public sealed class KruskalWallisTest : MultiSampleTest<double>

Public NotInheritable Class KruskalWallisTest
	Inherits MultiSampleTest(Of Double)

public ref class KruskalWallisTest sealed : public MultiSampleTest<double>

[<SealedAttribute>]
type KruskalWallisTest =  
    class
        inherit MultiSampleTest<float>
    end

The KruskalWallisTest type exposes the following members.

	Name	Description
	KruskalWallisTest	Constructs a new KruskalWallisTest.
	KruskalWallisTest(IDataFrame)	Constructs a new KruskalWallisTest for the samples in a data frame.
	KruskalWallisTest(NumericalVariable)	Constructs a new KruskalWallisTest for the specified NumericalVariable array.
	KruskalWallisTest(VariableCollection)	Constructs a new KruskalWallisTest for the samples in a VariableCollection.
	KruskalWallisTest(VectorDouble)	Constructs a new KruskalWallisTest for the specified VectorT array.
	KruskalWallisTest(NumericalVariable, CategoricalVariable)	Constructs a new KruskalWallisTest for observations grouped by the specified grouping variable.
	KruskalWallisTest(VectorDouble, ICategoricalVector)	Constructs a new KruskalWallisTest for observations grouped by the specified grouping variable.

	Name	Description
	ChiSquarePValue	Gets the probability that the test statistic would take on the calculated value under the null hypothesis assuming the distribution of the statistic is approximated by a chi-square distribution.
	CorrectForTies	Gets or sets whether the Kruskal-Wallis statistic should be corrected for ties.
	Distribution	Gets the probability distribution used in the hypothesis test. (Inherited from HypothesisTest.)
	Grouping	Gets the grouping that divides Sample into groups. (Inherited from MultiSampleTestT.)
	HypothesisType	Gets or sets whether the test is one or two-tailed. (Inherited from HypothesisTest.)
	Name	Gets the name of the hypothesis test. (Inherited from HypothesisTest.)
	PValue	Gets the probability that the test statistic would take on the calculated value under the alternate hypothesis. (Inherited from HypothesisTest.)
	Sample	Gets the vector that contains the sample data. (Inherited from MultiSampleTestT.)
	Samples	Gets the collection of samples for the test. (Inherited from MultiSampleTestT.)
	Samples	Gets the collection of samples for the test. (Inherited from MultiSampleTest.)
	SignificanceLevel	Gets the significance level used to test the null hypothesis. (Inherited from HypothesisTest.)
	Statistic	Gets the value of the test statistic. (Inherited from HypothesisTest.)

	Name	Description
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	GetConfidenceInterval	Returns the confidence interval for the test parameter for the default confidence level. (Inherited from HypothesisTest.)
	GetConfidenceInterval(Double)	Returns the confidence interval for the test parameter for the specified confidence level. (Inherited from HypothesisTest.)
	GetCount	Returns the number of observations in the specified group.
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetLowerCriticalValue	Gets the lower critical value for the hypothesis test's current significance level. (Inherited from HypothesisTest.)
	GetLowerCriticalValue(Double)	Gets the lower critical value for the hypothesis test at the specified significance level. (Inherited from HypothesisTest.)
	GetMeanRank	Returns the mean of the ranks of the observations from the specified group.
	GetPValue	Gets the probability that the test statistic would take on the calculated value under the specified alternate hypothesis. (Inherited from HypothesisTest.)
	GetSumOfRanks	Returns the sum of the ranks of the observations from the specified group.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetUpperCriticalValue	Gets the upper critical value for the test statistic at the hypothesis test's current significance level. (Inherited from HypothesisTest.)
	GetUpperCriticalValue(Double)	Gets the upper critical value for the test statistic at the specified significance level. (Inherited from HypothesisTest.)
	Reject	Returns whether the null hypothesis is rejected using the default significance level. (Inherited from HypothesisTest.)
	Reject(Double)	Returns whether the null hypothesis is rejected using the specified significance level. (Inherited from HypothesisTest.)
	Summarize	Returns a string containing a human-readable summary of the object. (Inherited from HypothesisTest.)
	Summarize(SummaryOptions)	Returns a string containing a human-readable summary of the object using the specified options. (Inherited from HypothesisTest.)
	ToString	Returns a string that represents the current object. (Inherited from HypothesisTest.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

Use the KruskalWallisTest class to test whether a number of samples come from the same population. This test can be thought of as a non-parametric variation of one-way analysis of variance that doesn't assume the data is normally distributed.

This class approximates the distribution of the test statistic by a beta distribution. This approximation has been found to be more accurate than the traditional chi-square approximation. Still, for small sample sizes, critical values and tail probabilities may differ significantly from their exact values.

Numerical Libraries

Reference