Les modèles non linéaires à effets mixtes - Isped
Les modèles non linéaires à effets mixtes - Isped
Les modèles non linéaires à effets mixtes - Isped
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Some existing methods<br />
2. Methods based on approximations of the likelihood<br />
First order methods (FO, Beal and Sheiner, 1982)<br />
φ i = µ + η i<br />
y ij ≈ a(t ij , µ) + da<br />
dt a(t ij, µ)η i + b(t ij , µ)ε ij<br />
i) NONMEM package (very popular in pharmacokinetics)<br />
ii) SAS proc NLMIXED (using the method=firo option)<br />
First order conditional methods (FOCE, Lindstrom and Bates, 1990)<br />
y ij ≈ a(t ij , ˆφ i ) + da<br />
dt a(t ij, ˆφ i )(φ i − ˆφ i ) + b(t ij , ˆφ i )ε ij<br />
ˆφ i maximizes the conditional distribution p(φ i |y i ; θ)<br />
i) NONMEM package (FOCE option)<br />
ii) SAS proc NLMIXED (using the method=eblup option)<br />
iii) Splus/R function NLME<br />
Sminaire ”Statistique et Sant Publique”, Bordeaux - 8 novembre 2005, p.20
Change language