Link different thetas to same omega using mu referencing
Hi
Consider the case where we have a categorical (potentially time-varying)
covariate named CAT that can take several values (e.g. 0,1,2,3).
Let's say I want to model CL depending on this categorical covariate (where
parameters are estimated on log-scale).
A simple solution to this would be
IF(CAT.EQ.1) TVCL = THETA(1)
IF(CAT.EQ.2) TVCL = THETA(2)
IF(CAT.EQ.3) TVCL = THETA(3)
I let CL be described by a log-normal distribution with the same omega element
for all CAT values.
CL = EXP(TVCL + ETA(1))
With an omega statement:
$OMEGA 0.1
I now want to switch to the mu referencing framework in NONMEM. Each theta
needs to be reference to a MU value, and to force it to be described by the
same eta I apply the following approach.
MU_1 = THETA(1)
MU_2 = THETA(2)
MU_3 = THETA(3)
IF(CAT.EQ.1) CL = EXP(MU_1 + ETA(1))
IF(CAT.EQ.2) CL = EXP(MU_2 + ETA(2))
IF(CAT.EQ.3) CL = EXP(MU_3 + ETA(3))
With an omega statement:
$OMEGA BLOCK(1) 0.1
$OMEGA BLOCK(1) SAME
$OMEGA BLOCK(1) SAME
where I force the omega element corresponding to ETA1, ETA2 and ETA3 to be the
same.
Is this a valid approach to obtain what I need?
Or is there a simpler way in the mu-referencing framework to link different
thetas to the same omega element?
All the best,
Jacob
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