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Related Experiment Videos

Comparison of the two-sided single triangular test to the double triangular test.

V Sébille1, E Bellissant

  • 1Laboratoire de Pharmacologie Expérimentale et Clinique, Faculté de Médecine (Université de Rennes I), Rennes, France.

Controlled Clinical Trials
|October 2, 2001
PubMed
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The modified triangular test (TT) allows early stopping in clinical trials but has lower power for detecting treatment inferiority. This modified test uses fewer patients than the double TT, but with a significant trade-off in statistical power.

Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Statistical Methods

Background:

  • Comparative clinical trials evaluate new treatments against standard ones, testing hypotheses about treatment differences (theta).
  • Group sequential methods, like the triangular test (TT), enable early trial stopping.
  • Early versions of PEST software implemented single and double TT for one-sided and two-sided efficacy testing.

Purpose of the Study:

  • To compare a modified single TT (two-sided test in PEST 3) with the double TT and a two-sided single-stage design (SSD).
  • To evaluate the modified single TT's performance in detecting treatment inferiority.
  • To assess the trade-offs between sample size and statistical power for these designs.

Main Methods:

  • Statistical comparison of the modified single TT, double TT, and two-sided SSD.

Related Experiment Videos

  • Evaluation of properties including statistical power and average sample number under various hypotheses.
  • Focus on Type I error rate and power under the alternative hypothesis H(-)(1) (treatment inferiority).

    • Main Results:

    • The SSD and double TT demonstrated similar statistical properties across all tested hypotheses.
    • The modified single TT showed significantly lower statistical power under H(-)(1) (probability of falsely accepting H(0) was 0.65 vs. 0.05).
    • The modified single TT achieved a lower average sample number than the double TT under H(-)(1) hypotheses (56% reduction).

    Conclusions:

    • The modified single TT offers a two-sided conclusion using fewer patients compared to the double TT.
    • This efficiency comes at the cost of a substantial decrease in statistical power, particularly when detecting treatment inferiority (H(-)(1)).
    • Researchers must weigh the benefits of reduced sample size against the increased risk of failing to detect inferiority with the modified single TT.