Lee discrepancy on symmetric three-level combined designs

被引：18

作者：

Elsawah, A. M. ^{[1
,2
]}

Qin, Hong ^{[1
]}

机构：

[1] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China

[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt

来源：

STATISTICS & PROBABILITY LETTERS | 2015年 / 96卷

基金：

中国国家自然科学基金;

关键词：

Lee discrepancy; Foldover plan; Foldover design; Combined design; Lower bound; OPTIMAL FOLDOVER PLANS;

D O I：

10.1016/j.spl.2014.09.027

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：

This article develops a new mechanism to foldover designs involving factors with multilevel. By exhaustive search we identify the optimal foldover plans. This paper aims to study the issue of the optimal foldover plans for three-level designs, in view of the uniformity criterion measured by the Lee discrepancy. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：273 / 280

页数：8

共 16 条

[11]

Ou Z.J., 2014, SCI CHINA A IN PRESS

[12] A Lower Bound for the Wrap- around L2- discrepancy on Combined Designs of Mixed Two- and Three- level Factorials [J].

Ou, Zujun ;

Qin, Hong ;

Cai, Xu .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (10-12) :2274-2285

[13] Lower bounds of various discrepancies on combined designs [J].

Ou, Zujun ;

Chatterjee, Kashinath ;

Qin, Hong .

METRIKA, 2011, 74 (01) :109-119

[14] A lower bound for the centred L2-discrepancy on combined designs under the asymmetric factorials [J].

Qin, Hong ;

Chatterjee, Kashinath ;

Ou, Zujun .

STATISTICS, 2013, 47 (05) :992-1002

[15] A note on the selection of optimal foldover plans for 16-and 32-run fractional factorial designs [J].

Wang, Bo ;

McLeod, Robert G. ;

Brewster, John F. .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (06) :1497-1500

[16] Lee discrepancy and its applications in experimental designs [J].

Zhou, Yong-Dao ;

Ning, Han-Hui ;

Song, Xie-Bing .

STATISTICS & PROBABILITY LETTERS, 2008, 78 (13) :1933-1942

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