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Published on: February 15, 2017
Maximin optimal cluster randomized designs for assessing treatment effect heterogeneity
Mary M Ryan1,2, Denise Esserman1,2, Fan Li1,2,3
1Department of Biostatistics, Yale School of Public Health, New Haven, Connecticut, USA.
Cluster randomized trials (CRTs) can now be optimally designed for heterogeneous treatment effect (HTE) analyses. New formulas ensure maximum power for HTE and average treatment effects within budget constraints.
Area of Science:
- Biostatistics
- Clinical Trial Design
- Public Health Research
Background:
- Cluster randomized trials (CRTs) are essential for pragmatic research but face challenges in analyzing heterogeneous treatment effects (HTEs).
- Pre-specified HTE analyses in CRTs are crucial for understanding intervention impacts on subpopulations.
- Existing sample size formulas for CRTs often assume known intracluster correlation coefficients (ICCs), limiting their application for HTE.
Purpose of the Study:
- To develop optimal cluster randomized trial designs for maximizing power in pre-specified heterogeneous treatment effect (HTE) analyses.
- To derive new design formulas for determining cluster size and number of clusters under budget constraints for HTE estimation.
- To establish methods for designing CRTs that accommodate both average and heterogeneous treatment effect analyses.
Main Methods:
- Derived new design formulas for the locally optimal design (LOD) to minimize variance in HTE parameter estimation.
- Developed a maximin design to maximize HTE analysis efficiency in worst-case scenarios with unknown ICCs.
- Established multi-objective optimal designs balancing considerations for average and heterogeneous treatment effects.
Main Results:
- New design formulas provide optimal cluster size and number of clusters for HTE analysis under budget constraints.
- The maximin design offers robust HTE analysis efficiency even with unknown covariate and outcome ICCs.
- Multi-objective designs effectively balance the power for both average treatment effects and HTEs.
Conclusions:
- The developed methods enable optimized cluster randomized trial designs for robust heterogeneous treatment effect analysis.
- These designs enhance the understanding of intervention impacts across different subpopulations in pragmatic settings.
- An accompanying R Shiny app facilitates the practical application of these optimal design calculations.
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