CumAlpha: Cumulative Alpha with various z's and ti
Description
Cumulative alpha values with repeated hypothesis with changing bound z-value and time of test (ti).
Usage
CumAlpha(z, side=2, ti=NULL, c0=NULL, Seed=5)
Value
The result is a matrix.
ti
time of test
cum.alpha
cumulative alpha valued
Arguments
z
vector of upper z-value bounds for the repeated hypothesis test
side
1=one-side test, 2=two-side test
ti
vector of times (or information amount) of test. All values should be [0, 1] and sorted. If not specified, equal interval is assumed.
c0
correlation matrix. if not specified, Brownian motion assummed.
Seed
seed value for mtvtnorm::pmvnorm function
Author
Kyun-Seop Bae k@acr.kr
Details
It calculates cumulative alpha-values for the repeated hypothesis test with a vector of upper bound z-value. If the times of test is not specified, linear (proportional) increase of information amount and Brownian motion of z-value, i.e. the correlation is sqrt(t_i/t_j).
References
Reboussin DM, DeMets DL, Kim K, Lan KKG. Computations for group sequential boundaries using the Lan-DeMets function method. Controlled Clinical Trials. 2000;21:190-207.