com.imsl.chart.qc
Class RChart

java.lang.Object
  com.imsl.chart.AbstractChartNode
      com.imsl.chart.ChartNode
          com.imsl.chart.Data
              com.imsl.chart.qc.ShewhartControlChart
                  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

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, 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 . Therefore

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