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MEANING: Variance-covariance matrix
CONTEXT: NONMEM output
DISCUSSION:
NONMEM output refers to "VARIANCE-COVARIANCE" (or "COVARIANCE")
matrices in three contexts:
OMEGA and SIGMA
OMEGA is the variance-covariance matrix for the first level ran-
dom effects ETA. SIGMA is the variance-covariance matrix for the
second-level random effects EPSILON.
Error messages referring to "VARIANCE-COVARIANCE COMPONENTS"
arise from difficulties with the initial estimates of OMEGA
and/or SIGMA, either those supplied by the user, or when no esti-
mates are supplied, with those obtained in NONMEM's Initial Esti-
mates Step. Initial estimates of both OMEGA and SIGMA must be
positive definite.
VAR-COV
Error messages referring to "VAR-COV" (in particular, "ESTIMATED
TO BE SINGULAR" or "ESTIMATED TO BE 0") arise when the variance-
covariance matrix for an individual's data is non-positive defin-
ite. For example, with the error model
Y=F+F*EPS(1)
predicted values for some observations (i.e. values of F) may be
zero or close to 0. Then variances for these observations (which
are proportional to F**2) are also zero, and this gives rise to
such an error message.
COVARIANCE MATRIX OF ESTIMATE
This variance-covariance matrix refers to an estimate of the
variability and covariability of the parameter estimates. It is
computed in the Covariance Step, from the R and S matrices. An
error message from the Covariance Step, stating that one of these
two matrices is non-positive definite, indicates that the minimi-
zation procedure did not find a true or unique minimum
(See covariance).
REFERENCES: Guide I Section C.3.5.2
REFERENCES: Guide IV Section III.B.10, III.B.11
REFERENCES: Guide V Section 5.4, 13.4.3
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