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
收藏
页码：113 / 120
页数：8
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