DelayedEffect.Design (version 1.1.3)

pow.APPLE: APPLE power computation

Description

Perform the power calculation using the close-form APPLE method based on the piecewise weighted log-rank test when the treatment time-lag effect is present and the lag duration is homogeneous across the individual subject

Usage

pow.APPLE(lambda1, t1, p, N, HR, tao, A, ap=0.5, alpha=0.05)

Value

The power

Arguments

lambda1

Baseline hazard or NULL (see details)

t1

Delayed duration or NULL (see details)

p

Proportion of subjects who survive beyond the delayed period or NULL (see details)

N

Sample size

HR

Post-delay hazard ratio, defined as the post-delay hazard rate of the treatment group compared to that of the control group

tao

Total study duration

A

Total enrollment duration

ap

Experimental-control allocation ratio. The default is 0.5.

alpha

Type I error rate (two-sided). The default is 0.05.

Author

Zhenzhen Xu <[e-mail]>, Boguang Zhen<[e-mail]>, Yongsoek Park <[e-mail]> and Bin Zhu <[e-mail]>

Details

APPLE is an acronym for:
Analytic Power calculation method based on Piecewise weighted Log-rank tEst. See the reference for details of this method.

Out of the three input parameters lambda1, t1 and p, only two need to be specified, the remaining one will be computed internally from the formula lambda1 = -log(p)/t1. If all three are not NULL, then lambda1 will be set to -log(p)/t1 regardless of the user input value.

References

Xu, Z., Zhen, B., Park, Y., & Zhu, B. (2017). Designing therapeutic cancer vaccine trials with delayed treatment effect. Statistics in medicine, 36(4), 592-605.

See Also

N.APPLE, HR.APPLE, pow.SEPPLE, pow.sim.logrk

Examples

  lambda1 <- NULL
  t1      <- 183
  p       <- 0.7
  N       <- 200
  HR      <- 0.55
  tao     <- 365*3
  A       <- 365
  pow.APPLE(lambda1, t1, p, N, HR, tao, A)