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Beta spending function based on conditional power in group sequential design.

Senmiao Ni1, Zihang Zhong1, Zhiwei Jiang2

  • 1Department of Biostatistics, School of Public Health, Nanjing Medical University, Nanjing, Jiangsu, China.

Biometrical Journal. Biometrische Zeitschrift
|April 6, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a novel CP-beta spending function for group sequential designs to better control type II errors during futility monitoring. The method ensures precise error rate control and maintains overall Type I error rates, enhancing trial design flexibility.

Keywords:
beta spending functionconditional powerfutility stoppinggroup sequential designtype II error control

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Area of Science:

  • Statistics
  • Clinical Trial Design

Background:

  • Conditional power (CP) is crucial for futility monitoring in group sequential trials.
  • Existing CP methods may compromise type II error rate control.
  • Need for flexible methods to manage Type II error rates in futility monitoring.

Purpose of the Study:

  • Introduce a flexible CP-beta spending function for futility monitoring.
  • Regulate Type II error rate expenditure across the trial.
  • Integrate beta spending concepts within the CP framework for precise error control.

Main Methods:

  • Developed a novel CP-beta spending function.
  • Incorporated a predetermined standardized effect size for futility monitoring.
  • Calculated stopping boundaries using integration, similar to traditional beta spending functions.

Main Results:

  • The CP-beta spending function precisely controls Type II error rates during futility monitoring.
  • Demonstrated adaptability across various information time scenarios and CP thresholds.
  • Simulation studies and a real-world trial example confirmed accurate power capture and Type I error rate control.

Conclusions:

  • The proposed CP-beta spending function offers a competitive and flexible alternative for group sequential designs.
  • Facilitates straightforward implementation in various clinical trial settings.
  • Effectively manages Type II error rates and maintains Type I error control during futility monitoring.