Theoretical questions about cross-over model [General Sta­tis­tics]

posted by Jérôme Martin  – France, 2013-08-27 20:28 (4675 d 13:09 ago) – Posting: # 11363
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Hello everybody,

I have theoretical questions about computing BE and making the link with statistical model. Considering the statistical linear model for cross-over design :
Xijlk = µ + Tl + Pk + SEj + SUi|SEj + eijkl

With:
Xijlk: ln-transformed response
µ: overall mean
Tl: fixed formulation effect
Pk: fixed period effect
SEj: fixed sequence effect
SUi|SEj: random effect of the ith subject in the jth sequence (nested)
eijkl: independent random effects

I have two questions:
1/ did I write this statistical model correctly for a 2x2x2 cross-over design? I assume T + P + SE + SU|SE are the CVinter and eijkl the CVintra. I am right? Why in the bebac presentations there is multiplicative model roughly the same with “*” instead of “+” and withoud the nested part “SUi|SEj” I have found in other references? Any relevant links?
2/ in PowerTOST (nice package!), I enter the T/R ratio when I use the power.TOST() function (I suppose that’s T in my model) and CVintra that corresponds to eijkl, did it suppose that there is no effect of P (period), SE (sequence) and SU|SE (subject nested in sequence)?

Thanks to the people who will try to respond to these deep questions for me!

Jérôme

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