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Many treatment variables used in empirical applications nest multiple unobserved versions of a treatment. I show that instrumental variable (IV) estimands for the effect of a composite treatment are IV-specific weighted averages of effects…

General Economics · Economics 2022-11-24 Clint Harris

An instrument is a random variable thatallows the identification of parameters inlinear models when the error terms arenot uncorrelated.It is a popular method used in economicsand the social sciences that reduces theproblem of…

Artificial Intelligence · Computer Science 2013-01-14 Blai Bonet

Consider the problem of estimating the local average treatment effect with an instrument variable, where the instrument unconfoundedness holds after adjusting for a set of measured covariates. Several unknown functions of the covariates…

Methodology · Statistics 2020-09-22 Baoluo Sun , Zhiqiang Tan

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

In many observational studies, researchers are often interested in studying the effects of multiple exposures on a single outcome. Standard approaches for high-dimensional data such as the lasso assume the associations between the exposures…

Methodology · Statistics 2025-11-06 Dingke Tang , Dehan Kong , Linbo Wang

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

The instrumental variable (IV) approach is a widely used way to estimate the causal effects of a treatment on an outcome of interest from observational data with latent confounders. A standard IV is expected to be related to the treatment…

Machine Learning · Computer Science 2022-11-30 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

We derive mean-unbiased estimators for the structural parameter in instrumental variables models with a single endogenous regressor where the sign of one or more first stage coefficients is known. In the case with a single instrument, there…

Applications · Statistics 2016-12-05 Isaiah Andrews , Timothy B. Armstrong

Estimating causal effects of continuous treatments is a common problem in practice, for example, in studying average dose-response functions. Classical analyses typically assume that all confounders are fully observed, whereas in real-world…

Statistics Theory · Mathematics 2026-04-14 Shuyuan Chen , Peng Zhang , Yifan Cui

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

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…

Econometrics · Economics 2026-05-15 Tymon Słoczyński , Liyang Sun , S. Derya Uysal

This paper studies the identifying power of an instrumental variable in the nonparametric heterogeneous treatment effect framework when a binary treatment is mismeasured and endogenous. Using a binary instrumental variable, I characterize…

Statistics Theory · Mathematics 2017-05-22 Takuya Ura

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

Suppose we are interested in the mean of an outcome that is subject to nonignorable nonresponse. This paper develops new semiparametric estimation methods with instrumental variables which affect nonresponse, but not the outcome. The…

Methodology · Statistics 2024-08-20 Baoluo Sun , Wang Miao , Deshanee S. Wickramarachchi

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

Machine Learning · Computer Science 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

With nonignorable nonresponse, an effective method to construct valid estimators of population parameters is to use a covariate vector called instrument that can be excluded from the nonresponse propensity but are still useful covariate…

Methodology · Statistics 2025-09-17 Ji Chen , Jun Shao

Instrumental variables are a popular tool to infer causal effects under unobserved confounding, but choosing suitable instruments is challenging in practice. We propose gIVBMA, a Bayesian model averaging procedure that addresses this…

Methodology · Statistics 2026-03-02 Gregor Steiner , Mark Steel

In observational studies, potential unobserved confounding is a major barrier in isolating the average causal effect (ACE). In these scenarios, two main approaches are often used: confounder adjustment for causality (CAC) and instrumental…

Methodology · Statistics 2024-11-26 Roy S. Zawadzki , Daniel L. Gillen

Uncertainty in the estimation of the causal effect in observational studies is often due to unmeasured confounding, i.e., the presence of unobserved covariates linking treatments and outcomes. Instrumental Variables (IV) are commonly used…

Methodology · Statistics 2019-07-30 M. Usaid Awan , Yameng Liu , Marco Morucci , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

Adjusting for covariates is a well established method to estimate the total causal effect of an exposure variable on an outcome of interest. Depending on the causal structure of the mechanism under study there may be different adjustment…

Statistics Theory · Mathematics 2021-04-27 Jack Kuipers , Giusi Moffa
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