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Helmut wrote:
"The inclusion of a 100(1–2α) confidence interval within the common acceptance range [L, U] of 80–125% is operationally equivalent to Two One-Sided t-Tests (TOST). One t-test is for ≤80% and the other one for ≥125%, both at a level of α 0.05."
Two tests (<80%, >125%), each with a 5% chance to fail, 5+5=10, gives an overall 10% chance to fail... Therefore 90% CI is equivalent to the TOST with 5% each.
"The inclusion of a 100(1–2α) confidence interval within the common acceptance range [L, U] of 80–125% is operationally equivalent to Two One-Sided t-Tests (TOST). One t-test is for ≤80% and the other one for ≥125%, both at a level of α 0.05."
Two tests (<80%, >125%), each with a 5% chance to fail, 5+5=10, gives an overall 10% chance to fail... Therefore 90% CI is equivalent to the TOST with 5% each.
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Kindest regards, nobody
Kindest regards, nobody
Complete thread:
- Relationship between calculated 90% CI and sign. treatment effect in BE GM 2017-03-27 19:40 [General Statistics]
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- 1–2α CI and TOST at α 0.05 Helmut 2017-03-27 23:47
- 1–2α CI and TOST at α 0.05 GM 2017-03-28 06:50
- 1–2α CI and TOST at α 0.05 DavidManteigas 2017-03-28 11:48
- 1–2α CI and TOST at α 0.05 ElMaestro 2017-03-28 13:12
- alpha TOST is not alpha 2-sided d_labes 2017-03-28 15:12
- Interesting! ElMaestro 2017-03-28 21:10
- Google has the answer d_labes 2017-03-29 08:20
- Interesting! DavidManteigas 2017-03-29 11:16
- Interesting! ElMaestro 2017-03-29 11:20
- Interesting! DavidManteigas 2017-03-29 12:28
- 95% CI for a test on difference d_labes 2017-03-29 14:24
- Interesting! GM 2017-03-29 20:06
- Interesting!nobody 2017-03-30 08:24
- Interesting! DavidManteigas 2017-03-29 12:28
- Interesting! ElMaestro 2017-03-29 11:20
- Interesting! ElMaestro 2017-03-28 21:10
- alpha TOST is not alpha 2-sided d_labes 2017-03-28 15:12
- Relationship between calculated 90% CI and sign. treatment effect in BE GM 2017-03-29 12:11
- Relationship between calculated 90% CI and sign. treatment effect in BE DavidManteigas 2017-03-29 12:30
- 1–2α CI and TOST at α 0.05 ElMaestro 2017-03-28 13:12
- 1–2α CI and TOST at α 0.05 DavidManteigas 2017-03-28 11:48
- 1–2α CI and TOST at α 0.05 GM 2017-03-28 06:50
- 1–2α CI and TOST at α 0.05 Helmut 2017-03-27 23:47
Ing. Helmut Schütz