On the Charting Procedures: MEWMA Chart and DD-Diagram

Mekki Hajlaoui

doi:10.4236/ojs.2015.55039

Home > Journals > Physics & Mathematics > OJS

Open Journal of Statistics > Vol.5 No.5, August 2015

On the Charting Procedures: MEWMA Chart and DD-Diagram ()

Mekki Hajlaoui

Faculté des Sciences Economiques et de Gestion de Mahdia, Université de Monastir, Mahdia, Tunisia.

DOI: 10.4236/ojs.2015.55039 PDF HTML XML 2,273 Downloads 2,685 Views Citations

Abstract

In light of rapid development of customer requirements, control procedures of quality concept use multivariate analysis. This is because of recent advances in information technology and in recording. The charting procedures are based on Mahalanobis distance but their performance needs normality and a type-I error rate choice. The DD-diagram is an alternative scheme that uses data depth to avoid these conditions rarely met in practice. For a given error-free sample, the performance of DD-diagram and that of multivariate EWMA control procedures are compared through a real example on individual observations taken from a multivariate quality process.

Keywords

Multivariate Data, Quality Control, Mahalanobis Distance, MEWMA Chart, Data Depth, DD-Diagram

Share and Cite:

Hajlaoui, M. (2015) On the Charting Procedures: MEWMA Chart and DD-Diagram. Open Journal of Statistics, 5, 373-381. doi: 10.4236/ojs.2015.55039.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Alloway Jr., J.A. (1995) Visual Evaluation of Multivariate Control Chart Assumptions. Proceedings of the American Statistical Association, the Section on Quality and Productivity, 49-54.
[2]	Liu, R.Y., Parelius, J.M. and Singh, K. (1999) Multivariate Analysis by Data Depth: Descriptive Statistics, Graphics and Inference. The Annals of Statistics, 27, 783-858. http://dx.doi.org/10.1214/aos/1018031259
[3]	Li, J. and Liu, R.Y. (2004) New Nonparametric Tests of Multivariate Locations and Scales Using Data Depth. Statistical Science, 19, 686-696. http://dx.doi.org/10.1214/088342304000000594
[4]	Huh, I. (2010) Multivariate EWMA Control Chart and Application to a Semiconductor Manufacturing Process. A Thesis for Master of Science Degree, McMaster University, Ontario.
[5]	Lowry, C.A., Woodall, W.H., Champ, C.W. and Rigdon, S.E. (1992) A Multivariate Exponentially Weighted Moving Average Control Chart. Technometrics, 34, 46-53. http://dx.doi.org/10.2307/1269551
[6]	Liu, R.Y. (1990) On a Notion of Data Depth Based on Random Simplices. The Annals of Statistics, 18, 405-414. http://dx.doi.org/10.1214/aos/1176347507
[7]	Ghosh, A.K. and Chaudhuri, P. (2005) On Maximum Depth and Related Classifiers. Scandinavian Journal of Statistics, 32, 327-350.
[8]	Hajlaoui, M. (2010) A Graphical Quality Control Procedure Using Data Depth. Advances & Applications in Statistics, 19, 97-111.
[9]	Hajlaoui, M. (2011) On the Charting Procedures: T2 Chart and DD-Diagram. International Journal of Quality, Statistics, and Reliability, 2011, Article ID: 830764. http://dx.doi.org/10.1155/2011/830764