Robustness of D-optimal experimental designs for mixture studies

被引:0
|
作者
Bacon, DW [1 ]
Lott, R [1 ]
机构
[1] Queens Univ, Kingston, ON K7L 3N6, Canada
关键词
D-optimal; experimental designs; mixture models;
D O I
暂无
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
The principle objective of mixture experiments is to assess the influence of the proportions and amounts of mixture ingredients, along with the effects of relevant processing variables, on performance characteristics of a mixture. Experimental designs, called "mixture designs", have been proposed to guide such investigations. This paper explores the effectiveness of some commonly used designs,including D-optimal designs, in providing predictions with relatively uniform variance from alternative model forms.
引用
收藏
页码:237 / 247
页数:11
相关论文
共 50 条
  • [31] D-optimal and nearly D-optimal exact designs for binary response on the ball
    Martin Radloff
    Rainer Schwabe
    [J]. Statistical Papers, 2023, 64 : 1021 - 1040
  • [32] D-optimal and nearly D-optimal exact designs for binary response on the ball
    Radloff, Martin
    Schwabe, Rainer
    [J]. STATISTICAL PAPERS, 2023, 64 (04) : 1021 - 1040
  • [33] D-optimal mixture component-amount designs for quadratic and cubic models
    Prescott, Philip
    Draper, Norman R.
    [J]. JOURNAL OF APPLIED STATISTICS, 2008, 35 (07) : 739 - 749
  • [34] ON D-OPTIMAL DESIGNS FOR BINARY DATA
    KHAN, MK
    YAZDI, AA
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1988, 18 (01) : 83 - 91
  • [35] Robustness properties of minimally-supported Bayesian D-optimal designs for heteroscedastic models
    Dette, H
    Song, D
    Wong, WK
    [J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2001, 29 (04): : 633 - 647
  • [36] D-optimal designs for covariate models
    Dey, Aloke
    Mukerjee, Rahul
    [J]. STATISTICS, 2006, 40 (04) : 297 - 305
  • [37] Recent developments in D-optimal designs
    Ceranka, B.
    Graczyk, M.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (06) : 1470 - 1480
  • [38] D-Optimal Designs for Covariate Models
    Dutta, Ganesh
    Das, Premadhis
    Mandal, Nripes K.
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (01) : 165 - 174
  • [39] D-OPTIMAL DESIGNS WITH HADAMARD MATRIX
    CHOW, KL
    LII, KS
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) : 76 - 90
  • [40] On the enumeration of some D-optimal designs
    Orrick, William P.
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (01) : 286 - 293