HypothesisTests.GoodnessOfFitTest Method

Definition

Namespace: Extreme.Statistics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

GoodnessOfFitTest(Histogram<Double>, ContinuousDistribution, Int32)Returns a ChiSquareGoodnessOfFitTest object to test if the distribution follows the specified distribution.
GoodnessOfFitTest(Histogram<Int32>, DiscreteDistribution, Int32)Returns a ChiSquareGoodnessOfFitTest object to test if the distribution follows the specified distribution.
GoodnessOfFitTest<T>(Histogram<T>, Histogram<T>)Returns a ChiSquareGoodnessOfFitTest object to test if the distribution follows the specified distribution specified as a histogram.

GoodnessOfFitTest<T>(Histogram<T>, Histogram<T>)

Returns a ChiSquareGoodnessOfFitTest object to test if the distribution follows the specified distribution specified as a histogram.
C# 
public static ChiSquareGoodnessOfFitTest GoodnessOfFitTest<T>(
	this Histogram<T> actual,
	Histogram<T> expected
)

Parameters

actual  Histogram<T>
The histogram for which to return the goodness-of-fit test.
expected  Histogram<T>
A Histogram<T> that specifies the expected distribution.

Type Parameters

T

Return Value

ChiSquareGoodnessOfFitTest
A ChiSquareGoodnessOfFitTest object.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Histogram<T>. 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).

Remarks

Use this method to construct a test for how well the histogram fits another histogram. expected must have the same boundaries as the current instance. The method returns a ChiSquareGoodnessOfFitTest object.

GoodnessOfFitTest(Histogram<Double>, ContinuousDistribution, Int32)

Returns a ChiSquareGoodnessOfFitTest object to test if the distribution follows the specified distribution.
C# 
public static ChiSquareGoodnessOfFitTest GoodnessOfFitTest(
	this Histogram<double> histogram,
	ContinuousDistribution distribution,
	int numberOfEstimatedParameters
)

Parameters

histogram  Histogram<Double>
The histogram for which to return the goodness-of-fit test.
distribution  ContinuousDistribution
A Distribution object that represents the distribution that is to be compared.
numberOfEstimatedParameters  Int32
The number of parameters of distribution that were estimated from the sample.

Return Value

ChiSquareGoodnessOfFitTest
A ChiSquareGoodnessOfFitTest object.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Histogram<Double>. 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).

Remarks

Use this method to construct a test for how well the histogram fits a given distribution. The method returns a ChiSquareGoodnessOfFitTest object.

The distribution can be discrete or continuous. A histogram with the same boundaries as the original is automatically created to perform the test.

The numberOfEstimatedParameters specifies how many distribution parameters were estimated from the data. The degrees of freedom of the data is decreased accordingly.

GoodnessOfFitTest(Histogram<Int32>, DiscreteDistribution, Int32)

Returns a ChiSquareGoodnessOfFitTest object to test if the distribution follows the specified distribution.
C# 
public static ChiSquareGoodnessOfFitTest GoodnessOfFitTest(
	this Histogram<int> histogram,
	DiscreteDistribution distribution,
	int numberOfEstimatedParameters
)

Parameters

histogram  Histogram<Int32>
The histogram for which to return the goodness-of-fit test.
distribution  DiscreteDistribution
A Distribution object that represents the distribution that is to be compared.
numberOfEstimatedParameters  Int32
The number of parameters of distribution that were estimated from the sample.

Return Value

ChiSquareGoodnessOfFitTest
A ChiSquareGoodnessOfFitTest object.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Histogram<Int32>. 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).

Remarks

Use this method to construct a test for how well the histogram fits a given distribution. The method returns a ChiSquareGoodnessOfFitTest object.

The distribution can be discrete or continuous. A histogram with the same boundaries as the original is automatically created to perform the test.

The numberOfEstimatedParameters specifies how many distribution parameters were estimated from the data. The degrees of freedom of the data is decreased accordingly.

See Also