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Related Experiment Videos

Subject allocation and study curtailment for fixed event comparative Poisson trials.

Donald R Hoover1

  • 1Department of Statistics, Rutgers University, 473 Hill Center, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, U.S.A. drhoover@stat.rutgers.edu

Statistics in Medicine
|April 15, 2004
PubMed
Summary

Comparative Poisson trials for vaccines can be shortened. Altering treatment allocation (k) and early stopping (curtailed stopping) can reduce disease cases and follow-up time (N(u+t)). Equal allocation (k=0.5) with curtailed stopping is often optimal.

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Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Epidemiology

Background:

  • Comparative Poisson trials, often used for prophylactic interventions like vaccines, are typically lengthy and expensive.
  • Reducing the number of disease cases and person-years of follow-up (N(u+t)) is crucial for efficiency.
  • Existing methods for optimizing trial design need further evaluation for practical implementation.

Purpose of the Study:

  • To evaluate two easily implemented approaches for reducing N(u+t) in comparative Poisson trials with a fixed number of cases (T).
  • To assess the impact of altering the allocation proportion (k) of person-years to treatment.
  • To examine the benefits of curtailed stopping before reaching T cases.

Main Methods:

  • Evaluated normal and arcsine approximations, alongside discrete exact tests.

Related Experiment Videos

  • Assessed strategies including altering the allocation proportion (k) and implementing curtailed stopping rules.
  • Analyzed scenarios with one-sided alpha (0.005–0.025), beta (0.1–0.2), and alternative hypothesized relative incidence (r(a) = 0.2–0.5).
  • Main Results:

    • For studies not stopped early, allocating approximately 1/(1+sqrt(r_a)) person-years to treatment minimizes T, moderately reducing cases compared to equal allocation (k=0.5).
    • However, k=0.5 may be optimal for minimizing N(u+t) without early stopping.
    • Curtailed stopping reduced disease cases and N(u+t) by 6-40% for exact tests, with k=0.5 or k=0.6 performing well.

    Conclusions:

    • Curtailed stopping is an effective strategy to reduce trial duration and case numbers in comparative Poisson trials.
    • Equal allocation (k=0.5) with curtailed stopping generally minimizes person-years of follow-up and cases.
    • Careful selection of k is important, as deviations can lead to underpowered studies, especially with exact tests.