Optimal compound orthogonal arrays and single arrays for robust parameter design experiments

Yu Zhu; Peng Zeng; Kristofer Jennings

doi:10.1198/004017007000000029

Optimal compound orthogonal arrays and single arrays for robust parameter design experiments

Yu Zhu, Peng Zeng, Kristofer Jennings

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

3 Scopus citations

Abstract

Compound orthogonal arrays (COAs) and single arrays are alternatives to the inner-outer arrays advocated by Taguchi for robust parameter design experiments. A criterion based on the wordtype pattern and strength of COAs is proposed to select optimal COAs. Single arrays are classified into prodigal single arrays (PSAs) and economical single arrays (ESAs) according to their relative estimation capacities, and various optimality criteria, again based on the wordtype pattern, are proposed for selecting optimal single arrays. Useful optimal COAs, PSAs, and ESAs are constructed and tabulated as convenient references for experimenters in practice.

Original language	English (US)
Pages (from-to)	440-453
Number of pages	14
Journal	Technometrics
Volume	49
Issue number	4
DOIs	https://doi.org/10.1198/004017007000000029
State	Published - Nov 2007
Externally published	Yes

Keywords

Compound orthogonal array
Robust parameter design
Single array

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1198/004017007000000029

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title = "Optimal compound orthogonal arrays and single arrays for robust parameter design experiments",

abstract = "Compound orthogonal arrays (COAs) and single arrays are alternatives to the inner-outer arrays advocated by Taguchi for robust parameter design experiments. A criterion based on the wordtype pattern and strength of COAs is proposed to select optimal COAs. Single arrays are classified into prodigal single arrays (PSAs) and economical single arrays (ESAs) according to their relative estimation capacities, and various optimality criteria, again based on the wordtype pattern, are proposed for selecting optimal single arrays. Useful optimal COAs, PSAs, and ESAs are constructed and tabulated as convenient references for experimenters in practice.",

keywords = "Compound orthogonal array, Robust parameter design, Single array",

author = "Yu Zhu and Peng Zeng and Kristofer Jennings",

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T1 - Optimal compound orthogonal arrays and single arrays for robust parameter design experiments

AU - Zhu, Yu

AU - Zeng, Peng

AU - Jennings, Kristofer

N1 - Funding Information: Yu Zhu’s research was supported by National Science Foundation grant DMS-04-05694. The authors thank the editor, the associate editor and the referees for constructive comments and suggestions that helped improve an early version of the article.

PY - 2007/11

Y1 - 2007/11

N2 - Compound orthogonal arrays (COAs) and single arrays are alternatives to the inner-outer arrays advocated by Taguchi for robust parameter design experiments. A criterion based on the wordtype pattern and strength of COAs is proposed to select optimal COAs. Single arrays are classified into prodigal single arrays (PSAs) and economical single arrays (ESAs) according to their relative estimation capacities, and various optimality criteria, again based on the wordtype pattern, are proposed for selecting optimal single arrays. Useful optimal COAs, PSAs, and ESAs are constructed and tabulated as convenient references for experimenters in practice.

AB - Compound orthogonal arrays (COAs) and single arrays are alternatives to the inner-outer arrays advocated by Taguchi for robust parameter design experiments. A criterion based on the wordtype pattern and strength of COAs is proposed to select optimal COAs. Single arrays are classified into prodigal single arrays (PSAs) and economical single arrays (ESAs) according to their relative estimation capacities, and various optimality criteria, again based on the wordtype pattern, are proposed for selecting optimal single arrays. Useful optimal COAs, PSAs, and ESAs are constructed and tabulated as convenient references for experimenters in practice.

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KW - Robust parameter design

KW - Single array

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Optimal compound orthogonal arrays and single arrays for robust parameter design experiments

Abstract

Keywords

ASJC Scopus subject areas

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