PE at border of the AR: power ≤0.05! [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2016-01-14 01:29 (2200 d 19:28 ago) – Posting: # 15825
Views: 10,855

Dear Detlew,

» Seems your statement "... any sample size ... with power exactly 0.05." is not thoroughly correct :cool:.

As usual you are correct. :ok:

Seems that I’ve forgotten my own “Don’t panic!” slide. In the dark ages I used to write in my reports “α ≤0.05” and “≥90% CI” and earned questions.

» Think about "The TOST procedure can be quite conservative, i.e. the achieved Type I error rate may be lower than the nominal 0.05 significance level"1

Rightyright. 2×2×2 crossover, CV 30%, n 12–48:


At GMR 0.8 and sample sizes <49 power starts to drop below 0.05. With n=12 it is only 0.0337.

» or "TOST is not the most powerful test".

Leaving the question open: Which is the most powerful test?

Dif-tor heh smusma 🖖
Helmut Schütz

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