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UnivariateKuiperTest Method

Tests whether the sample is compatible with the given distribution.

Namespace:  Meta.Numerics.Statistics
Assembly:  Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
Syntax
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public static TestResult KuiperTest(
	this IReadOnlyList<double> sample,
	ContinuousDistribution distribution
)

Parameters

sample
Type: System.Collections.GenericIReadOnlyListDouble
The sample.
distribution
Type: Meta.Numerics.Statistics.DistributionsContinuousDistribution
The distribution.

Return Value

Type: TestResult
The test result. The test statistic is the V statistic and the chance to obtain such a large value of V under the assumption that the sample is drawn from the given distribution.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type IReadOnlyListDouble. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).
Exceptions
ExceptionCondition
ArgumentNullExceptiondistribution is .
InsufficientDataExceptionThere is no data in the sample.
Remarks

Like the Kolmogorov-Smirnov test (KolmogorovSmirnovTest(IReadOnlyListDouble, ContinuousDistribution)), Kuiper's test compares the EDF of the sample to the CDF of the given distribution.

For small sample sizes, we compute the null distribution of V exactly. For large sample sizes, we use an accurate asymptotic approximation. Therefore it is safe to use this method for all sample sizes.

See Also