Construction of Orthogonal Arrays without Interaction Columns

Shan qi Pang; Ya ping Wang; Ming yao Ai

doi:10.1007/s10255-022-1063-y

Construction of Orthogonal Arrays without Interaction Columns

Shan qi Pang
, Ya ping Wang^*
, Ming yao Ai

^*Corresponding author for this work

School of Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper a new class of orthogonal arrays (OAs), i.e., OAs without interaction columns, are proposed which are applicable in factor screening, interaction detection and other cases. With the tools of di erence matrices, we present some general recursive methods for constructing OAs of such type. Several families of OAs with high percent saturation are constructed. In particular, for any integer λ ≥ 3, such a two-level OA of run 4λ can always be obtained if the corresponding Hadamard matrix exists.

Original language	English
Pages (from-to)	159-168
Number of pages	10
Journal	Acta Mathematicae Applicatae Sinica
Volume	38
Issue number	1
DOIs	https://doi.org/10.1007/s10255-022-1063-y
State	Published - Jan 2022

Keywords

05B15
62K15
Hadamard matrix
Kronecker sum
complex aliasing
difference matrix
symmetric array

Access to Document

10.1007/s10255-022-1063-y

Cite this

@article{335b6872ba0b404d9b1f99e1909149cc,

title = "Construction of Orthogonal Arrays without Interaction Columns",

abstract = "In this paper a new class of orthogonal arrays (OAs), i.e., OAs without interaction columns, are proposed which are applicable in factor screening, interaction detection and other cases. With the tools of di erence matrices, we present some general recursive methods for constructing OAs of such type. Several families of OAs with high percent saturation are constructed. In particular, for any integer λ ≥ 3, such a two-level OA of run 4λ can always be obtained if the corresponding Hadamard matrix exists.",

keywords = "05B15, 62K15, Hadamard matrix, Kronecker sum, complex aliasing, difference matrix, symmetric array",

author = "Pang, \{Shan qi\} and Wang, \{Ya ping\} and Ai, \{Ming yao\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Editorial Office of AMAS \& Springer-Verlag GmbH Germany.",

year = "2022",

month = jan,

doi = "10.1007/s10255-022-1063-y",

language = "英语",

volume = "38",

pages = "159--168",

journal = "Acta Mathematicae Applicatae Sinica",

issn = "0168-9673",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Construction of Orthogonal Arrays without Interaction Columns

AU - Pang, Shan qi

AU - Wang, Ya ping

AU - Ai, Ming yao

PY - 2022/1

Y1 - 2022/1

N2 - In this paper a new class of orthogonal arrays (OAs), i.e., OAs without interaction columns, are proposed which are applicable in factor screening, interaction detection and other cases. With the tools of di erence matrices, we present some general recursive methods for constructing OAs of such type. Several families of OAs with high percent saturation are constructed. In particular, for any integer λ ≥ 3, such a two-level OA of run 4λ can always be obtained if the corresponding Hadamard matrix exists.

AB - In this paper a new class of orthogonal arrays (OAs), i.e., OAs without interaction columns, are proposed which are applicable in factor screening, interaction detection and other cases. With the tools of di erence matrices, we present some general recursive methods for constructing OAs of such type. Several families of OAs with high percent saturation are constructed. In particular, for any integer λ ≥ 3, such a two-level OA of run 4λ can always be obtained if the corresponding Hadamard matrix exists.

KW - 05B15

KW - 62K15

KW - Hadamard matrix

KW - Kronecker sum

KW - complex aliasing

KW - difference matrix

KW - symmetric array

UR - https://www.scopus.com/pages/publications/85124368430

U2 - 10.1007/s10255-022-1063-y

DO - 10.1007/s10255-022-1063-y

M3 - 文章

AN - SCOPUS:85124368430

SN - 0168-9673

VL - 38

SP - 159

EP - 168

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 1

ER -

Construction of Orthogonal Arrays without Interaction Columns

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this