Probability to pass multiple studies [Power / Sample Size]
Dear all (and esp. our expert in probability zizou),
say, we have \(\small{n}\) 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 \(\small{1\ldots n}\). Hence, \(\small{p_{\,1}=\ldots=p_{\,n}}\). If the outcomes of studies are independent, is \(\small{p_{\,\text{pass all}}=\prod_{i=1}^{i=n}p_{\,i}}\), e.g., for \(\small{p_{\,1}=\ldots=p_{\,6}=0.90\rightarrow 0.90^6\approx0.53}\)?
Or does each study stand on its own and we don’t have to care?
say, we have \(\small{n}\) 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 \(\small{1\ldots n}\). Hence, \(\small{p_{\,1}=\ldots=p_{\,n}}\). If the outcomes of studies are independent, is \(\small{p_{\,\text{pass all}}=\prod_{i=1}^{i=n}p_{\,i}}\), e.g., for \(\small{p_{\,1}=\ldots=p_{\,6}=0.90\rightarrow 0.90^6\approx0.53}\)?
Or does each study stand on its own and we don’t have to care?

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Helmut Schütz
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Dif-tor heh smusma 🖖🏼 Довге життя Україна!
![[image]](https://static.bebac.at/pics/Blue_and_yellow_ribbon_UA.png)
Helmut Schütz
![[image]](https://static.bebac.at/img/CC by.png)
The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Complete thread:
- Probability to pass multiple studiesHelmut 2021-02-19 12:02
- Probability to pass multiple studies ElMaestro 2021-02-19 12:57
- Power limbo Helmut 2021-02-19 13:37
- Probability to pass multiple studies ? Helmut 2022-06-24 14:03
- Probability to pass multiple studies ElMaestro 2021-02-19 12:57