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Design and analysis of clinical trials with clustering effects due to treatment
Abstract
Where patients receive therapy as a group, there are good theoretical reasons to believe that variation in the outcome will be smaller for patients treated in the same group than for patients treated in different groups. Similarly, where different therapists treat different groups of patients, outcome for patients treated by the same therapist may differ less than outcome for patients treated by different therapists. Clinical trials evaluating such therapies need to consider this potential lack of independence. As with cluster-randomized trials, this has implications for the precision of treatment effects estimates and statistical power. There are nevertheless differences between clustering due to the organization of treatment and that due to randomization. In cluster-randomized trials the distribution of cluster sizes in each treatment arm should be similar as a consequence of randomization unless there is differential loss to follow-up. With clustering due to therapy group or therapist, cluster size may differ systematically between treatment arms, due to size of therapy groups or differing health professional caseload. Intra-cluster correlation may also differ between treatment arms. The implications of differential cluster size and intracluster correlation for design and analysis will be illustrated by data from two trials, the first comparing nurse practitioner care with general practitioner care, and the second comparing a group therapy with individual treatment as usua…
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“To allow for potential clustering effects in the intervention arm we used an allocation ratio of 2:1 (intervention: treatment as usual).18”
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“Based on an average cluster size of 13 evaluable participants (those completing 3 months follow-up), and a therapist (health professional delivering the intervention) intraclass correlation coefficient of 0.05(ref. 30) in the intervention arm, a total of 364 evaluable patients at 3 months would provide 92% power to detect such a difference with a two-sample test and a significance level of 5%.31”
From A brief intervention for weight control based on habit-formation theory delivered through primary care: results from a randomised controlled trial (2017) · cites this paper as [31]
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Metadata
- Authors
- Roberts, C., & Roberts, S. A.
- Affiliations
- University of Manchester (GB)
- Corresponding author
- Roberts, Chris
- ORCID
- Roberts, Stephen A
- Venue
- Clinical Trials
- Publisher
- SAGE Publications
- Published
- 2005-04
- Volume
- 2
- Issue
- 2
- Pages
- 152-162
- ISSN
- 1740-7745 (ISSN-L)
- 1740-7753
- OpenAlex
- W2093029291
- Cited by
- 299
- References
- 30
- Citations by year
- 2026: 8 · 2025: 14 · 2024: 16 · 2023: 18 · 2022: 14 · 2021: 23 · 2020: 33 · 2019: 23 · 2018: 13 · 2017: 11 · 2016: 14 · 2015: 12 · 2014: 22 · 2013: 12 · 2012: 17
- FWCI
- 4.50
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Clinical Trials (publishedVersion)
- PubMed (publishedVersion)
- Research Explorer (The University of Manchester) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Keywords
- cluster effect, group therapy, therapist effects, intra-cluster correlation, statistical power, sample size, general practitioner care, simulation study
- MeSH terms
- Data Interpretation, Statistical, Group Processes, Humans, Nurse Practitioners, Physicians, Family, Research Design, Statistics as Topic, Cluster Analysis, Randomized Controlled Trials as Topic, Treatment Outcome, Sample Size
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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