Sample size [Study As­sess­ment]

posted by d_labes  – Berlin, Germany, 2012-10-11 15:10 (5001 d 00:57 ago) – Posting: # 9390
Views: 12,313

Dear Dr_Dan

  Upper acceptance limit = 125 %

❝   Lower acceptance limit = 80 %
❝       Expected ratio T/R = 95.00 %
❝             Target power = 80.00 %
❝         Intra-subject CV = 20.0 %


❝   study     2x2x2        2x2x3       2x2x4
❝   design  crossover   replicated   replicated
❝  ------- ----------- ------------ ------------
❝     N        20          16           10


❝          Estimated power = 83.46802 %


That looks like Bear if I'm right?
Bear has implemented only the power and sample size for the 2x2x2 crossover based on the non-central t-distribution approximation.
For the 3-period and 4-period replicate designs the rules n(2x2x3)=0.75*n(2x2x2) and n(2x2x4)=0.5*n(2x2x2) are used. But rules are rules only.

PowerTOST (exact via Owen's Q-function) gives you for your above settings:
Design   N    power
2x2x2   20  0.834680
2x2x3   14  0.817926
2x2x4   10  0.843312


Of course qualitatively and practically nearly the same.

Regards,

Detlew

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