“Group-by-Treatment Interaction” [Design Issues]

posted by Helmut Homepage – Vienna, Austria, 2024-10-22 14:47 (170 d 09:59 ago) – Posting: # 24244
Views: 3,810

Hi BEQool,

❝ ❝ ❝ Here agency is asking for the BE of any one of the group, if group-by-treatment interaction is significant (p<0.05).

❝ ❝ 0.1 not 0.05. BTW, did you bother reading the presentation I linked in my OP?


❝ Why would the alpha for G*T interaction be 0.1 and not 0.05 like almost always?


The original post is five years old… At the time being 0.05 indeed. The 0.1 was used by the FDA in analogy of Grizzle’s dreadful test1 for unequal carryover.

“… a preliminary test should be made at some high level of significance, say α = .10 or α = .15”

It is evident that increasing the level of any test to offset inadequate power leads to an increased false positive rate.
BTW, the FDA’s 2022 guidance2 does not specify a particular level but has Grizzle in the references. Even worse, Alosh3 as well:

“To improve the power when testing for an interaction, some suggest using a test size of 0.10 or in extreme cases 0.20, particularly when there is reason to suspect a specific interaction exists. While an increase in the test size makes it easier to detect an interaction, this would be at the expense of an increase in the chance of false positive findings. The choice of the test size can depend on the context and it would be inappropriate to say a specific test size is applicable in all scenarios.”

Make your pick.


  1. Grizzle JE. The Two-Period Change-Over Design and Its Use in Clinical Trials. Biometrics. 1965; 21(2): 467–80. doi:10.2307/2528104.
  2. FDA (CDER). Statistical Approaches to Establishing Bioequivalence. Guidance for Industry. Draft. Silver Spring, MD. December 2022. Download.
  3. Alosh M, Fritsch K, Huque M, Mahjoob K, Pennello G, Rothmann M, Russek-Cohen E, Smith F, Wilson S, Yue L. Statistical Con­si­de­ra­tions on Subgroup Analysis in Clinical Trials. Stat Biopharm Res. 2015; 7(4): 286–304. doi:10.1080/19466315.2015.1077726.

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