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Highly Efficient Stepped Wedge Designs for Clusters of Unequal Size

Methodology · Submitted 13 Nov 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Cluster-balanced designs, which allocate equal numbers of clusters to each sequence, are shown to have excellent statistical and practical properties; suggestions are made about the practical application of the results for these designs.

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arXiv ID1811.05359 (version 2)
Pith IDASONJ52M, Pith's permanent record of this paper and its review
CitationJohn N. S. Matthews. "Highly Efficient Stepped Wedge Designs for Clusters of Unequal Size." arXiv:1811.05359 (2018). https://pith.science/paper/ASONJ52M
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,265 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.90 · human participants 0.86 · controlled comparison 0.79 · randomized assignment 0.82 · states quantitative result 0.06 · compares with prior results 0.35 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

The Stepped Wedge Design (SWD) is a form of cluster randomized trial, usually comparing two treatments, which is divided into time periods and sequences, with clusters allocated to sequences. Typically all sequences start with the standard treatment and end with the new treatment, with the change happening at different times in the different sequences. The clusters will usually differ in size but this is overlooked in much of the existing literature. This paper considers the case when clusters have different sizes and determines how efficient designs can be found. The approach uses an approximation to the the variance of the treatment effect which is expressed in terms of the proportions of clusters and of individuals allocated to each sequence of the design. The roles of these sets of proportions in determining an efficient design are discussed and illustrated using two SWDs, one in the treatment of sexually transmitted diseases and one in renal replacement therapy. Cluster-balanced designs, which allocate equal numbers of clusters to each sequence, are shown to have excellent statistical and practical properties; suggestions are made about the practical application of the results for these designs. The paper concentrates on the cross-sectional case, where subjects are measured once, but it is briefly indicated how the methods can be extended to the closed-cohort design.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The Stepped Wedge Design (SWD) is a form of cluster randomized trial, usually comparing two treatments, which is divided into time periods and sequences, with clusters allocated to sequences. background 1.00 0.04 0.02 asserted 0.98
s1 Typically all sequences start with the standard treatment and end with the new treatment, with the change happening at different times in the different sequences. background 1.00 0.04 0.02 asserted 0.76
s2 The clusters will usually differ in size but this is overlooked in much of the existing literature. gap 0.99 0.06 0.02 asserted 0.97
s3 This paper considers the case when clusters have different sizes and determines how efficient designs can be found. contribution 0.98 0.87 0.08 asserted 0.96
s4 The approach uses an approximation to the the variance of the treatment effect which is expressed in terms of the proportions of clusters and of individuals allocated to each sequence of the design. method 1.00 0.88 0.05 asserted 1.00
s5 The roles of these sets of proportions in determining an efficient design are discussed and illustrated using two SWDs, one in the treatment of sexually transmitted diseases and one in renal replacement therapy. contribution 0.67 0.83 0.10 asserted 0.98
s6 Cluster-balanced designs, which allocate equal numbers of clusters to each sequence, are shown to have excellent statistical and practical properties; suggestions are made about the practical application of the results for these designs. result 0.94 0.91 0.62 asserted 0.99
s7 The paper concentrates on the cross-sectional case, where subjects are measured once, but it is briefly indicated how the methods can be extended to the closed-cohort design. limitation 0.88 0.72 0.04 hedged possibility 0.76

What kind of paper the classifier reports this is: method or tool 0.66 · evidence from proof or derivation 0.95.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

The Stepped Wedge Design (SWD) is a form of cluster randomized trial, usually comparing two treatments, which is divided into time periods and sequences, with clusters allocated to sequences. Typically all sequences start with the standard treatment and end with the new treatment, with the change happening at different times in the different sequences. The clusters will usually differ in size but this is overlooked in much of the existing literature. This paper considers the case when clusters have different sizes and determines how efficient designs can be found. The approach uses an approximation to the the variance of the treatment effect which is expressed in terms of the proportions of clusters and of individuals allocated to each sequence of the design. The roles of these sets of proportions in determining an efficient design are discussed and illustrated using two SWDs, one in the treatment of sexually transmitted diseases and one in renal replacement therapy. Cluster-balanced designs, which allocate equal numbers of clusters to each sequence, are shown to have excellent statistical and practical properties; suggestions are made about the practical application of the results for these designs. The paper concentrates on the cross-sectional case, where subjects are measured once, but it is briefly indicated how the methods can be extended to the closed-cohort design.

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