Effects of parameter estimation on control chart properties: A literature review

被引:442
作者
Jensen, Willis A. [1 ]
Jones-Farmer, L. Allison
Champ, Charles W.
Woodall, William H.
机构
[1] WL Gore & Assoc Inc, Med Prod Div, Flagstaff, AZ 86003 USA
[2] Auburn Univ, Dept Management, Auburn, AL 36849 USA
[3] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
[4] Virginia Polytech Inst & State Univ, Dept Stat, Blacksburg, VA 24061 USA
关键词
ARL; conditional distribution; marginal distribution; phase I; phase II; run-length performance; sample size; Shewhart chart; statistical process control;
D O I
10.1080/00224065.2006.11918623
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Control charts are powerful tools used to monitor the quality of processes. In practice, control chart limits are often calculated using parameter estimates from an in-control Phase I reference sample. In Phase II of the monitoring scheme, statistics based on new samples are compared with the estimated control limits to monitor for departures from the in-control state. Many studies that evaluate control chart performance in Phase II rely on the assumption that the in-control parameters are known. Although the additional variability introduced into the monitoring scheme through parameter estimation is known to affect the chart performance, many studies do not consider the effect of estimation on the performance of the chart. This paper contains a review of the literature that explicitly considers the effect of parameter estimation on control chart properties. Some recommendations are made and future research ideas in this area are provided.
引用
收藏
页码:349 / 364
页数:16
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