Bioequivalence and Bioavailability Forum

95% CI for a test on difference [General Statistics]

posted by d_labes – Berlin, Germany, 2017-03-29 16:24 (2578 d 11:25 ago) – Posting: # 17205
Views: 8,770

Dear David, Dear ElMaestro!

❝ 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 H_A, 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

Complete thread:

Relationship between calculated 90% CI and sign. treatment effect in BE GM 2017-03-27 19:40
- 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
      - 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

95% CI for a test on difference [General Sta­tis­tics]

Complete thread:

95% CI for a test on difference [General Statistics]