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Consider the problem of estimating average treatment effects when a large number of covariates are used to adjust for possible confounding through outcome regression and propensity score models. The conventional approach of model building…

Statistics Theory · Mathematics 2018-01-31 Zhiqiang Tan

Consider estimation of average treatment effects with multi-valued treatments using augmented inverse probability weighted (IPW) estimators, depending on outcome regression and propensity score models in high-dimensional settings. These…

Methodology · Statistics 2022-01-25 Wenfu Xu , Zhiqiang Tan

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

Methodology · Statistics 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

We study the problem of treatment effect estimation in randomized experiments with high-dimensional covariate information, and show that essentially any risk-consistent regression adjustment can be used to obtain efficient estimates of the…

Methodology · Statistics 2022-06-08 Stefan Wager , Wenfei Du , Jonathan Taylor , Robert Tibshirani

Obtaining valid treatment effect inference remains a challenging problem when dealing with numerous instruments and non-sparse control variables. In this paper, we propose a novel ridge regularization-based instrumental variables method for…

Econometrics · Economics 2025-10-17 Xiduo Chen , Xingdong Feng , Antonio F. Galvao , Yeheng Ge

Eliminating the effect of confounding in observational studies typically involves fitting a model for an outcome adjusted for covariates. When, as often, these covariates are high-dimensional, this necessitates the use of sparse estimators…

Methodology · Statistics 2019-03-26 Oliver Dukes , Stijn Vansteelandt

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

Econometrics · Economics 2022-05-06 Alexander Kreiß , Christoph Rothe

There are many settings where researchers are interested in estimating average treatment effects and are willing to rely on the unconfoundedness assumption, which requires that the treatment assignment be as good as random conditional on…

Methodology · Statistics 2018-02-02 Susan Athey , Guido W. Imbens , Stefan Wager

Plausible identification of conditional average treatment effects (CATEs) may rely on controlling for a large number of variables to account for confounding factors. In these high-dimensional settings, estimation of the CATE requires…

Econometrics · Economics 2023-01-18 Adam Baybutt , Manu Navjeevan

Instrumental variables are widely used to deal with unmeasured confounding in observational studies and imperfect randomized controlled trials. In these studies, researchers often target the so-called local average treatment effect as it is…

Methodology · Statistics 2022-03-24 Linbo Wang , Yuexia Zhang , Thomas S. Richardson , James M. Robins

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

Many estimators of the average effect of a treatment on an outcome require estimation of the propensity score, the outcome regression, or both. It is often beneficial to utilize flexible techniques such as semiparametric regression or…

Methodology · Statistics 2019-05-14 Cheng Ju , David Benkeser , Mark J. van der Laan

Traditional instrumental variable (IV) estimators face a fundamental constraint: they can only accommodate as many endogenous treatment variables as available instruments. This limitation becomes particularly challenging in settings where…

Machine Learning · Computer Science 2025-06-25 Shiangyi Lin , Hui Lan , Vasilis Syrgkanis

Instrumental variable methods are widely used to address unmeasured confounding, yet much of the existing literature has focused on the binary instrument setting. Extensions to continuous instruments often impose strong parametric…

Methodology · Statistics 2025-08-12 Zhenghao Zeng , Alexander W. Levis , JungHo Lee , Edward H. Kennedy , Luke Keele

This paper concerns robust inference on average treatment effects following model selection. In the selection on observables framework, we show how to construct confidence intervals based on a doubly-robust estimator that are robust to…

Statistics Theory · Mathematics 2018-04-13 Max H. Farrell

Consider sensitivity analysis for estimating average treatment effects under unmeasured confounding, assumed to satisfy a marginal sensitivity model. At the population level, we provide new representations for the sharp population bounds…

Methodology · Statistics 2022-09-26 Zhiqiang Tan

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen

Unmeasured confounding is a key threat to reliable causal inference based on observational studies. Motivated from two powerful natural experiment devices, the instrumental variables and difference-in-differences, we propose a new method…

Methodology · Statistics 2021-11-09 Ting Ye , Ashkan Ertefaie , James Flory , Sean Hennessy , Dylan S. Small

Regression discontinuity designs are frequently used to estimate the causal effect of election outcomes and policy interventions. In these contexts, treatment effects are typically estimated with covariates included to improve efficiency.…

Applications · Statistics 2020-05-06 L. Jason Anastasopoulos

Consider semiparametric estimation where a doubly robust estimating function for a low-dimensional parameter is available, depending on two working models. With high-dimensional data, we develop regularized calibrated estimation as a…

Methodology · Statistics 2020-09-28 Satyajit Ghosh , Zhiqiang Tan
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