# Quality and Reliability Engineering International

## Control Chart Limits for Monitoring Process Mean Based on Downton's Estimator

### Journal Article

Control charts are important tools in statistical process control used to monitor shift in process mean and variance. This paper proposes a control chart for monitoring the process mean using the Downton estimator and provides table of constant factors for computing the control limits for sample size (n ≤ 10). The derived control limits for process mean were compared with control limits based on range statistic. The performance of the proposed control charts was evaluated using the average run length for normal and non‐normal process situations. The obtained results showed that the ${\overline{\mathbf{X}}}_{\mathbf{D}}$ control chart, using the Downton statistic, performed better than Shewhart $\overline{\mathbf{X}}$ chart using range statistic for detection of small shift in the process mean when the process is non‐normal and compares favourably well with Shewhart $\overline{\mathbf{X}}$ chart that is normally distributed. Copyright © 2015 John Wiley & Sons, Ltd.

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