Re: population size and confidence power
From: "Leonid Gibiansky" leonidg@metrumrg.com
Subject: Re: [NMusers] population size and confidence power
Date: Mon, April 4, 2005 3:27 pm
Lin,
SAS will not help you. You will need either a good consultant who knows the drug and
can estimate
the size based on his/her knowledge and intuition and/or a simulation study. The
population size
will depend on:
Study design (dosing and sample times)
Complexity of the PK behavior (one-exponential vs two-exponential vs. three
exponential decay,
linear or nonlinear, etc.)
Precision of the PK measurements (intra-patient PK variability)
Variability of the PK parameters (inter-patient PK variability)
Precision of the PD measurements (intra-patient PD variability)
Variability of the PK/PD parameters (inter-patient PK/PD variability)
When you know these parameters (or guess based on either earlier studies or similar
drugs), you
simulate the study, fit the model and look on the results (parameter bias,
precision, confidence
interval of the parameter estimates). You may need to do it more than once to
investigate how
results depend on your assumptions. Simulations may include extra layer or
uncertainty (about
population parameters: rather than select values for simulations you may assume
their distributions).
As a rough estimate, 6 is definitely too small, 1000 should be sufficient. I would
say 200-300
should be sufficient unless you have a high variability of PK and/or PK/PD
parameters or strong
non-linearity.
Leonid