JMSLTM Numerical Library 6.1

com.imsl.chart.qc
Class XmR

java.lang.Object
  extended by com.imsl.chart.AbstractChartNode
      extended by com.imsl.chart.ChartNode
          extended by com.imsl.chart.Data
              extended by com.imsl.chart.qc.ShewhartControlChart
                  extended by com.imsl.chart.qc.XmR
All Implemented Interfaces:
Serializable, Cloneable

public class XmR
extends ShewhartControlChart

XmR is an XmR chart for monitoring a process using moving ranges.

The moving range control chart uses the moving range of two successive observations to measure the process variability. This control chart is used for individual measurements (sample size = 1). The moving range is defined to be mathrm{MR}_i=|x_i-x_{i-1}|. The control limits are at

bar{x}+kfrac{overline{MR}}{d_{2,2}}

where bar{x} is the mean of all of the individual observations, overline{MR} is the mean of the moving averages, and k is the value of the "ControlLimit" attribute for the line. Additionally, d_{2,n}=E(R)/sigma where R is the range of a Gaussian distribution. Therefore overline{MR}/d_{2,2} is an estimate of the 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{x}. Additionally control limits can be added. The method addWeco adds control limits with k = -2, -1, 1, 2.

See Also:
Example, NIST Engineering Statistics Handbook: Individuals Control Charts, Serialized Form

Field Summary
 
Fields inherited from class com.imsl.chart.qc.ShewhartControlChart
d2, d3
 
Fields inherited from class com.imsl.chart.ChartNode
AXIS_X_TOP, AXIS_Y_RIGHT, BAR_TYPE_HORIZONTAL, BAR_TYPE_VERTICAL, DASH_PATTERN_DASH, DASH_PATTERN_DASH_DOT, DASH_PATTERN_DOT, DASH_PATTERN_SOLID, DATA_TYPE_FILL, DATA_TYPE_LINE, DATA_TYPE_MARKER, DATA_TYPE_PICTURE, DATA_TYPE_TUBE, DENDROGRAM_TYPE_HORIZONTAL, DENDROGRAM_TYPE_VERTICAL, FILL_TYPE_GRADIENT, FILL_TYPE_NONE, FILL_TYPE_PAINT, FILL_TYPE_SOLID, LABEL_TYPE_PERCENT, MARKER_TYPE_ASTERISK, MARKER_TYPE_CIRCLE_CIRCLE, MARKER_TYPE_CIRCLE_PLUS, MARKER_TYPE_CIRCLE_X, MARKER_TYPE_DIAMOND_PLUS, MARKER_TYPE_FILLED_CIRCLE, MARKER_TYPE_FILLED_DIAMOND, MARKER_TYPE_FILLED_SQUARE, MARKER_TYPE_FILLED_TRIANGLE, MARKER_TYPE_HOLLOW_CIRCLE, MARKER_TYPE_HOLLOW_DIAMOND, MARKER_TYPE_HOLLOW_SQUARE, MARKER_TYPE_HOLLOW_TRIANGLE, MARKER_TYPE_OCTAGON_PLUS, MARKER_TYPE_OCTAGON_X, MARKER_TYPE_PLUS, MARKER_TYPE_SQUARE_PLUS, MARKER_TYPE_SQUARE_X, MARKER_TYPE_X, TEXT_X_CENTER, TEXT_X_LEFT, TEXT_X_RIGHT, TEXT_Y_BOTTOM, TEXT_Y_CENTER, TEXT_Y_TOP
 
Fields inherited from class com.imsl.chart.AbstractChartNode
AUTOSCALE_DATA, AUTOSCALE_DENSITY, AUTOSCALE_NUMBER, AUTOSCALE_OFF, AUTOSCALE_WINDOW, AXIS_X, AXIS_Y, AXIS_Z, LABEL_TYPE_NONE, LABEL_TYPE_TITLE, LABEL_TYPE_X, LABEL_TYPE_Y, LABEL_TYPE_Z, TRANSFORM_CUSTOM, TRANSFORM_LINEAR, TRANSFORM_LOG
 
Constructor Summary
XmR(AxisXY axis, double[] x)
          Creates an XmR chart given sample data.
 
Method Summary
 double getMRBar()
          Returns the expected mean of of all of the moving ranges of two observations.
 void prePaint()
          Setup chart with current settings.
 void setMRBar(double mrBar)
          Sets the expected mean of all of the moving ranges of two observations.
 
Methods inherited from class com.imsl.chart.qc.ShewhartControlChart
addCenterLine, addControlLimit, addLowerControlLimit, addUpperControlLimit, addWecoLimits, dataRange, getCenter, getCenterLine, getControlData, getLowerControlLimit, getMeanSampleSize, getSampleSize, getUpperControlLimit, paint, removeControlLimit, setCenter, setData, setData, setSampleSize, setSampleSize, setX
 
Methods inherited from class com.imsl.chart.Data
formatLabel
 
Methods inherited from class com.imsl.chart.ChartNode
addPickListener, firePickListeners, getALT, getAxis, getBackground, getBarGap, getBarType, getBarWidth, getChart, getChartTitle, getChildren, getClipData, getComponent, getConcatenatedViewport, getDataType, getDoubleBuffering, getExplode, getFillOutlineColor, getFillOutlineType, getFillPaint, getFillType, getGradient, getHREF, getLegend, getLineDashPattern, getMarkerDashPattern, getMarkerThickness, getMarkerType, getParent, getReference, getScreenAxis, getScreenSize, getScreenViewport, getSize, getSkipWeekends, getTextAngle, getTextColor, getTitle, getToolTip, getViewport, isBitSet, removePickListener, setALT, setBarGap, setBarType, setBarWidth, setChartTitle, setClipData, setCustomTransform, setDataType, setDoubleBuffering, setExplode, setFillOutlineColor, setFillOutlineColor, setFillOutlineType, setFillPaint, setFillPaint, setFillPaint, setFillType, setGradient, setGradient, setGradient, setHREF, setImage, setLineDashPattern, setMarkerDashPattern, setMarkerThickness, setMarkerType, setReference, setScreenSize, setSize, setSkipWeekends, setTextAngle, setTextColor, setTextColor, setTitle, setTitle, setToolTip, setViewport, setViewport
 
Methods inherited from class com.imsl.chart.AbstractChartNode
clone, clone, clone, clone, getAbstractParent, getAttribute, getAutoscaleInput, getAutoscaleMinimumTimeInterval, getAutoscaleOutput, getBooleanAttribute, getChildList, getColorAttribute, getCustomTransform, getDensity, getDoubleAttribute, getFillColor, getFont, getFontName, getFontSize, getFontStyle, getImage, getIntegerAttribute, getLabelType, getLightColor, getLineColor, getLineWidth, getLocale, getMarkerColor, getMarkerSize, getName, getNumber, getPaint, getStringAttribute, getTextFormat, getTickLength, getTransform, getX, getY, isAncestorOf, isAttributeSet, isAttributeSetAtThisNode, parseColor, remove, setAttribute, setAutoscaleInput, setAutoscaleMinimumTimeInterval, setAutoscaleOutput, setDensity, setFillColor, setFillColor, setFont, setFontName, setFontSize, setFontStyle, setImage, setLabelType, setLightColor, setLightColor, setLineColor, setLineColor, setLineWidth, setLocale, setMarkerColor, setMarkerColor, setMarkerSize, setName, setNumber, setPaint, setTextFormat, setTextFormat, setTickLength, setTransform, setX, setY, toString
 
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait
 

Constructor Detail

XmR

public XmR(AxisXY axis,
           double[] x)
Creates an XmR chart given sample data.

Parameters:
axis - the AxisXY parent of this node
x - is an array containing sample data.
Method Detail

getMRBar

public double getMRBar()
Returns the expected mean of of all of the moving ranges of two observations.

Returns:
the expected mean of the moving ranges.

prePaint

public void prePaint()
Setup chart with current settings.

Overrides:
prePaint in class ChartNode

setMRBar

public void setMRBar(double mrBar)
Sets the expected mean of all of the moving ranges of two observations. This defaults to the mean of the moving ranges computed by the constructor from the data. Its default value is the computed from the data passed to the constructor.

Parameters:
mrBar - is the expected mean of the moving ranges.

JMSLTM Numerical Library 6.1

Copyright © 1970-2010 Visual Numerics, Inc.
Built July 30 2010.