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jacobgil OP t1_jc2h94t wrote

Yes. I think confidence intervals assume iid. If they are not iid, then the CI could be too short.

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Valuable-Kick7312 t1_jc2ziwy wrote

Thank you for the answer!

Just a few notes: In general, confidence intervals do not assume iid. Moreover, in theory, if the data is not drawn iid then CI can also be smaller. However, I have not encountered this in practice yet.

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