RChart Class

RChart is an R chart using sample ranges to monitor the variability of a process. Each sample must contain at least two observations. The range of a sample is the maximum observed value minus the minimum observed value.

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

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

public class RChart : 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

$\bar{R} + k \frac{d_{3,n}}{d_{2,n}}\bar{R}$

$\bar{R}$ is the mean of the observed ranges, n is the sample size, and k is the value of the "ControlLimit" attribute for the line. Additionally, $d_{2,n}$ is the mean of the distribution of the ranges of n samples from the normal distribution with mean zero and standard deviation one. The standard deviation of this distribution is $d_{3,n}$ . Therefore

$\frac{d_{3,n}}{d_{2,n}}\bar{R}$

is an estimator of the standard deviation of the ranges.

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 with k=0. Additional control limit lines can be added. The method AddWeco adds control limit lines with k = -2, -1, 1, 2.

Requirements

Namespace: Imsl.Chart2D.QC

Assembly: ImslCS (in ImslCS.dll)

RChart Class

Thread Safety

Remarks

Requirements

See Also