Performance of T 2-based PCA mix control chart with KDE control limit for monitoring variable and attribute characteristics

Abstract

Abstract In this work, the mixed multivariate T 2 control chart’s detailed performance evaluation based on PCA mix is explored. The control limit of the proposed control chart is calculated using the kernel density approach. Through simulation studies, the proposed chart’s performance is assessed in terms of its capacity to identify outliers and process shifts. When 30% more outliers are included in the data, the proposed chart provides a consistent accuracy rate for identifying mixed outliers. For the balanced percentage of attribute qualities, misdetection happens because of the high false alarm rate. For unbalanced attribute qualities and excessive proportions, the masking effect is the key issue. The proposed chart shows the improved performance for the shift in identifying the shift in the process.

Keywords

• Hotelling’s T 2
• Kernel density estimation
• Mixed quality characteristics
• Outlier
• PCA mix