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| $OMEGA |
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MEANING: Supplies initial estimates for the NONMEM OMEGA Matrix
CONTEXT: NM-TRAN Control Record
USAGE:
$OMEGA [DIAGONAL(n)|BLOCK(n)|BLOCK(n) SAME|BLOCK SAME]
[[value1] [value2] [value3] ... [FIXED]]
SAMPLE:
$OMEGA BLOCK(3) 6. .005 .3 .0002 .006 .4
DISCUSSION:
Gives initial estimates and constraints for elements of one or several
blocks of the OMEGA matrix, i.e., the matrix of variances and covari-
ances of the eta variables in the statistical model. This record
should appear only if the statistical model contains eta variables.
Multiple $OMEGA records may be used to define multiple blocks of
OMEGA. The order of the appearance of all blocks over all records
corresponds to the order of the blocks in OMEGA.
OPTIONS:
There are three forms:
1. $OMEGA [DIAGONAL(n)] [ v11 v22 v33 ... vnn ]
This gives the initial estimates of the diagonal elements of a
diagonal block of OMEGA. E.g.,
$OMEGA .04 .12
Initial estimate of variance of eta(1) = .04
Initial estimate of variance of eta(2) = .12
Each value may optionally be coded with one of the forms:
init FIXED (init FIXED) (FIXED init)
Option FIXED indicates that the variance is to be held fixed to
the given initial estimate. (When FIXED appears anywhere, then
the block is described by NONMEM as consisting of separate
blocks, each of dimension one.)
2. $OMEGA BLOCK(n) [ v11 v21 v22 v31 v32 v33 ... vn1 vn2 ... vnn ]
This gives the initial estimates of all the elements of a nondi-
agonal ("full") block of OMEGA. E.g.,
$OMEGA BLOCK(2) .04 .002 .12
Initial estimate of variance of eta(1) = .04
Initial estimate of covariance of eta(2), eta(1) = .002
Initial estimate of variance of eta(2) = .12
If FIXED appears anywhere among the list of values, the entire
block is fixed.
3. $OMEGA BLOCK(n) SAME
This describes a block whose initial estimates, as well as final
estimates, are constrained to be equal to those of the preceding
block. Values may not be given. "(n)" may be omitted.
If the values are omitted in forms 1 or 2, then NONMEM will try to
obtain initial estimates.
REFERENCES: Guide I Section C.3.4.6, D.5.2, D.5.3
REFERENCES: Guide IV Section III.B.10, V.C.6
REFERENCES: Guide V Section 9.3
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