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One of the fundamental challenges in drawing causal inferences from observational studies is that the assumption of no unmeasured confounding is not testable from observed data. Therefore, assessing sensitivity to this assumption's…

Methodology · Statistics 2024-06-25 Md Abdul Basit , Mahbub A. H. M. Latif , Abdus S Wahed

We provide an approach to exploratory data analysis in matched observational studies with a single intervention and multiple endpoints. In such settings, the researcher would like to explore evidence for actual treatment effects among these…

Methodology · Statistics 2025-12-10 Mengqi Lin , Colin Fogarty

Causal approaches to fairness have seen substantial recent interest, both from the machine learning community and from wider parties interested in ethical prediction algorithms. In no small part, this has been due to the fact that causal…

Machine Learning · Computer Science 2019-08-17 Niki Kilbertus , Philip J. Ball , Matt J. Kusner , Adrian Weller , Ricardo Silva

Design-based frameworks of uncertainty are frequently used in settings where the treatment is (conditionally) randomly assigned. This paper develops a design-based framework suitable for analyzing quasi-experimental settings in the social…

Econometrics · Economics 2025-06-17 Ashesh Rambachan , Jonathan Roth

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

Confounding can lead to spurious associations. Typically, one must observe confounders in order to adjust for them, but in high-dimensional settings, recent research has shown that it becomes possible to adjust even for unobserved…

Methodology · Statistics 2025-10-07 Yujing Lu , Patrick Breheny

Inferring the causal effect of a non-randomly assigned exposure on an outcome requires adjusting for common causes of the exposure and outcome to avoid biased conclusions. Notwithstanding the efforts investigators routinely make to measure…

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

In observational studies, contingency tables provide a simple and intuitive approach to study associations between categorical variables. However, any test of association in contingency tables may be biased due to unmeasured confounders.…

Methodology · Statistics 2025-10-10 Elaine K. Chiu , Hyunseung Kang

This paper develops a robust and efficient method for policy learning from observational data in the presence of unobserved confounding, complementing existing instrumental variable (IV) based approaches. We employ the marginal sensitivity…

Econometrics · Economics 2025-07-29 Zequn Jin , Gaoqian Xu , Xi Zheng , Yahong Zhou

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

A sensitivity analysis in an observational study tests whether the qualitative conclusions of an analysis would change if we were to allow for the possibility of limited bias due to confounding. The design sensitivity of a hypothesis test…

Methodology · Statistics 2024-08-06 Steven R. Howard , Samuel D. Pimentel

Data-driven methods for personalizing treatment assignment have garnered much attention from clinicians and researchers. Dynamic treatment regimes formalize this through a sequence of decision rules that map individual patient…

Methodology · Statistics 2022-02-22 Eric J. Rose , Erica E. M. Moodie , Susan Shortreed

Matching is a commonly used causal inference study design in observational studies. Through matching on measured confounders between different treatment groups, valid randomization inferences can be conducted under the no unmeasured…

Methodology · Statistics 2024-09-20 Jeffrey Zhang , Siyu Heng

In observational studies, the observed association between an exposure and outcome of interest may be distorted by unobserved confounding. Causal sensitivity analysis can be used to assess the robustness of observed associations to…

Methodology · Statistics 2025-11-04 Rui Hu , Ted Westling

Omitted variable bias can affect treatment effect estimates obtained from observational data due to the lack of random assignment to treatment groups. Sensitivity analyses adjust these estimates to quantify the impact of potential omitted…

Methodology · Statistics 2010-11-10 Carrie A. Hosman , Ben B. Hansen , Paul W. Holland

Fairness for machine learning predictions is widely required in practice for legal, ethical, and societal reasons. Existing work typically focuses on settings without unobserved confounding, even though unobserved confounding can lead to…

Machine Learning · Computer Science 2024-10-23 Maresa Schröder , Dennis Frauen , Stefan Feuerriegel

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

A sensitivity analysis in an observational study determines the magnitude of bias from nonrandom treatment assignment that would need to be present to alter the qualitative conclusions of a na\"{\i}ve analysis that presumes all biases were…

Applications · Statistics 2012-03-19 Paul R. Rosenbaum

Unobserved effect modifiers can induce bias when generalizing causal effect estimates to target populations. In this work, we extend a sensitivity analysis framework assessing the robustness of study results to unobserved effect…

Background: The E-value has become widely used for assessing robustness to unmeasured confounding in observational studies, but the original framework was developed for single time-point exposure-outcome settings. This study extends the…

Applications · Statistics 2026-03-02 Md. Niamul Islam Sium