Locally optimal designs for binary dose‐response models. Issue 2 (27th April 2018)

• Record Type: Journal Article
• Authors: Zhai, Yi; Fang, Zhide
• Is Part Of: Canadian journal of statistics. Volume 46:Issue 2(2018)
• Page Start: 336
• Page End: 354
• Publication Date: 2018-04-27
• Subjects: Binary -- cancer research -- dose‐response -- locally optimal designs -- Tchebycheff systems -- MSC 2010: Primary 62K05 -- secondary 62F03; Mathematical statistics -- Periodicals; 519.5
• DOI: 10.1002/cjs.11355
• Languages: English
• ISSNs: 0319-5724

Abstract

Abstract: In this article, we consider the problem of seeking locally optimal designs for nonlinear dose‐response models with binary outcomes. Applying the theory of Tchebycheff Systems and other algebraic tools, we show that the locally D ‐, A ‐, and c ‐optimal designs for three binary dose‐response models are minimally supported in finite, closed design intervals. The methods to obtain such designs are presented along with examples. The efficiencies of these designs are also discussed. The Canadian Journal of Statistics 46: 336–354; 2018 © 2018 Statistical Society of Canada