Locally optimal designs for some dose–response models with continuous endpoints. Issue 16 (18th August 2018)

• Record Type: Journal Article
• Authors: Zhai, Yi; Fang, Zhide
• Is Part Of: Communications in statistics. Volume 47:Issue 16(2018)
• Page Start: 3803
• Page End: 3819
• Publication Date: 2018-08-18
• Subjects: c-Optimality -- D-optimality -- dose–response -- efficiency -- toxicology.; Primary 62K05 -- 62G35 -- Secondary 62G07; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1361996
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: We consider the problem of constructing static (or non sequential), approximate optimal designs for a class of dose–response models with continuous outcomes. We obtain conditions for a design being D -optimal or c -optimal. The designs are locally optimal in that they depend on the model parameters. The efficiency studies show that these designs have high efficiency when the mis-specification of the initial values of model parameters is not severe. A case study indicates that using an optimal design may result in a significant saving of resources.