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