Performance Measures for Robust Design

Terrence E. Murphy; Kwok-Leung Tsui

doi:10.1002/9780470061572.eqr038

Performance Measures for Robust Design

Terrence E. Murphy, Kwok-Leung Tsui

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author)

Abstract

Despite their widespread use as performance measures in robust design, Taguchi's signal-to-noise ratios (SNRs) do not always minimize quadratic loss. The relationship between minimization of expected quadratic loss and Taguchi's SNR was articulated by León et al. 1. Their performance measure independent of adjustment (PerMIA) is a general performance measure which justifies the use of the Taguchi two-step procedures as a method of minimizing quadratic loss under certain models. We review the basic conceptual framework of the PerMIA and the literature related to this performance measure.

Original language	English
Title of host publication	Encyclopedia of Statistics in Quality and Reliability
Editors	Fabrizio Ruggeri , Ron S. Kenett , Frederick Faltin
Publisher	Wiley
ISBN (Electronic)	978-0-470-06157-2
ISBN (Print)	978-0-470-01861-3
DOIs	https://doi.org/10.1002/9780470061572.eqr038
Publication status	Published - 15 Mar 2008
Externally published	Yes

Research Keywords

performance measure independent of adjustment
signal-to-noise ratio
Taguchi method
robust design
loss function

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10.1002/9780470061572.eqr038

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1 RGC 12 - Chapter in an edited book (Author)

Performance Measures for Robust Design
Murphy, T. E. & Tsui, K.-L., 29 Sept 2014, Wiley StatsRef: Statistics Reference Online. Balakrishnan, N., Colton, T., Everitt , B., Piegorsch, W., Ruggeri, F. & Teugels, J. (eds.). Wiley
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author)

Cite this

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title = "Performance Measures for Robust Design",

abstract = "Despite their widespread use as performance measures in robust design, Taguchi's signal-to-noise ratios (SNRs) do not always minimize quadratic loss. The relationship between minimization of expected quadratic loss and Taguchi's SNR was articulated by Le{\'o}n et al. 1. Their performance measure independent of adjustment (PerMIA) is a general performance measure which justifies the use of the Taguchi two-step procedures as a method of minimizing quadratic loss under certain models. We review the basic conceptual framework of the PerMIA and the literature related to this performance measure.",

keywords = "performance measure independent of adjustment, signal-to-noise ratio, Taguchi method, robust design, loss function",

author = "Murphy, {Terrence E.} and Kwok-Leung Tsui",

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AU - Tsui, Kwok-Leung

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AB - Despite their widespread use as performance measures in robust design, Taguchi's signal-to-noise ratios (SNRs) do not always minimize quadratic loss. The relationship between minimization of expected quadratic loss and Taguchi's SNR was articulated by León et al. 1. Their performance measure independent of adjustment (PerMIA) is a general performance measure which justifies the use of the Taguchi two-step procedures as a method of minimizing quadratic loss under certain models. We review the basic conceptual framework of the PerMIA and the literature related to this performance measure.

KW - performance measure independent of adjustment

KW - signal-to-noise ratio

KW - Taguchi method

KW - robust design

KW - loss function

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DO - 10.1002/9780470061572.eqr038

M3 - RGC 12 - Chapter in an edited book (Author)

SN - 978-0-470-01861-3

BT - Encyclopedia of Statistics in Quality and Reliability

A2 - Ruggeri , Fabrizio

A2 - Kenett , Ron S.

A2 - Faltin , Frederick

PB - Wiley

ER -

Performance Measures for Robust Design

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Performance Measures for Robust Design

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