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

posted by d_labes  – Berlin, Germany, 2017-03-29 16:24 (2874 d 03:22 ago) – Posting: # 17205
Views: 9,861

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 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

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