| power_comparison_Power_vs_Trt_GAUSSIAN {RARfreq} | R Documentation |
Comparison of Powers for Treatment Effects under Different DBCD Randomization methods (Gaussian Responses)
Description
Compares the power of a 2-arm design under different treatment effects for the same sample size and placebo effect through matrices and plots.
Usage
power_comparison_Power_vs_Trt_GAUSSIAN(n, nstart, mu_pbo, sd_pbo,
mu_trt, sd_trt, nstop, replication, group_allo, rho_func_index, rho_func,
alpha, sig_level)
Arguments
n |
The number of patients. Default is 100. |
nstart |
Burn-in sample size of each arm. Default is n/20. |
mu_pbo |
Mean response of placebo (control) arm. Default is 4.5. |
sd_pbo |
Response standard deviation of placebo (control) arm. Default is 1.32. |
mu_trt |
A vector containing mean responses of treatment. |
sd_trt |
A vector containing response standard deviations of treatment. |
nstop |
A vector of stopping cap of sample size for each arm. The trial stops if at least one arm reaches the corresponding cap. The default is NULL, which means no cap. |
replication |
the number of replications of the simulation. The default is 100. |
group_allo |
A number or a vector of group size(s) for allocation. If a number is given, the allocation ratios will be updated for each batch of group_allo samples. If a vector is given, the allocation ratios will be updated sequentially in group according to the vector. Any value greater than n will be omitted. The default is group_allo=1, which is the same as group_allo = seq(nstart*length(p)+1,n). |
rho_func_index |
Supply a number of 1 or 2 indicting the allocation function to use. 1 = Zhang-Rosenberger allocation (2-arm allocation only); 2 (default) = Neyman allocation. |
rho_func |
Supply a user-specified allocation function of Mean_RK and SD_RK when rho_func_index is NULL. Default is NULL. |
alpha |
Supply a number indicating the subscripts of the probability function. Default is 2. |
sig_level |
Significant level. Default is 0.05. |
Details
'power_comparison_Power_vs_Trt_GAUSSIAN' reads different treatment effects and outputs allocation, estimated rates and powers.
Value
Allocation - Average and standard deviation (SD) of allocation distribution
Estimation - Average and standard deviation of treatment effect
Power - Average power: 1) ANOVA test, 2) one-sided Welch T-test performed for each of the k-th arm against H0: mu_1>mu_k without multiplicity adjustment
Plot - Three figures of results: 1) Allocation mean and SD, 2) Estimated mean response and SD, 3) Power of ANOVA test and power of one-sided Welch T-test
Examples
## Default setting
power_comparison_Power_vs_Trt_GAUSSIAN(
n = 100,
nstart = round(100/20),
mu_pbo = 4.5,
sd_pbo = 1.32,
mu_trt = seq(0,0.6,0.2)+4.5,
sd_trt = rep(1.32,4),
nstop = NULL,
replication = 5,
group_allo = 1,
rho_func_index = 2,
rho_func = NULL,
alpha = 2,
sig_level = 0.05
)