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The hazard ratio is routinely used as a summary measure to assess the treatment effect in clinical trials with time-to-event endpoints. It is frequently assumed as constant over time although this assumption often does not hold. When the…

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

Methodology · Statistics 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici

Multilevel regression and poststratification (MRP) is a flexible modeling technique that has been used in a broad range of small-area estimation problems. Traditionally, MRP studies have been focused on non-causal settings, where estimating…

Methodology · Statistics 2022-01-24 Yuxiang Gao , Lauren Kennedy , Daniel Simpson

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

Statistics Theory · Mathematics 2019-12-24 Natsuki Kariya , Sumio Watanabe

In clinical and epidemiological studies, hazard ratios are often applied to compare treatment effects between two groups for survival data. For competing risks data, the corresponding quantities of interest are cause-specific hazard ratios…

Applications · Statistics 2021-12-21 Hongji Wu , Hao Yuan , Zijing Yang , Yawen Hou , Zheng Chen

We abstract the concept of a randomized controlled trial (RCT) as a triple (beta,b,s), where beta is the primary efficacy parameter, b the estimate and s the standard error (s>0). The parameter beta is either a difference of means, a log…

Methodology · Statistics 2020-12-01 Erik van Zwet , Simon Schwab , Stephen Senn

Randomized controlled trials are the gold standard for measuring causal effects. However, they are often not always feasible, and causal treatment effects must be estimated from observational data. Observational studies do not allow robust…

The survey experiment is widely used in economics and social sciences to evaluate the effects of treatments or programs. In a standard population-based survey experiment, the experimenter randomly draws experimental units from a target…

Methodology · Statistics 2026-05-11 Pengfei Tian , Jiyang Ren , Yingying Ma

In clinical trials studying paired parts of a subject with binary outcomes, it is expected to collect measurements bilaterally. However, there are cases where subjects contribute measurements for only one part. By utilizing combined data,…

Applications · Statistics 2024-03-06 Shuyi Liang , Kai-Tai Fang , Xin-Wei Huang , Yijing Xin , Chang-Xing Ma

When evaluating the effectiveness of a drug, a Randomized Controlled Trial (RCT) is often considered the gold standard due to its perfect randomization. While RCT assures strong internal validity, its restricted external validity poses…

Applications · Statistics 2024-06-07 Kuan Jiang , Xin-xing Lai , Shu Yang , Ying Gao , Xiao-Hua Zhou

We present new results for consistency of maximum likelihood estimators with a focus on multivariate mixed models. Our theory builds on the idea of using subsets of the full data to establish consistency of estimators based on the full…

Statistics Theory · Mathematics 2019-02-13 Karl Oskar Ekvall , Galin L. Jones

In Randomised Controlled Trials (RCT) with treatment non-compliance, instrumental variable approaches are used to estimate complier average causal effects. We extend these approaches to cost-effectiveness analyses, where methods need to…

Methodology · Statistics 2016-12-02 Karla DiazOrdaz , Angelo Franchini , Richard Grieve

We consider the problem of generating confidence sets in randomized experiments with noncompliance. We show that a refinement of a randomization-based procedure proposed by Imbens and Rosenbaum (2005) has desirable properties. Namely, we…

Statistics Theory · Mathematics 2025-02-11 P. M. Aronow , Haoge Chang , Patrick Lopatto

In multisite trials, researchers are often interested in several inferential goals: estimating treatment effects for each site, ranking these effects, and studying their distribution. This study seeks to identify optimal methods for…

Methodology · Statistics 2024-04-03 JoonHo Lee , Jonathan Che , Sophia Rabe-Hesketh , Avi Feller , Luke Miratrix

Identifying and characterizing relationships between treatments, exposures, or other covariates and time-to-event outcomes has great significance in a wide range of biomedical settings. In research areas such as multi-center clinical…

Methodology · Statistics 2025-04-02 Hillary M. Heiling , Naim U. Rashid , Quefeng Li , Xianlu L. Peng , Jen Jen Yeh

This paper examines the use of Monte Carlo simulations to understand statistical concepts in A/B testing and Randomized Controlled Trials (RCTs). We discuss the applicability of simulations in understanding false positive rates and estimate…

Applications · Statistics 2024-11-12 Márton Trencséni

The efficacy of an intervention can be assessed by randomizing patients to different diagnostic tests instead of directly to an intervention and control. This principle is applied by allocating individuals to intervention if the test result…

Applications · Statistics 2022-01-11 Huw Llewelyn

One size fits all approaches to medicine have become a thing of the past as the understanding of individual differences grows. The paper introduces a test for the presence of heterogeneity in treatment effects in a clinical trial.…

Large language models (LLMs) are prone to hallucinations and sensitive to prompt perturbations, often resulting in inconsistent or unreliable generated text. Different methods have been proposed to mitigate such hallucinations and…

Computation and Language · Computer Science 2025-11-25 Xiaoyuan Wu , Weiran Lin , Omer Akgul , Lujo Bauer

Quantifying the heterogeneity is an important issue in meta-analysis, and among the existing measures, the $I^2$ statistic is most commonly used. In this paper, we first illustrate with a simple example that the $I^2$ statistic is heavily…

Methodology · Statistics 2025-06-10 Ke Yang , Enxuan Lin , Wangli Xu , Liping Zhu , Tiejun Tong
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