RunsTest<T> Class

Represents the runs test of randomness.

Definition

Namespace: Extreme.Statistics.Tests
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C#
public sealed class RunsTest<T> : OneSampleTest<T>
Inheritance
Object  →  HypothesisTest  →  OneSampleTest<T>  →  RunsTest<T>

Type Parameters

T
The element type of the sample.

Remarks

Use the RunsTest<T> class to test whether the elements of a sample are randomly distributed. Specifically, the test counts the number of sequences ("runs") of values that are larger or smaller than a specific value, and compares it to the expected number of runs for a random sequence.

For example, the residuals of a regression calculation should be randomly distributed around zero. If the fitted line or curve is not a good model for the data, then the residuals will tend to show long runs of positive or negative values. The runs test can detect this pattern.

The distribution of the number of runs is approximately normal. For small sample sizes (less than 50) a continuity correction is applied.

The runs test is sometimes called the Wald-Wolfowitz test.

Constructors

RunsTest<T>(CategoricalVector<T>) Constructs a new runs test for a categorical variable.
RunsTest<T>(Vector<T>) Constructs a new runs test for a numerical variable.
RunsTest<T>(Vector<T>, T) Constructs a new runs test for a numerical variable and a specific cut point.

Properties

Distribution Gets the probability distribution used in the hypothesis test.
(Inherited from HypothesisTest)
HypothesisType Gets or sets whether the test is one or two-tailed.
(Inherited from HypothesisTest)
Name Gets the name of the hypothesis test.
(Overrides HypothesisTest.Name)
PValue Gets the probability that the test statistic would take on the calculated value under the alternate hypothesis.
(Inherited from HypothesisTest)
Runs Gets the number of runs.
RunsExpected Gets the expected number of runs.
Sample Gets or sets the variable the test is to be applied to.
(Inherited from OneSampleTest<T>)
SignificanceLevel Gets the significance level used to test the null hypothesis.
(Inherited from HypothesisTest)
Statistic Gets the value of the test statistic.
(Inherited from HypothesisTest)

Methods

EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
GetConfidenceInterval() Returns the confidence interval for the test parameter for the default confidence level.
(Inherited from HypothesisTest)
GetConfidenceInterval(Double) Returns the confidence interval for the test parameter for the specified confidence level.
(Inherited from HypothesisTest)
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetLowerCriticalValue() Gets the lower critical value for the hypothesis test's current significance level.
(Inherited from HypothesisTest)
GetLowerCriticalValue(Double) Gets the lower critical value for the hypothesis test at the specified significance level.
(Inherited from HypothesisTest)
GetPValue Gets the probability that the test statistic would take on the calculated value under the specified alternate hypothesis.
(Inherited from HypothesisTest)
GetTypeGets the Type of the current instance.
(Inherited from Object)
GetUpperCriticalValue() Gets the upper critical value for the test statistic at the hypothesis test's current significance level.
(Inherited from HypothesisTest)
GetUpperCriticalValue(Double) Gets the upper critical value for the test statistic at the specified significance level.
(Inherited from HypothesisTest)
Reject() Returns whether the null hypothesis is rejected using the default significance level.
(Inherited from HypothesisTest)
Reject(Double) Returns whether the null hypothesis is rejected using the specified significance level.
(Inherited from HypothesisTest)
Summarize() Returns a string containing a human-readable summary of the object.
(Inherited from HypothesisTest)
Summarize(SummaryOptions) Returns a string containing a human-readable summary of the object using the specified options.
(Inherited from OneSampleTest<T>)
ToStringReturns a string that represents the current object.
(Inherited from HypothesisTest)

See Also