NONPARAMETRIC CONTROL CHARTS BASED ON MAHALANOBIS DEPTH

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Hacettepe Journal of Mathematics and Statistics
Volume:33
NONPARAMETRIC CONTROL CHARTS BASED ON MAHALANOBIS DEPTH

NONPARAMETRIC CONTROL CHARTS BASED ON MAHALANOBIS DEPTH

Authors : Canan HAMURKAROĞLU, Mehmet MERT, Yasemin SAYKAN

Pages : 57-67

View : 22 | Download : 11

Publication Date : 2004-01-01

Article Type : Research Paper

Abstract :This study concerns the use of r and Q control charts based on data depth to control process involving multivariate quality measurements. In this paper, firstly the concept of data depth is introduced in order to construct quality control chart structures, the characteristics of data depth are given and statistics based on this concept are obtained. Fol- lowing this, the structures and interpretations of mainly nonparametric r and Q control charts are explained for the Mahalanobis depth measure used in statistical quality control by means of an example.
Keywords : Control Charts, r Chart, Q Chart, Multivariate statistical process control, Depth function

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