JMSLTM Numerical Library 6.1

com.imsl.chart.qc
Class SChart

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.SChart
All Implemented Interfaces:
Serializable, Cloneable

public class SChart
extends ShewhartControlChart

SChart is an S chart using sample standard deviations to monitor the variability of a process. This is normally used with sample sizes greater than 10. The control limits are at

bar{s} + k frac{bar{s}}{c_{4,n}}sqrt{1-c_{4,n}^2}

where bar{s} is the mean of the within sample standard deviations, n is the sample size, and k is the value of the "ControlLimit" attribute for the line. Additionally,

c_{4,n}=sqrt{frac{2}{n-1}}frac{Gamma(frac{n}{2})}{Gamma(frac{n-1}{2})}

is a factor such that bar{s}/c_{4,n} is an unbiased estimator of the within sample 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{s}. Additional control limit lines can be added. The method addWeco adds control limits 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
SChart(AxisXY axis, double[][] x)
          Creates an S chart given sample data.
SChart(AxisXY axis, int[] sampleSize, double[] s)
          Creates an S chart given the within sample standard deviations for a series of unequally sized samples.
SChart(AxisXY axis, int sampleSize, double[] s)
          Creates an S chart given the within sample standard deviations 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

SChart

public SChart(AxisXY axis,
              double[][] x)
Creates an S 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 row must have at least two entries.

SChart

public SChart(AxisXY axis,
              int[] sampleSize,
              double[] s)
Creates an S chart given the within sample standard deviations for a series of unequally sized samples.

Parameters:
axis - the AxisXY parent of this node
sampleSize - is an array containing the number of observations in each sample. All samples must have at least two observations.
s - is an array containing the within sample standard deviations for a series of samples.
Throws:
IllegalArgumentException - is thrown if the two input arrays do not have the same length.

SChart

public SChart(AxisXY axis,
              int sampleSize,
              double[] s)
Creates an S chart given the within sample standard deviations 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.
s - is an array containing the within sample standard deviations 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.