An Economic Alternative to the c Chart

Publication Year:
2012
Usage 32
Downloads 30
Abstract Views 2
Repository URL:
http://scholarworks.uark.edu/etd/639
Author(s):
Black, Ryan William
Tags:
Pure sciences; Applied sciences; c chart; Economic quality control; Poisson; Quality control; Regression; Statistical quality control; Applied Statistics; Statistical Models
thesis / dissertation description
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.