Re: End of semester MCQ and short answer question
From: "Leonid Gibiansky" leonidg@metrumrg.com
Subject: Re: [NMusers] End of semester MCQ and short answer question
Date: Sun, July 17, 2005 2:14 pm
Nick,
Thanks for the reference, results seems very reasonable: if you ignore zeros,
predicted
concentrations may decay not as fast as they should (leading to lower CL, higher V).
However, this
might be strongly related to the design and sampling. In my examples, fraction of
BQLs was
relatively small (less than 5%), most zeros were very suspicious (related either to
the
non-compliance or data errors) because LLOQ was 3-4 orders of magnitude less than
Cmax while
sampling points were not that far from the dose to warrant zeros. With the good
design, fraction of
BQLs in the data set is small, and efforts that are needed to include those are not
warranted by the
gain that you may get from inclusion of those points.
As to the true values, you may be forced to use special segment of the error model
to account for
the BQL measurements. This can be very similar to LLOQ/2 imputation with BQL
variance fixed at
(LLOQ/2)^2.
My justification of the idea to ignore zeros (or not to use "true" values) is that
we are not
interested in the very fine details of the PK behavior (the deaper you look, the
more compartments
you may descover) and restrict the model to the range of concentrations that are
relevant to your
problem. Sampling should also be consistent with the goal of the study: samples
should be located at
characteristic points of the profiles (while BQLs are definitely not in that
range/position).
One can imagine situations when zeros are important: for example, if there is a
sub-population with
much higher CL: ignoring zeros may hide the fact that concentration decay for a
sub-population is
much faster than was expected, especially if the sample timing was not designed for
the
sup-population with the high CL. But even in this case, BQL values may help you to
discover the
problem with your design, but will not help to build the correct model: it is
difficult to build
correct model based on the very noisy measurement. If you do not have sufficient
non-BQL time points
to define the terminal phase and impute some BQL values (or use the true value that
will be a
reflection of the random noise generated by the instrument), the model for the
subpopulation will be
defined by the timing of the sampling point rather than by the actual CL. If you
have sufficient
number of non-BQL time points to define the terminal phase, ignoring the BQLs should
not adversely
affect the model.
Leonid