JSM 2004 - Toronto

Abstract #300051

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Activity Number: 92
Type: Invited
Date/Time: Monday, August 9, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Quality and Productivity
Abstract - #300051
Title: Monitoring Mean Shifts for Multistage Processes Using Generalized Linear Models
Author(s): Douglas Montgomery*+ and Duangporn Jearkpaporn and George Runger and Connie Borror
Companies: Arizona State University and Arizona State University and Arizona State University and Arizona State University
Address: , Tempe, AZ, 85287,
Keywords: model-based control charts ; generalized linear models ; multistage process
Abstract:

This paper develops a monitoring scheme for detecting a mean shift of a multistage manufacturing process for a mixture of normally and non-normally distributed variables (and gamma-distributed responses). The procedure is based on a deviance residual obtained from a generalized linear model. The deviance residual is shown to be a likelihood ratio statistic for detecting a mean shift in many cases for distributions in exponential family class. The performance of the proposed method is investigated and compared with control charts based on individual observations and T2 chart are provided and illustrated by a simulation study.

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Revised March 2004