KruskalWallisTest
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org.statcato.statistics.inferential.nonparametrics
Class KruskalWallisTest
java.lang.Object
org.statcato.statistics.inferential.nonparametrics.KruskalWallisTest
public class KruskalWallisTestextends java.lang.Object
Kruskal-Wallis test. A nonparametic test that uses ranks of
samples from three or more independent populations to
to test the null hypothesis that the independent samples come from population
with the same distribution.
The independent samples are combined into one sample, are sorted in
ascending order and are ranked based on its place in the one sample.
The sum of the ranks corresponding to each of the samples are computed
and is used in calculating the test statistics H. The Chi-square
distribution is used for approximation.
Since:
1.0
Version:
%I%, %G%
Author:
Margaret Yau
Field Summary
double
significance
Significance of the test
Constructor Summary
KruskalWallisTest(java.util.Vector<java.util.Vector<java.lang.Double>> data,
double significance)
Constructor, given samples of data values.
Method Summary
void
computeRankSum(java.util.Vector<java.util.Vector<java.lang.Double>> data)
Computes the sum of ranks for each sample.
double
criticalValue()
Returns the one-tailed critical value.
int
DOF()
Returns the degrees of freedom.
double
pValue()
Returns the p-value.
double
testStatistic()
Returns the test statistic H = 12 / [N(N+1)] Sum_i (R_i^2/n_i) - 3(N+1).
java.lang.String
toString()
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait
Field Detail
significance
public double significance
Significance of the test
Constructor Detail
KruskalWallisTest
public KruskalWallisTest(java.util.Vector<java.util.Vector<java.lang.Double>> data,
double significance)
Constructor, given samples of data values.
Parameters:data - a vector of vector of double values, with each
vector of double values representing an independent samplesignificance - significance level (between 0 and 1)
Method Detail
testStatistic
public double testStatistic()
Returns the test statistic H = 12 / [N(N+1)] Sum_i (R_i^2/n_i) - 3(N+1).
Returns:test statistic H
DOF
public int DOF()
Returns the degrees of freedom.
Returns:degrees of freedom
pValue
public double pValue()
Returns the p-value.
Returns:p-value
criticalValue
public double criticalValue()
Returns the one-tailed critical value.
Returns:critical value
toString
public java.lang.String toString()
Overrides:toString in class java.lang.Object
computeRankSum
public void computeRankSum(java.util.Vector<java.util.Vector<java.lang.Double>> data)
Computes the sum of ranks for each sample. Assigns the appropriate
rank sum to the private array R[].
Ranks are computed after all samples are combined and sorted in
ascending order.
Parameters:data - vector of Double values
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