Optimal designs for the emax, log-linear and exponential models

被引：40

作者：

Dette, H. ^{[1
]}

Kiss, C. ^{[1
]}

Bevanda, M. ^{[1
]}

Bretz, Frank ^{[2
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

[2] Novartis Pharma AG, Stat Methodol, CH-4002 Basel, Switzerland

来源：

BIOMETRIKA | 2010年 / 97卷 / 02期

关键词：

c-optimality; D-optimality; Dose response; EDp-optimality; Tchebycheff system; MICHAELIS-MENTEN MODEL; REGRESSION-MODELS; POINTS;

D O I：

10.1093/biomet/asq020

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We derive locally D- and EDp-optimal designs for the exponential, log-linear and three-parameter emax models. For each model the locally D- and EDp-optimal designs are supported at the same set of points, while the corresponding weights are different. This indicates that for a given model, D-optimal designs are efficient for estimating the smallest dose that achieves 100p% of the maximum effect in the observed dose range. Conversely, EDp-optimal designs also yield good D-efficiencies. We illustrate the results using several examples and demonstrate that locally D- and EDp-optimal designs for the emax, log-linear and exponential models are relatively robust with respect to misspecification of the model parameters.

引用

页码：513 / 518

页数：6

共 14 条

[11] OPTIMAL WEIGHTS FOR EXPERIMENTAL-DESIGNS ON LINEARLY INDEPENDENT SUPPORT-POINTS [J].