Optimal orthogonal designs in two blocks based on F-squares for Darroch and Waller's quadratic mixture model in four components

被引：0

作者：

Aggarwal, M. L. ^{[1
]}

Singh, Poonam ^{[2
]}

Sarin, Vandana ^{[3
]}

Husain, Bushra ^{[4
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

[2] Univ Delhi, Dept Stat, Delhi 110007, India

[3] Univ Delhi, Kirorimal Coll, Dept Stat, Delhi 110007, India

[4] Aligarh Muslim Univ, Womens Coll, Dept Stat & OR, Aligarh 202002, Uttar Pradesh, India

来源：

STATISTICS AND APPLICATIONS | 2008年 / 6卷 / 1-2期

关键词：

Mixture experiments; Process variables; Orthogonality; Darroch and Waller's Model; F-squares; D-optimality; A-optimality; E-optimality;

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：

Orthogonal block designs for Scheffe's quadratic model in three and four components were considered by John (1984), Czitrom (1988, 1989, 1992), Draper et al. (1993), Chan and Sandhu (1999), and Ghosh and Liu (1999). Singh (2003) considered optimal orthogonal designs in two blocks for Darroch and Waller's quadratic mixture model in three and four components. Aggarwal et al. (2008) have studied mixture designs in orthogonal blocks using F-squares. In this paper, we have considered the case of equal volume fractions and have constructed optimal orthogonal designs in two blocks based on F-squares for Darroch and Waller's quadratic mixture model in four components. Conditions required for orthogonality are also given.

引用

页码：257 / 274

页数：18

共 27 条

[1] EQUAL AND PROPORTIONAL FREQUENCY SQUARES [J].