Likely to see some significant results from random chance.
What is the chance of making at least one false positive result?
Number of tests: \(m\)
Number of false positive results: \(V\)
\(FWER=P(V>0)\)
The proportion of false discoveries is:
\(Q=\frac{V}{V+S}\)
Where: \(V\) is the number of false positives
\(S\) is the number of true positives
The FRD is \(E[Q]\).
We change the significance level.
reject if \(p\le \frac{\alpha }{m}\)
If \(m=1\) this is the standard test.