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Samples with a common mean but possibly different, ordered variances arise in various fields such as interlaboratory experiments, field studies or the analysis of sensor data. Estimators for the common mean under ordered variances typically…

Statistics Theory · Mathematics 2019-01-30 Ansgar Steland , Yuan-Tsung Chang

Randomized experiments can provide unbiased estimates of sample average treatment effects. However, estimates of population treatment effects can be biased when the experimental sample and the target population differ. In this case, the…

Methodology · Statistics 2022-11-10 Wenqi Shi , Xi Lin

We develop a new approach for estimating average treatment effects in observational studies with unobserved group-level heterogeneity. We consider a general model with group-level unconfoundedness and provide conditions under which…

Econometrics · Economics 2023-08-31 Dmitry Arkhangelsky , Guido Imbens

Randomized controlled trials (RCTs) face inherent limitations, such as ethical or resource constraints, which lead to a limited number of study participants. To address these limitations, recent research endeavors have sought to incorporate…

Methodology · Statistics 2025-02-20 Peijin Wang , Hwanhee Hong , Kyungeun Jeon , Laine Elliott Thomas

Subgroup analyses of randomized controlled trials (RCTs) constitute an important component of the drug development process in precision medicine. In particular, subgroup analyses of early-stage trials often influence the design and…

Methodology · Statistics 2025-02-12 Daniel Schwartz , Riddhiman Saha , Steffen Ventz , Lorenzo Trippa

Mixture models are a popular tool in model-based clustering. Such a model is often fitted by a procedure that maximizes the likelihood, such as the EM algorithm. At convergence, the maximum likelihood parameter estimates are typically…

Computation · Statistics 2019-07-23 Adrian O'Hagan , Thomas Brendan Murphy , Luca Scrucca , Isobel Claire Gormley

Traditional statistical inference in cluster randomized trials typically invokes the asymptotic theory that requires the number of clusters to approach infinity. In this article, we propose an alternative conformal causal inference…

Methodology · Statistics 2024-10-03 Bingkai Wang , Fan Li , Mengxin Yu

When studying treatment effects in multilevel studies, investigators commonly use (semi-)parametric estimators, which make strong parametric assumptions about the outcome, the treatment, and/or the correlation structure between study units…

Methodology · Statistics 2022-05-12 Chan Park , Hyunseung Kang

Across research disciplines, cluster randomized trials (CRTs) are commonly implemented to evaluate interventions delivered to groups of participants, such as communities and clinics. Despite advances in the design and analysis of CRTs,…

Estimating individual and average treatment effects from observational data is an important problem in many domains such as healthcare and e-commerce. In this paper, we advocate balance regularization of multi-head neural network…

Machine Learning · Computer Science 2020-11-24 Mehrdad Farajtabar , Andrew Lee , Yuanjian Feng , Vishal Gupta , Peter Dolan , Harish Chandran , Martin Szummer

In paired randomized experiments individuals in a given matched pair may differ on prognostically important covariates despite the best efforts of practitioners. We examine the use of regression adjustment as a way to correct for persistent…

Methodology · Statistics 2017-11-27 Colin B. Fogarty

Cluster randomization trials commonly employ multiple endpoints. When a single summary of treatment effects across endpoints is of primary interest, global hypothesis testing/effect estimation methods represent a common analysis strategy.…

Methodology · Statistics 2025-05-19 E. Davies Smith , V. Jairath , G. Zou

In randomized experiments, the actual treatments received by some experimental units may differ from their treatment assignments. This non-compliance issue often occurs in clinical trials, social experiments, and the applications of…

Methodology · Statistics 2022-04-19 Jiyang Ren

This article develops design-based ratio estimators for clustered, blocked randomized controlled trials (RCTs), with an application to a federally funded, school-based RCT testing the effects of behavioral health interventions. We consider…

Methodology · Statistics 2024-05-31 Peter Z. Schochet , Nicole E. Pashley , Luke W. Miratrix , Tim Kautz

In longitudinal panels and other regression models with unobserved effects, fixed effects estimation is often paired with cluster-robust variance estimation (CRVE) in order to account for heteroskedasticity and un-modeled dependence among…

Methodology · Statistics 2022-11-08 James E. Pustejovsky , Elizabeth Tipton

The randomization inference literature studying randomized controlled trials (RCTs) assumes that units' potential outcomes are deterministic. This assumption is unlikely to hold, as stochastic shocks may take place during the experiment. In…

Econometrics · Economics 2022-12-15 Antoine Deeb , Clément de Chaisemartin

In this article, we develop methods for sample size and power calculations in four-level intervention studies when intervention assignment is carried out at any level, with a particular focus on cluster randomized trials (CRTs). CRTs…

Methodology · Statistics 2022-09-07 Xueqi Wang , Elizabeth L. Turner , John S. Preisser , Fan Li

The target trial framework enables causal inference from longitudinal observational data by emulating randomized trials initiated at multiple time points. Precision is often improved by pooling information across trials, with standard…

Methodology · Statistics 2026-01-08 Edoardo Efrem Gervasoni , Liesbet De Bus , Stijn Vansteelandt , Oliver Dukes

In a standard classification framework a set of trustworthy learning data are employed to build a decision rule, with the final aim of classifying unlabelled units belonging to the test set. Therefore, unreliable labelled observations,…

Applications · Statistics 2019-11-20 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy

Linear regression is arguably the most fundamental statistical model; however, the validity of its use in randomized clinical trials, despite being common practice, has never been crystal clear, particularly when stratified or…

Methodology · Statistics 2023-02-14 Wei Ma , Fuyi Tu , Hanzhong Liu