-4- Compute Confidence Interval

Let’s assume you have planned a two-sided 3-stage Pocock design with 80% power.

two-sided-three-stage-pocock-setup

The resulting design requires a drift of about 3.

two-sided-three-stage-pocock-resulttwo-sided-three-stage-pocock-result

During the study you perform the interim analysis as planned when about 67% of all samples were collected and obtain a standardized effect size of 2.5, exceeding the critical bound (2.2894) so that you can abort the study and reject H0.

To compute the confidence interval at this point, open option -4- of GroupSeq and enter the values as shown below.

task-4-CI-setup

Hitting CALCULATE yields the following.

task-4-CI-result

So for this study, the resulting confidence interval of the standardized effect is (0.30, 5.38).

Depending on the underlying data distribution and applied test statistic this will be “back-calculated” to obtain the confidence interval for the value of interest (e.g. mean difference for some normally distributed data or difference in proportions of some binomially distributed data).