Control the type 1 error

Hello, everyone!

In my reasearch I have two primary endpoints - overall survival and progression-free survival. I test the superiority hypothesis H0: hazard ratio more than superiority margin and Ha is hazard ratio is less than superiority margin. And my question is: What method of control type I error may used if I want to prove two hypotheses of superiority at the same time (simultaneously)?

Many thanks!


Less is more. Stay pure. Stay poor.
If you want to be cautious you just increase the alpha level, so a wider confidence interval needs to exclude the margin.