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Traditional methods for covariate adjustment of treatment means in designed experiments are inherently conditional on the observed covariate values. In order to develop a coherent general methodology for analysis of covariance, we propose a…

Methodology · Statistics 2010-01-19 James G. Booth , Walter T. Federer , Martin T. Wells , Russell D. Wolfinger

I review recent work in the statistics literature on instrumental variables methods from an econometrics perspective. I discuss some of the older, economic, applications including supply and demand models and relate them to the recent…

Methodology · Statistics 2014-10-02 Guido W. Imbens

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

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 paper considers a linear regression model with an endogenous regressor which arises from a nonlinear transformation of a latent variable. It is shown that the corresponding coefficient can be consistently estimated without external…

Econometrics · Economics 2023-11-08 Jörg Breitung , Alexander Mayer , Dominik Wied

What is the difference of a prediction that is made with a causal model and a non-causal model? Suppose we intervene on the predictor variables or change the whole environment. The predictions from a causal model will in general work as…

Methodology · Statistics 2024-04-27 Jonas Peters , Peter Bühlmann , Nicolai Meinshausen

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

We suggest two nonparametric approaches, based on kernel methods and orthogonal series to estimating regression functions in the presence of instrumental variables. For the first time in this class of problems, we derive optimal convergence…

Statistics Theory · Mathematics 2007-06-13 Peter Hall , Joel L. Horowitz

Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number of instruments has to exceed the number…

Methodology · Statistics 2018-06-19 Dominik Rothenhäusler , Peter Bühlmann , Nicolai Meinshausen

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

The interpretation of coefficients from multivariate linear regression relies on the assumption that the conditional expectation function is linear in the variables. However, in many cases the underlying data generating process is…

Econometrics · Economics 2025-12-16 Nadav Kunievsky

We consider debiased inference on finite-dimensional functionals of infinite-dimensional least-squares solutions to inverse problems as a way to avoid having to assume exact solutions exist. Such assumptions are substantive and not…

Machine Learning · Statistics 2026-05-27 Zikai Shen , Nathan Kallus , Dimitri Meunier , Houssam Zenati , Arthur Gretton , Aurélien Bibaut

In causal models, a given mechanism is assumed to be invariant to changes of other mechanisms. While this principle has been utilized for inference in settings where the causal variables are observed, theoretical insights when the variables…

Machine Learning · Statistics 2023-12-07 Simon Bing , Jonas Wahl , Urmi Ninad , Jakob Runge

We develop and analyze algorithms for instrumental variable regression by viewing the problem as a conditional stochastic optimization problem. In the context of least-squares instrumental variable regression, our algorithms neither require…

Machine Learning · Statistics 2024-05-31 Xuxing Chen , Abhishek Roy , Yifan Hu , Krishnakumar Balasubramanian

Endogeneity bias and instrument variable validation have always been important topics in statistics and econometrics. In the era of big data, such issues typically combine with dimensionality issues and, hence, require even more attention.…

Machine Learning · Statistics 2020-12-17 Ning Xu , Timothy C. G. Fisher , Jian Hong

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

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

Regression models are essential for a wide range of real-world applications. However, in practice, target values are not always precisely known; instead, they may be represented as intervals of acceptable values. This challenge has led to…

Machine Learning · Computer Science 2025-12-08 Tung L Nguyen , Toby Dylan Hocking

This study introduces a data-driven, machine learning-based method to detect suitable control variables and instruments for assessing the causal effect of a treatment on an outcome in observational data. Our approach tests the joint…

Econometrics · Economics 2026-05-20 Nicolas Apfel , Julia Hatamyar , Martin Huber , Jannis Kueck

Indirect inference requires simulating realisations of endogenous variables from the model under study. When the endogenous variables are discontinuous functions of the model parameters, the resulting indirect inference criterion function…

Economics · Quantitative Finance 2019-07-11 David T. Frazier , Tatsushi Oka , Dan Zhu
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