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.

引用

页数：11

共 16 条

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