Becker's models for mixture experiments: An A-optimal approach

被引：0
|
作者：
Husain, Bushra [1 ]
Aslam, Fariha [2 ]
机构：
[1] Aligarh Muslim Univ, Womens Coll, Dept Stat & Operat Res, Aligarh, India
[2] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2025年
关键词：
Mixture experiment; Becker's models; A-optimality; D-optimality; equivalence theorem; OPTIMAL DESIGNS; POLYNOMIAL-MODELS;
D O I：
10.1080/03610926.2025.2457506
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：
In this article, we have investigated the derivation of weight expressions for the A-optimal designs for Becker's models using the weighted simplex-centroid design approach and established a comprehensive generalized form for these weights. Employing the equivalence theorem, we have validated the derived allocations as A-optimal designs. Furthermore, we have conducted a comparative efficiency analysis against the D-optimal design, shedding light on the performance disparities between the two methodologies.
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页数：11
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