Lower bounds of the average mixture discrepancy for row augmented designs with mixed four- and five-level

Jiaqi Liu, Kang Wang, Di Yuan and Jianjun Li

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 19, 6716-6733

Abstract: Follow-up experimental designs are widely used in various scientific investigations and industrial applications to discuss the relationship between inputs and outputs at various stages. Due to the limitation of run size, the desired experimental purpose may not be achieved through one stage of the experiment, so additional runs should be considered in the follow-up stage. By taking all possible level permutation of the factors into consideration, the uniformity of row augmented designs with mixed four- and five-level is discussed under the average mixture discrepancy, and new lower bounds of average mixture discrepancy for row augmented designs with mixed four- and five-level are obtained in this paper. Accordingly, the algorithm for the construction of uniform row augmented designs with mixed four- and five-level is proposed. Numerical examples show that the constructed uniform row augmented designs with mixed four- and five-level are highly efficient and can be used in practice.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2022.2032752 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:52:y:2023:i:19:p:6716-6733

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2022.2032752

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().