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Average Run Length (ARL)

The Average Run Length is the number of points that, on average, will be plotted on a control chart before an out of control condition is indicated (for example a point plotting outside the control limits).

If the process is in control:

If the process is out of control:

Where α is the probability of a Type I error and β the probability of a Type II error.

For an overview of this topic see the Statistical Process Control entry.

 MiC Quality offers courses in Statistical Process Control and Advanced Statistical Process Control. Try out our courses by taking the first module of the Primer in Statistics free of charge.
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