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Activity Number: 426
Type: Contributed
Date/Time: Tuesday, August 6, 2013 : 2:00 PM to 3:50 PM
Sponsor: Quality and Productivity Section
Abstract - #307823
Title: A Generalized Statistical Control Chart for Over- or Under-Dispersed Data
Author(s): Kimberly Sellers*+
Companies: Georgetown University
Keywords: attribute control chart ; Conway-Maxwell-Poisson distribution ; count data ; Poisson distribution ; Shewhart control chart
Abstract:

The Poisson distribution is a popular distribution used to describe count information, from which control charts involving count data have been established. Several works recognize the need for a generalized control chart to allow for data over-dispersion; however, analogous arguments can also be made to account for potential underdispersion. The Conway-Maxwell-Poisson (COM-Poisson) distribution is a general count distribution that relaxes the equi-dispersion assumption of the Poisson distribution and, in fact, encompasses the special cases of the Poisson, geometric, and Bernoulli distributions. Accordingly, a flexible control chart is developed that encompasses the classical Shewart charts based on the Poisson, Bernoulli (or binomial), and geometric (or negative binomial) distributions.


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