XbarR Class

XbarR is an X-bar chart for monitoring a process using sample ranges.

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

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

public class XbarR : 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

$\bar{\bar x} + k \frac{\bar{R}}{d_{2,n}\sqrt{n}}$

where $\bar{\bar{x}}$ is the grand mean of all of the observations, $\bar{R}$ is the mean of the observed ranges, n is the sample size, and k is the value of the "ControlLimit" attribute for the limit. Additionally, $d_{2,n}=E[R]/\sigma$ , where R is the range of data from a Gaussian distribution. Therefore $\bar{R}/d_{2,n}$ is an estimate of the within sample standard deviation.

By default, the chart contains an upper control limit with k=3, a lower control limit with k=-3, and a central line equal to $\bar{\bar{x}}$ . Additional control limits 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)

XbarR Class

Thread Safety

Remarks

Requirements

See Also