RE: var-cov matrix issue?

From: William Bachman Date: February 24, 2009 technical Source: mail-archive.com
As a clarification, this is not an error. It is an indication of a numerical condition generated by the matrix algebra. it says that the covariance could not be calculated by the default method (possibly due to ill conditioning) so it was calculated by an alternative method. You could generate standard errors by an alternative method, e.g. bootstrap, and compare them to those produced by NONMEM to make your decision to trust or not trust the values.
Quoted reply history
________________________________ From: [email protected] [mailto:[email protected]] On Behalf Of Ethan Wu Sent: Tuesday, February 24, 2009 2:09 PM To: [email protected] Cc: [email protected] Subject: Re: [NMusers] var-cov matrix issue? Hi Justin, only ETA was estimated with high SE but, again, I guess it came back to the question: how trustful it is if such error message appears ________________________________ From: "[email protected]" <[email protected]> To: [email protected] Sent: Tuesday, February 24, 2009 1:19:17 PM Subject: Fw: [NMusers] var-cov matrix issue? Dear Ethan, Algorithmically singular matrices are often a sign that that your model is ill-conditioned in some way; I would be careful in how I used the variance-covariance matrix in this scenario, and especially for simulation. Are there any parameters that are being estimated with particularly high standard errors? This might suggest overparamaterization. Not sure how helpful this is! Best Justin Justin Wilkins Senior Modeler Modeling & Simulation (Pharmacology) CHBS, WSJ-027.6.076 Novartis Pharma AG Lichtstrasse 35 CH-4056 Basel Switzerland Phone: +41 61 324 6549 Fax: +41 61 324 3039 Cell: +41 76 561 0949 Email : [email protected] <mailto:[email protected]> ----- Forwarded by Justin Wilkins/PH/Novartis on 2009/02/24 07:15 PM ----- Ethan Wu <[email protected]> Sent by: [email protected] 2009/02/24 07:12 PM To [email protected] cc Subject [NMusers] var-cov matrix issue? Dear all, I recently encounter this error message (below). My objective was to use nonmem var-cov output for approximation of distribution of parameters for performing a simulation. if such error message occur, is the var-cov matrix still OK to use? -- I know that better way to figure out distribution of parameters is to do bootstrap, but given limited time I have..... thanks "0MINIMIZATION SUCCESSFUL NO. OF FUNCTION EVALUATIONS USED: 331 NO. OF SIG. DIGITS IN FINAL EST.: 3.3 ETABAR IS THE ARITHMETIC MEAN OF THE ETA-ESTIMATES, AND THE P-VALUE IS GIVEN FOR THE NULL HYPOTHESIS THAT THE TRUE MEAN IS 0. ETABAR: 0.11E-02 SE: 0.23E-01 P VAL.: 0.96E+00 0S MATRIX ALGORITHMICALLY SINGULAR 0S MATRIX IS OUTPUT 0INVERSE COVARIANCE MATRIX SET TO RS*R, WHERE S* IS A PSEUDO INVERSE OF S 1 "
Feb 24, 2009 Ethan Wu var-cov matrix issue?
Feb 24, 2009 William Bachman RE: var-cov matrix issue?
Feb 24, 2009 Kyunseop Bae RE: var-cov matrix issue?
Feb 24, 2009 Leonid Gibiansky Re: var-cov matrix issue?
Feb 25, 2009 Bob Leary RE: var-cov matrix issue?
Feb 25, 2009 Ethan Wu Re: var-cov matrix issue?
Feb 26, 2009 Ethan Wu Re: var-cov matrix issue?
Feb 27, 2009 Ethan Wu Re: var-cov matrix issue?