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Multivalued treatments are commonplace in applications. We explore the use of discrete-valued instruments to control for selection bias in this setting. Our discussion revolves around the concept of targeting: which instruments target which…

Econometrics · Economics 2026-05-06 Sokbae Lee , Bernard Salanié

Causal effect estimation seeks to determine the impact of an intervention from observational data. However, the existing causal inference literature primarily addresses treatment effects on frequently occurring events. But what if we are…

Machine Learning · Statistics 2025-06-18 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

Randomized controlled experiments assess new policy impacts on performance metrics to inform launch decisions. Traditional approaches evaluate metrics independently despite correlations, and mixed results (e.g., positive revenue impact,…

Applications · Statistics 2026-01-29 Hoiyi Ng , Guido Imbens

Heterogeneous treatment effect (HTE) estimation is critical in medical research. It provides insights into how treatment effects vary among individuals, which can provide statistical evidence for precision medicine. While most existing…

Machine Learning · Statistics 2025-04-25 Ke Wan , Kensuke Tanioka , Toshio Shimokawa

This paper provides a set of methods for quantifying the robustness of treatment effects estimated using the unconfoundedness assumption (also known as selection on observables or conditional independence). Specifically, we estimate and do…

Econometrics · Economics 2021-01-01 Matthew A. Masten , Alexandre Poirier , Linqi Zhang

To maximize clinical benefit, clinicians routinely tailor treatment to the individual characteristics of each patient, where individualized treatment rules are needed and are of significant research interest to statisticians. In the…

Methodology · Statistics 2021-11-23 Trinetri Ghosh , Yanyuan Ma , Rui Song , Pingshou Zhong

We propose a test-based elastic integrative analysis of the randomized trial and real-world data to estimate treatment effect heterogeneity with a vector of known effect modifiers. When the real-world data are not subject to bias, our…

Methodology · Statistics 2022-11-30 Shu Yang , Chenyin Gao , Donglin Zeng , Xiaofei Wang

Adaptive experiments, including efficient average treatment effect estimation and multi-armed bandit algorithms, have garnered attention in various applications, such as social experiments, clinical trials, and online advertisement…

Methodology · Statistics 2021-03-24 Masahiro Kato

Matching and weighting methods for observational studies involve the choice of an estimand, the causal effect with reference to a specific target population. Commonly used estimands include the average treatment effect in the treated (ATT),…

Methodology · Statistics 2023-07-12 Noah Greifer , Elizabeth A. Stuart

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

Methods for estimating heterogeneous treatment effect in observational data have largely focused on continuous or binary outcomes, and have been relatively less vetted with survival outcomes. Using flexible machine learning methods in the…

Applications · Statistics 2021-07-09 Liangyuan Hu , Jiayi Ji , Fan Li

Heterogeneous treatment effects can be very important in the analysis of randomized clinical trials. Heightened risks or enhanced benefits may exist for particular subsets of study subjects. When the heterogeneous treatment effects are…

Methodology · Statistics 2025-07-25 Richard A. Berk , Matthew Olson , Andreas Buja , Aurelie Ouss

This paper presents a weighted optimization framework that unifies the binary,multi-valued, continuous, as well as mixture of discrete and continuous treatment, under the unconfounded treatment assignment. With a general loss function, the…

Econometrics · Economics 2018-08-20 Chunrong Ai , Oliver Linton , Kaiji Motegi , Zheng Zhang

In many practical situations, randomly assigning treatments to subjects is uncommon due to feasibility constraints. For example, economic aid programs and merit-based scholarships are often restricted to those meeting specific income or…

Evaluating the treatment effects has become an important topic for many applications. However, most existing literature focuses mainly on the average treatment effects. When the individual effects are heavy-tailed or have outlier values,…

Methodology · Statistics 2023-05-11 Yongchang Su , Xinran Li

In many medical and business applications, researchers are interested in estimating individualized treatment effects using data from a randomized experiment. For example in medical applications, doctors learn the treatment effects from…

Methodology · Statistics 2022-03-01 Kevin Wu Han , Han Wu

We consider the task of evaluating policies of algorithmic resource allocation through randomized controlled trials (RCTs). Such policies are tasked with optimizing the utilization of limited intervention resources, with the goal of…

Artificial Intelligence · Computer Science 2023-02-07 Aditya Mate , Bryan Wilder , Aparna Taneja , Milind Tambe

Beyond conditional average treatment effects, treatments may impact the entire outcome distribution in covariate-dependent ways, for example, by altering the variance or tail risks for specific subpopulations. We propose a novel estimand to…

Machine Learning · Statistics 2026-03-18 Saksham Jain , Alex Luedtke

In causal inference, it is common to estimate the causal effect of a single treatment variable on an outcome. However, practitioners may also be interested in the effect of simultaneous interventions on multiple covariates of a fixed target…

Methodology · Statistics 2022-11-24 Jaime Roquero Gimenez , Dominik Rothenhäusler

The health effects of environmental exposures have been studied for decades, typically using standard regression models to assess exposure-outcome associations found in observational non-experimental data. We propose and illustrate a…

Applications · Statistics 2017-09-20 Marie-Abele C. Bind , Donald B. Rubin