Paired design [Power / Sample Size]

posted by Helmut Homepage – Vienna, Austria, 2014-10-02 15:43 (4275 d 15:44 ago) – Posting: # 13644
Views: 15,260

My Capt’n,

sorry to interfere.

❝ in either case we'd be working on y=Blah+e

❝ where Blah has two levels (Before and after, or Test and Reference), leaving out other fixed stuff here because it doesn't affect power.


In your OP you wrote about a 222 design – which has period+sequence in the model. The only application of paired designs I know of (in BA, not BE) are ones where you com­pare PK metrics in steady state to single dose (e.g., AUCτ to AUC in order to assess deviation from linear PK). Naturally we have not sequence here (MD always after SD) and have to assume no period effect.


Edit: Due to +1 df, the paired model is always more powerful than the cross-over.

library(PowerTOST)
known.designs()[c(3, 12), ]
    no design  df df2 steps bk bknif bkni            name
3    1  2x2x2 n-2 n-2     2  2   1/2  0.5 2x2x2 crossover
12 100 paired n-1 n-1     1  2   2/1  2.0    paired means

power.TOST(CV=0.2, n=18, design="2x2x2")
[1] 0.7912399
power.TOST(CV=0.2, n=18, design="paired")
[1] 0.793409

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