TY  - JOUR
T1  - Robust Hotelling&#146;s T<sup>2</sup> Charts with Median based Trimmed Estimators
AU - Syed-Yahaya, S.S. AU - Ali, H. AU - Abdul Rahman, A. AU - Mahat, N.I. AU - Haddad, F.S. 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 24
SP  - 9632
EP  - 9638
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.9632.9638
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.9632.9638
KW  - statistics
KW  -trimmed estimator
KW  -Hotelling’s T2 control chart
KW  -multivariate
KW  -measure
KW  -modification
AB  - It is well known that the traditional Hotelling&#146;s T<sup>2</sup> chart is inefficient when outliers are presented in
the data. To alleviate the problem, this study proposed three robust Hotelling&#146;s T<sup>2</sup> control charts using trimmed
estimators to replace the usual mean vector and the covariance matrix in the traditional T<sup>2</sup> chart. Trimming was
done using modified Mahalanobis distance with median as the location measure and one of the robust scale
estimators: MAD<sub>n</sub>, S<sub>n</sub> or T<sub>n</sub> as the scale measure. These modifications consequently produced three different 
trimmed estimators. Investigation on the performance of the proposed robust charts, measured in terms of false
alarm and probability of detection were conducted via. simulation study. The results were compared to the
traditional chart. It was discovered that the proposed control charts performed moderately in terms of
controlling false alarm and excellently in terms of probability of detection, surpassing the performance of
traditional control chart regardless of conditions.
ER  -