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In observational studies, causal inference relies on several key identifying assumptions. One identifiability condition is the positivity assumption, which requires the probability of treatment be bounded away from 0 and 1. That is, for…

Methodology · Statistics 2022-02-21 Yaqian Zhu , Nandita Mitra , Jason Roy

Investigators are increasingly using novel methods for extending (generalizing or transporting) causal inferences from a trial to a target population. In many generalizability and transportability analyses, the trial and the observational…

Methodology · Statistics 2022-09-20 Yu-Han Chiu , Issa J. Dahabreh

Causal Machine Learning has emerged as a powerful tool for flexibly estimating causal effects from observational data in both industry and academia. However, causal inference from observational data relies on untestable assumptions about…

Causally interpretable meta-analysis combines information from a collection of randomized controlled trials to estimate treatment effects in a target population in which experimentation may not be possible but covariate information can be…

Methodology · Statistics 2022-05-03 Jon A. Steingrimsson , David H. Barker , Ruofan Bie , Issa J. Dahabreh

We consider an empirical likelihood framework for inference for a statistical model based on an informative sampling design. Covariate information is incorporated both through the weights and the estimating equations. The estimator is based…

Methodology · Statistics 2019-05-03 Sanjay Chaudhuri , Mark S. Handcock

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

Machine Learning · Computer Science 2024-09-13 Antti Pöllänen , Pekka Marttinen

The case$^2$ study, also referred to as the case-case study design, is a valuable approach for conducting inference for treatment effects. Unlike traditional case-control studies, the case$^2$ design compares treatment in two types of cases…

Methodology · Statistics 2025-03-03 Kan Chen , Ting Ye , Dylan S. Small

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.…

We introduce several methods for assessing sensitivity to unmeasured confounding in marginal structural models; importantly we allow treatments to be discrete or continuous, static or time-varying. We consider three sensitivity models: a…

Methodology · Statistics 2022-10-12 Matteo Bonvini , Edward Kennedy , Valerie Ventura , Larry Wasserman

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

Methodology · Statistics 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

The accuracy of probability distributions inferred using machine-learning algorithms heavily depends on data availability and quality. In practical applications it is therefore fundamental to investigate the robustness of a statistical…

Machine Learning · Statistics 2018-10-01 Christiane Goergen , Manuele Leonelli

While observational data are routinely used to estimate causal effects of biomedical treatments, doing so requires special methods to adjust for observed confounding. These methods invariably rely on untestable statistical and causal…

Methodology · Statistics 2026-03-02 Arman Oganisian

Nowadays, the numerical models of real-world structures are more precise, more complex and, of course, more time-consuming. Despite the growth of a computational effort, the exploration of model behaviour remains a complex task. The…

Computational Engineering, Finance, and Science · Computer Science 2014-10-17 Eliska Janouchova , Anna Kucerova

Sensitivity analysis is widely used to assess the robustness of causal conclusions in observational studies, yet its interaction with the structure of measured covariates is often overlooked. When latent confounders cannot be directly…

Methodology · Statistics 2026-02-17 Abhinandan Dalal , Iris Horng , Yang Feng , Dylan S. Small

The study of causality or causal inference - how much a given treatment causally affects a given outcome in a population - goes way beyond correlation or association analysis of variables, and is critical in making sound data driven…

Databases · Computer Science 2017-08-09 Sudeepa Roy , Babak Salimi

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

Methodology · Statistics 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

As the use of machine learning in high impact domains becomes widespread, the importance of evaluating safety has increased. An important aspect of this is evaluating how robust a model is to changes in setting or population, which…

Machine Learning · Computer Science 2021-03-16 Adarsh Subbaswamy , Roy Adams , Suchi Saria

A predictive model makes outcome predictions based on some given features, i.e., it estimates the conditional probability of the outcome given a feature vector. In general, a predictive model cannot estimate the causal effect of a feature…

Machine Learning · Computer Science 2023-04-11 Jiuyong Li , Lin Liu , Ziqi Xu , Ha Xuan Tran , Thuc Duy Le , Jixue Liu

Despite the impressive prediction ability, machine learning models show discrimination towards certain demographics and suffer from unfair prediction behaviors. To alleviate the discrimination, extensive studies focus on eliminating the…

Machine Learning · Computer Science 2023-07-11 Chia-Yuan Chang , Yu-Neng Chuang , Kwei-Herng Lai , Xiaotian Han , Xia Hu , Na Zou

Unmeasured confounding may undermine the validity of causal inference with observational studies. Sensitivity analysis provides an attractive way to partially circumvent this issue by assessing the potential influence of unmeasured…

Statistics Theory · Mathematics 2015-07-15 Peng Ding , Tyler VanderWeele