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Showing content from http://accord-framework.net/docs/html/T_Accord_Statistics_Testing_BinomialTest.htm below:

BinomialTest Class

Binomial test.

Inheritance Hierarchy Namespace:  Accord.Statistics.Testing
Assembly:

Accord.Statistics (in Accord.Statistics.dll) Version: 3.8.0

Syntax 
[SerializableAttribute]
public class BinomialTest : HypothesisTest<BinomialDistribution>
<SerializableAttribute>
Public Class BinomialTest
	Inherits HypothesisTest(Of BinomialDistribution)
Request Example View Source

The BinomialTest type exposes the following members.

Constructors Properties Methods Extension Methods   Name Description HasMethod

Checks whether an object implements a method with the given name.

(Defined by ExtensionMethods.) IsEqual

Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.

(Defined by Matrix.) To(Type) Overloaded.

Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.

(Defined by ExtensionMethods.) ToT Overloaded.

Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.

(Defined by ExtensionMethods.) Top Remarks

In statistics, the binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations into two categories. The most common use of the binomial test is in the case where the null hypothesis is that two categories are equally likely to occur (such as a coin toss).

When there are more than two categories, and an exact test is required, the multinomial test, based on the multinomial distribution, must be used instead of the binomial test.

References:

Examples

This is the second example from Wikipedia's page on hypothesis testing. In this example, a person is tested for clairvoyance (ability of gaining information about something through extra sensory perception; detecting something without using the known human senses.












BinomialTest test = new BinomialTest(
    successes: 13, trials: 25,
    hypothesizedProbability: 1.0 / 4.0,
    alternate: OneSampleHypothesis.ValueIsGreaterThanHypothesis);

Console.WriteLine("Test p-Value: " + test.PValue);     
Console.WriteLine("Significant? " + test.Significant);
See Also

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