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A simple method to estimate sample sizes for safety equivalence studies using inverse sampling.

Nicholas Moore1, Pascale Tubert-Bitter, Anne Fourrier

  • 1Départment de Pharmacologie, Université Victor-Segalen, Case 36, 33076, Bordeaux, Cedex, France. nicholas.moore@pharmaco.u-bordeaux2.fr <nicholas.moore@pharmaco.u-bordeaux2.fr>

Journal of Clinical Epidemiology
|June 19, 2003
PubMed
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Safety equivalence studies require observing numerous events to confirm a new process is as safe as an old one. A reverse sampling method helps estimate the necessary number of events for robust statistical evidence.

Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Medical Device Safety

Background:

  • Safety equivalence studies are crucial for validating new medical procedures or devices against established ones.
  • These studies often face challenges due to low or uncertain outcome event rates, complicating sample size calculations.
  • Traditional patient-based sample sizing methods can be unreliable when event frequencies are not well-defined.

Purpose of the Study:

  • To derive a method for estimating event numbers needed in safety equivalence studies.
  • To provide a statistically sound approach for sample size determination when outcome rates are low.
  • To facilitate the demonstration of safety equivalence using a confidence interval approach.

Main Methods:

  • A reverse sampling approach was developed using standard statistical equations.

Related Experiment Videos

  • The method focuses on estimating the number of events required for equivalence, rather than the number of patients directly.
  • Calculations are based on the confidence interval approach for hypothesis testing.

    • Main Results:

    • For a one-sided hypothesis with 5% alpha risk and 80% power, approximately 100 events are needed per arm for 30% equivalence.
    • Around 250 events per arm are required to demonstrate 20% equivalence under the same conditions.
    • The total number of patients can be calculated based on these event numbers and expected event rates.

    Conclusions:

    • The reverse sampling method offers a practical solution for sample size estimation in safety equivalence studies with low event rates.
    • This approach enhances the reliability of demonstrating that a new procedure is at least as safe as a previous one.
    • It provides a clear link between the number of observed events and the statistical confidence in achieving safety equivalence.