R-based reproduction of the estimation process hidden behind NONMEM® Part 2: First-order conditional estimation
Author(s) -
KyunSeop Bae,
DongSeok Yim
Publication year - 2016
Publication title -
translational and clinical pharmacology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.166
H-Index - 6
eISSN - 2383-5427
pISSN - 2289-0882
DOI - 10.12793/tcp.2016.24.4.161
Subject(s) - estimation , reproduction , statistics , nonmem , process (computing) , computer science , mathematics , population , biology , engineering , demography , sociology , ecology , systems engineering , operating system
The first-order conditional estimation (FOCE) method is more complex than the first-order (FO) approximation method because it estimates the empirical Bayes estimate (EBE) for each iteration. By contrast, it is a further approximation of the Laplacian (LAPL) method, which uses secondorder expansion terms. FOCE without INTERACTION can only be used for an additive error model, while FOCE with INTERACTION (FOCEI) can be used for any error model. The formula for FOCE without INTERACTION can be derived directly from the extension of the FO method, while the FOCE with INTERACTION method is a slight simplification of the LAPL method. Detailed formulas and R scripts are presented here for the reproduction of objective function values by NONMEM.
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