Optimal unidirectional switch designs

Zhuozhao Zhan, Geertruida H. de Bock, Edwin R. van den Heuvel

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Stepped wedge designs and delayed start designs can all be considered as special cases of the so-called unidirectional switch design. This paper provides optimal proportions of clusters that are allocated to switch patterns in a unidirectional switch design to minimize the asymptotic variance of the treatment effect estimator. This unique optimal design applies to certain cross-sectional and longitudinal variance component models. When the intraclass correlation coefficient is zero, the optimal unidirectional switch design coincides with the classic (cluster) parallel group design. The optimal unidirectional switch design is more efficient than the optimal stepped wedge design and delayed start designs. Compared with the uniform unidirectional switch design, the efficiency gain of the optimal unidirectional switch design can be substantial, but it depends on the intraclass correlation and the cluster size. We also showed that augmenting the optimal stepped wedge design with pure control pattern is more efficient than the optimal stepped wedge design. In addition, robust minimax design for unidirectional switch design, delayed start design, and stepped wedge design are provided.

Original languageEnglish
Pages (from-to)3573-3588
JournalStatistics in Medicine
Volume37
Issue number25
DOIs
Publication statusPublished - 10 Nov 2018

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Switch
Wedge
Design
Variance Component Model
Intraclass Correlation Coefficient
Intraclass Correlation
Asymptotic Variance
Treatment Effects
Minimax
Proportion

Keywords

  • Delayed start design
  • Optimal design
  • Robust design
  • Stepped wedge design
  • Unidirectional switch design

Cite this

Zhan, Zhuozhao ; de Bock, Geertruida H. ; van den Heuvel, Edwin R. / Optimal unidirectional switch designs. In: Statistics in Medicine. 2018 ; Vol. 37, No. 25. pp. 3573-3588.
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Optimal unidirectional switch designs. / Zhan, Zhuozhao; de Bock, Geertruida H.; van den Heuvel, Edwin R.

In: Statistics in Medicine, Vol. 37, No. 25, 10.11.2018, p. 3573-3588.

Research output: Contribution to journalArticleAcademicpeer-review

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