Seems like the mail below from last week never appeared on the nmusers.
Probably the discussion became too long (or too hair-splitting.).

 

Best regards,

Mats

 

Mats Karlsson, PhD

Professor of Pharmacometrics

Dept of Pharmaceutical Biosciences

Uppsala University

Sweden

 

Postal address: Box 591, 751 24 Uppsala, Sweden

Phone +46 18 4714105

Fax + 46 18 4714003

 

From: mats karlsson [mailto:mats.karls...@farmbio.uu.se] 
Sent: Tuesday, November 02, 2010 11:31 AM
To: 'Stephen Duffull'; 'Nick Holford'; 'nmusers@globomaxnm.com'
Subject: RE: [NMusers] Rational of using IOV

 

Hi Steve,

 

When you say BSV is not design-specific, do you with BSV mean the
variability in parameter value between subjects at any given instance, or
the variability in their average parameter value over 1 hour or over 1 year?
With each of these definitions and in the presence of time-varying
parameters, BSV is different. Whenever we have variability in parameters
over time, our ability to capture and distinguish between random effects
will be dependent on our design. If you have IIV, IOV and RV present, all
three will become design-dependent in the sense I think you used the word.
I would say that none of them are design-dependent, but the information in
data and our ability in postulating appropriate models is under many
situations not sufficient to capture all variability adequately. In
particular parameter time-variation is difficult to both capture and model
appropriately.

 

I have no definition of nuisance parameters, I just tried to echo your use.
With respect to your definition of them, I would say that no parameter has
unlimited interest, but in a model I am interested in, no estimated
parameter has no interest. (and now I'm quite sure I'm splitting hairs.)

 

Best regards,

Mats

 

 

 

Mats Karlsson, PhD

Professor of Pharmacometrics

Dept of Pharmaceutical Biosciences

Uppsala University

Sweden

 

Postal address: Box 591, 751 24 Uppsala, Sweden

Phone +46 18 4714105

Fax + 46 18 4714003

 

From: Stephen Duffull [mailto:stephen.duff...@otago.ac.nz] 
Sent: Tuesday, November 02, 2010 9:05 AM
To: mats.karls...@farmbio.uu.se; 'Nick Holford'; nmusers@globomaxnm.com
Subject: RE: [NMusers] Rational of using IOV

 

Hi Mats

 

I agree that if a mechanistic quality can be used to determine BOV then I
think this would provide a very strong argument for duration of the
occasion.  I believe that this falls into my overarching statement "The
duration of the occasion would need to be indexed to the substantive
inferences of the model to ensure that any influence that BOV has can be
assessed in terms of model predictions.".

 

My interpretation of nuisance parameter is perhaps slightly different from
your use - I was using a more general sense to indicate a non-ignorable
parameter for which the value was of limited or no interest.  As a general
rule, although I am sure there are exceptions, BSV and RUV are non-design
specific.  The ability to estimate these parameters accurately and reliably
is of course related to the design.  The value of BOV as well as the ability
to estimate the value is design specific and hence I am more inclined to
include BOV in the non-ignorable but (design specific) interest.  I would
not consider BSV to be nuisance, RUV is equivocal.  I suspect I am splitting
hairs at this stage. 

 

Regards

 

Steve

--

 

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