierre Florens , Elia Lapenta , Ingrid Van Keilegom

To estimate causal effects from observational data, an applied researcher must impose beliefs. The instrumental variables exclusion restriction, for example, represents the belief that the instrument has no direct effect on the outcome of…

Econometrics · Economics 2020-11-17 Francis J. DiTraglia , Camilo Garcia-Jimeno

Inferring causal relationships from observational data is often challenging due to endogeneity. This paper provides new identification results for causal effects of discrete, ordered and continuous treatments using multiple binary…

Econometrics · Economics 2024-10-21 Nadja van 't Hoff

This paper studies the identifying content of the instrument monotonicity assumption of Imbens and Angrist (1994) on the distribution of potential outcomes in a model with a binary outcome, a binary treatment and an exogenous binary…

Econometrics · Economics 2019-10-17 Vishal Kamat

We develop a novel test of the instrumental variable identifying assumptions for heterogeneous treatment effect models with conditioning covariates. We assume semiparametric dependence between potential outcomes and conditioning covariates.…

Econometrics · Economics 2023-09-19 Thomas Carr , Toru Kitagawa

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

Econometrics · Economics 2026-05-20 Martin Huber , Jannis Kueck

Certain causal models involving unmeasured variables induce no independence constraints among the observed variables but imply, nevertheless, inequality contraints on the observed distribution. This paper derives a general formula for such…

Artificial Intelligence · Computer Science 2013-02-21 Judea Pearl

This paper provides a general framework for testing instrument validity in heterogeneous causal effect models. The generalization includes the cases where the treatment can be multivalued ordered or unordered. Based on a series of testable…

Econometrics · Economics 2023-10-11 Zhenting Sun

When a researcher combines multiple instrumental variables for a single binary treatment, the monotonicity assumption of the local average treatment effects (LATE) framework can become restrictive: it requires that all units share a common…

Econometrics · Economics 2024-03-27 Leonard Goff

In this paper, we propose a simple method for testing identifying assumptions in parametric separable models, namely treatment exogeneity, instrument validity, and/or homoskedasticity. We show that the testable implications can be written…

Econometrics · Economics 2024-10-17 Leonard Goff , Désiré Kédagni , Huan Wu

Multivalued treatment models have typically been studied under restrictive assumptions: ordered choice, and more recently unordered monotonicity. We show how treatment effects can be identified in a more general class of models that allows…

Econometrics · Economics 2018-05-02 Sokbae Lee , Bernard Salanié

Instrumental variables are widely used for estimating causal effects in the presence of unmeasured confounding. The discrete instrumental variable model has testable implications on the law of the observed data. However, current assessments…

Methodology · Statistics 2016-11-22 Linbo Wang , James M. Robins , Thomas S. Richardson

Instrumental variables have been widely used to estimate the causal effect of a treatment on an outcome. Existing confidence intervals for causal effects based on instrumental variables assume that all of the putative instrumental variables…

Methodology · Statistics 2020-06-03 Hyunseung Kang , Youjin Lee , T. Tony Cai , Dylan S. Small

Instrumental variables are a popular study design for the estimation of treatment effects in the presence of unobserved confounders. In the canonical instrumental variables design, the instrument is a binary variable. In many settings,…

Methodology · Statistics 2024-10-10 Prabrisha Rakshit , Alexander Levis , Luke Keele

We address the issue of the testability of instrumental variables derived from observational data. Most existing testable implications are centered on scenarios where the treatment is a discrete variable, e.g., instrumental inequality…

Methodology · Statistics 2026-03-13 Xichen Guo , Zheng Li , Biwei Huang , Yan Zeng , Zhi Geng , Feng Xie

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

In the standard difference-in-differences research design, the parallel trends assumption may be violated when the relationship between the exposure trend and the outcome trend is confounded by unmeasured confounders. Progress can be made…

Instrumental variables (IVs) are widely used to study the causal effect of an exposure on an outcome in the presence of unmeasured confounding. IVs require an instrument, a variable that is (A1) associated with the exposure, (A2) has no…

Methodology · Statistics 2024-07-30 Hyunseung Kang , Zijian Guo , Zhonghua Liu , Dylan Small
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