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Sep 20, 2021 at 21:21 comment added BigBendRegion This really isn't a standard error issue, it is a standard deviation issue. You could use $n-1$ in the standard deviation estimate in either case, or you could use $n$ in either case. The difference is just because of historical inertia. On the other hand you do need to use $n$ for the standard error in either case.
Sep 20, 2021 at 13:44 comment added whuber This is essentially answered at stats.stackexchange.com/questions/294737 (where the sample values are coded $-1$ and $1$ rather than $0$ and $1$). You can also find an answer (for proportions) at stats.stackexchange.com/questions/284160.
Sep 20, 2021 at 4:08 comment added Alexis Also: Welcome to CV!
Sep 20, 2021 at 2:45 vote accept Dan
Sep 20, 2021 at 1:38 answer added Alexis timeline score: 3
Sep 20, 2021 at 1:31 history edited Alexis CC BY-SA 4.0
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S Sep 20, 2021 at 1:18 review First questions
Sep 20, 2021 at 1:56
S Sep 20, 2021 at 1:18 history asked Dan CC BY-SA 4.0