A note on D-optimal designs for a logistic regression model

被引:16
|
作者
Sebastiani, P [1 ]
Settimi, R [1 ]
机构
[1] CITY UNIV LONDON, DEPT STAT & ACTUARIAL SCI, LONDON EC1V 0HB, ENGLAND
关键词
D-optimality; efficiency; logistic regression;
D O I
10.1016/S0378-3758(96)00111-5
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 prove that a 2 point design suggested by Ford el al. (J.Roy. Statist. Sec. Set B54 (1992), 569-583) for a simple logistic regression model is D-optimal. We also propose designs which give efficient alternatives to the D-optimal designs and require less information on the parameters.
引用
收藏
页码:359 / 368
页数:10
相关论文
共 50 条
  • [1] Separation in D-optimal experimental designs for the logistic regression model
    Park, Anson R.
    Mancenido, Michelle V.
    Montgomery, Douglas C.
    [J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2019, 35 (03) : 776 - 787
  • [2] D-optimal designs for logistic regression in two variables
    Haines, Linda M.
    Kabera, Gaetan
    Ndlovu, Principal
    O'Brien, Timothy E.
    [J]. MODA 8 - ADVANCES IN MODEL-ORIENTED DESIGN AND ANALYSIS, 2007, : 91 - +
  • [3] Minimax D-optimal designs for the logistic model
    King, J
    Wong, WK
    [J]. BIOMETRICS, 2000, 56 (04) : 1263 - 1267
  • [4] Comparing D-optimal designs with common mixture experimental designs for logistic regression
    Mancenido, Michelle V.
    Pan, Rong
    Montgomery, Douglas C.
    Anderson-Cook, Christine M.
    [J]. CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 2019, 187 : 11 - 18
  • [5] On the Choice of a Prior for Bayesian D-Optimal Designs for the Logistic Regression Model with a Single Predictor
    Abebe, Haftom T.
    Tan, Frans E. S.
    Van Breukelen, Gerard J. P.
    Serroyen, Jan
    Berger, Martijn P. F.
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2014, 43 (07) : 1811 - 1824
  • [6] D-optimal designs for the two-variable binary logistic regression model with interaction
    Haines, Linda M.
    Kabera, Gaetan M.
    Ndlovu, Principal
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2018, 193 : 136 - 150
  • [7] D-OPTIMAL DESIGNS FOR A MULTIVARIATE REGRESSION-MODEL
    KRAFFT, O
    SCHAEFER, M
    [J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1992, 42 (01) : 130 - 140
  • [8] D-optimal designs for two-variable logistic regression model with restricted design space
    Zhai, Yi
    Wang, Chengci
    Lin, Hui-Yi
    Fang, Zhide
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (11) : 3940 - 3957
  • [9] A NOTE ON D-OPTIMAL DESIGNS FOR PARTIALLY NONLINEAR-REGRESSION MODELS
    KHURI, AI
    [J]. TECHNOMETRICS, 1984, 26 (01) : 59 - 61
  • [10] D-OPTIMAL DESIGNS FOR MULTINOMIAL LOGISTIC MODELS
    Bu, Xianwei
    Majumdar, Dibyen
    Yang, Jie
    [J]. ANNALS OF STATISTICS, 2020, 48 (02): : 983 - 1000