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The intra-cluster correlation coefficient (ICC) plays an important role while designing the cluster randomized trials (CRTs). Often optimal CRTs are designed assuming that the magnitude of the ICC is constant across the clusters. However,…

Computation · Statistics 2019-02-21 Satya Prakash Singh , Pradeep Yadav

Cluster-randomized trials (CRTs) are a well-established class of designs for evaluating community-based interventions. An essential task in planning these trials is determining the number of clusters and cluster sizes needed to achieve…

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

Sample size determination for cluster randomised trials (CRTs) is challenging as it requires robust estimation of the intra-cluster correlation coefficient (ICC). Typically, the sample size is chosen to provide a certain level of power to…

Applications · Statistics 2023-08-23 S. Faye Williamson , Svetlana V. Tishkovskaya , Kevin J. Wilson

Clustered data are common in biomedical research. Observations in the same cluster are often more similar to each other than to observations from other clusters. The intraclass correlation coefficient (ICC), first introduced by R. A.…

Methodology · Statistics 2024-02-20 Shengxin Tu , Chun Li , Donglin Zeng , Bryan E. Shepherd

Pragmatic trials evaluating health care interventions often adopt cluster randomization due to scientific or logistical considerations. Previous reviews have shown that co-primary endpoints are common in pragmatic trials but infrequently…

Methodology · Statistics 2022-05-03 Siyun Yang , Mirjam Moerbeek , Monica Taljaard , Fan Li

Cluster-randomized trials (CRTs) are widely used to evaluate group-level interventions and increasingly collect multiple outcomes capturing complementary dimensions of benefit and risk. Investigators often seek a single global summary of…

Methodology · Statistics 2026-01-22 Xinyuan Chen , Fan Li

Leveraging external controls -- relevant individual patient data under control from external trials or real-world data -- has the potential to reduce the cost of randomized controlled trials (RCTs) while increasing the proportion of trial…

Methodology · Statistics 2022-07-13 Yanyao Yi , Ying Zhang , Yu Du , Ting Ye

Analyses of cluster randomized trials (CRTs) can be complicated by informative missing outcome data. Methods such as inverse probability weighted generalized estimating equations have been proposed to account for informative missingness by…

Methodology · Statistics 2023-04-13 Chia-Rui Chang , Rui Wang

An individualized treatment rule (ITR) tailors treatments to a patient's specific characteristics. However, randomized controlled trials (RCTs) are often underpowered to detect the treatment effect heterogeneity needed for reliable ITR…

Methodology · Statistics 2026-04-14 Yuan Bian , Donglin Zeng , Hyun-Joon Yang , Leanne M. Williams , Yuanjia Wang

Multivariate outcomes are common in pragmatic cluster randomized trials. While sample size calculation procedures for multivariate outcomes exist under parallel assignment, none have been developed for a stepped wedge design. In this…

Methodology · Statistics 2022-12-05 Kendra Davis-Plourde , Monica Taljaard , Fan Li

Evaluating heterogeneity of treatment effects (HTE) across subgroups is common in both randomized trials and observational studies. Although several statistical challenges of HTE analyses including low statistical power and multiple…

Methodology · Statistics 2024-07-10 Noorie Hyun , Abisola E. Idu , Andrea J. Cook , Jennifer F. Bobb

Cluster or group randomized trials (CRTs) are increasingly used for both behavioral and system-level interventions, where entire clusters are randomly assigned to a study condition or intervention. Apart from the assigned cluster-level…

Methodology · Statistics 2024-11-19 Shubhadeep Chakraborty , Bo Wang , Ram Tiwari , Samiran Ghosh

Cluster randomized trials (CRTs) are studies where treatment is randomized at the cluster level but outcomes are typically collected at the individual level. When CRTs are employed in pragmatic settings, baseline population characteristics…

Methodology · Statistics 2023-06-22 Mary M. Ryan , Denise Esserman , Fan Li

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,…

Reporting test-retest reliability using the intraclass correlation coefficient (ICC) has received increasing attention due to the criticisms of poor transparency and replicability in neuroimaging research, as well as many other biomedical…

Methodology · Statistics 2026-01-07 Yufeng Liu , Xiangfei Hong , Shanbao Tong

Cluster-randomized trials (CRTs) are widely used to evaluate interventions delivered at the clinic, practice, or community level. Although standard analyses typically target average treatment effects, such summaries mask potentially…

Methodology · Statistics 2026-04-16 Changjun Li , Xi Fang , Michael O. Harhay , Andrew B. Forbes , F. Perry Wilson , Guangyu Tong , Fan Li

Whenever possible, the efficacy of a new treatment, such as a drug or behavioral intervention, is investigated by randomly assigning some individuals to a treatment condition and others to a control condition, and comparing the outcomes…

Methodology · Statistics 2015-05-04 Patrick C. Staples , Elizabeth L. Ogburn , Jukka-Pekka Onnela

Cluster randomized trials (CRTs) are popular in public health and in the social sciences to evaluate a new treatment or policy where the new policy is randomly allocated to clusters of units rather than individual units. CRTs often feature…

Methodology · Statistics 2019-08-16 Hyunseung Kang , Luke Keele

Cluster randomized trials (CRTs) are a popular design to study the effect of interventions in infectious disease settings. However, standard analysis of CRTs primarily relies on strong parametric methods, usually mixed-effect models to…

Methodology · Statistics 2021-09-23 Chan Park , Hyunseung Kang
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