Hybrid sample size calculations for cluster randomised trials using assurance

  • 0Biostatistics Research Group, Population Health Sciences Institute, Newcastle University, Newcastle upon Tyne, UK.

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Summary

This summary is machine-generated.

Determining sample size for cluster trials is complex. Bayesian assurance offers a more robust method than traditional power calculations by incorporating parameter uncertainty, leading to more reliable trial sample sizes.

Area Of Science

  • Biostatistics
  • Clinical Trials Methodology
  • Health Research Methods

Background

  • Sample size determination for cluster randomized trials (CRTs) is challenging due to the need for accurate intra-cluster correlation coefficient (ICC) estimation.
  • Traditional power calculations are sensitive to ICC inaccuracies, potentially leading to under- or over-powered trials.
  • Imprecise ICC estimates often arise from studies with few clusters, complicating sample size planning.

Purpose Of The Study

  • To propose a hybrid Bayesian assurance and frequentist approach for sample size determination in CRTs.
  • To incorporate uncertainty in key parameters like ICC, standard deviation, and coefficient of variation of cluster size.
  • To demonstrate the approach using a CRT design for post-stroke incontinence.

Main Methods

  • Utilized Bayesian assurance as an alternative to traditional power, incorporating prior distributions for key parameters.
  • Specified prior distributions for standard deviation, ICC, and coefficient of variation of cluster size.
  • Applied the method to a CRT for post-stroke incontinence, comparing results with standard power calculations.

Main Results

  • Bayesian assurance allows sample size calculation using elicited prior distributions for ICC, unlike power calculations that use single point estimates.
  • The proposed approach avoids sample size misspecification when prior distributions differ significantly, even with similar medians.
  • Accounting for uncertainty in all nuisance parameters did not substantially increase the required sample size.

Conclusions

  • Bayesian assurance enhances understanding of trial success probability and provides more robust sample sizes against parameter uncertainty.
  • This method is particularly beneficial when reliable parameter estimates are difficult to obtain.
  • The hybrid approach offers a more reliable alternative for sample size determination in CRTs.

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