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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

The study of causal effects in the presence of unmeasured spatially varying confounders has garnered increasing attention. However, a general framework for identifiability, which is critical for reliable causal inference from observational…

Methodology · Statistics 2026-02-27 Tommy Tang , Xinran Li , Bo Li

In nonseparable triangular models with a binary endogenous treatment and a binary instrumental variable, Vuong and Xu (2017) established identification results for individual treatment effects (ITEs) under the rank invariance assumption.…

Econometrics · Economics 2025-03-10 Jun Ma , Vadim Marmer , Zhengfei Yu

Bipartite experiments arise in various fields, in which the treatments are randomized over one set of units, while the outcomes are measured over another separate set of units. However, existing methods often rely on strong model…

Methodology · Statistics 2025-04-16 Sizhu Lu , Lei Shi , Yue Fang , Wenxin Zhang , Peng Ding

Estimation of heterogeneous treatment effects is an active area of research. Most of the existing methods, however, focus on estimating the conditional average treatment effects of a single, binary treatment given a set of pre-treatment…

Methodology · Statistics 2025-05-30 Max Goplerud , Kosuke Imai , Nicole E. Pashley

This paper develops a unified framework for the identification, estimation, and uniform inference of local treatment effects (LTEs) in sharp regression kink designs (RKDs). These LTEs quantify the effect of a marginal change in the…

Econometrics · Economics 2025-11-03 Zhixin Wang , Zhengyu Zhang

In Regression Discontinuity (RD) design, self-selection leads to different distributions of covariates on two sides of the policy intervention, which essentially violates the continuity of potential outcome assumption. The standard RD…

Methodology · Statistics 2019-11-22 Sida Peng , Yang Ning

Linear regressions with period and group fixed effects are widely used to estimate policies' effects: 26 of the 100 most cited papers published by the American Economic Review from 2015 to 2019 estimate such regressions. It has recently…

Econometrics · Economics 2022-06-22 Clément de Chaisemartin , Xavier D'Haultfœuille

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

In this paper, we study the estimation and inference of the quantile treatment effect under covariate-adaptive randomization. We propose two estimation methods: (1) the simple quantile regression and (2) the inverse propensity score…

Methodology · Statistics 2020-02-26 Yichong Zhang , Xin Zheng

This paper studies the identification of causal effects of a continuous treatment using a new difference-in-difference strategy. Our approach allows for endogeneity of the treatment, and employs repeated cross-sections. It requires an…

Econometrics · Economics 2023-04-18 Xavier D'Haultfoeuille , Stefan Hoderlein , Yuya Sasaki

We study regressions with multiple treatments and a set of controls that is flexible enough to purge omitted variable bias. We show that these regressions generally fail to estimate convex averages of heterogeneous treatment effects --…

Econometrics · Economics 2024-12-31 Paul Goldsmith-Pinkham , Peter Hull , Michal Kolesár

Quantile regression has demonstrated promising utility in longitudinal data analysis. Existing work is primarily focused on modeling cross-sectional outcomes, while outcome trajectories often carry more substantive information in practice.…

Methodology · Statistics 2018-06-19 Huijuan Ma , Limin Peng , Haoda Fu

This paper extends difference-in-differences to settings with continuous treatments. Specifically, the average treatment effect on the treated (ATT) at any level of treatment intensity is identified under a conditional parallel trends…

Econometrics · Economics 2026-01-05 Lucas Z. Zhang

Applied researchers are increasingly interested in whether and how treatment effects vary in randomized evaluations, especially variation not explained by observed covariates. We propose a model-free approach for testing for the presence of…

Methodology · Statistics 2014-12-17 Peng Ding , Avi Feller , Luke Miratrix

We propose a new general approach for estimating the effect of a binary treatment on a continuous and potentially highly skewed response variable, the generalized quantile treatment effect (GQTE). The GQTE is defined as the difference…

Statistics Theory · Mathematics 2015-09-04 Sergio Venturini , Francesca Dominici , Giovanni Parmigiani

This paper shows that the Conditional Quantile Treatment Effect on the Treated can be identified using a combination of (i) a conditional Distributional Difference in Differences assumption and (ii) an assumption on the conditional…

Methodology · Statistics 2017-02-14 Brantly Callaway , Tong Li , Tatsushi Oka

We address a core problem in causal inference: estimating heterogeneous treatment effects using panel data with general treatment patterns. Many existing methods either do not utilize the potential underlying structure in panel data or have…

Machine Learning · Statistics 2024-06-11 Retsef Levi , Elisabeth Paulson , Georgia Perakis , Emily Zhang

Generalized causal effect estimands, including the Mann-Whitney parameter and causal net benefit, provide flexible summaries of treatment effects in randomized experiments with non-Gaussian or multivariate outcomes. We develop a unified…

Methodology · Statistics 2026-02-27 Xinyuan Chen , Fan Li

This paper estimates individual treatment effects in a triangular model with binary--valued endogenous treatments. Following the identification strategy established in Vuong and Xu (2014), we propose a two--stage estimation approach. First,…

Methodology · Statistics 2016-10-28 Qian Feng , Quang Vuong , Haiqing Xu
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