Evidence map›Paper›PMID 40548930›Full record

ArticleStatistics in medicine2025

Optimal Allocation of Observations in Stepped-Wedge and Other Cluster Studies With Correlated Cluster-Period Effects.

Alan J Girling, Samuel I Watson

Abstract read
In one paragraph

Article in Statistics in medicine, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–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.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
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

2 authors.

Alan J GirlingInstitute of Applied Health Research, University of Birmingham, Birmingham, UK.ORCID https://orcid.org/0000-0003-2022-045X
Samuel I WatsonInstitute of Applied Health Research, University of Birmingham, Birmingham, UK.ORCID https://orcid.org/0000-0002-8972-769X

Funding

Medical Research Council MR/V038591/1National Institute for Health and Care Research NIHR158242National Institute for Health and Care Research NIHR200132National Institute for Health and Care Research NIHR 204294
6 · The paper itself

Abstract

Stepped-wedge studies usually entail regular sampling of clusters over time. Yet the precision of the treatment effect estimator can sometimes be improved if the regular sampling scheme is replaced by one with preferential allocation of observations to particular time-epochs within each cluster. We present some exact results for optimizing the allocation for a general experimental layout under a mixed effects model with a time-varying cluster-autocorrelation structure, together with an algorithm for generating optimal allocations. An index of cluster variation is introduced, an increasing function of both the intra-class correlation and the total sample size, which encapsulates the influence of cluster-level variation on the optimal allocation. For any specified layout there is a sampling scheme (the 'best natural allocation') that solves the optimization problem for all values of this index up to a threshold value which depends only on the cluster autocorrelations. Under such a scheme the treatment effect estimator is equal to a simple difference between the means of the treated and control observations. Best natural allocations stand alongside conventional parallel and cross-over designs in giving equal weight to observations from all participants, even under stepped-wedge layouts with irreversible interventions. When applied to a recent study of primary care training programmes in low- and middle- income countries (The REaCH study), the results lead to substantial reductions in total sample size, without loss of precision. For stepped-wedge layouts with block-exchangeable or time-decaying cluster autocorrelations, we present explicit conditions for the optimality of staircase-type sampling schemes, which can arise as best natural allocations in such cases.

Indexed as

AlgorithmsCluster AnalysisComputer SimulationHumansModels, StatisticalResearch DesignSample Sizecluster studiesoptimal designstaircase designsstepped wedge

Identifiers

PMID40548930
PMCPMC12184762

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

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.