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Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Survival Analysis

Background:

  • Factorial clinical trials are complex, especially with time-to-event outcomes.
  • Accurate sample size and duration calculations are critical for trial success.

Purpose of the Study:

  • To develop a methodology for designing clinical trials with any factorial arrangement and time-to-event outcomes.
  • To provide a matrix formulation for sample size and study duration calculations.
  • To analyze the impact of reduced observations or patient accrual on trial power.

Main Methods:

  • Developed a matrix formulation for sample size and duration calculations.
  • Assumed time-to-event data follows an exponential distribution.
  • Conducted a simulation study to verify calculations and assess power changes.

Main Results:

  • Established relationships between effect size, power, and sample size for factorial trials.
  • Validated numerical calculations for expected events and trial duration.
  • Quantified the power reduction associated with fewer observations or patients in specific factorial combinations.

Conclusions:

  • The proposed methodology offers a robust framework for designing complex factorial clinical trials.
  • The findings are essential for optimizing resource allocation and ensuring adequate statistical power.
  • This work aids researchers in planning efficient time-to-event trials with factorial designs.