Denmark Curiosa (1 in 90% CI in 0.8-1.25) [Power / Sample Size]

posted by d_labes  – Berlin, Germany, 2017-02-06 15:54 (3421 d 23:04 ago) – Posting: # 17022
Views: 33,235

Dear zizou,

what a laborious task! :clap:

One minor comment to your code:
The number of sims you used (1e4 as far as I could see) is a little bit low. Especially if you come into regions with power <=0.05.

Another comment to the Danish requirement:
Already in the early days of the evolution of (bio)equivalence tests it was dicovered that another construction of the CI may be used, namely

CI+ = (low, 1)    if high is < 1
CI+ = (1, high)   if low is >1
CI+ = (low, high) if low is <=1 and high is >=1

where low and high are the conventional confidence interval limits.
This construction of the CI always contains GMR=1 and corresponds - like the conventional CI - to a size alpha TOST.
This observation makes the Danish requirement statistical nonsense.
Unfortunately this alternative CI hasn't got further support in the history.

Berger, Hsu
"Bioequivalence Trials, Intersection-Union Tests and Equivalence Confidence Sets"
Statist. Sci. Volume 11, Number 4 (1996), 283-319.

See also here.

Regards,

Detlew

Complete thread:

UA Flag
Activity
 Admin contact
23,655 posts in 4,993 threads, 1,571 registered users;
137 visitors (0 registered, 137 guests [including 23 identified bots]).
Forum time: 15:59 CEST (Europe/Vienna)

Science is simply common sense at its best that is,
rigidly accurate in observation, and
merciless to fallacy in logic.    Thomas Henry Huxley

The Bioequivalence and Bioavailability Forum is hosted by
BEBAC Ing. Helmut Schütz
HTML5