A Robust Bivariate Control Chart Alternative to the Hotelling's T2 Control Chart

A Robust Bivariate Control Chart Alternative to the Hotelling's T2 Control Chart

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Article ID: iaor201523791
Volume: 30
Issue: 1
Start Page Number: 25
End Page Number: 35
Publication Date: Feb 2014
Journal: Quality and Reliability Engineering International
Authors: , ,
Keywords: simulation: applications
Abstract:

In this paper, we proposed a new bivariate control chart denoted by TMEDMAD2 based on the robust estimation as an alternative to the Hotelling's T2 control chart. The location vector and the variance‐covariance matrix for the new control chart are obtained using the sample median, the median absolute deviation from the sample median, and the comedian estimator. The performance of the proposed method in detecting outliers is evaluated and compared with the Hotelling's T2 method using a Monte‐Carlo simulation study. A numerical example is considered to illustrate the application of the proposed method.

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