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Estimating causal effects under exogeneity hinges on two key assumptions: unconfoundedness and overlap. Researchers often argue that unconfoundedness is more plausible when more covariates are included in the analysis. Less discussed is the…

Statistics Theory · Mathematics 2020-01-06 Alexander D'Amour , Peng Ding , Avi Feller , Lihua Lei , Jasjeet Sekhon

We develop a methodology for conducting inference on extreme quantiles of unobserved individual heterogeneity (e.g., heterogeneous coefficients, treatment effects) in panel data and meta-analysis settings. Inference is challenging in such…

Econometrics · Economics 2026-02-04 Vladislav Morozov

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

Unobserved heterogeneous treatment effects have been emphasized in recent policy evaluation literature. In this paper, we extend Lu and White (2014)'s testing method for unobserved heterogeneous treatment effects by developing nonparametric…

Methodology · Statistics 2016-11-22 YuChin Hsu , TaCheng Huang , Haiqing Xu

In the context of a binary outcome, treatment, and instrument, Balke and Pearl (1993, 1997) es- tablish that the monotonicity condition of Imbens and Angrist (1994) has no identifying power beyond instrument exogeneity for average potential…

Econometrics · Economics 2026-02-10 Yuehao Bai , Shunzhuang Huang , Sarah Moon , Azeem M. Shaikh , Edward J. Vytlacil

Causal inference from observational data requires assumptions. These assumptions range from measuring confounders to identifying instruments. Traditionally, causal inference assumptions have focused on estimation of effects for a single…

Machine Learning · Statistics 2019-03-04 Rajesh Ranganath , Adler Perotte

Unobserved heterogeneous treatment effects have been emphasized in the recent policy evaluation literature (see e.g., Heckman and Vytlacil, 2005). This paper proposes a nonparametric test for unobserved heterogeneous treatment effects in a…

Econometrics · Economics 2021-08-17 Yu-Chin Hsu , Ta-Cheng Huang , Haiqing Xu

A standard assumption in the Bayesian estimation of linear regression models is that the regressors are exogenous in the sense that they are uncorrelated with the model error term. In practice, however, this assumption can be invalid. In…

Econometrics · Economics 2026-03-10 Siddhartha Chib , Minchul Shin , Anna Simoni

Optogenetics is a powerful neuroscience technique for studying how neural circuit manipulation affects behavior. Standard analysis conventions discard information and severely limit the scope of the causal questions that can be probed. To…

Methodology · Statistics 2025-07-02 Gabriel Loewinger , Alexander W. Levis , Francisco Pereira

This paper is concerned with learning decision makers' preferences using data on observed choices from a finite set of risky alternatives. We propose a discrete choice model with unobserved heterogeneity in consideration sets and in…

Econometrics · Economics 2021-01-07 Levon Barseghyan , Francesca Molinari , Matthew Thirkettle

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

Estimating treatment effects conditional on observed covariates can improve the ability to tailor treatments to particular individuals. Doing so effectively requires dealing with potential confounding, and also enough data to adequately…

Multidimensional heterogeneity and endogeneity are important features of models with multiple treatments. We consider a heterogeneous coefficients model where the outcome is a linear combination of dummy treatment variables, with each…

Econometrics · Economics 2021-11-23 Whitney K. Newey , Sami Stouli

We investigate the estimation of the causal effect of a treatment variable on an outcome in the presence of a latent confounder. We first show that the causal effect is identifiable under certain conditions when data is available from…

Artificial Intelligence · Computer Science 2025-06-16 Yaroslav Kivva , Sina Akbari , Saber Salehkaleybar , Negar Kiyavash

We introduce a novel method for estimating and conducting inference about extreme quantile treatment effects (QTEs) in the presence of endogeneity. Our approach is applicable to a broad range of empirical research designs, including…

Econometrics · Economics 2024-09-09 Yuya Sasaki , Yulong Wang

In this paper I derive a set of testable implications for econometric models defined by three assumptions: (i) the existence of strictly exogenous discrete instruments, (ii) restrictions on how the instruments affect adoption of a finite…

Econometrics · Economics 2026-01-22 Ricardo E. Miranda

In the causal adjustment setting, variable selection techniques based on either the outcome or treatment allocation model can result in the omission of confounders or the inclusion of spurious variables in the propensity score. We propose a…

Statistics Theory · Mathematics 2014-06-06 Ashkan Ertefaie , Masoud Asgharian , David A. Stephens

We study causal inference in sample selection models where a continuous or multivalued treatment affects both outcome and their observability (eg., employment or survey response). We generalized the widely used Lee (2009)'s bounds for…

Econometrics · Economics 2025-10-29 Ying-Ying Lee , Chu-An Liu

This paper deals with the estimation of exogeneous peer effects for partially observed networks under the new inferential paradigm of design identification, which characterizes the missing data challenge arising with sampled networks with…

Econometrics · Economics 2022-08-22 Mamadou Yauck

Endogeneity poses significant challenges in causal inference across various research domains. This paper proposes a novel approach to identify and estimate causal effects in the presence of endogeneity. We consider a structural equation…

Methodology · Statistics 2025-08-26 Ruoyu Wang , Wang Miao