D-optimal designs for logistic models with three and four parameters

被引：40
作者：
Li, Gang [1 ]
Majumdar, Dibyen [2 ]
机构：
[1] GlaxoSmithKline Inc, Collegeville, PA 19426 USA
[2] Univ Illinois, Chicago, IL 60607 USA
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2008年 / 138卷 / 07期
关键词：
local optimality; D-optimality; nonlinear models; growth curve; T-system; saturated designs; minimally supported designs;
D O I：
10.1016/j.jspi.2007.07.010
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Logistic functions are used in different applications, including biological growth studies and assay data analysis. Locally D-optimal designs for logistic models with three and four parameters are investigated. It is shown that these designs are minimally supported. Efficiencies are computed for equally spaced and uniform designs. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：1950 / 1959
页数：10
相关论文
共 23 条
[1]  
Atkinson A.C., 1992, OPTIMUM EXPT DESIGNS
[2]   OPTIMAL BAYESIAN DESIGN APPLIED TO LOGISTIC-REGRESSION EXPERIMENTS [J].
CHALONER, K ;
LARNTZ, K .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1989, 21 (02) :191-208
[3]   LOCALLY OPTIMAL DESIGNS FOR ESTIMATING PARAMETERS [J].
CHERNOFF, H .
ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (04) :586-602
[4]  
Davidian M, 1993, J Biopharm Stat, V3, P23, DOI 10.1080/10543409308835047
[5]  
Davidian M., 1995, NONLINEAR MODELS REP
[6]   Optimal designs for a class of nonlinear regression models [J].
Dette, H ;
Melas, VB ;
Pepelyshev, A .
ANNALS OF STATISTICS, 2004, 32 (05) :2142-2167
[7]   Bayesian D-optimal designs for exponential regression models [J].
Dette, H ;
Neugebauer, HM .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1997, 60 (02) :331-349
[8]  
Fedorov VV., 1972, THEORY OPTIMAL EXPT
[9]  
FORD I, 1992, J ROY STAT SOC B MET, V54, P569
[10]   D- and c-optimal designs for exponential regression models used in viral dynamics and other applications [J].
Han, C ;
Chaloner, K .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 115 (02) :585-601
123