Asymmetrical split-plot designs with clear effects

Xiaoxue Han, Jianbin Chen, Min-Qian Liu () and Shengli Zhao
Additional contact information
Xiaoxue Han: Nankai University
Jianbin Chen: Nankai University
Min-Qian Liu: Nankai University
Shengli Zhao: Qufu Normal University

Metrika: International Journal for Theoretical and Applied Statistics, 2020, vol. 83, issue 7, No 2, 779-798

Abstract: Abstract The fractional factorial split-plot (FFSP) design is an important experimental design both in theory and in practice. There is extensive literature on the two-level FFSP design and its various variants. However, there is little work on the s-level FFSP design and its variants in the asymmetrical (i.e., mixed-level) case, where s is any prime or prime power. Such designs are commonly used e.g. in agriculture, medicine and chemistry. This paper provides the necessary and sufficient conditions for the existence of resolution III or IV regular $$s^{(n_1+n_2)-(k_1+k_2)}(s^r)$$ s ( n 1 + n 2 ) - ( k 1 + k 2 ) ( s r ) designs which contain clear main effects or two-factor interaction components. In particular, the sufficient conditions are proved through constructing the corresponding designs, and some examples are provided to illustrate the construction methods.

Keywords: Main effect; Mixed-level; Regular fractional factorial design; Two-factor interaction component; Primary 62K15; Secondary 62K05 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s00184-019-00755-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:metrik:v:83:y:2020:i:7:d:10.1007_s00184-019-00755-0

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/184/PS2

DOI: 10.1007/s00184-019-00755-0

Access Statistics for this article

Metrika: International Journal for Theoretical and Applied Statistics is currently edited by U. Kamps and Norbert Henze

More articles in Metrika: International Journal for Theoretical and Applied Statistics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().