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Studies often report estimates of the average treatment effect. While the ATE summarizes the effect of a treatment on average, it does not provide any information about the effect of treatment within any individual. A treatment strategy…

Methodology · Statistics 2025-06-13 Nicholas T. Williams , Katherine L. Hoffman Iván Díaz , Kara E. Rudolph

This paper proposes a novel approach for estimating treatment effects in panel data settings, addressing key limitations of the standard difference-in-differences (DID) approach. The standard approach relies on the parallel trends…

Econometrics · Economics 2026-01-14 Shoya Ishimaru

We develop flexible, semiparametric estimators of the average treatment effect (ATE) transported to a new population ("target population") that offer potential efficiency gains. Transport may be of value when the ATE may differ across…

Methodology · Statistics 2024-06-07 Kara E. Rudolph , Nicholas T. Williams , Elizabeth A. Stuart , Ivan Diaz

Randomized controlled trials play an important role in how Internet companies predict the impact of policy decisions and product changes. In these `digital experiments', different units (people, devices, products) respond differently to the…

Applications · Statistics 2015-12-21 Matt Taddy , Matt Gardner , Liyun Chen , David Draper

We develop an empirical framework to identify and estimate the effects of treatments on outcomes of interest when the treatments are the result of strategic interaction (e.g., bargaining, oligopolistic entry, peer effects). We consider a…

Econometrics · Economics 2019-09-04 Jorge Balat , Sukjin Han

Suppose that a sequence of treatments are assigned to influence an outcome of interest that occurs after the last treatment. Between treatments there exist time-dependent covariates that may be posttreatment variables of the earlier…

Methodology · Statistics 2015-05-28 Li Yin , Xiaoqin Wang

Estimating individualised treatment effect (ITE) -- that is the causal effect of a set of variables (also called exposures, treatments, actions, policies, or interventions), referred to as \textit{composite treatments}, on a set of outcome…

Machine Learning · Computer Science 2025-12-19 Vinod Kumar Chauhan , Lei Clifton , Gaurav Nigam , David A. Clifton

The growing demand for personalized decision-making has led to a surge of interest in estimating the Conditional Average Treatment Effect (CATE). Various types of CATE estimators have been developed with advancements in machine learning and…

Machine Learning · Computer Science 2024-11-04 Yiyan Huang , Cheuk Hang Leung , Siyi Wang , Yijun Li , Qi Wu

Statistical inference of heterogeneous treatment effects (HTEs) across predefined subgroups is challenging when units interact because treatment effects may vary by pre-treatment variables, post-treatment exposure variables (that measure…

Econometrics · Economics 2024-10-02 Julius Owusu

Conditional quantile treatment effect (CQTE) can provide insight into the effect of a treatment beyond the conditional average treatment effect (CATE). This ability to provide information over multiple quantiles of the response makes CQTE…

Methodology · Statistics 2024-10-17 Josh Givens , Henry W J Reeve , Song Liu , Katarzyna Reluga

Understanding and inferencing Heterogeneous Treatment Effects (HTE) and Conditional Average Treatment Effects (CATE) are vital for developing personalized treatment recommendations. Many state-of-the-art approaches achieve inspiring…

Machine Learning · Computer Science 2024-08-28 Chan Hsu , Jun-Ting Wu , Yihuang Kang

We consider estimation of the target population average treatment effect (TATE) when outcome information is unavailable. Instead, we observe the outcome in multiple source populations and wish to combine the treatment effects therein to…

Methodology · Statistics 2025-05-16 Zehao Su , Helene Charlotte Rytgaard , Henrik Ravn , Frank Eriksson

We propose a difference-in-differences (DiD) framework designed for time-varying continuous treatments across multiple periods. Specifically, we estimate the average treatment effect on the treated (ATET) by comparing distinct non-zero…

Econometrics · Economics 2026-01-16 Michel F. C. Haddad , Martin Huber , José Eduardo Medina-Reyes , Lucas Z. Zhang

While average treatment effects (ATE) and conditional average treatment effects (CATE) provide valuable population- and subgroup-level summaries, they fail to capture uncertainty at the individual level. For high-stakes decision-making,…

Methodology · Statistics 2026-03-31 Juraj Bodik , Yaxuan Huang , Bin Yu

We propose a novel approach for causal mediation analysis based on changes-in-changes assumptions restricting unobserved heterogeneity over time. This allows disentangling the causal effect of a binary treatment on a continuous outcome into…

Econometrics · Economics 2020-10-13 Martin Huber , Mark Schelker , Anthony Strittmatter

Difference-in-differences is based on a parallel trends assumption, which states that changes over time in average potential outcomes are independent of treatment assignment, possibly conditional on covariates. With time-varying treatments,…

Methodology · Statistics 2024-06-25 Nicholas Illenberger , Iván Díaz , Audrey Renson

In this paper, we consider estimation of average treatment effect on the treated (ATT), an interpretable and relevant causal estimand to policy makers when treatment assignment is endogenous. By considering shadow variables that are…

Methodology · Statistics 2026-04-21 Trinetri Ghosh , Jiawei Shan , Menggang Yu , Jiwei Zhao

A central goal of causal inference is to detect and estimate the treatment effects of a given treatment or intervention on an outcome variable of interest, where a member known as the heterogeneous treatment effect (HTE) is of growing…

Statistics Theory · Mathematics 2020-10-27 Zijun Gao , Yanjun Han

Recently, there has been great interest in estimating the conditional average treatment effect using flexible machine learning methods. However, in practice, investigators often have working hypotheses about effect heterogeneity across…

Methodology · Statistics 2023-09-13 Chan Park , Hyunseung Kang

The present paper proposes a new treatment effects estimator that is valid when the number of time periods is small, and the parallel trends condition holds conditional on covariates and unobserved heterogeneity in the form of interactive…

Econometrics · Economics 2023-06-16 Nicholas Brown , Kyle Butts , Joakim Westerlund
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