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Locally optimal designs for binary dose‐response models
Author(s) -
Zhai Yi,
Fang Zhide
Publication year - 2018
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.1002/cjs.11355
Subject(s) - binary number , optimal design , nonlinear system , mathematical optimization , algebraic number , computer science , mathematics , algorithm , statistics , arithmetic , physics , mathematical analysis , quantum mechanics
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