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
Chimka, Justin R.
Committee Member
Nachtmann, Heather L.
Second Committee Member
Rainwater, Chase E.
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
