jhplot

Class H2D

java.lang.Object

jhplot.Plottable

jhplot.DrawOptions

jhplot.H2D

All Implemented Interfaces:

Serializable

public class H2D
extends DrawOptions
implements Serializable

Histogram in two dimensions (2D). Main class to create a 2D histogram. Each bin in 2D is characterized by 2 indexes, i and j. This class is a direct extension of the H1D used for 1D case. Use the get() method to access JAIDA Histogram2D histogram class.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
H2D(hep.aida.ref.histogram.Cloud2D c2d, int binX, int binY) Create H2D histogram from Cloud2D.
H2D(hep.aida.ref.histogram.Histogram2D h1) Create a H2D histogram from JAIDA histogram
H2D(hep.aida.IHistogram2D h1) Create H2D histogram from JAIDA IHistogram2D class
H2D(String title, double[] edgesX, double[] edgesY) Create a 2D histogram using variable size bins in X and Y
H2D(String title, hep.aida.IAxis xAx, hep.aida.IAxis yAy) Define H2D in terms of axis
H2D(String title, int binsX, double minX, double maxX, int binsY, double minY, double maxY) Create 2D histogram
H2D(hep.io.root.interfaces.TH2 h2t) Create H2D histogram from JAIDA TH1 histogram class

Method Summary

Modifier and Type	Method and Description
int	allEntries() Get number of all entries
int	binEntries(int indexX, int indexY) Number of entries in the corresponding bin (i.e.
double	binError(int indexX, int indexY) Error of the corresponding bin.
double[][]	binErrors() Get errors on heights as 2D array.
double	binHeight(int indexX, int indexY) Total height of the corresponding bin.
double[][]	binHeights() Get bin heights as 2D array.
double[]	binMeans(int i, int j) Get bin mean position at the location (i,i)
double[][]	binMeansX() Get mean position for X axis as 2D array.
double[][]	binMeansY() Get mean position for Y axis as 2D array.
void	clear()
Map<String,Double>	compareChi2(F2D f1) Compare the histogram with a function.
Map<String,Double>	compareChi2(H2D h2) Compare two 2D histograms.
H2D	copy() Make a copy of the data holder
H2D	copy(String newtitle) Get exact copy of the current histogram.
void	doc() Show online documentation.
int	entries() Number of in-range entries in the histogram
int	extraEntries() Get the number of entries in the underflow and overflow bins.
void	fill(hep.aida.ref.histogram.Cloud2D c2d) Fill H2D histogram from Cloud2D.
void	fill(double[] value1, double[] value2) Fill H2D histogram from 2 arrays (X amd Y).
void	fill(double[] value1, double[] value2, double[] weights) Fill H2D histogram from arrays.
void	fill(double value1, double value2) Fill H2D histogram assuming all weights are unity.
void	fill(double value1, double value2, double weight) Fill H2D histogram with weights
void	fill(int TotNumber, cern.jet.random.AbstractDistribution random1, cern.jet.random.AbstractDistribution random2) Fill the histogram with random numbers.
void	fill(P0D value1, P0D value2) Fill H2D histogram from 2 arrays.
void	fill(P0I value1, P0I value2) Fill H2D histogram from 2 arrays.
void	fillGauss(int TotNumber, double meanX, double sdX, double meanY, double sdY) Fill the histogram with random numbers from Gaussian (Normal) distribution.
void	fillRnd(int TotNumber, double meanX, double widthX, double meanY, double widthY) Fill the histogram with random numbers from fralt distribution.
int	findBinX(double x) Convert a coordinate X on the axis to a bin number
int	findBinY(double y) Convert a coordinate Y on the axis to a bin number
hep.aida.ref.histogram.Histogram2D	get() Get the JAIDA Histogram2D
hep.aida.IAxis	getAxisX() Get IAxis in X
hep.aida.IAxis	getAxisY() Get IAxis in Y
int	getBinsX() Get the number of bins in X
int	getBinsY() Get the number of bins in Y
H2D	getDensity() Get a density distribution dividing each bin of the histogram by the bin width and the total number of heights for all bins.
double[]	getLowerEdgesX() Get lower edges for X bins as 1D array.
double[]	getLowerEdgesY() Get lower edges for Y bins as 1D array.
double	getLowerEdgeX(int index) Get lower edge of the bin in X
double	getLowerEdgeY(int index) Get lower edge of the bins in Y
double	getMaxX() Get max value of axis in X
double	getMaxY() Get max value of Y axis
double	getMeanX() Get mean on X.
double	getMeanY() Get mean on Y
double	getMinX() Get min value of axis in X
double	getMinY() Get min value of Y axis
int	getOverflowEntriesX() Get overflow entries in Y
int	getOverflowEntriesY() Get overflow entries in Y
double	getOverflowHeightX() Get overflow entries in Y
double	getOverflowHeightY() Get overflow height in Y
H2D	getProbability() Return q probability distribution derived from a histogram.
double	getRmsX() Get RMS on X
double	getRmsY() Get RMS on Y
Map<String,Double>	getStat() Calculate complete statistics for this histogram for the X or Y Unlike other methods (like mean or rms), it performs calculations on the existing histogram, thus the method is somewhat slow.
int	getUnderflowEntriesX() Get underflow entries in X
int	getUnderflowEntriesY() Get underflow entries in Y
double	getUnderflowHeightX() Get underflow height in X
double	getUnderflowHeightY() Get underflow height in Y
double	getUpperEdgeX(int index) Get upper edge of the bin in X
double	getUpperEdgeY(int index) Get upper edge of the bin in Y
double	integral(int BinMinX, int BinMaxX, int BinMinY, int BinMaxY) Integrate histogram between two indices.
double	integral(int BinMinX, int BinMaxX, int BinMinY, int BinMaxY, boolean timesBinWidth) Integrate histogram between two indices.
double	integralRange(double xMin, double xMax, double yMin, double yMax, boolean timesBinWidth) Integrate histogram in the range.
H2D	oper(H2D a, String title, String what) Various manipulations with histograms (+,-,*,/).
H2D	operScale(String title, double scaleFactor) Scale the histogram and return scaled object.
void	scale(double scaleFactor) Scale the histogram.
void	scale(String title, double scaleFactor) Scale the histogram.
void	setBinError(int indexX, int indexY, double error) Set the error on this bin.
void	setContents(double[][] heights, double[][] errors) Set content of H2D histogram
void	setContents(double[][] heights, double[][] errors, int[][] entries, double[][] meanXs, double[][] rmsXs, double[][] meanYs, double[][] rmsYs) Set the content of the whole Histogram at once.
void	setMeanX(double mean) Set mean on X.
void	setMeanY(double mean) Set mean on Y
void	setNEntries(int entries) Set all entries.
void	setRmsX(double rmsX) Set RMS on X.
void	setRmsY(double rmsY) Set RMS on Y
void	setValidEntries(int entries) Set in-range entries.
double	sumAllBinHeights() Get the sum of the bin heights for all the entries, in-range and out-range ones.
double	sumExtraBinHeights() Get the sum of the bin heights for all the entries outside the Histogram's range.

Methods inherited from class jhplot.DrawOptions

copyLinePars, getBinWidth, getColor, getDrawOption, getDrawOptions, getFillColor, getLegend, getLineParm, getLineStyle, getNameX, getNameY, getNameZ, getPenWidth, getSymbol, getSymbolShape, getSymbolSize, getTitle, getType, isBars, isErrX, isErrY, isFilled, printDrawOptions, printDrawOptions, setBars, setBinWidth, setColor, setDrawLine, setDrawLineKey, setDrawOption, setDrawSymbol, setErr, setErrAll, setErrColor, setErrColor, setErrColorX, setErrColorY, setErrFill, setErrFillColor, setErrFillColor, setErrSys, setErrSysFill, setErrSysFillColor, setErrSysFillColor, setErrSysX, setErrSysY, setErrTicSize, setErrX, setErrY, setFill, setFillColor, setFillColorTransparency, setGraphStyle, setLegend, setLineStyle, setNameX, setNameY, setNameZ, setPenDash, setPenDash, setPenWidth, setPenWidthErr, setPenWidthErrSys, setStyle, setSymbol, setSymbol, setSymbolSize, setTitle, setType

Methods inherited from class jhplot.Plottable

getLabelX, getLabelY, getLabelZ, is3D, set3D, setLabelX, setLabelY, setLabelZ

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

H2D

public H2D(String title,
           int binsX,
           double minX,
           double maxX,
           int binsY,
           double minY,
           double maxY)

Create 2D histogram

Parameters:

title - Title

binsX - Number of bins in X

minX - Min value in X

maxX - Max value in X

binsY - Number of bins in Y

minY - Min value in Y

maxY - Max value in Y

H2D

public H2D(hep.aida.IHistogram2D h1)

Create H2D histogram from JAIDA IHistogram2D class

Parameters:

h1 - IHistogram2D histogram from JAIDA

H2D

public H2D(hep.aida.ref.histogram.Cloud2D c2d,
           int binX,
           int binY)

Create H2D histogram from Cloud2D.

Parameters:

c2d - Cloud2D

binX - number of bins in X

binY - number of bins in Y

H2D

public H2D(String title,
           double[] edgesX,
           double[] edgesY)

Create a 2D histogram using variable size bins in X and Y

Parameters:

title - - bin titles

edgesX - - array with bin edges in X

edgesY - - array with bin edges in Y

H2D

public H2D(String title,
           hep.aida.IAxis xAx,
           hep.aida.IAxis yAy)

Define H2D in terms of axis

Parameters:

title - title

xAx - Axis for X

yAy - Axis for Y

H2D

public H2D(hep.aida.ref.histogram.Histogram2D h1)

Create a H2D histogram from JAIDA histogram

Parameters:

h1 - Histogram2D histogram

H2D

public H2D(hep.io.root.interfaces.TH2 h2t)

Create H2D histogram from JAIDA TH1 histogram class

Parameters:

h1t - TH1 histogram from JAIDA

Method Detail

get

public hep.aida.ref.histogram.Histogram2D get()

Get the JAIDA Histogram2D

Returns:

Histogram2D

setRmsY

public void setRmsY(double rmsY)

Set RMS on Y

Parameters:

rmsY - RMS on Y

setMeanY

public void setMeanY(double mean)

Set mean on Y

Parameters:

mean - on Y

getRmsY

public double getRmsY()

Get RMS on Y

getMeanY

public double getMeanY()

Get mean on Y

getMeanX

public double getMeanX()

Get mean on X.

getRmsX

public double getRmsX()

Get RMS on X

setNEntries

public void setNEntries(int entries)

Set all entries.

Parameters:

entries - entries

setValidEntries

public void setValidEntries(int entries)

Set in-range entries.

Parameters:

entries - entries

setRmsX

public void setRmsX(double rmsX)

Set RMS on X.

setMeanX

public void setMeanX(double mean)

Set mean on X.

Parameters:

mean - on X

setContents

public void setContents(double[][] heights,
                        double[][] errors)

Set content of H2D histogram

Parameters:

heights - heights

errors - errors

setContents

public void setContents(double[][] heights,
                        double[][] errors,
                        int[][] entries,
                        double[][] meanXs,
                        double[][] rmsXs,
                        double[][] meanYs,
                        double[][] rmsYs)

Set the content of the whole Histogram at once. This is a convenience method for saving/restoring Histograms. Of the arguments below the heights array cannot be null. The errors array should in general be non-null, but this depends on the specific binner. The entries array can be null, in which case the entry of a bin is taken to be the integer part of the height. If the means array is null, the mean is defaulted to the geometric center of the bin. If the rms array is null, the rms is taken to be the bin width over the root of 12.

Parameters:

heights - The bin heights

errors - The bin errors

entries - The bin entries

meanXs - The means of the bin along the x axis

rmsXs - The rmss of the bin along the x axis

meanYs - The means of the bin along the y axis

rmsYs - The rmss of the bin along the y axis

fill

public void fill(double value1,
                 double value2)

Fill H2D histogram assuming all weights are unity.

Parameters:

value1 - value in X

value2 - value in Y

fillGauss

public void fillGauss(int TotNumber,
                      double meanX,
                      double sdX,
                      double meanY,
                      double sdY)

Fill the histogram with random numbers from Gaussian (Normal) distribution. Seed is taken from time.

Parameters:

TotNumber - number generated events

meanX - mean of the gaussian in X

sdX - standard deviation in X

meanY - mean of the gaussian in Y

sdY - standard deviation in Y

fillRnd

public void fillRnd(int TotNumber,
                    double meanX,
                    double widthX,
                    double meanY,
                    double widthY)

Fill the histogram with random numbers from fralt distribution. Seed is taken from time. Using mean=0 and width=1 will give a flat distribution between 0 and 1.

Parameters:

TotNumber - number generated events

meanX - mean of the distribution in X

widthX - width of the distribution in X

meanY - mean of the distribution in Y

widthY - width of the distribution in Y

fill

public void fill(int TotNumber,
                 cern.jet.random.AbstractDistribution random1,
                 cern.jet.random.AbstractDistribution random2)

Fill the histogram with random numbers. Random generators are taken from cern.jet.random.*. Examples: Beta, Binominal, Poisson, BreitWigner,ChiSquare,Empirical Exponential, Gamma, Hyperbolic, Logarithmic, Normal, NegativeBinomial

Parameters:

TotNumber - number generated events

random1 - generator for X

random1 - generator for Y

setBinError

public void setBinError(int indexX,
                        int indexY,
                        double error)

Set the error on this bin.

Parameters:

indexX - the bin number (0...N-1) or OVERFLOW or UNDERFLOW.

indexY - the bin number (0...N-1) or OVERFLOW or UNDERFLOW.

error - the error.

binHeight

public double binHeight(int indexX,
                        int indexY)

Total height of the corresponding bin.

Parameters:

indexX - The x bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.

indexY - The y bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.

Returns:

The bin height for the corresponding bin.

extraEntries

public int extraEntries()

Get the number of entries in the underflow and overflow bins.

Returns:

The number of entries outside the range of the Histogram.

sumExtraBinHeights

public double sumExtraBinHeights()

Get the sum of the bin heights for all the entries outside the Histogram's range.

Returns:

The sum of the out of range bin's heights.

sumAllBinHeights

public double sumAllBinHeights()

Get the sum of the bin heights for all the entries, in-range and out-range ones.

Returns:

The sum of all the bin's heights.

getBinsX

public int getBinsX()

Get the number of bins in X

Returns:

binsX number of bins in X

getBinsY

public int getBinsY()

Get the number of bins in Y

Returns:

binsY number of bins in Y

getMinX

public double getMinX()

Get min value of axis in X

Returns:

min value of X axis

getMaxX

public double getMaxX()

Get max value of axis in X

Returns:

max value of X axis

getMaxY

public double getMaxY()

Get max value of Y axis

Returns:

max value of Y axis

getMinY

public double getMinY()

Get min value of Y axis

Returns:

min value of X axis

getUnderflowEntriesY

public int getUnderflowEntriesY()

Get underflow entries in Y

Returns:

underflow in Y

getUnderflowHeightY

public double getUnderflowHeightY()

Get underflow height in Y

Returns:

underflow height in Y

getUnderflowHeightX

public double getUnderflowHeightX()

Get underflow height in X

Returns:

underflow height in X

getUnderflowEntriesX

public int getUnderflowEntriesX()

Get underflow entries in X

Returns:

underflow in X

getOverflowEntriesY

public int getOverflowEntriesY()

Get overflow entries in Y

Returns:

overflow in Y

getOverflowHeightY

public double getOverflowHeightY()

Get overflow height in Y

Returns:

overflow in Y

getOverflowEntriesX

public int getOverflowEntriesX()

Get overflow entries in Y

Returns:

overflow in Y

getOverflowHeightX

public double getOverflowHeightX()

Get overflow entries in Y

Returns:

overflow in Y

getLowerEdgeX

public double getLowerEdgeX(int index)

Get lower edge of the bin in X

Parameters:

index - of the bin

Returns:

lower edge of the bin

oper

public H2D oper(H2D a,
                String title,
                String what)

Various manipulations with histograms (+,-,*,/). Note: no new object will be created.

Parameters:

a - H2D histogram.

title - New Title

Returns:

same H2D object but modified

scale

public void scale(String title,
                  double scaleFactor)

Scale the histogram.

Parameters:

title - New title

scaleFactor - Scale factor

operScale

public H2D operScale(String title,
                     double scaleFactor)

Scale the histogram and return scaled object.

Parameters:

title - New title

scaleFactor - Scale factor

getUpperEdgeX

public double getUpperEdgeX(int index)

Get upper edge of the bin in X

Parameters:

index - of the bin

Returns:

lower edge of the bin

getUpperEdgeY

public double getUpperEdgeY(int index)

Get upper edge of the bin in Y

Parameters:

index - of the bin

Returns:

lower edge of the bin

getLowerEdgeY

public double getLowerEdgeY(int index)

Get lower edge of the bins in Y

Parameters:

index - of the bin

Returns:

lower edge of the bin

getStat

public Map<String,Double> getStat()

Calculate complete statistics for this histogram for the X or Y Unlike other methods (like mean or rms), it performs calculations on the existing histogram, thus the method is somewhat slow. It return mean, error on the mean, RMS, variance, standard deviation.

The key for the output map are: mean, error, rms, variance, stddev etc. Print the keys of this map to get the full access to statistics.

Returns:

map representing histogram statistics

allEntries

public int allEntries()

Get number of all entries

Returns:

Number of all entries

entries

public int entries()

Number of in-range entries in the histogram

Returns:

Number of in-range entries

getAxisX

public hep.aida.IAxis getAxisX()

Get IAxis in X

Returns:

axis in X

getAxisY

public hep.aida.IAxis getAxisY()

Get IAxis in Y

Returns:

axis in Y

clear

public void clear()

binHeights

public double[][] binHeights()

Get bin heights as 2D array. Note 0 index bin means 1st bin etc.

Returns:

bin heights as 2D array

binErrors

public double[][] binErrors()

Get errors on heights as 2D array. Note 0 index bin means 1st bin etc.

Returns:

errors on heights as 2D array

binMeansX

public double[][] binMeansX()

Get mean position for X axis as 2D array. Note 0 index bin means 1st bin etc.

Returns:

X mean positions as 2D array

getLowerEdgesX

public double[] getLowerEdgesX()

Get lower edges for X bins as 1D array. Note 0 index bin means 1st bin etc.

Returns:

lower edges for X positions as 1D array

getLowerEdgesY

public double[] getLowerEdgesY()

Get lower edges for Y bins as 1D array. Note 0 index bin means 1st bin etc.

Returns:

lower edges for Y positions as 1D array

binMeansY

public double[][] binMeansY()

Get mean position for Y axis as 2D array. Note 0 index bin means 1st bin etc.

Returns:

Y mean positions as 2D array

binMeans

public double[] binMeans(int i,
                         int j)

Get bin mean position at the location (i,i)

Parameters:

i - bin position in X

j - bin position in Y

Returns:

bin mean in X and Y (2D array).

copy

public H2D copy(String newtitle)

Get exact copy of the current histogram. This means it makes a new object.

Parameters:

newtitle - New title

Returns:

a new copy of the histogram

getDensity

public H2D getDensity()

Get a density distribution dividing each bin of the histogram by the bin width and the total number of heights for all bins.

Returns:

density distribution

binEntries

public int binEntries(int indexX,
                      int indexY)

Number of entries in the corresponding bin (i.e. the number of times fill was called for this bin).

Parameters:

indexX - the x bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.

indexY - the y bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.

Returns:

The number of entries for the corresponding bin.

binError

public double binError(int indexX,
                       int indexY)

Error of the corresponding bin.

Parameters:

indexX - the x bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.

indexY - the y bin number in the external representation: (0...N-1) or OVERFLOW or UNDERFLOW.

Returns:

errors for the corresponding bin.

fill

public void fill(double value1,
                 double value2,
                 double weight)

Fill H2D histogram with weights

Parameters:

value1 - value in X

value2 - value in Y

weight - weight

fill

public void fill(double[] value1,
                 double[] value2)

Fill H2D histogram from 2 arrays (X amd Y). Assume weights =1.

Parameters:

value1 - array with values in X

value2 - array with values in Y

fill

public void fill(hep.aida.ref.histogram.Cloud2D c2d)

Fill H2D histogram from Cloud2D.

Parameters:

c2d - input Cloud2D array with values in X

fill

public void fill(P0D value1,
                 P0D value2)

Fill H2D histogram from 2 arrays. Assume weights =1.

Parameters:

value1 - array with values in X

value2 - array with values in Y

fill

public void fill(P0I value1,
                 P0I value2)

Fill H2D histogram from 2 arrays. Assume weights =1.

Parameters:

value1 - array with values in X

value2 - array with values in Y

fill

public void fill(double[] value1,
                 double[] value2,
                 double[] weights)

Fill H2D histogram from arrays. Weights are defined by the third array. Sizes of the arrays must be the same.

Parameters:

value1 - array with values in X

value2 - array with values in Y

weights - weights

findBinX

public int findBinX(double x)

Convert a coordinate X on the axis to a bin number

Parameters:

x - coordinate on axis

Returns:

index of the corresponding bin

findBinY

public int findBinY(double y)

Convert a coordinate Y on the axis to a bin number

Parameters:

y - coordinate on axis

Returns:

index of the corresponding bin

integralRange

public double integralRange(double xMin,
                            double xMax,
                            double yMin,
                            double yMax,
                            boolean timesBinWidth)

Integrate histogram in the range. The integral is computed as the sum of bin contents in the range.

Parameters:

xMin - Min value for X integration (included to integration)

xMax - Max index for X integration (included to integration)

yMin - Min index for Y integration (included to integration)

yMax - Max index for Y integration (included to integration)

timesBinWidth - If true, the integral is the sum of the bin contents multiplied by the bin width in x.

Returns:

integral (sum of all heights)

getProbability

public H2D getProbability()

Return q probability distribution derived from a histogram. The histogram is scaled by the sum of all contents.

Returns:

probability distribution

copy

public H2D copy()

Make a copy of the data holder

Returns:

New data holder

scale

public void scale(double scaleFactor)

Scale the histogram.

Parameters:

scaleFactor - Scale factor

integral

public double integral(int BinMinX,
                       int BinMaxX,
                       int BinMinY,
                       int BinMaxY)

Integrate histogram between two indices. The integral is computed as the sum of bin contents in the range.

Parameters:

BinMinX - Min index for X integration (included to integration, start from 1)

BinMaxX - Max index for X integration (included to integration)

BinMinY - Min index for Y integration (included to integration, start from 1)

BinMaxY - Max index for Y integration (included to integration)

Returns:

integral (sum of all heights)

integral

public double integral(int BinMinX,
                       int BinMaxX,
                       int BinMinY,
                       int BinMaxY,
                       boolean timesBinWidth)

Integrate histogram between two indices. The integral is computed as the sum of bin contents in the range if the last parameter is false. If it is true, he integral is the sum of the bin contents multiplied by the bin width in x.

Parameters:

BinMinX - Min index for X integration (included to integration, start from 1)

BinMaxX - Max index for X integration (included to integration)

BinMinY - Min index for Y integration (included to integration, start from 1)

BinMaxY - Max index for Y integration (included to integration)

timesBinWidth - If true, the integral is the sum of the bin contents multiplied by the bin width in x.

Returns:

integral (sum of all heights)

compareChi2

public Map<String,Double> compareChi2(F2D f1)

Compare the histogram with a function. The comparison tests hypotheses that the histogram represent identical distribution with a function using Pearson's chi-squared test. The number chi2/ndf gives the estimate (values close to 1 indicates similarity between 2 histograms.). the function and histogram are identical if chi2=0. Chi2/ndf and p-value probability is 1. Maken sure that statistical errors are included correctly. Data with zero errors will be ignored.

Parameters:

f1 - function to compare to.

Returns:

map with the result. It gives Chi2, gives number of degrees of freedom (ndf), probability ("quality", or p-value).

compareChi2

public Map<String,Double> compareChi2(H2D h2)

Compare two 2D histograms. Comparison of two histograms test hypotheses that two histograms represent identical distributions. It calculates Chi2 between 2 histograms taking into account errors on the heights of the bins. The number chi2/ndf gives the estimate (values close to 1 indicates similarity between 2 histograms.) Two histograms are identical if chi2=0. Chi2/ndf]. Probability (p-value) is 1. Make sure that both histograms have error (or set them to small values).

Parameters:

h2 - second histogram to compare

Returns:

results. It gives Chi2, the number of degrees of freedom (ndf), and probability ("quality", or p-value).

doc

public void doc()

Show online documentation.