An Approach for Simple Linear Profile Gauge R&R Studies

Gauge repeatability and reproducibility studies are significant to quality improvement and quality control. The approaches are always applied to determine the capability of the measurement system. Much of the literature in this field mainly focuses on univariate and multivariate measurement systems....

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Main Authors: Liangxing Shi, Wei Chen, Liang Fu Lu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/816980
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author Liangxing Shi
Wei Chen
Liang Fu Lu
author_facet Liangxing Shi
Wei Chen
Liang Fu Lu
author_sort Liangxing Shi
collection DOAJ
description Gauge repeatability and reproducibility studies are significant to quality improvement and quality control. The approaches are always applied to determine the capability of the measurement system. Much of the literature in this field mainly focuses on univariate and multivariate measurement systems. However, the state-of-the-art methods are not appropriate when the quality of a product is characterized by a profile. Therefore, this paper proposes a method for the measured values which can be characterized by a simple linear profile. In addition, the slopes and intercepts of these profiles often vary due to measurement error. Thus, the simple linear profile gauge studies can be considered as a two-response (slope and intercept) problem. X-values transformation is used to make the slope and intercept of each profile independent. ANOVA is utilized to estimate the variance component of measurement error and other sources of variation. Then, the criteria precision to tolerance ratio and percent R&R are introduced to assess the simple linear profile measurement system capability. Finally, the proposed approach is applied to the spring length and elasticity measurement which demonstrates how to implement the method.
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spelling doaj-art-9d9ff1511aea4e39888268494062974a2025-02-03T01:26:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/816980816980An Approach for Simple Linear Profile Gauge R&R StudiesLiangxing Shi0Wei Chen1Liang Fu Lu2Department of Industrial Engineering, Tianjin University, Tianjin 300072, ChinaDepartment of Industrial Engineering, Tianjin University, Tianjin 300072, ChinaDepartment of Mathematics, School of Science, Tianjin University, Tianjin 300072, ChinaGauge repeatability and reproducibility studies are significant to quality improvement and quality control. The approaches are always applied to determine the capability of the measurement system. Much of the literature in this field mainly focuses on univariate and multivariate measurement systems. However, the state-of-the-art methods are not appropriate when the quality of a product is characterized by a profile. Therefore, this paper proposes a method for the measured values which can be characterized by a simple linear profile. In addition, the slopes and intercepts of these profiles often vary due to measurement error. Thus, the simple linear profile gauge studies can be considered as a two-response (slope and intercept) problem. X-values transformation is used to make the slope and intercept of each profile independent. ANOVA is utilized to estimate the variance component of measurement error and other sources of variation. Then, the criteria precision to tolerance ratio and percent R&R are introduced to assess the simple linear profile measurement system capability. Finally, the proposed approach is applied to the spring length and elasticity measurement which demonstrates how to implement the method.http://dx.doi.org/10.1155/2014/816980
spellingShingle Liangxing Shi
Wei Chen
Liang Fu Lu
An Approach for Simple Linear Profile Gauge R&R Studies
Discrete Dynamics in Nature and Society
title An Approach for Simple Linear Profile Gauge R&R Studies
title_full An Approach for Simple Linear Profile Gauge R&R Studies
title_fullStr An Approach for Simple Linear Profile Gauge R&R Studies
title_full_unstemmed An Approach for Simple Linear Profile Gauge R&R Studies
title_short An Approach for Simple Linear Profile Gauge R&R Studies
title_sort approach for simple linear profile gauge r r studies
url http://dx.doi.org/10.1155/2014/816980
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