SoftwareFX.ChartFX.Statistical
Class Distributions

java.lang.Object
  SoftwareFX.ChartFX.Statistical.Distributions

public final class Distributions
extends java.lang.Object

Provides access to the Distributions object.

Distributions are a way of representing the frequency of occurrence of values of a random variable. The Distributions class supported members provide a mechanism to perform a myriad of statistical distributions on chart data.

Constructor Summary

Distributions()

Method Summary

double	beta(double a, double b) Used to find the Beta Distribution.
double	chiSquare(double x, int v) Used to find the Chi-Square Distribution.
double	cumulativeChiSquare(double x, int v) Used to find the Cumulative Chi-Square Distribution.
double	cumulativeF(double f, int v1, int v2) Used to find the Cumulative F Distribution.
double	cumulativeNormal(double x) Used to find the Cumulative Normal Distribution.
double	cumulativeT(double t, int v) Used to find the Cumulative T Distribution.
double	f(double x, int v1, int v2) Used to find the F Distribution.
double	gammaLn(double x) Used to find the gamma Distribution.
double	inverseCumulativeChiSquare(double p, int v) Used to find the Inverse Cumulative Chi-Square Distribution.
double	inverseCumulativeF(double p, int v1, int v2) Used to find the Inverse Cumulative F Distribution.
double	inverseCumulativeNormal(double p) Used to find the Inverse Cumulative Normal Distribution.
double	inverseCumulativeT(double p, int v) Used to find the Inverse Cummulative T Distribution.
double	normal(double x) Used to find the Normal Distribution.
double	t(double x, int v) Used to find the T Distribution.

Methods inherited from class java.lang.Object

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

Constructor Detail

Distributions

public Distributions()

Method Detail

beta

public double beta(double a,
                   double b)

Used to find the Beta Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.beta(8.14,19.76);

The Beta Distribution is a general type of statistical distribution which is related to the gammaLn(double) distribution.

Parameters:

a - Alpha parameter.

b - Beta parameter.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int)

chiSquare

public double chiSquare(double x,
                        int v)

Used to find the Chi-Square Distribution.

Remarks:

The Chi Square distribution is a mathematical distribution that is used directly or indirectly in many tests of significance. The most common use of the chi square distribution is to test differences between proportions.

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double result = Distributions.chiSquare(.99,2,4.34);

Parameters:

x - X axis value to use for calculation.

v - Degrees of freedom.

See Also:

cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

cumulativeChiSquare

public double cumulativeChiSquare(double x,
                                  int v)

Used to find the Cumulative Chi-Square Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.cumulativeChiSquare(.95,3);

Parameters:

x - X axis value to use for calculation.

v - Degrees of freedom.

See Also:

chiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

cumulativeF

public double cumulativeF(double f,
                          int v1,
                          int v2)

Used to find the Cumulative F Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.cumulativeF(.75,2,4,.99);

Parameters:

f - The value for the F distiribution that provides an area or probability of a value to the right of the stated f value.

v1 - Degrees of freedom for the numerator.

v2 - Degrees of freedom for the denominator.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

cumulativeNormal

public double cumulativeNormal(double x)

Used to find the Cumulative Normal Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.cumulativeNormal(4.25);

Parameters:

x - X axis value to use for calculation.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

cumulativeT

public double cumulativeT(double t,
                          int v)

Used to find the Cumulative T Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.cumulativeT(5.55,2,3.99);

Parameters:

t - X axis value to use for calculation.

v - Degrees of freedom.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

f

public double f(double x,
                int v1,
                int v2)

Used to find the F Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.f(8.14,8,3,1.69);

Parameters:

x - X axis value to use for calculation.

v1 - Degrees of freedom for the numerator.

v2 - Degrees of freedom for the denominator.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

gammaLn

public double gammaLn(double x)

Used to find the gamma Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.gammaLn(8.14);

Parameters:

x - X axis value to use for calculation.

See Also:

beta(double, double), chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int)

inverseCumulativeChiSquare

public double inverseCumulativeChiSquare(double p,
                                         int v)

Used to find the Inverse Cumulative Chi-Square Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.nnverseCummulativeChiSquare(.90,1,.97);

Parameters:

p - Inverse cumulative probability.

v - Degrees of freedom.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

inverseCumulativeF

public double inverseCumulativeF(double p,
                                 int v1,
                                 int v2)

Used to find the Inverse Cumulative F Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.inverseCumulativeF(.5,2,5,4.1);

Parameters:

p - Inverse cumulative probability.

v1 - Degrees of freedom for the numerator.

v2 - Degrees of freedom for the denominator.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

inverseCumulativeNormal

public double inverseCumulativeNormal(double p)

Used to find the Inverse Cumulative Normal Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.inverseCummulativeNormal(.90);

Parameters:

p - Inverse cumulative probability.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeT(double, int), normal(double), t(double, int), Distributions

inverseCumulativeT

public double inverseCumulativeT(double p,
                                 int v)

Used to find the Inverse Cummulative T Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.nnverseCummulativeT(.98,3,3.44);

Parameters:

p - Inverse cumulative probability.

v - Degrees of freedom.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), normal(double), t(double, int)

normal

public double normal(double x)

Used to find the Normal Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.normal(15.5);

Parameters:

x - X axis value to use for calculation.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), t(double, int), Distributions

t

public double t(double x,
                int v)

Used to find the T Distribution.

Remarks:

This method is part of the static Distributions class. To property access this method, you must access the Distributions class directly:

double results = Distributions.t(.90, 3, 34.5);

Parameters:

x - X axis value to use for calculation.

v - Degrees of freedom.

See Also:

chiSquare(double, int), cumulativeChiSquare(double, int), cumulativeF(double, int, int), cumulativeNormal(double), cumulativeT(double, int), f(double, int, int), gammaLn(double), inverseCumulativeChiSquare(double, int), inverseCumulativeF(double, int, int), inverseCumulativeNormal(double), inverseCumulativeT(double, int), normal(double)