# rejectprob: Rejection Probability Calculation In STARTdesign: Single to Double Arm Transition Design for Phase II Clinical Trials

## Description

Calculate the probability of rejecting the null hypothesis at the end of the second stage in the Single-to-double Arm Transition Design

## Usage

 `1` ```rejectprob(pe,ps,n1,n2,r1,z) ```

## Arguments

 `pe` The response rate of the experimental arm. `ps` The response rate of the standard arm. `n1` The number of subjects in the experiemntal arm in the single-arm stage. `n2` The number of subjects in each arm in the double-arm stage. `r1` The minimum number of responses to achieve in the single-arm stage in order for the trial to proceed into the next stage. `z` The threshold value for the Z test, i.e., the Z statistic should be greater than z in order to reject the null hypothesis at the end of the second stage.

## Value

 `n1` The number of subjects in the experiemntal arm in the single-arm stage. `n2` The number of subjects in each arm in the double-arm stage. `r1` The minimum number of responses to achieve in the single-arm stage in order for the trial to proceed into the next stage.The number of responses observed at the end of single-arm stage should be greater than or equal to r1 for the trial to proceed. `ess0` The expected sample size under the null hypothesis. `ess1` The expected sample size under the alternative hypothesis. `asn` The average sample number taken as the average of ess0 and ess1.

## Author(s)

Haolun Shi <[email protected]>,
Guosheng Yin <[email protected]>

## References

Shi H., Yin G. (2017), START: Single-to-double Arm Transition Design for Phase II Clinical Trials.

## Examples

 `1` ```rejectprob(pe=0.2,ps=0.4,n1=20,n2=40,r1=10,z=qnorm(0.9)) ```

STARTdesign documentation built on Aug. 22, 2017, 9:03 a.m.