IMSL C# Numerical Library

XbarS Class

XbarS is an X-bar chart for monitoring a process using sample standard deviations.

For a list of all members of this type, see XbarS Members.

System.Object
   Imsl.Chart2D.AbstractChartNode
      Imsl.Chart2D.ChartNode
         Imsl.Chart2D.Data
            Imsl.Chart2D.QC.ShewhartControlChart
               Imsl.Chart2D.QC.XbarS

public class XbarS : ShewhartControlChart

Thread Safety

Public static (Shared in Visual Basic) members of this type are safe for multithreaded operations. Instance members are not guaranteed to be thread-safe.

Remarks

The control limits are at

\bar{\bar{x}} + k \frac{\bar{s}}{c_{4,n}\sqrt{n}}
where \bar{\bar{x}} is the grand mean of all of the observations, n is the sample size, and k is the value of the "ControlLimit" attribute for the limit. Additionally, c_{4,n} is a factor such that \bar{s}/c_{4,n} is an unbiased estimator of the within sample standard deviation.

By default, the chart contains an upper control limit line with k=3, a lower control limit line with k=-3, and a central line equal to \bar{\bar{x}}. Additional control limit lines can be added. The method AddWeco adds control limits with k = -2, -1, 1, 2.

Requirements

Namespace: Imsl.Chart2D.QC

Assembly: ImslCS (in ImslCS.dll)

See Also

XbarS Members | Imsl.Chart2D.QC Namespace | Example | NIST Engineering Statistics Handbook: Shewhart X-bar and R and S Control Charts