Efficient computational algorithm for optimal continuous experimental designs

被引:4
|
作者
Duan, Jiangtao [1 ]
Gao, Wei [1 ]
Ng, Hon Keung Tony [2 ]
机构
[1] Northeast Normal Univ, Key Lab Appl Stat MOE, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
[2] Southern Methodist Univ, Dept Stat Sci, Dallas, TX 75275 USA
基金
中国国家自然科学基金;
关键词
Continuous experimental design; D-optimal; A-optimal; Regression model;
D O I
10.1016/j.cam.2018.09.046
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A simple yet efficient computational algorithm for computing the continuous optimal experimental design for linear models is proposed. An alternative proof of the monotonic convergence for D-optimal criterion on continuous design spaces is provided. We further show that the proposed algorithm converges to the D-optimal design. We also provide an algorithm for the A-optimality and conjecture that the algorithm converges monotonically on continuous design spaces. Different numerical examples are used to demonstrate the usefulness and performance of the proposed algorithms. (C) 2018 Elsevier B.V. All rights reserved.
引用
下载
收藏
页码:98 / 113
页数:16
相关论文
共 50 条
  • [1] Efficient computational algorithms for approximate optimal designs
    Duan, Jiangtao
    Gao, Wei
    Ma, Yanyuan
    Ng, Hon Keung Tony
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2022, 92 (04) : 764 - 793
  • [2] On Optimal Designs for Nonlinear Models: A General and Efficient Algorithm
    Yang, Min
    Biedermann, Stefanie
    Tang, Elina
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2013, 108 (504) : 1411 - 1420
  • [3] An Efficient Algorithm for Constructing Bayesian Optimal Choice Designs
    Kessels, Roselinde
    Jones, Bradley
    Goos, Peter
    Vandebroek, Martina
    JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 2009, 27 (02) : 279 - 291
  • [4] ALGORITHM FOR CONSTRUCTION OF D-OPTIMAL EXPERIMENTAL DESIGNS
    MITCHELL, TJ
    TECHNOMETRICS, 1974, 16 (02) : 203 - 210
  • [5] An algorithm for the construction of "D-optimal" experimental designs
    Mitchell, TJ
    TECHNOMETRICS, 2000, 42 (01) : 48 - 54
  • [6] Optimal experimental designs for dose–response studies with continuous endpoints
    Tim Holland-Letz
    Annette Kopp-Schneider
    Archives of Toxicology, 2015, 89 : 2059 - 2068
  • [7] Efficient computational algorithm for optimal allocation in regression models
    Gao, Wei
    Chan, Ping Shing
    Ng, Hon Keung Tony
    Lu, Xiaolei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 261 : 118 - 126
  • [8] A Framework for Efficient Process Development Using Optimal Experimental Designs
    Peter van de Ven
    Sabina Bijlsma
    Erik Gout
    Kees van der Voort Maarschalk
    Uwe Thissen
    Journal of Pharmaceutical Innovation, 2011, 6 : 24 - 31
  • [9] A Framework for Efficient Process Development Using Optimal Experimental Designs
    van de Ven, Peter
    Bijlsma, Sabina
    Gout, Erik
    Maarschalk, Kees van der Voort
    Thissen, Uwe
    JOURNAL OF PHARMACEUTICAL INNOVATION, 2011, 6 (01) : 24 - 31