org.statcato.statistics.inferential

Class OneWayANOVA

java.lang.Object

org.statcato.statistics.inferential.OneWayANOVA

public class OneWayANOVA
extends java.lang.Object

One-way analysis of variance (single factor ANOVA).

Since:

1.0

Constructor Summary

Constructors

Constructor and Description
OneWayANOVA(java.util.Vector<java.util.Vector<java.lang.Double>> Samples) Constructor.

Method Summary

Modifier and Type	Method and Description
double	CriticalValue(double significance) Returns the critical value corresponding to the given significance.
int	DOFError() Returns the denominator degrees of freedom (N - k).
int	DOFTotal() Returns the total degrees of freedom.
int	DOFTreatment() Returns the numerator degrees of freedom (k - 1).
double	GrandMean() Returns the grand mean (mean of all the treatment sample means).
double	MSError() Returns MS(error), the mean of squares of errors.
double	MSTreatment() Returns MS(treatment), the mean of squares of treatment.
double	PValue() Returns the p-Value corresponding to the test statistic.
double	SSError() Returns SS(error), the sum of squares of means.
double	SSTotal() Returns the total sum of squares SS(treatment) + SS(error).
double	SSTreatment() Returns SS(treatment), sum of squares of treatments.
double	TestStatisticsF() Returns the test statistics F = MS(treatment) / MS(error).

Methods inherited from class java.lang.Object

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

Constructor Detail

OneWayANOVA

public OneWayANOVA(java.util.Vector<java.util.Vector<java.lang.Double>> Samples)

Constructor. The samples are given as a vector of vector of double, each vector contains values of a treatment sample.

Parameters:

Samples -

Method Detail

GrandMean

public double GrandMean()

Returns the grand mean (mean of all the treatment sample means).

Returns:

grand mean

SSTreatment

public double SSTreatment()

Returns SS(treatment), sum of squares of treatments.

Returns:

SS(treatment)

MSTreatment

public double MSTreatment()

Returns MS(treatment), the mean of squares of treatment.

Returns:

MS(treatment)

SSError

public double SSError()

Returns SS(error), the sum of squares of means.

Returns:

SS(error)

MSError

public double MSError()

Returns MS(error), the mean of squares of errors.

Returns:

MS(error)

SSTotal

public double SSTotal()

Returns the total sum of squares SS(treatment) + SS(error).

Returns:

SS(treatment) + SS(error)

TestStatisticsF

public double TestStatisticsF()

Returns the test statistics F = MS(treatment) / MS(error).

Returns:

F

DOFTreatment

public int DOFTreatment()

Returns the numerator degrees of freedom (k - 1).

Returns:

degrees of freedom 1

DOFError

public int DOFError()

Returns the denominator degrees of freedom (N - k).

Returns:

degrees of freedom 2

DOFTotal

public int DOFTotal()

Returns the total degrees of freedom.

Returns:

DOF1 + DOF2

CriticalValue

public double CriticalValue(double significance)

Returns the critical value corresponding to the given significance.

Parameters:

significance -

Returns:

critical value (positive)

PValue

public double PValue()

Returns the p-Value corresponding to the test statistic.

Returns:

p-Value