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  • Extreme.Statistics.Tests
    • AndersonDarlingDistribution Class
    • AndersonDarlingTest Class
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    • MultiSampleTest(T) Class
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    • OneSampleKolmogorovSmirnovTest Class
    • OneSampleTest Class
    • OneSampleTest(T) Class
    • OneSampleTTest Class
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    • OneSampleZTestOfProportion Class
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    • SamplePairing Enumeration
    • ShapiroWilkTest Class
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    • StuartMaxwellTest Class
    • StudentizedRangeDistribution Class
    • TwoSampleKolmogorovSmirnovTest Class
    • TwoSampleTest Class
    • TwoSampleTest(T) Class
    • TwoSampleTTest Class
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  • ShapiroWilkTest Class
    • ShapiroWilkTest Constructor
    • Properties
    • ShapiroWilkTest Methods

ShapiroWilkTest Class

Extreme Optimization Numerical Libraries for .NET Professional
Represents the Shapiro-Wilk test that a sample is normally distributed.
Inheritance Hierarchy

SystemObject
  Extreme.Statistics.TestsHypothesisTest
    Extreme.Statistics.TestsOneSampleTestDouble
      Extreme.Statistics.TestsOneSampleTest
        Extreme.Statistics.TestsShapiroWilkTest

Namespace:  Extreme.Statistics.Tests
Assembly:  Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1
Syntax

C#
VB
C++
F#
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public sealed class ShapiroWilkTest : OneSampleTest
Public NotInheritable Class ShapiroWilkTest
	Inherits OneSampleTest
public ref class ShapiroWilkTest sealed : public OneSampleTest
[<SealedAttribute>]
type ShapiroWilkTest =  
    class
        inherit OneSampleTest
    end

The ShapiroWilkTest type exposes the following members.

Constructors

  NameDescription
Public methodShapiroWilkTest
Constructs a new Shapiro-Wilk test.
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Properties

  NameDescription
Public propertyDistribution
Gets the probability distribution used in the hypothesis test.
(Inherited from HypothesisTest.)
Public propertyHypothesisType
Gets or sets whether the test is one or two-tailed.
(Inherited from HypothesisTest.)
Public propertyName
Gets the name of the hypothesis test.
(Overrides HypothesisTestName.)
Public propertyPValue
Gets the probability that the test statistic would take on the calculated value under the alternate hypothesis.
(Inherited from HypothesisTest.)
Public propertySample
Gets or sets the variable the test is to be applied to.
(Inherited from OneSampleTestT.)
Public propertySignificanceLevel
Gets the significance level used to test the null hypothesis.
(Inherited from HypothesisTest.)
Public propertyStatistic
Gets the value of the test statistic.
(Inherited from HypothesisTest.)
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Methods

  NameDescription
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Public methodGetConfidenceInterval
Returns the confidence interval for the test parameter for the default confidence level.
(Inherited from HypothesisTest.)
Public methodGetConfidenceInterval(Double)
Returns the confidence interval for the test parameter for the specified confidence level.
(Inherited from HypothesisTest.)
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetLowerCriticalValue
Gets the lower critical value for the hypothesis test's current significance level.
(Inherited from HypothesisTest.)
Public methodGetLowerCriticalValue(Double)
Gets the lower critical value for the hypothesis test at the specified significance level.
(Inherited from HypothesisTest.)
Public methodGetPValue
Gets the probability that the test statistic would take on the calculated value under the specified alternate hypothesis.
(Inherited from HypothesisTest.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodGetUpperCriticalValue
Gets the upper critical value for the test statistic at the hypothesis test's current significance level.
(Inherited from HypothesisTest.)
Public methodGetUpperCriticalValue(Double)
Gets the upper critical value for the test statistic at the specified significance level.
(Inherited from HypothesisTest.)
Public methodReject
Returns whether the null hypothesis is rejected using the default significance level.
(Inherited from HypothesisTest.)
Public methodReject(Double)
Returns whether the null hypothesis is rejected using the specified significance level.
(Inherited from HypothesisTest.)
Public methodSummarize
Returns a string containing a human-readable summary of the object.
(Inherited from HypothesisTest.)
Public methodSummarize(SummaryOptions)
Returns a string containing a human-readable summary of the object using the specified options.
(Inherited from OneSampleTestT.)
Public methodToString
Returns a string that represents the current object.
(Inherited from HypothesisTest.)
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Remarks

Use the ShapiroWilkTest class to test whether a sample comes from a normal distribution. A small p value indicates that it is unlikely that the sample comes from a normal distribution.

The Shapiro-Wilk test is generally considered more reliable than the Anderson-Darling or Kolmogorov-Smirnov test. It is valid for sample sizes between 3 and 5000.

See Also

Reference

Extreme.Statistics.Tests Namespace
Extreme.Statistics.TestsOneSampleKolmogorovSmirnovTest
Extreme.Statistics.TestsAndersonDarlingTest

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