ShapiroWilkTest Class

Class ShapiroWilkTest tests the null hypothesis that the sample comes from a normally distributed population.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreShapiroWilkTest

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

Copy

[SerializableAttribute]
public class ShapiroWilkTest : ICloneable

<SerializableAttribute>
Public Class ShapiroWilkTest
	Implements ICloneable

[SerializableAttribute]
public ref class ShapiroWilkTest : ICloneable

[<SerializableAttribute>]
type ShapiroWilkTest = 
    class
        interface ICloneable
    end

The ShapiroWilkTest type exposes the following members.

Constructors

	Name	Description
	ShapiroWilkTest(Double)	Constructs a ShapiroWilkTest intance with the provided sample data, default alpha and default hypothesis type.
	ShapiroWilkTest(DoubleVector)	Constructs a ShapiroWilkTest intance with the provided sample data, default alpha and default hypothesis type.
	ShapiroWilkTest(IDFColumn)	Constructs a ShapiroWilkTest intance with the provided sample data, default alpha and default hypothesis type.
	ShapiroWilkTest(Int32)	Constructs a ShapiroWilkTest intance with the provided sample data, default alpha and default hypothesis type.
	ShapiroWilkTest(Double, HypothesisType)	Constructs a ShapiroWilkTest intance with the provided sample, provided hypothesis type and default alpha.
	ShapiroWilkTest(Double, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and default hypothesis type.
	ShapiroWilkTest(DoubleVector, HypothesisType)	Constructs a ShapiroWilkTest intance with the provided sample, provided hypothesis type and default alpha.
	ShapiroWilkTest(DoubleVector, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and default hypothesis type.
	ShapiroWilkTest(IDFColumn, HypothesisType)	Constructs a ShapiroWilkTest intance with the provided sample, provided hypothesis type and default alpha.
	ShapiroWilkTest(IDFColumn, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and default hypothesis type.
	ShapiroWilkTest(Int32, HypothesisType)	Constructs a ShapiroWilkTest intance with the provided sample, provided hypothesis type and default alpha.
	ShapiroWilkTest(Int32, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and default hypothesis type.
	ShapiroWilkTest(Double, HypothesisType, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and hypothesis type.
	ShapiroWilkTest(DoubleVector, HypothesisType, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and hypothesis type.
	ShapiroWilkTest(IDFColumn, HypothesisType, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and hypothesis type.
	ShapiroWilkTest(Int32, HypothesisType, Double)	Constructs a ShapiroWilkTest intance with the provided sample, alpha and hypothesis type.

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Properties

	Name	Description
	Alpha	Gets and sets the alpha level associated with this hypothesis test.
	Data	Data used to calculate the Shapiro Wilk test statistic. The data is modified for calculation by removing NaNs and sorting.
	DefaultAlpha	Gets and sets the default alpha level associated with the PearsonChiSquareTest. Used to determine whether or not to reject the null hypothesis.
	DefaultType	Gets and sets the default alpha level associated with the PearsonChiSquareTest. Used to determine whether or not to reject the null hypothesis.
	N	Gets the sample size.
	P	Gets the p-value associated with the test statistic.
	Reject	Returns true if the null hypothesis can be rejected, using the current hypothesis type and alpha level; otherwise, false.
	S	Gets the sample standard deviation.
	Statistic	Shapiro Wilk Test statistic, generally referred to as W
	Type	Hypothesis type
	Xbar	Sample mean

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Methods

	Name	Description
	CalculateSWStatistic	Calculates the Shapiro-Wilk statistic.
	Clone	Creates a deep copy of this ShapiroWilkTest.
	ToString	Returns a formatted string representation of the test results. (Overrides ObjectToString)
	Update(Double)	Updates the test statistic with new sample data.
	Update(DoubleVector)	Updates the test statistic with new sample data.
	Update(IDFColumn)	Updates the test statistic with new sample data.
	Update(Int32)	Updates the test statistic with new sample data.

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Remarks

ShapiroWilkTest comes from Shapiro, S. S.; Wilk, M. B. (1965). "An analysis of variance test for normality (complete samples)". Biometrika 52 (3-4): 591–611. Implementation based on Royson R94. The sample data provided must be of size between 3 and 5000. If the size becomes too large, then the test begins to perform poorly.

Reference

CenterSpace.NMath.Core Namespace