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A Graphical Approach for Interpreting Out-of-Control Signals in Multivariate Control Charts
Technical Paper
2019-36-0068
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
Dealing with several variables simultaneously is not a simple task for quality engineers because the interpretation of out-of-control signals involves the examination of the data from a multivariate perspective. In this paper, a graphical technique for interpreting out-of-control signals in multivariate control charts is proposed. This approach consists of a typical Hotelling’s chart with warning labels indicating:1) the univariate out-of-control points often masked by the T-squared statistic; 2) the plane of the biplot that should be investigated to identify the cause of the signal. The idea of using biplots as a complementary tool is to provide a broader view of the data without adding much complexity to the analysis. Finally, the benefits of this are shown through a case example of an automotive body assembly process.
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Citation
Pargas Carmona, L., "A Graphical Approach for Interpreting Out-of-Control Signals in Multivariate Control Charts," SAE Technical Paper 2019-36-0068, 2020, https://doi.org/10.4271/2019-36-0068.Also In
References
- Jackson , J. E. A user guide to principal components New York Wiley 1991 978-0471622673
- Hotelling , H. Multivariate quality control - Illustrated by the air testing of sample bombsights Selected techniques of statistical analysis Eisenhart C. , Hastay M.W. and Wallis W.A. New York McGraw-Hill 1947 111 184
- Hotelling , H. The generalization of Student‘s rati Annals of Mathematical Statistics 2 360 378 1931 10.1214/aoms/1177732979
- Jackson , J. E. Quality control methods for several related variables Technometrics 1 359 377 1959 10.2307/1266717
- Alt F. B. Multivariate quality control The encyclopedia of statistical sciences Kotz , N. L. Johnson and Reads C. R. New York Wiley 1985 110 122
- Tracy N. D. , Young J. C. , and Mason R. L. Multivariate control charts for individual observations Journal of Quality Technology 24 88 95 1992
- Lowry C. A. , and Montgomery D. C. A review of multivariate control charts IIE Transactions 27 800 810 1995 10.1080/07408179508936797
- Mason R. L. , and Young J. C. Multivariate statistical process control with industrial applications Philadelphia, PA ASA/SIAM 2002 978-0-89871-496-8
- Woodall , W. H. Controversies and contradictions in statistical process control Journal of Quality Technology 32 4 341 378 2000
- Chou Y. M. , Mason R. L. , and Young J. C. Power comparisons for a Hotelling's T2 statistic Communications in Statistics - Simulation and Computation 28 4 1031 1050 1999 10.1080/03610919908813591
- Hayter A. J. , and Tsui K. L. Identification and quantification in multivariate quality control problems Journal of Quality Technology 26 197 208 1994
- Murphy , B. J. Selecting out-of-control-variables with T2 multivariate quality control procedures The Statistician 36 571 583 1987 10.2307/2348668
- Chua , M. , and Montgomery , D. C. Investigation and characterization of a control scheme for multivariate quality control Quality and Reliability Engineering International 8 37 44 1992 10.1002/qre.4680080107
- Runger G. C. , Alt F. B. , and Montgomery D. C. Contributors to a multivariate statistical process control chart signal Communications in Statistics - Theory and Methods 25 10 2203 2213 1996 10.1080/03610929608831832
- Mason R. L. , Tracy N. D. , and Young J. C. Decomposition of T2 for multivariate control chart interpretation Journal of Quality Technology 27 99 108 1995
- Mason R. L. , Tracy N. D. , and Young J. C. A practical approach for interpreting multivariate T2 control chart signals Journal of Quality Technology 29 396 406 1997
- STATGRAPHICS 3.0 Statistical Graphic System 1988
- Fuchs C. , and Benjamini Y. Multivariate profile charts for statistical process control Technometrics 36 182 195 1994 10.2307/1270230
- Adams , B. M. The multivariate control web Quality Engineering 6 4 533 545 1994 10.1080/08982119408918749
- Blazek , L. W. , Novic , B. , and Scott , D. M. Displaying multivariate data using polyplots Journal of Quality Technology 19 69 74 1987
- Nottingham , Q. J. , Cook , D. F. , and Zobel , C. W. Visualization of multivariate data with radial plots using SAS Computers & Industrial Engineering 41 17 35 2001 10.1016/S0360-8352(01)00040-7
- SAS System for Windows, Version 7 1988
- Rousseeuw , P. J. , and van Zomeren , B. C. Unmasking Multivariate Outliers and Leverage Points Journal of American Statistical Association 85 633 639 1990
- Colet , E. , and Aaronson , D. Visualization of multivariate data: Human-factors considerations Behavior Research Methods, Instruments, & Computers 27 2 257 263 1995 10.3758/BF03204742
- Vicente-Villardón , J. L. 2014 MULTBIPLOT: A package for Multivariate Analysis using Biplots Departamento de Estadística Universidad de Salamanca http://biplot.usal.es/ClassicalBiplot/index.html