Use of NONMEM With The Standard Two-Stage Estimation Method
Nick Holford was quick to try out the two-stage business described in
recent memos over the past few days. Good thing! He noticed that
the syntax FOCE is used in the control stream, whereas it should
be METH=COND. Please note this regrettable error.
Some of you may wonder (as did Nick) about the form of the equation for Y with
an exponential type residual error model. The usual exponential
type model is
Y = F*EXP(ERR(1)). (A)
With an EXP(ETA(3)) term for the sd of ERR(1), the model looks like
Y = F*EXP(EXP(ETA(3))*ERR(1)) (B)
Of course, because NM-TRAN Version II has certain restrictions on
nested parentheses (removed with NM-TRAN Version III), we may need to write
this as
SD=EXP(ETA(3))
Y = F*EXP(SD)*ERR(1)) (C)
However, whether we use (B) or the constant cv type model that Steve Shafer
and I wrote, viz.
Y = F + F*EXP(ETA(3))*ERR(1), (D)
the results will be the same since a first-order approximation to Y
in epsilon (being represented by ERR(1)) about epsilon=0 is always
used by the NONMEM program.
Lastly, Nick reminds us that at the second stage, the CL values, say,
are "single-subject" type data, that therefore, only one level
of random effects is used to explain the random variability in these data,
and that consequently, only a $OMEGA record is to be used. A $SIGMA record
is not to be used.