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Efficient stage-wise allocation ratios in multi-arm multi-stage designs.

Ruqayya A Azher1, Michael J Grayling2, James M S Wason3

  • 1Population Health Sciences Institute, Newcastle University, Newcastle upon Tyne, UK; Medical College, Umm Al-Qura University, Makkah, Saudi Arabia.

Contemporary Clinical Trials
|April 11, 2025
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Summary
This summary is machine-generated.

Optimizing allocation ratios in multi-arm multi-stage (MAMS) trials improves statistical power. Tailoring these ratios to specific trial objectives, like marginal, disjunctive, or conjunctive power, enhances decision-making and resource efficiency in drug development.

Keywords:
Adaptive designGroup sequentialInterim analysisResponse adaptiveTwo-stage

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Area of Science:

  • Clinical Trial Design
  • Statistical Methodology
  • Pharmaceutical Research

Background:

  • Multi-arm multi-stage (MAMS) designs accelerate drug development by evaluating multiple treatments concurrently.
  • Improving the efficiency of MAMS designs is an ongoing research focus.
  • This study investigates how varying stage-wise allocation ratios affect MAMS trial power and expected sample size (ESS).

Purpose of the Study:

  • To develop a methodology for calculating operating characteristics of MAMS designs with fixed maximum sample sizes and varying stage-wise allocation ratios.
  • To evaluate the impact of different allocation ratio combinations on marginal, disjunctive, and conjunctive power.
  • To assess the influence of allocation ratios on expected sample size (ESS).

Main Methods:

  • A methodology was developed to calculate MAMS operating characteristics with stage-wise varying allocation ratios.
  • The study evaluated common allocation ratio combinations assuming equal sample sizes per stage and normal distribution of outcomes.
  • Parameters were derived from a real-world clinical trial for realistic evaluation.

Main Results:

  • Efficient stage-wise allocation ratios are dependent on the specific type of statistical power being optimized.
  • Marginal and disjunctive power improve with increased allocation to the control arm, but optimal ratios differ.
  • Conjunctive power benefits from a more balanced allocation between control and experimental arms.
  • Observed variations in allocation ratios had minimal impact on ESS.

Conclusions:

  • Stage-wise allocation ratios are crucial for aligning MAMS trial designs with specific objectives.
  • Optimizing these ratios can significantly enhance statistical power and trial efficiency.
  • Informed allocation strategies in MAMS trials improve decision-making and minimize resource utilization.