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Monitoring the Slopes of Linear Profiles

Summary: [This abstract is based on the authors' abstract.] A Shewhart-type control chart is proposed for monitoring slopes of linear profiles. The performance of the chart in Phase I is demonstrated using both real-life and simulated data. In Phase II application, the proposed chart has an advantage over a T² chart in that the average run length depends on the shifts of slopes without requiring the correlation between the estimated slope and the intercept.

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  • Topics: Statistical Process Control (SPC), Problem Solving, Design of Experiments
  • Keywords: Linear regression, Statistical process control (SPC), Shewhart control chart, Response model, Monitoring
  • Author: Zhu, Junjia; Lin, Dennis K. J.
  • Journal: Quality Engineering