Lee discrepancy on mixed two- and three-level uniform augmented designs

Follow-up experiment is widely applied to various fields such as science and engineering, since it is an indispensable strategy, especially when some additional resources or information become available after the initial design of experiment is carried out. Moreover, some extra factors may be added...

Full description

Saved in:
Bibliographic Details
Published in:Communications in statistics. Theory and methods 2019-05, Vol.48 (10), p.2409-2424
Main Authors: Liu, Jiaqi, Ou, Zujun, Hu, Liuping, Wang, Kang
Format: Article
Language:English
Subjects:
Algorithms
Column augmented design
Design of experiments
Lee discrepancy
lower bound
Lower bounds
row augmented design
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Follow-up experiment is widely applied to various fields such as science and engineering, since it is an indispensable strategy, especially when some additional resources or information become available after the initial design of experiment is carried out. Moreover, some extra factors may be added in the follow-up experiment. One may augment the number of runs and/or factors for the purpose of application. In this paper, the issue of the uniform row augmented designs and column augmented designs with mixed two- and three-level is investigated. The uniformity of augmented designs is discussed under the Lee discrepancy, some lower bounds of Lee discrepancy for the augmented designs are obtained. The construction algorithm of the uniform augmented designs is given. Some numerical examples indicate that uniform augmented designs can be constructed with high efficiency.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2018.1465087