JMSLTM Numerical Library 6.1

com.imsl.chart.qc
Class RChart

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.RChart
All Implemented Interfaces:
Serializable, Cloneable

public class RChart
extends ShewhartControlChart

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.

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.

See Also:
Example, NIST Engineering Statistics Handbook: Shewhart X-bar and R and S 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
RChart(AxisXY axis, double[][] x)
          Creates an R chart given sample data.
RChart(AxisXY axis, int[] sampleSize, double[] range)
          Creates an R chart given the means for a series of equally sized samples.
RChart(AxisXY axis, int sampleSize, double[] range)
          Creates an R chart given the ranges for a series of equally sized samples.
 
Method Summary
 void prePaint()
          Setup chart with current settings.
 
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

RChart

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

Parameters:
axis - the AxisXY parent of this node
x - is an array of arrays containing sample data. The data of the i-th sample is in x[i]. Each sample must contain at least 2 and no more than 50 observations.
Throws:
IllegalArgumentException - is thrown if the number of samples is less than 2 or greater than 50.

RChart

public RChart(AxisXY axis,
              int[] sampleSize,
              double[] range)
Creates an R chart given the means for a series of equally sized samples.

Parameters:
axis - the AxisXY parent of this node
sampleSize - is an array containing the number of observations in each sample. It must be at least 2 and no more than 50.
range - is an array containing the data ranges for a series of samples.

RChart

public RChart(AxisXY axis,
              int sampleSize,
              double[] range)
Creates an R chart given the ranges for a series of equally sized samples.

Parameters:
axis - the AxisXY parent of this node
sampleSize - is the number of observations in each sample. It must be at least 2 and no more than 50.
range - is an array containing the data ranges for a series of samples.
Method Detail

prePaint

public void prePaint()
Setup chart with current settings.

Overrides:
prePaint in class ChartNode

JMSLTM Numerical Library 6.1

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