Date of Graduation
12-2012
Document Type
Thesis
Degree Name
Master of Science in Industrial Engineering (MSIE)
Degree Level
Graduate
Department
Industrial Engineering
Advisor
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.
Citation
Black, R. W. (2012). An Economic Alternative to the c Chart. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/639