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Parameter: Jurnal Matematika, Statistika dan Terapannya
Published by Universitas Pattimura
ISSN : 28296303     EISSN : 28296303     DOI : https://doi.org/10.30598/parameterv3i01y2024
Core Subject : Education,
Mathematics
Parameter: Jurnal Matematika, Statistika dan Terapannya is an open access journal (e-journal) published since April 2022. Parameteris published by Department of Mathematics, Faculty of Science and Mathematics, Pattimura. Parameterpublished scientific articles on various aspects related to mathematics and statistics and its application. Articles can be in the form of research results, case studies, or literature reviews.
Arjuna Subject : Matematika - Matematika Terapan
Articles 111 Documents
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EWMA Robust Max-M Control Chart for Synthetic and Real Data Samin Radjid; Wibawati Wibawati; Muhammad Ahsan
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 5 No 1 (2026): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv5i1pp219-232

Abstract

Quality monitoring in multivariate industrial processes requires a control chart that can simultaneously evaluate changes in the process mean and variability. This study applies the Exponentially Weighted Moving Average Robust Max-M Control Chart (ERMM-Chart) to synthetic data and real cement clinker quality data. The ERMM-Chart is constructed from a robust Max-M statistic that monitors the mean and variability components, followed by an Exponentially Weighted Moving Average (EWMA) smoothing mechanism. Phase I parameters are estimated using the Fast Minimum Covariance Determinant (Fast-MCD) method to obtain robust estimates of the process center and covariance matrix. The synthetic data are used to illustrate the response of the ERMM-Chart under no-shift, mean-shift, variability-shift, and simultaneous mean-variability shift conditions. Meanwhile, the real clinker data are analyzed using two quality characteristics, namely free lime (FCaO) and tetracalcium aluminoferrite (C4AF). The results show that the ERMM-Chart can distinguish the reference phase from the monitoring phase through statistic points exceeding the upper control limit. The chart also provides early detection of process changes based on the Run Length value. Thus, the ERMM-Chart can be used as a robust simultaneous multivariate control chart for individual observations.

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