95% CI for a test on difference [General Statistics]
Dear David, Dear ElMaestro!
Totally correct.
The equivalence test is TOST (two-one-sided tests) each with alpha=0.05 which is operationally equivalent
to 1-2*alpha CI.
Difference test has a two-sided alternative HA, and thus is dual to an 1-alpha CI, i.e. 95%CI if you set alpha to 0.05.
The 95% CI of the above cited example is
❝ The model is build the same way whether you are assessing difference in means or bioequivalence. The hypothesis are, however, different.
Totally correct.
The equivalence test is TOST (two-one-sided tests) each with alpha=0.05 which is operationally equivalent
to 1-2*alpha CI.
Difference test has a two-sided alternative HA, and thus is dual to an 1-alpha CI, i.e. 95%CI if you set alpha to 0.05.
The 95% CI of the above cited example is
95% CI = 89.86 ... 100.61% (contains 100%)
so no significant treatment effect, same conclusion as via the ANOVA p-value.—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- Relationship between calculated 90% CI and sign. treatment effect in BE GM 2017-03-27 19:40 [General Statistics]
- 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 differenced_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