Date of Graduation

12-2012

Document Type

Thesis

Degree Name

Master of Science in Industrial Engineering (MSIE)

Degree Level

Graduate

Department

Industrial Engineering

Advisor/Mentor

Justin Chimka

Committee Member

Heather Nachtmann

Second Committee Member

Chase Rainwater

Keywords

Pure sciences, Applied sciences, c chart, Economic quality control, Poisson, Quality control, Regression, Statistical quality control

Abstract

Because the probability of Type I error is not evenly distributed beyond upper and lower three-sigma limits the c chart is theoretically inappropriate for a monitor of Poisson distributed phenomena. Furthermore, the normal approximation to the Poisson is of little use when c is small. These practical and theoretical concerns should motivate the computation of true error rates associated with individuals control assuming the Poisson distribution. An economic alternative to the c chart is described as a statistical model of upward shift from c0 to c1 and the two charts are compared in theory. For a range of c chart costs the savings associated with economic design increase linearly.

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