Construction of three-level supersaturated design

Shu Yamada, Yoshiko T. Ikebe, Hiroki Hashiguchi, Naoto Niki

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

Supersaturated design is one type of fractional factorial design where the number of columns is greater than the number of rows. This type of design would be useful when costs of experiments are expensive and the number of factors is large, and there is a limitation on the number of runs. This paper presents some theorems on three-level supersaturated design and their application to construction. The construction methods proposed in this paper can be regarded as an extension of the methods developed for two-level supersaturated designs.

Original languageEnglish
Pages (from-to)183-193
Number of pages11
JournalJournal of Statistical Planning and Inference
Volume81
Issue number1
Publication statusPublished - 1999 Oct 1
Externally publishedYes

Fingerprint

Supersaturated Design
Fractional Factorial Design
Costs
Theorem
Experiment
Experiments

Keywords

  • χ statistic
  • Design of experiments
  • Measure of dependency
  • Orthogonal
  • Permutation of rows
  • Primary 62K15
  • Secondary 05B20

ASJC Scopus subject areas

  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Statistics and Probability

Cite this

Yamada, S., Ikebe, Y. T., Hashiguchi, H., & Niki, N. (1999). Construction of three-level supersaturated design. Journal of Statistical Planning and Inference, 81(1), 183-193.

Construction of three-level supersaturated design. / Yamada, Shu; Ikebe, Yoshiko T.; Hashiguchi, Hiroki; Niki, Naoto.

In: Journal of Statistical Planning and Inference, Vol. 81, No. 1, 01.10.1999, p. 183-193.

Research output: Contribution to journalArticle

Yamada, S, Ikebe, YT, Hashiguchi, H & Niki, N 1999, 'Construction of three-level supersaturated design', Journal of Statistical Planning and Inference, vol. 81, no. 1, pp. 183-193.
Yamada, Shu ; Ikebe, Yoshiko T. ; Hashiguchi, Hiroki ; Niki, Naoto. / Construction of three-level supersaturated design. In: Journal of Statistical Planning and Inference. 1999 ; Vol. 81, No. 1. pp. 183-193.
@article{1edf4e504cc4432f8608cff16d33fe09,
title = "Construction of three-level supersaturated design",
abstract = "Supersaturated design is one type of fractional factorial design where the number of columns is greater than the number of rows. This type of design would be useful when costs of experiments are expensive and the number of factors is large, and there is a limitation on the number of runs. This paper presents some theorems on three-level supersaturated design and their application to construction. The construction methods proposed in this paper can be regarded as an extension of the methods developed for two-level supersaturated designs.",
keywords = "χ statistic, Design of experiments, Measure of dependency, Orthogonal, Permutation of rows, Primary 62K15, Secondary 05B20",
author = "Shu Yamada and Ikebe, {Yoshiko T.} and Hiroki Hashiguchi and Naoto Niki",
year = "1999",
month = "10",
day = "1",
language = "English",
volume = "81",
pages = "183--193",
journal = "Journal of Statistical Planning and Inference",
issn = "0378-3758",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Construction of three-level supersaturated design

AU - Yamada, Shu

AU - Ikebe, Yoshiko T.

AU - Hashiguchi, Hiroki

AU - Niki, Naoto

PY - 1999/10/1

Y1 - 1999/10/1

N2 - Supersaturated design is one type of fractional factorial design where the number of columns is greater than the number of rows. This type of design would be useful when costs of experiments are expensive and the number of factors is large, and there is a limitation on the number of runs. This paper presents some theorems on three-level supersaturated design and their application to construction. The construction methods proposed in this paper can be regarded as an extension of the methods developed for two-level supersaturated designs.

AB - Supersaturated design is one type of fractional factorial design where the number of columns is greater than the number of rows. This type of design would be useful when costs of experiments are expensive and the number of factors is large, and there is a limitation on the number of runs. This paper presents some theorems on three-level supersaturated design and their application to construction. The construction methods proposed in this paper can be regarded as an extension of the methods developed for two-level supersaturated designs.

KW - χ statistic

KW - Design of experiments

KW - Measure of dependency

KW - Orthogonal

KW - Permutation of rows

KW - Primary 62K15

KW - Secondary 05B20

UR - http://www.scopus.com/inward/record.url?scp=0000082334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000082334&partnerID=8YFLogxK

M3 - Article

VL - 81

SP - 183

EP - 193

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

SN - 0378-3758

IS - 1

ER -