Evidence map›Paper›PMID 28810895›Full record

ArticleTrials2017

Understanding the cluster randomised crossover design: a graphical illustraton of the components of variation and a sample size tutorial.

Sarah J Arnup, Joanne E McKenzie, Karla Hemming, David Pilcher, Andrew B Forbes

Registry-linked trialAbstract read
In one paragraph

Article in Trials, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. It is linked to trial NCT05221866 (Efficiency And Quality In Post-Surgical Pain Therapy After Discharge), which is not on this map. Cited by 47 papers, 2 of them syntheses that pooled it.

0numbers the graph read from it
0cells of the map it votes in
47citing papers in PubMed, 2 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

NCT05221866 nacompletednot on this mapstarted 2022, after this paper: background citation

Efficiency And Quality In Post-Surgical Pain Therapy After Discharge

TypeinterventionalSponsorUniversity of NebraskaRan2022 to 2023Enrolled711ConditionsOpioid Use, Opioid Dependence, Opioid Misuse, Post-Surgical ComplicationArmsEmpowering Patient to Steer Their Pain Management After Surgery, Provider-facing Prescription Aid
3 · Its place in the literature

Who cites it

47 citing papers in PubMed, 2 syntheses or guidelines pooled it.

  1. Pooled it
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  4. Ticagrelor Compared to Clopidogrel in Acute Coronary Syndromes trial (TC4): a Bayesian pragmatic cluster randomized controlled trial.CMAJ : Canadian Medical Association journal = journal de l'Association medicale canadienne · 2025
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Sarah J ArnupSchool of Public Health and Preventive Medicine, Monash University, The Alfred Centre, Melbourne, VIC, 3004, Australia.
Joanne E McKenzieSchool of Public Health and Preventive Medicine, Monash University, The Alfred Centre, Melbourne, VIC, 3004, Australia.
Karla HemmingInstitute of Applied Health Research, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK.
David PilcherAustralian and New Zealand Intensive Care Society Centre for Outcome and Resource Evaluation, Ievers Terrace, Carlton, VIC, 3154, Australia.
Andrew B ForbesSchool of Public Health and Preventive Medicine, Monash University, The Alfred Centre, Melbourne, VIC, 3004, Australia. Andrew.Forbes@monash.edu.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

backgroundIn a cluster randomised crossover (CRXO) design, a sequence of interventions is assigned to a group, or 'cluster' of individuals. Each cluster receives each intervention in a separate period of time, forming 'cluster-periods'. Sample size calculations for CRXO trials need to account for both the cluster randomisation and crossover aspects of the design. Formulae are available for the two-period, two-intervention, cross-sectional CRXO design, however implementation of these formulae is known to be suboptimal. The aims of this tutorial are to illustrate the intuition behind the design; and provide guidance on performing sample size calculations.

methodsGraphical illustrations are used to describe the effect of the cluster randomisation and crossover aspects of the design on the correlation between individual responses in a CRXO trial. Sample size calculations for binary and continuous outcomes are illustrated using parameters estimated from the Australia and New Zealand Intensive Care Society - Adult Patient Database (ANZICS-APD) for patient mortality and length(s) of stay (LOS).

resultsThe similarity between individual responses in a CRXO trial can be understood in terms of three components of variation: variation in cluster mean response; variation in the cluster-period mean response; and variation between individual responses within a cluster-period; or equivalently in terms of the correlation between individual responses in the same cluster-period (within-cluster within-period correlation, WPC), and between individual responses in the same cluster, but in different periods (within-cluster between-period correlation, BPC). The BPC lies between zero and the WPC. When the WPC and BPC are equal the precision gained by crossover aspect of the CRXO design equals the precision lost by cluster randomisation. When the BPC is zero there is no advantage in a CRXO over a parallel-group cluster randomised trial. Sample size calculations illustrate that small changes in the specification of the WPC or BPC can increase the required number of clusters.

conclusionsBy illustrating how the parameters required for sample size calculations arise from the CRXO design and by providing guidance on both how to choose values for the parameters and perform the sample size calculations, the implementation of the sample size formulae for CRXO trials may improve.

Indexed as

Endpoint DeterminationSample SizeCross-Over StudiesDatabases, FactualData Interpretation, StatisticalHospital MortalityHumansIntensive Care UnitsLength of StayModels, StatisticalRandomized Controlled Trials as TopicTime FactorsBetween-period correlationCluster randomisedComponents of variabilityCrossoverIntracluster correlationSample sizeWithin-period correlation

Identifiers

PMID28810895
PMCPMC5557529

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Registered trials

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.