Denmark Curiosa (1 in 90% CI in 0.8-1.25) [Power / Sample Size]
Dear zizou,
what a laborious task!
One minor comment to your code:
The number of sims you used (
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
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.
what a laborious task!

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
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
Regards,
Detlew
Complete thread:
- Denmark Curiosa (1 in 90% CI in 0.8-1.25) zizou 2017-02-05 02:03 [Power / Sample Size]
- Kudos! Helmut 2017-02-05 19:16
- Kudos! ElMaestro 2017-02-05 21:15
- Joking! Helmut 2017-02-06 13:27
- Thanks, and DKMA ElMaestro 2017-02-06 13:46
- Power with a Danish twist Helmut 2017-02-07 15:23
- Danish ultra-conservatism d_labes 2017-02-08 10:57
- Danish ultra-conservatism Helmut 2017-02-08 11:47
- Danish ultra-conservatism d_labes 2017-02-08 10:57
- Power with a Danish twist Helmut 2017-02-07 15:23
- Thanks, and DKMA ElMaestro 2017-02-06 13:46
- Kudos to ElMaestro! d_labes 2017-02-06 15:06
- Plausible Helmut 2017-02-06 17:16
- Plausible to me too d_labes 2017-02-06 20:25
- Plausible to me too ElMaestro 2017-02-06 22:30
- Plausible to me too zizou 2017-02-06 22:42
- THX d_labes 2017-02-07 10:01
- Plausible to me too d_labes 2017-02-06 20:25
- Plausible Helmut 2017-02-06 17:16
- Joking! Helmut 2017-02-06 13:27
- Kudos! ElMaestro 2017-02-05 21:15
- 3D Helmut 2017-02-06 13:47
- Denmark Curiosa (1 in 90% CI in 0.8-1.25)d_labes 2017-02-06 14:54
- Denmark Curiosa (1 in 90% CI in 0.8-1.25) zizou 2017-02-08 21:03
- Alternative CI for BE decision d_labes 2017-02-09 11:18
- Alternative CI for BE decision ElMaestro 2017-02-09 11:36
- Alternative CI for BE decision d_labes 2017-02-09 11:48
- How decidedly odd ElMaestro 2017-02-09 13:28
- How decidedly odd zizou 2017-02-09 14:42
- How decidedly odd ElMaestro 2017-02-09 13:28
- Alternative CI for BE decision Helmut 2017-02-09 13:41
- No alternative d_labes 2017-02-09 20:37
- No alternative ElMaestro 2017-02-10 13:51
- No alternative? mittyri 2017-02-10 15:28
- Dinamarka? d_labes 2017-02-10 20:10
- OT: Czech beer d_labes 2017-02-10 19:57
- No alternative? mittyri 2017-02-10 15:28
- No alternative ElMaestro 2017-02-10 13:51
- No alternative d_labes 2017-02-09 20:37
- Alternative CI for BE decision d_labes 2017-02-09 11:48
- Alternative CI for BE decision ElMaestro 2017-02-09 11:36
- Alternative CI for BE decision d_labes 2017-02-09 11:18
- Denmark Curiosa (1 in 90% CI in 0.8-1.25) zizou 2017-02-08 21:03
- Denmark Curiosa (1 in 90% CI in 0.8-1.25): Gone Helmut 2019-11-08 12:47
- Kudos! Helmut 2017-02-05 19:16