D-Optimal Design for a Five-Parameter Logistic Model

被引：2

作者：

Manukyan, Zorayr ^{[1
]}

Rosenberger, William F. ^{[2
]}

机构：

[1] EMMES Corp, 401 N Washington St, Rockville, MD 20850 USA

[2] George Mason Univ, Dept Stat, Fairfax, VA 22030 USA

来源：

MODA 9 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS | 2010年

关键词：

D O I：

10.1007/978-3-7908-2410-0_15

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：

We explore the D-optimal design for a five-parameter logistic model, which includes a shape parameter to handle asymmetries, and two threshold parameters to account for situations where the asymptotes are not at 0 and 1. The optimal design is five points, including points at -infinity and infinity representing the thresholds. We compare the efficiencies of the optimal designs arising from the two- and five parameter models. We find a significant loss of efficiency when the two-parameter model is used on data generated from the five-parameter model.

引用

页码：113 / 120

页数：8

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