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For binary experimental data, we discuss randomization-based inferential procedures that do not need to invoke any modeling assumptions. We also introduce methods for likelihood and Bayesian inference based solely on the physical…

Methodology · Statistics 2017-05-25 Peng Ding , Luke W. Miratrix

Inferring the causal effect of a treatment on an outcome in an observational study requires adjusting for observed baseline confounders to avoid bias. However, adjusting for all observed baseline covariates, when only a subset are…

Methodology · Statistics 2021-02-04 Wen Wei Loh , Stijn Vansteelandt

This paper proposes new nonparametric diagnostic tools to assess the asymptotic validity of different treatment effects estimators that rely on the correct specification of the propensity score. We derive a particular restriction relating…

Methodology · Statistics 2019-02-11 Pedro H. C. Sant'Anna , Xiaojun Song

Predictive or treatment selection biomarkers are usually evaluated in a subgroup or regression analysis with focus on the treatment-by-marker interaction. Under a potential outcome framework (Huang, Gilbert and Janes [Biometrics 68 (2012)…

Applications · Statistics 2015-02-04 Zhiwei Zhang , Lei Nie , Guoxing Soon , Aiyi Liu

Causal inference methods are widely applied in the fields of medicine, policy, and economics. Central to these applications is the estimation of treatment effects to make decisions. Current methods make binary yes-or-no decisions based on…

Machine Learning · Computer Science 2020-04-24 Will Y. Zou , Smitha Shyam , Michael Mui , Mingshi Wang , Jan Pedersen , Zoubin Ghahramani

Propensity score weighting is a tool for causal inference to adjust for measured confounders in observational studies. In practice, data often present complex structures, such as clustering, which make propensity score modeling and…

Methodology · Statistics 2017-03-20 Shu Yang

In this paper, we develop new methods for estimating average treatment effects in observational studies, focusing on settings with more than two treatment levels under unconfoundedness given pre-treatment variables. We emphasize…

Methodology · Statistics 2017-10-11 Shu Yang , Guido W. Imbens , Zhanglin Cui , Douglas Faries , Zbigniew Kadziola

Propensity score weighting is a common method for estimating treatment effects with survey data. The method is applied to minimize confounding using measured covariates that are often different between individuals in treatment and control.…

Methodology · Statistics 2026-02-06 Yukang Zeng , Fan Li , Guangyu Tong

The estimation of heterogeneous treatment effects in the potential outcome setting is biased when there exists model misspecification or unobserved confounding. As these biases are unobservable, what model to use when remains a critical…

Methodology · Statistics 2024-05-09 Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn , Edoardo M. Airoldi

We develop methodology for causal inference in observational studies when using propensity score subclassification on data constructed with probabilistic record linkage techniques. We focus on scenarios where covariates and binary treatment…

Methodology · Statistics 2018-04-03 Joan Heck Wortman , Jerome P. Reiter

We study the causal effect with a functional treatment variable, where practical applications often arise in neuroscience, biomedical sciences, etc. Previous research concerning the effect of a functional variable on an outcome is typically…

Methodology · Statistics 2025-05-20 Ruoxu Tan , Wei Huang , Zheng Zhang , Guosheng Yin

This paper investigates the theoretical foundation and develops analytical formulas for sample size and power calculations for causal inference with observational data. By analyzing the variance of an inverse probability weighting estimator…

Methodology · Statistics 2026-05-19 Bo Liu , Chengxin Yang , Fan Li

In network settings, interference between units makes causal inference more challenging as outcomes may depend on the treatments received by others in the network. Typical estimands in network settings focus on treatment effects aggregated…

Methodology · Statistics 2025-07-25 Heejong Bong , Colin B. Fogarty , Elizaveta Levina , Ji Zhu

Causal effect estimation is a critical task in statistical learning that aims to find the causal effect on subjects by identifying causal links between a number of predictor (or, explanatory) variables and the outcome of a treatment. In a…

Methodology · Statistics 2024-11-26 Tathagata Basu , Matthias C. M. Troffaes

We study identification and estimation of causal effects in settings with panel data. Traditionally researchers follow model-based identification strategies relying on assumptions governing the relation between the potential outcomes and…

Econometrics · Economics 2022-02-18 Dmitry Arkhangelsky , Guido W. Imbens

We present a general framework for Bayesian inference of causal effects that delivers provably robust inferences founded on design-based randomization of treatments. The framework involves fixing the observed potential outcomes and forming…

Methodology · Statistics 2025-11-04 Easton Huch , Fred Feinberg , Walter Dempsey

Causal inference relies on the untestable assumption of no unmeasured confounding. Sensitivity analysis can be used to quantify the impact of unmeasured confounding on causal estimates. Among sensitivity analysis methods proposed in the…

Methodology · Statistics 2026-03-12 Yushu Zou , Liangyuan Hu , Amanda Ricciuto , Mark Deneau , Kuan Liu

Motivated by inferring cellular signaling networks using noisy flow cytometry data, we develop procedures to draw inference for Bayesian networks based on error-prone data. Two methods for inferring causal relationships between nodes in a…

Methodology · Statistics 2020-02-11 Xianzheng Huang , Hongmei Zhang

In this paper, we propose a propensity score adapted variable selection procedure to select covariates for inclusion in propensity score models, in order to eliminate confounding bias and improve statistical efficiency in observational…

Methodology · Statistics 2021-09-14 Kangjie Zhou , Jinzhu Jia

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
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