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- Title
Estimation in X-bar control charts: effects and corrections.
- Authors
Quinino, Roberto; Lee Ho, Linda; Trindade, Anderson
- Abstract
This paper presents an approach for improving the control limits of $$ \overline{X} $$ control charts when the parameters of the process are estimated and the control chart is in operation. In these conditions, the observed average run length (ARL) may be very different from the planned ARL since the parameter estimates may have a larger error. To minimize this problem, the data collected in effective control (phase 2) will be used to re-estimate the parameters with a precision greater than that obtained in phase 1. Thus, we defined a minimum sample size of observations of phase 2, which is constituted of a mixture of two normal distributions that should be used to re-estimate the process parameters. The proposal is illustrated with numerical example.
- Subjects
QUALITY control charts; PARAMETER estimation; ACQUISITION of data; ERROR analysis in mathematics; STATISTICAL process control; SAMPLE size (Statistics)
- Publication
International Journal of Advanced Manufacturing Technology, 2014, Vol 72, Issue 1-4, p101
- ISSN
0268-3768
- Publication type
Article
- DOI
10.1007/s00170-013-5605-6