UnivariateSignTest Method

public static TestResult SignTest(
	this IReadOnlyCollection<double> sample,
	double referenceMedian
)

<ExtensionAttribute>
Public Shared Function SignTest ( 
	sample As IReadOnlyCollection(Of Double),
	referenceMedian As Double
) As TestResult

public:
[ExtensionAttribute]
static TestResult^ SignTest(
	IReadOnlyCollection<double>^ sample, 
	double referenceMedian
)

[<ExtensionAttribute>]
static member SignTest : 
        sample : IReadOnlyCollection<float> * 
        referenceMedian : float -> TestResult 

Parameters

sample  IReadOnlyCollectionDouble

The sample.

referenceMedian  Double

The reference median.

Return Value

Usage Note

The sign test is a non-parametric alternative to the Student t-test (StudentTTest(IReadOnlyCollectionDouble, Double)). It tests whether the sample is consistent with the given reference median.

The null hypothesis for the test is that the median of the underlying population from which the sample is drawn is the reference median. The test statistic is simply number of sample values that lie above the median. Since each sample value is equally likely to be below or above the population median, each draw is an independent Bernoulli trial, and the total number of values above the population median is distributed according to a binomial distribution (BinomialDistribution).

Reference