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RegisterPlausible to me too [Power / Sample Size]
Let P0= P(GMR<U)-P(GMR<L) regardless of what U and L are, as long as they are meaningful (U>L, and not negative). This quantitiy is easuily accessible via Power.TOST. If L and U are BE acceptance limits then P0 is power in a BE trial.
We can rewrite that as
P0=P(GMR in [L,U]), regardless of what U and L are, as long as they are meaningful (U>L, and not negative)
If we define L=0.8 and U=1.25 and GMR is within these limits, then we can say that P0 falls in (is composed of) three categories:
1. Those that have GMR in [L, 1.0]
2. Those that have GMR in [1.0, U]
3. Anything that isn’t 1 or 2.
Because “3” is anything else than 1 or 2, P1+P2+P3=P0.
and because 1 and 2 are mutually exclusive (can’t fall in both categories), except the zero-prob of GMR exactly 1.0. P1 and P2 are meaningfully additive, and P1+P2 will thus be the probability of having a passing study in which 1.0 isn’t in the acceptance range when L=0.8 and U=1.25. The probability we are looking for is P3, because this is a study fulfiling P(GMR in [L,U]) but not those that have GMR in [L, 1.0] and not those that have GMR in [1.0, U], therefore P3=P0-P1-P2, so we just plug in the relevant limits in Power.TOST and Bob’s your uncle.
We can rewrite that as
P0=P(GMR in [L,U]), regardless of what U and L are, as long as they are meaningful (U>L, and not negative)
If we define L=0.8 and U=1.25 and GMR is within these limits, then we can say that P0 falls in (is composed of) three categories:
1. Those that have GMR in [L, 1.0]
2. Those that have GMR in [1.0, U]
3. Anything that isn’t 1 or 2.
Because “3” is anything else than 1 or 2, P1+P2+P3=P0.
and because 1 and 2 are mutually exclusive (can’t fall in both categories), except the zero-prob of GMR exactly 1.0. P1 and P2 are meaningfully additive, and P1+P2 will thus be the probability of having a passing study in which 1.0 isn’t in the acceptance range when L=0.8 and U=1.25. The probability we are looking for is P3, because this is a study fulfiling P(GMR in [L,U]) but not those that have GMR in [L, 1.0] and not those that have GMR in [1.0, U], therefore P3=P0-P1-P2, so we just plug in the relevant limits in Power.TOST and Bob’s your uncle.
—
Pass or fail!
ElMaestro
Pass or fail!
ElMaestro
Complete thread:
- Denmark Curiosa (1 in 90% CI in 0.8-1.25) zizou 2017-02-05 02:03 [Power / Sample Size]
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- 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 tooElMaestro 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
Ing. Helmut Schütz