Date of Graduation
Master of Science in Industrial Engineering (MSIE)
Second Committee Member
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.
Black, Ryan William, "An Economic Alternative to the c Chart" (2012). Theses and Dissertations. 639.