A Change Point Method for Monitoring Generalized Linear Profiles in Phase I

• Activity Number: 594
• Type: Topic Contributed
• Date/Time: Thursday, August 7, 2014 : 8:30 AM to 10:20 AM
• Sponsor: Quality and Productivity Section
• Author(s): Arthur Yeh*+
• Companies: Bowling Green State University
• Keywords: Binomial profile ; Change point model ; Generalized linear models ; Likelihood ratio test ; Phase I ; Profile Monitoring

Abstract

We are motivated to undertake the current research in an attempt to try to provide a unified framework for the Phase I control in the context of statistical profile monitoring. Such a framework can be used to tackle a large class of response variables, such as continuous, count or categorical response variables. The unified framework is based essentially on applying a change-point model to the class of generalized linear models. The proposed Phase I control chart is assessed and compared to the existing charts under binomial and Poisson profiles. Some diagnostic procedures are also discussed. A real data set obtained from a test lab is used to demonstrate how the proposed chart can be used in practical applications. Some future research directions are also discussed.