Effects of Parameter Estimation on Control Chart Properties: A Review

Authors

Willis A. Jensen, W. L. Gore & Associates, Inc.
Allison L. Jones-Farmer, Auburn UniversityFollow
Charles W. Champ, Georgia Southern UniversityFollow
William H. Woodall, Virginia Polytechnic Institute and State University

Document Type

Article

Publication Date

10-2006

Publication Title

Journal of Quality Technology

DOI

10.1080/00224065.2006.11918623

ISSN

0022-4065

Abstract

Control chart limits are often calculated using parameter estimates from an in-control Phase I reference sample. In Phase II monitoring, statistics based on new samples are compared with the estimated control limits to monitor for departures from the in-control state. Many studies to evaluate control chart performance in Phase II assume that in-control parameters are known, although it is known that additional variability introduced through parameter estimation affects the performance of the chart. A review of the literature is given that considers the effect of parameter estimation on control chart properties. Recommendations and ideas for future research are given.

Recommended Citation

Jensen, Willis A., Allison L. Jones-Farmer, Charles W. Champ, William H. Woodall. 2006. "Effects of Parameter Estimation on Control Chart Properties: A Review." Journal of Quality Technology, 38 (4): 349-364. doi: 10.1080/00224065.2006.11918623
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/494