Probability to pass multiple studies [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2021-02-19 12:02 (60 d 09:46 ago) – Posting: # 22214
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Dear all (and esp. our expert in probability zizou),

say, we have n studies, each powered at 90%. What is the probability (i.e., power) that all of them pass BE?

Let’s keep it simple: T/R-ratios and CVs are identical in studies 1…n. Hence, p(1) = … =p(n). If the outcomes of studies are independent, is p(pass all) = Π p(i), e.g., for p(i=1…6) = 0.90 = 0.906 ~ 0.53?
Or does each study stand on its own and we don’t have to care? :confused:

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