Hush hush baby [Design Issues]

posted by d_labes  – Berlin, Germany, 2013-04-08 13:57 (4817 d 17:21 ago) – Posting: # 10368
Views: 7,620

Dear ElMaestro,

❝ ... I imagine Detlew will recoil in disgust and mention something about n'th order effects so let's not talk too loud for the sake of his blood pressure.


Although a little bit hard of hearing already I have heard your whispering very well!
Thanks for considering my health. But don't care. I regularly take my pills in contrast to a long-haired guy :-D.

❝ ... I believe -could be extremely wrong of course- that this is a normal linear mixed effects model with

❝ stotal,tabs2 on the diagonal of the covariance matrix where observations are with the test tabs.

❝ stotal,caps2 on the diagonal where observations are with the test capsules.

❝ sintra,Ref2+sinter,Ref2 on the diagonal where observations are with Ref.

❝ sinter,Ref2 off-diagonal where Ref's coincide for a given subject.

❝ 0 elsewhere.


Quoting Helmut's late father: “If you don’t want to know, but to believe – go to church.”
IMHO that variance-covariance matrix, although you can do it in C (wow!), is not what such a design would have. What puzzles me is "0 elsewhere" :confused:.
I would expect some inter-subject (co)variance terms on each off-diagonal element like that for 'normal' replicate designs, f.i. partial replicate (written for the sequence TRR, heterogeneous compound symmetry parametrization):
       T            R            R
T  s2bT + s2wT  rho*sbT*sbR     s2bR
R  rho*sbT*sbR  s2bR + s2wR     s2bR
R  rho*sbT*sbR    s2bR       s2bR + s2wR

s2bT=between variance of T, s2wT=within variance of T, sbT=sqrt(s2bT)
s2bR=between variance of R, s2wR=within variance of R, sbR=sqrt(s2bR)


Not in the mood to work out Kens aimed design T1/T2/R/R the same way. See below.


Scott D Patterson and Byron Jones
"REPLICATE DESIGNS AND AVERAGE, INDIVIDUAL, AND POPULATION BIOEQUIVALENCE"
I. Estimation, Inference, and Retrospective Assessment of Performance of Novel Procedures and the Proposed FDA Methods for Bioequivalence Assessment
GSK BDS Technical Report 2002 – 01 (part I)
Online resource posted here no longer found, unfortunately.

Regards,

Detlew

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