Abstract
For product manufacturing, control charts are important tools.
Different types of control charts are used to monitor different measures of
product characteristics. Among the numerous charts, the popular one is
the Hotelling’s T
2
chart. It is designed while taking into account the most
sensitive measures such as sample covariance matrix and sample mean
vector. However, the chart becomes ineffective in the presence of outliers.
This work proposes a new robust chart that overcomes the problems associated with other control charts. Our chart uses robust scale estimator,
Qn instead of the covariance matrix and Winsorized modified one step
M-estimator (WMOM) in place of the sample mean vector. The robust
chart could be removed without losing anything in the explanation. There
are two main performance measurements, false alarm and probability of
detection outliers. The results indicate that robust chart’s performance is
superior to that of the conventional control chart.
Firas Haddad, Mutasem K Alsmadi. (2018) Improvement of The Hotelling’s T 2 Charts Using Robust Location Winsorized One Step M-Estimator (WMOM), Punjab University Journal of Mathematics, Volume 50, Issue 1.
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