| pow.SEPPLE.plus {DelayedEffect.Design} | R Documentation | 
SEPPLE+ power computation
Description
Perform the power calculation using the numeric SEPPLE+ method based on the generalized piecewise weighted log-rank test when the treatment time-lag effect is present and the lag duration varies heterogeneously from individual to individual or from study to study, within a certain domain and following a specific pattern.
Usage
pow.SEPPLE.plus(lambda1, tl, tu, N, HR, tao, A, dist="uniform",
              shape1=NULL, shape2=NULL, ap=0.5, alpha=0.05, nsim=10000) 
Arguments
| lambda1 | Baseline hazard | 
| tl | Lower bound of delayed duration domain | 
| tu | Upper bound of delayed duration domain | 
| N | Sample size | 
| HR | Post-delay hazard ratio after tu, 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 | 
| dist | One of "uniform", "beta" or "gamma", for the lag distribution | 
| shape1 | NULL or a positive parameter value for the  | 
| shape2 | NULL or a positive parameter value for the  | 
| ap | Experimental-control allocation ratio. The default is 0.5. | 
| alpha | Type I error rate (two-sided). The default is 0.05. | 
| nsim | Number of simulations. The default is 10000. | 
Details
SEPPLE+ is an acronym for: 
Simulation-based Empirical Power calculation method based on generalized Piecewise weighted Log-rank
tEst with random treatment time-lag effect. 
See the reference for details of this method. 
Value
The power
Author(s)
Zhenzhen Xu <Zhenzhen.Xu@fda.hhs.gov> , Boguang Zhen<Boguang.Zhen@fda.hhs.gov>, Yongsoek Park <yongpark@pitt.edu> and Bin Zhu <bin.zhu@nih.gov>
References
Xu, Z., Park, Y., Zhen, B. & Zhu, B. (2017). Achieving optimal power of logrank test with random treatment time-lag effect. Biometrika. Under review.
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
pow.SEPPLE.random.DE, pow.sim.logrk.random.DE
Examples
  lambda1 <- 0.001982
  tl      <- 30
  tu      <- 30*11
  N       <- 200
  HR      <- 0.55
  tao     <- 365*3
  A       <- 365
  shape1  <- 5
  shape2  <- 5
  pow.SEPPLE.plus(lambda1, tl, tu, N, HR, tao, A, dist="beta", 
                  shape1=shape1, shape2=shape2, nsim=1000)