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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…

计量经济学 · 经济学 2025-04-24 Luther Yap

Instrumental variables (IVs), sources of treatment randomization that are conditionally independent of the outcome, play an important role in causal inference with unobserved confounders. However, the existing IV-based counterfactual…

机器学习 · 计算机科学 2022-01-14 Junkun Yuan , Anpeng Wu , Kun Kuang , Bo Li , Runze Wu , Fei Wu , Lanfen Lin

In a causal graphical model, an instrument for a variable X and its effect Y is a random variable that is a cause of X and independent of all the causes of Y except X. (Pearl (1995), Spirtes et al (2000)). Instrumental variables can be used…

统计方法学 · 统计学 2013-01-14 Tianjiao Chu , Richard Scheines , Peter L. Spirtes

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,…

In a linear instrumental variables (IV) setting for estimating the causal effects of multiple confounded exposure/treatment variables on an outcome, we investigate the adaptive Lasso method for selecting valid instrumental variables from a…

统计方法学 · 统计学 2022-08-11 Xiaoran Liang , Eleanor Sanderson , Frank Windmeijer

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

统计方法学 · 统计学 2019-07-04 Zach Branson , Luke Keele

The validity of instrumental variable (IV) designs is typically tested using two types of falsification tests. We characterize these tests as conditional independence tests between negative control variables -- proxies for unobserved…

计量经济学 · 经济学 2025-04-29 Oren Danieli , Daniel Nevo , Itai Walk , Bar Weinstein , Dan Zeltzer

A major challenge in instrumental variables (IV) analysis is to find instruments that are valid, or have no direct effect on the outcome and are ignorable. Typically one is unsure whether all of the putative IVs are in fact valid. We…

统计理论 · 数学 2017-08-10 Zijian Guo , Hyunseung Kang , T. Tony Cai , Dylan S. Small

Instrumental variable methods can identify causal effects even when the treatment and outcome are confounded. We study the problem of imperfect measurements of the binary instrumental variable, treatment or outcome. We first consider…

统计方法学 · 统计学 2019-06-06 Zhichao Jiang , Peng Ding

Instrumental variable (IV) is a powerful approach to inferring the causal effect of a treatment on an outcome of interest from observational data even when there exist latent confounders between the treatment and the outcome. However,…

人工智能 · 计算机科学 2022-06-07 Debo Cheng , Jiuyong Li , Lin Liu , Kui Yu , Thuc Duy Lee , Jixue Liu

Empirical researchers are often interested in not only whether a treatment affects an outcome of interest, but also how the treatment effect arises. Causal mediation analysis provides a formal framework to identify causal mechanisms through…

计量经济学 · 经济学 2022-02-01 Bora Kim

The instrumental variable (IV) design is a common approach to address hidden confounding bias. For validity, an IV must impact the outcome only through its association with the treatment. In addition, IV identification has required a…

We discuss the fundamental issue of identification in linear instrumental variable (IV) models with unknown IV validity. With the assumption of the "sparsest rule", which is equivalent to the plurality rule but becomes operational in…

统计方法学 · 统计学 2023-12-06 Yiqi Lin , Frank Windmeijer , Xinyuan Song , Qingliang Fan

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

统计方法学 · 统计学 2017-06-06 Sai Li

Imitation learning from demonstrations usually suffers from the confounding effects of unmeasured variables (i.e., unmeasured confounders) on the states and actions. If ignoring them, a biased estimation of the policy would be entailed. To…

机器学习 · 计算机科学 2025-07-24 Yan Zeng , Shenglan Nie , Feng Xie , Libo Huang , Peng Wu , Zhi Geng

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…

统计方法学 · 统计学 2018-02-07 Hyunseung Kang , Laura Peck , Luke Keele

We consider the challenging problem of estimating causal effects from purely observational data in the bi-directional Mendelian randomization (MR), where some invalid instruments, as well as unmeasured confounding, usually exist. To address…

统计方法学 · 统计学 2024-07-15 Feng Xie , Zhen Yao , Lin Xie , Yan Zeng , Zhi Geng

Instrumental variable analysis is a widely used method to estimate causal effects in the presence of unmeasured confounding. When the instruments, exposure and outcome are not measured in the same sample, Angrist and Krueger (1992)…

统计理论 · 数学 2018-09-07 Qingyuan Zhao , Jingshu Wang , Jack Bowden , Dylan S. Small

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…

人工智能 · 计算机科学 2013-02-21 Judea Pearl

Instrumental variable approaches have gained popularity for estimating causal effects in the presence of unmeasured confounders. However, the availability of instrumental variables in the primary dataset is often challenged due to stringent…

统计方法学 · 统计学 2026-03-31 Kang Shuai , Shanshan Luo , Wei Li , Yangbo He