首页 | 本学科首页   官方微博 | 高级检索  
     


Diagnosis of Multivariate Control Chart Signal Based on Dummy Variable Regression Technique
Abstract:Abstract

It is common to monitor several correlated quality characteristics using the Hotelling's T 2 statistic. However, T 2 confounds the location shift with scale shift and consequently it is often difficult to determine the factors responsible for out of control signal in terms of the process mean vector and/or process covariance matrix. In this paper, we propose a diagnostic procedure called ‘D-technique’ to detect the nature of shift. For this purpose, two sets of regression equations, each consisting of regression of a variable on the remaining variables, are used to characterize the ‘structure’ of the ‘in control’ process and that of ‘current’ process. To determine the sources responsible for an out of control state, it is shown that it is enough to compare these two structures using the dummy variable multiple regression equation. The proposed method is operationally simpler and computationally advantageous over existing diagnostic tools. The technique is illustrated with various examples.
Keywords:Hotelling's T 2  Multivariate control chart  2 control charts  Multiple regression equation  Subset regression
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号