Efficient sampling windows for parameter estimation in mixed effects models

被引:9
作者
Patan, Maciej [1 ]
Bogacka, Barbara [2 ]
机构
[1] Univ Zielona Gora, Inst Control & Computat Engn, Ul Podgorna 50, PL-65246 Zielona Gora, Poland
[2] Univ London, Sch Math Sci, London E1 4NS, England
来源
MODA 8 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS | 2007年
关键词
mixed effects non-linear model; population experimental design; equivalence theorem;
D O I
10.1007/978-3-7908-1952-6_19
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper we present a method of calculating an efficient window design for parameter estimation in a non-linear mixed effects model. We define a window population design on the basis of a continuous design for such a model. The support points of the design belong to intervals whose boundaries are determined in a way which ensures that the efficiency of the design is high; also the width of the intervals is related to the dynamic system's behaviour.
引用
收藏
页码:147 / +
页数:2
相关论文
共 13 条
[1]  
ATKINSON AC, 1992, OPTIMUM EXPT DESIGNM
[2]  
BOGACKA B, 2006, DEFFCIENT WINDOW EXP
[3]  
GRAHAM G, 2006, IN PRESS STAT MED
[4]   Prospective evaluation of a D-optimal designed population pharmacokinetic study [J].
Green, B ;
Duffull, SB .
JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2003, 30 (02) :145-161
[5]   Comparison of some practical sampling strategies for population pharmacokinetic studies [J].
Jonsson, EN ;
Wade, JR ;
Karlsson, MO .
JOURNAL OF PHARMACOKINETICS AND BIOPHARMACEUTICS, 1996, 24 (02) :245-263
[6]   Population pharmacokinetic analysis and optimization of the experimental design for mizolastine solution in children [J].
Mentré, F ;
Dubruc, C ;
Thénot, JP .
JOURNAL OF PHARMACOKINETICS AND PHARMACODYNAMICS, 2001, 28 (03) :299-319
[7]   Optimal design in random-effects regression models [J].
Mentre, F ;
Mallet, A ;
Baccar, D .
BIOMETRIKA, 1997, 84 (02) :429-442
[8]  
PATAN M, 2006, OPTIMUM EXPT DESIGN
[9]   Information matrices with random regressors. Application to experimental design [J].
Pronzato, L .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2002, 108 (1-2) :189-200
[10]   Fisher information matrix for non-linear mixed-effects models:: evaluation and application for optimal design of enoxaparin population pharmacokinetics [J].
Retout, S ;
Mentré, F ;
Bruno, R .
STATISTICS IN MEDICINE, 2002, 21 (18) :2623-2639