# An Economic Alternative to the c Chart

- Publication Year:
- 2012

## Explore PlumX Metrics

What are PlumX Metrics? How can they help tell the story about this research? How can I use them?

Learn more-
- Bepress 27

- Repository URL:
- http://scholarworks.uark.edu/etd/639

- Author(s):

- 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.