## 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 (

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 \(\small{p_{\,\text{pass all}}=\prod_{i=1}^{i=n}p_{\,i}}\),

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?

—

Helmut Schütz

The quality of responses received is directly proportional to the quality of the question asked. 🚮

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*Dif-tor heh smusma*🖖🏼 Довге життя Україна!_{}Helmut Schütz

The quality of responses received is directly proportional to the quality of the question asked. 🚮

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### Complete thread:

- Probability to pass multiple studiesHelmut 2021-02-19 12:02 [Power / Sample Size]
- 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