## CVw in Phoenix RSABE-template [Software]

❝ Do I get you right that you want to get the within-subject within-subject $$\small{CV_\text{w}}$$?

Yes you are right.

❝ [...] I got for the EMA’s Example Data Set I: 41.620277

Thank you for the explanation and equations, I get the same CVw for the EMA Data Set I.

❝ BTW, why do you need it?

Because I want to get CVw from a full replicate (n=10) pilot study and the a) CVw obtained with your equation (1) does not match (not even close) b) CVw obtained from the 90% CI with CVfromCI (PowerTOST in R).

a )
Var(Period*Formulation*Subject)_21=0.020549392
Var(Period*Formulation*Subject)_22=0.18248611

CVw=SQRT(EXP((0.020549392+0.18248611)/2)-1)= 32.7%

b)
Lower=80.633903
Upper=122.74948

CVfromCI(lower=.80633903,upper=1.2274948,design="2x2x4",n=10) [1] 0.4048149 --> 40.5%

Why is there such a difference here between the two CVw? The study is balanced with complete data. Can the reason be a relatively big difference between variability of test and reference?

BEQool

BTW

❝ $$s_\text{w}^2=\frac{s_\text{wR}^2+s_\text{wR}^2}{2}\tag{1}$$

and

❝ You should get a table with the estimated $$\small{s_\text{wR}^2}$$ in the first row and $$\small{s_\text{wR}^2}$$ in the second.

A small typo here - $$\small{s_\text{wR}^2}$$ appears twice