Intrasubject CV from 2x4x4 replicate crossover [Power / Sample Size]
Dear Earlybird,
you need to know the sample size additional to the numbers given by you.
Then you can use the formula
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
.
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
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
Hope this helps.
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

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
Regards,
Detlew
Complete thread:
- Intrasubject CV from replicate design earlybird 2010-11-24 16:34 [Power / Sample Size]
- Intrasubject CV from replicate design Helmut 2010-11-24 18:47
- Intrasubject CV from replicate design earlybird 2010-11-25 07:58
- Boss button Helmut 2010-11-25 13:54
- Boss button earlybird 2010-11-26 10:20
- Boss button Helmut 2010-11-25 13:54
- Intrasubject CV from replicate design earlybird 2010-11-25 07:58
- Intrasubject CV from 2x4x4 replicate crossoverd_labes 2010-11-25 08:19
- Intrasubject CV from 2x4x4 replicate crossover earlybird 2010-11-25 11:08
- Intrasubject CV from CI with power to R d_labes 2010-11-25 10:11
- Bravo! Helmut 2010-11-25 14:08
- Bravo ... oh! d_labes 2010-11-25 14:47
- PowerTOST for R Helmut 2010-12-23 03:42
- Bravo ... oh! d_labes 2010-11-25 14:47
- Bravo! Helmut 2010-11-25 14:08
- Intrasubject CV from replicate design Helmut 2010-11-24 18:47