## 111.11 for NTIDs [Power / Sample Size]

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

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) [1] FALSE
Heck, we want the acceptance range in log-scale to be symmetrical around Zero and not –5·10–6.

Dif-tor heh smusma 🖖🏼 Довге життя Україна!
Helmut Schütz

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