Two tests and one reference [General Sta­tis­tics]

posted by Helmut Homepage – Vienna, Austria, 2018-06-26 13:13 (890 d 11:23 ago) – Posting: # 18967
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Hi libaiyi,

» […] the goal is to prove the equivalence of any two of them (T1 and R or T2 and R). Will the CI still determined as 95% or 90%?

If this is a pivotal study (say you want to demonstrate BE of a capsule (T1) and a tablet (T2) to R which is either a tablet or a capsule) IMHO, you should employ Bonferroni’s 95% which preserves the familywise error rate at 1-(1-0.05/2)2=4.9375%. Reason: When both products are approved, based on ABE a patient my switch from R to T1 or from R to T2.
Slightly off topic: Another story would be one test and two references of different regions. If we ignore tourists, we have two different populations of patients. Then we don’t have to adjust α and go with the 90% CI.

» I also want to know how to select the suitable design between latin squares and William design when there exists three treatment, R T1 T2.

That’s a matter of taste. Williams’ designs are variance-balanced even for carryover (which is not part of the model). Hence, some people (see there) prefer them over Latin Squares. BTW, the EMA’s GL states the six-sequence Williams’ design for the story mentioned above.
More important than the design is the evaluation (see this post).

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