F-Square Based Four Component D-, A- and E-Optimal Orthogonal Designs for an Additive Quadratic Mixture Model

被引：1

作者：

Husain B. ^{[1
]}

Parveen S. ^{[2
]}

机构：

[1] Department of Statistics and O.R., Women’s College, Aligarh Muslim University-Aligarh, Uttar Pradesh, Aligarh

[2] Department of Statistics and O.R., Aligarh Muslim University-Aligarh, Uttar Pradesh, Aligarh

来源：

Journal of the Indian Society for Probability and Statistics | 2016年 / 17卷 / 1期

关键词：

A-optimality; Additive quadratic mixture model; D-optimality; E-optimality; F-squares; Mixture experiments; Orthogonality;

D O I：

10.1007/s41096-016-0007-3

中图分类号：

学科分类号：

摘要：

Orthogonal block designs for Scheffé’s quadratic model have been considered previously by John (Experiments with mixture involving process variables, Technical Report 8, Centre for Statistical Sciences, University of Texas, Austin, TX, 1–17, 1984), Czitrom (Commun Stat Theory Methods 17:105–121, 1988, 18:4561–4581, 1989), Draper et al. (Technometrics 35:268–276, 1993) and Prescott et al. (J Appl Stat 20(1):268–276, 1993). 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 an additive quadratic mixture model in four components. We have obtained D-, A- and E-optimal orthogonally blocked designs in two blocks for four components when two of the four components are at the same level of mixture composition. © 2016, The Indian Society for Probability and Statistics (ISPS).

引用

页码：95 / 109

页数：14

共 21 条

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