Construction Robust -Chart and Compare it with Hotelling’s T2-Chart

Bekhal  Samad Sedeeq; Zainab Abdulla  Muhammad; Israa Muayad  Ali; Taha Hussein  Ali

doi:10.21271/zjhs.28.1.11

المؤلفون

Bekhal Samad Sedeeq Department of Statistics and Informatics, College of Administration and Economics, Salahaddin-Erbil
Zainab Abdulla Muhammad Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil
Israa Muayad Ali Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil
Taha Hussein Ali Department of Statistics and Informatics, College of Administration and Economics, Salahaddin University-Erbil

DOI:

https://doi.org/10.21271/zjhs.28.1.11

الكلمات المفتاحية:

Multivariate Quality Control Charts, Robust, Outliers, T2-Chart.

الملخص

This paper proposes a new multivariate chart corresponding to a T2- chart robust to outliers using three methods, namely the Rousseuw and Leroy algorithm, Maronna and Zamar, and the family of "concentration algorithms" by Olive and Hawkins. Then the comparison between the proposed and classical method of the researcher Shewhart depending on the total variance (trace variance matrix) and the general variance (determinant of the variance matrix) to obtain the most efficient paintings against outliers through simulation and real data and using a program in MATLAB language designed for this purpose. The study concluded that the proposed charts dealt with the problem of the influence of outliers and were more efficient than the classical method.

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