Intrasubject CV from 2x4x4 replicate crossover [Power / Sample Size]

posted by d_labes  – Berlin, Germany, 2010-11-25 09:19 (5694 d 14:22 ago) – Posting: # 6216
Views: 9,852

Dear Earlybird,

you need to know the sample size additional to the numbers given by you.

Then you can use the formula
  [L,U]=log(point)+t(1-alpha,3*N-4)*s*sqrt(1/N)
where L=log(lower) and U=log(upper) (see Chapter 9.4.2 of Chow and Liu (2009)) to obtain s by a little algebra, easy for you :cool:.
N is the total sample size and it is assumed that each sequence has the same number of subjects assigned.
If not, the square root reads sqrt(1/16*(1/n1 + 1/n2 +1/n3 +1/n4)) where the ni are the numbers of subjects assigned to the four sequences.

The degrees of freedom for the critical t-value are without carry over in the model. If your numbers are from a model with carry-over reduce them by 1.

From the obtained s you get the coefficient of variation according to the well known formula
  CV=sqrt(exp(s2)-1)*100   (in %)

Hope this helps.

Regards,

Detlew

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