PE at border of the AR: power ≤0.05! [Power / Sample Size]
Dear Detlew,
As usual you are correct.
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.
Rightyright. 2×2×2 crossover, CV 30%, n 12–48:
![[image]](img/uploaded/image367.png)
At GMR 0.8 and sample sizes <49 power starts to drop below 0.05. With n=12 it is only 0.0337.
Leaving the question open: Which is the most powerful test?
❝ Seems your statement "... any sample size ... with power exactly 0.05." is not thoroughly correct .
As usual you are correct.

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:
![[image]](img/uploaded/image367.png)
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?
—
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Helmut Schütz
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Science Quotes
Dif-tor heh smusma 🖖🏼 Довге життя Україна!
![[image]](https://static.bebac.at/pics/Blue_and_yellow_ribbon_UA.png)
Helmut Schütz
![[image]](https://static.bebac.at/img/CC by.png)
The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Complete thread:
- Post hoc Power Jay 2016-01-08 06:49 [Power / Sample Size]
- Post hoc Power ElMaestro 2016-01-08 15:07
- Post hoc Power Helmut 2016-01-09 14:21
- Post hoc Power Jay 2016-01-11 10:59
- PE outside the acceptance range Helmut 2016-01-11 14:02
- PE outside the acceptance range Jay 2016-01-13 08:24
- Power for PE outside the acceptance range d_labes 2016-01-13 11:59
- PE at border of the AR: power ≡ 0.05 Helmut 2016-01-13 12:38
- PE at border of the AR: power ≡ 0.05 ? d_labes 2016-01-13 13:21
- PE at border of the AR: power ≤0.05!Helmut 2016-01-14 01:29
- UMP - uniformly more powerful test d_labes 2016-01-15 20:08
- PE at border of the AR: power ≤0.05! zizou 2016-01-24 22:12
- Smoothing artifact Helmut 2016-01-25 14:15
- PE at border of the AR: power ≤0.05!Helmut 2016-01-14 01:29
- PE at border of the AR: power ≡ 0.05 ? d_labes 2016-01-13 13:21
- PE outside the acceptance range Jay 2016-01-13 08:24
- PE outside the acceptance range Helmut 2016-01-11 14:02
- Post hoc Power Jay 2016-01-11 10:59