111.11 for NTIDs [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2018-02-06 01:12 (2323 d 04:23 ago) – Posting: # 18361
Views: 20,197

Hi Astea,

❝ ❝ I’m not willing to accept 111.11%. Heck, with an acceptable ∆ of 10% we get \(100(1-\Delta)^{-1}=111.1\dot{1}\) – nothing else! I will not forget my second-grade math only cause it’s claimed ex cathedra by the oracle. Had to swallow already rounding of the CI. Double rounding? Gimme a break!

❝ Then why do we use 80,00? "Because in the former case the numbers look nicer and are easier to remember :-D

Yep, I’ve been there.

❝ Of course 111.00 is nonsense and should be forgotten.

Like 111.11. Every idiot should see that \(\sqrt{0.9\times 0.9^{-1}}=\sqrt{0.9/0.9}=1\) which is not the fucking same as
\(\sqrt{0.9\times 1.1111}=0.9999949999874999374996093722656\ldots\)
In R-speak:
identical(sqrt(0.9*0.9^-1), 1)
[1] TRUE
identical(sqrt(0.9*1.1111), 1)

Heck, we want the acceptance range in log-scale to be symmetrical around Zero and not –5·10–6. :angry:

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