Due to the complexity of multivariate environment, the construction of multivariate control chart for process variability monitoring is not straightforward. This is because, in multivariate setting, understanding the behavior of process variability is not easy to interpret and analyze. For this purpose, we propose a process monitoring strategy that can be used to detect the shift in covariance structure by the size of variation in terms of the eigenvalues of a covariance matrix. The sensitivity of the propose method to the shift of variability is quite promising and therefore, a real industrial problem will be presented to illustrate its advantage.
Topics
Covariance and correlation
REFERENCES
1.
S. J.
Wierda
, Stat. Neerl.
, 48
, 147
–168
(1994
).2.
D. C.
Montgomery
, Introduction to Statistical Quality Control
, NY
: John Wiley & Sons
, 2009
, pp. 120
–123
.3.
F. B.
Alt
, Encyclopedia of Statistical Science
eds. S.
Kotz
, N. L.
Johnson
, and C. B.
Read
, 6
, 110
–119
(1984
).4.
F. B.
Alt
, and N. D.
Smith
, Handbook of Statistics
, eds. P. R.
Krishniah
and C. R.
Rao
, Elsevier Science
, 7
, 333
–351
(1988
).5.
F.
Aparisi
, J.
Jabaloyes
and A.
Carrion
, Comm. Statist. Theory and Methods
, 28
, 2671
–2686
(1999
).6.
F.
Aparisi
, J.
Jabaloyes
and A.
Carrion
, Comm. Statist. Simulation and Computation
, 30
, 931
–948
(2001
).7.
8.
M. A.
Djauhari
, M.
Mashuri
and D. E.
Herwindiati
, Comm. Statist. Theory and Methods
, 37
, 1742
–1754
(2008
).9.
A. F. B.
Costa
and M. A. G.
Machado
, Int. J. Adv. Manuf. Technol.
, 41
, 770
–779
(2009
).10.
G.
Diaz
, Eur. J. Ind. Eng.
, 1
, 40
–55
(2007
).11.
Bersimis
, S.
Psarakis
and J.
Panaretos
, Qual. Reliab. Eng. Int.
, 23
, 517
–543
(2006
).12.
A. B.
Yeh
, D. K. J.
Lin
and R. N.
McGrath
, Qual. Technol. Quant. Manag.
, 3
, 415
–436
(2006
).13.
C. A.
Lowry
and D. C.
Montgomery
, IIE Trans.
, 27
, 800
–810
(1995
).14.
S. S.
Wilks
, Biometrika
, 24
, 471
–494
(1932
).15.
R. A.
Johnson
and D. W.
Wichern
, Applied Multivariate Statistical Analysis
, Upper Saddle River NJ
: Prentice Hall
, 2007
, pp. 80
–85
.16.
M. A
Djauhari
, International Conference on Quality and Reliabilit Conference Proceeding
, IEEE
, Bangkok, Thailand
, 2011
, pp. 620
–625
.17.
K. V.
Mardia
, J. T.
Kent
and J. M.
Bibby
, Multivariate Analysis
, NY
: Academic Press
, 1979
, pp. 110
–112
.18.
R. L.
Mason
, Y. M.
Chou
and J. C.
Young
, Comm. Statist. Theory and Methods
, 38
, 939
–951
(2009
).
This content is only available via PDF.
© 2015 AIP Publishing LLC.
2015
AIP Publishing LLC
You do not currently have access to this content.