Partially A-optimal blocked multi-factor designs

被引：1
|
作者：
Wang, Xiaodi [1 ]
Chen, Xueping [2 ]
Zhang, Yingshan [3 ]
机构：
[1] Cent Univ Finance & Econ, Sch Stat & Math, Beijing, Peoples R China
[2] Jiangsu Univ Technol, Dept Math, Changzhou, Peoples R China
[3] East China Normal Univ, Sch Stat, Shanghai, Peoples R China
来源：
JOURNAL OF THE KOREAN STATISTICAL SOCIETY | 2018年 / 47卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Block; Partially A-optimal; Orthogonal meeting balanced; Orthogonal array; MAIN-EFFECT PLANS; 2-LEVEL;
D O I：
10.1016/j.jkss.2017.09.004
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 paper, we propose a partially A-optimal criterion for block designs where multiple factors are arranged. The number of levels of each factor is assumed to be arbitrary and unequal block sizes are allowed. A sufficient condition is derived for a design to be partially A-optimal among all feasible designs. Then the properties of the selected design and its relation with orthogonal arrays are studied. Methods of constructing designs satisfying the sufficient condition are also given. (C) 2017 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.
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页码：66 / 76
页数：11
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