Hi everyone,


This has been a great discussion!



Bob:  I’d like to clarify something that Pete, Matt, Ken, and Leonid were
discussing about how the covariance matrix is calculated.  I believe that
NONMEM rescales the values for estimation and then reverses the rescaling
for reporting.  Is the covariance matrix calculated on the rescaled values
or on the final parameter estimate values?



Thanks,



Bill



*From:* owner-nmus...@globomaxnm.com <owner-nmus...@globomaxnm.com> *On
Behalf Of *Bauer, Robert
*Sent:* Wednesday, November 30, 2022 1:53 PM
*To:* 'nmusers@globomaxnm.com' <nmusers@globomaxnm.com>
*Subject:* RE: [NMusers] Condition number



Hello all:

Report of non-positive definiteness or negative eigenvalues, are reported
during the analysis of the R matrix (decomposition and inversion), which
occurs before the correlation matrix is constructed.    Often, this is
caused by numerical imprecision.  If the R matrix step fails, the $COV step
fails to produce a final variance-covariance matrix, and of course, does
not produce a correlation matrix.  If the R matrix inversion step succeeds,
the variance-covariance matrix and its correlation matrix are produced, and
the correlation matrix is then assessed for its eigenvalues.  So, both the
R matrix (first step) and correlation matrix (second step) are decomposed
and assessed.



Robert J. Bauer, Ph.D.

Senior Director

Pharmacometrics R&D

ICON Early Phase

731 Arbor way, suite 100

Blue Bell, PA 19422

Office: (215) 616-6428

Mobile: (925) 286-0769

robert.ba...@iconplc.com

www.iconplc.com





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