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Causal inference analyses often use existing observational data, which in many cases has some clustering of individuals. In this paper we discuss propensity score weighting methods in a multilevel setting where within clusters individuals…

Applications · Statistics 2020-12-24 Youjin Lee , Trang Q. Nguyen , Elizabeth A. Stuart

Cross-level interactions among fixed effects in linear mixed models (also known as multilevel models) are often complicated by the variances stemming from random effects and residuals. When these variances change across clusters, tests of…

Methodology · Statistics 2022-03-18 Ting Wang , Edgar C. Merkle , Joaquin A. Anguera , Brandon M. Turner

To answer a question, language models often need to integrate prior knowledge learned during pretraining and new information presented in context. We hypothesize that models perform this integration in a predictable way across different…

Computation and Language · Computer Science 2024-06-18 Kevin Du , Vésteinn Snæbjarnarson , Niklas Stoehr , Jennifer C. White , Aaron Schein , Ryan Cotterell

Multilevel models (mixed-effect models or hierarchical linear models) are now a standard approach to analysing clustered and longitudinal data in the social, behavioural and medical sciences. This review article focuses on multilevel linear…

Methodology · Statistics 2019-07-16 George Leckie

Conditioning on variables affected by treatment can induce post-treatment bias when estimating causal effects. Although this suggests that researchers should measure potential moderators before administering the treatment in an experiment,…

Methodology · Statistics 2025-09-24 Matthew Blackwell , Jacob R. Brown , Sophie Hill , Kosuke Imai , Teppei Yamamoto

Neural Posterior Estimation methods for simulation-based inference can be ill-suited for dealing with posterior distributions obtained by conditioning on multiple observations, as they tend to require a large number of simulator calls to…

Machine Learning · Computer Science 2023-07-11 Tomas Geffner , George Papamakarios , Andriy Mnih

Estimating treatment effects conditional on observed covariates can improve the ability to tailor treatments to particular individuals. Doing so effectively requires dealing with potential confounding, and also enough data to adequately…

In many health policy settings, adaptive interventions target a population of clusters (e.g., schools), with the ultimate intent of impacting outcomes at the level of individuals within the clusters. Health policy researchers can use…

Estimating heterogeneous treatment effects with machine learning has attracted substantial attention in both academic research and industrial practice. However, the two communities often evaluate models under markedly different conditions.…

Machine Learning · Computer Science 2026-05-26 George Panagopoulos

Disparate treatment occurs when a machine learning model yields different decisions for individuals based on a sensitive attribute (e.g., age, sex). In domains where prediction accuracy is paramount, it could potentially be acceptable to…

Machine Learning · Computer Science 2022-04-15 Hao Wang , Hsiang Hsu , Mario Diaz , Flavio P. Calmon

Does reviewing previous answers during multiple-choice exams help examinees increase their final score? This article formalizes the question using a rigorous causal framework, the potential outcomes framework. Viewing examinees' reviewing…

Applications · Statistics 2019-10-16 Yongnam Kim

Conditioning on some set of confounders that causally affect both treatment and outcome variables can be sufficient for eliminating bias introduced by all such confounders when estimating causal effect of the treatment on the outcome from…

Methodology · Statistics 2018-04-24 Priyantha Wijayatunga

In multicenter randomized trials, when effect modifiers have a different distribution across centers, comparisons between treatment groups that average over centers may not apply to any of the populations underlying the individual centers.…

Common machine learning settings range from supervised tasks, where accurately labeled data is accessible, through semi-supervised and weakly-supervised tasks, where target labels are scant or noisy, to unsupervised tasks where labels are…

Machine Learning · Computer Science 2025-04-22 Yogev Kriger , Shai Fine

Randomized trials are often conducted with separate randomizations across multiple sites such as schools, voting districts, or hospitals. These sites can differ in important ways, including the site's implementation, local conditions, and…

Methodology · Statistics 2018-03-19 Lo-Hua Yuan , Avi Feller , Luke W. Miratrix

Note: A revised version of this is now published. Please cite and read (it's open access): Van Mechelen, I., Boulesteix, A.-L., Dangl, R., Dean, N., Hennig, C., Leisch, F., Steinley, D., Warrens, M. J. (2023). A white paper on good research…

In medical, social, and behavioral research we often encounter datasets with a multilevel structure and multiple correlated dependent variables. These data are frequently collected from a study population that distinguishes several…

Methodology · Statistics 2023-12-18 Xynthia Kavelaars , Joris Mulder , Maurits Kaptein

Researchers are often interested in treatment effects on outcomes that are only defined conditional on a post-treatment event status. For example, in a study of the effect of different cancer treatments on quality of life at end of…

Score-based diffusion models have emerged as one of the most promising frameworks for deep generative modelling. In this work we conduct a systematic comparison and theoretical analysis of different approaches to learning conditional…

Machine Learning · Computer Science 2021-11-29 Georgios Batzolis , Jan Stanczuk , Carola-Bibiane Schönlieb , Christian Etmann

Where performance comparison of healthcare providers is of interest, characteristics of both patients and the health condition of interest must be balanced across providers for a fair comparison. This is unlikely to be feasible within…

Methodology · Statistics 2019-09-04 Wendy J. Harrison , Paul D. Baxter , Mark S. Gilthorpe
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