Compute stopping boundary crossing probabilities.
gsProbabilityCRT.Rd
Compute stopping boundary crossing probabilities.
Arguments
- theta
Effect size. Default value is 0.
- I
Information levels at interim analyses for which boundary crossing probabilities are computed.
- a
Lower futility boundaries for the interim analyses at the information levels specified by I.
- b
Upper efficacy boundaries for the interim analyses at the information levels specified by I.
- sides
1=
1-sided test (default)2=
2-sided test.- r
Integer value controlling grid for numerical integration as in Jennison and Turnbull (2000); default is 18, range is 1 to 80. Larger values provide larger number of grid points and greater accuracy. Normally
r
will not be changed by the user.
Value
Object containing the following elements:
- k
Number of interim analyses.
- theta
As input.
- I
As input.
- lower
List containing the lower futility boundaries (
bound
) and the corresponding probabilities of crossing the lower boundaries giventheta
(prob
).- upper
List containing the upper efficacy boundaries (
bound
) and the corresponding probabilities of crossing the upper boundaries given theta (prob
).- power
Estimated power for trial.
- futile
Estimated probability of futility for trial
- r
As input.
References
Jennison C and Turnbull BW (2000), Group Sequential Methods with Applications to Clinical Trials. Boca Raton: Chapman and Hall.
Author
Lee Ding lee_ding@g.harvard.edu