Title
A Modified Region Approach for Multivariate Measurement System Capability Analysis.
Abstract
Measurement system capability analysis is to determine whether the measurement system is capable for use in quality control. The existing research has been extended from univariate to multivariate cases. Two approaches, the multivariate analysis of variance (MANOVA) and the weighted principal components (WPC), were advocated in literature. The MANOVA method is constructed based on the volume ratio that treats the volume of constant-density contours as the variability estimations. However, it ignores the fact that the relative position change of multivariate measurement errors could affect the measurement system capability. The WPC method uses dimension reduction to reduce the complexity but is unable to build the precision-to-tolerance ratio because it does not include tolerance. In this paper, we propose a modified-region-based method to compute the precision-to-tolerance ratio, the percent of repeatability and reproducibility, and the signal-to-noise ratio. This method also incorporates the variance-covariance structure of the measurement errors when dealing with the constant-density contours of tolerances, total variation, and process variation. The performance of the modified-region-based method is evaluated based on a dataset from the literature and a set of relevant simulation. The proposed method proves to be effective compared with other methods.Copyright (c) 2014 John Wiley & Sons, Ltd.
Year
DOI
Venue
2016
10.1002/qre.1724
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
multivariate measurement system,precision to tolerance,repeatability and reproducibility,signal to noise,modified region
Econometrics,Multivariate analysis of variance,Dimensionality reduction,Multivariate statistics,Signal-to-noise ratio,Engineering,Multivariate analysis,Statistics,Univariate,Principal component analysis,Repeatability
Journal
Volume
Issue
ISSN
32
1
0748-8017
Citations 
PageRank 
References 
0
0.34
9
Authors
4
Name
Order
Citations
PageRank
liangxing shi160.77
Qiumeng He200.34
Jingyuan Liu362.02
Zhen He428230.14