>"0.001[the p value] is the conditional probability of type I error conditioned on the data" From the paper: alpha= probability of type I error So, there are

>"0.001[the p value] is the conditional probability of type I error conditioned on the data" From the paper: alpha= probability of type I error So, there are two equations: p value= p(alpha|data) alpha = E[E[p value|given data]] Substituting we get: alpha = E[E[(alpha|data)|given data]] What is the difference between "given data" and "data"? How do you isolate alpha?