The use of principal components and univariate charts to control multivariate processes

Pesquisa Operacional

Volumn 28, Issue 1, 2008, Pages 173-196

  Machado, Marcela A G ^a   Costa, Antonio F B ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Multivariate process control; Principal component; Simultaneous univariate control charts

Indexed keywords

EID: 46749130587     PISSN: 01017438     EISSN: 16785142     Source Type: Journal    
DOI: 10.1590/s0101-74382008000100010     Document Type: Article

References (19)

1. Alt, F.B. (1985). Multivariate control charts. In: Encyclopedia of Statistical Sciences [edited by S. Kotz and N.L. Johnson], Wiley.
2. Aparisi, F.; Jabaloyes, J. & Carrion, A. (1999). Statistical properties of the |S| multivariate control chart. Communication in Statistics - Theory and Methods, 28, 2671-2686.
3. Aparisi, F.; Jabaloyes, J. & Carrion, A. (2001). Generalized variance chart design with adaptive sample sizes. The bivariate case. Communication in Statistics - Simulation and Computation, 30, 931-948.
4. Costa, A.F.B. & Machado, M.A.G. (2007). Synthetic control charts with two-stage sampling for monitoring bivariate processes. Pesquisa Operacional, 27, 117-130.
5. Microsoft Fortran Power Station 4.0. (1995). Professional Edition with Microsoft IMSL Mathematical and Statistical Libraries. Microsoft Corporation.
6. Hayter, A.J. & Tsui, K-L. (1994). Identification and quantification in multivariate quality control problems. Journal of Quality Technology, 26, 197-208.
7. Hotelling, H. (1947). Multivariate quality control, illustrated by the air testing of sample bombsights. Techniques of Statistical Analysis, 111-184. New York, McGraw Hill.
8. Jackson, J.E. (1980). Principal components and factor analysis: part I - principal components. Journal of Quality Technology, 12, 201-213.
9. Johnson, R.A. & Wichern, D.W. (2002). Applied Multivariate Statistical Analysis. Prentice-Hall, Inc., Upper Saddle River, New Jersey.
10. Montgomery, D.C. (2004). Introduction to Statistical Quality Control. John Wiley & Sons, Inc., New York, New York.
11. Pignatiello, J.J. & Runger, G.C. (1990). Comparisons of multivariate CUSUM charts. Journal of Quality Technology, 22, 173-186.
12. Runger, G.C. & Alt, F.B. (1996). Choosing principal components for multivariate statistical process control. Communications in Statistics - Theory and Methods, 25, 909-922.
13. Runger, G.C. & Montgomery, D.C. (1997). Multivariate and univariate process control: geometry and shift directions. Quality and Reliability Engineering International, 13, 153-158.
14. Schall, S. & Chandra, J. (1987). Multivariate quality control using principal components. International Journal of Production Research, 25, 571-588.
15. Serel, D.A.; Moskowitz, H. & Tang, J. (2000). Univariate X̄ control charts for individual characteristics in a multinormal model. HE Transactions, 32, 1115-1125.
16. Souza, A.M. & Rigão, M.H. (2005). Identificação de variáveis fora de controle em processos produtivos multivariados. Revista Produção, 15, 74-86.
17. Surtihadi, J.; Raghavachari, M. & Runger, G. (2004). Multivariate control charts for process dispersion. International Journal of Production Research, 42, 2993-3009.
18. Woodall, W.H. & Ncube, M.M. (1985). Multivariate CUSUM quality-control procedures. Technometrics, 27, 285-292.
19. Yeh, A.B.; Lin, D.K.J. & McGrath, R.N. (2006). Multivariate control charts for monitoring covariance matrix: a review. Quality Technology and Quantitative Management, 3, 415-436.