AugmentedDickeyFullerTest Class

Represents an Augmented Dickey-Fuller (ADF) test for the presence of a unit root.

Definition

Namespace: Extreme.Statistics.TimeSeriesAnalysis
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C#
public class AugmentedDickeyFullerTest : OneSampleTest<double>
Inheritance
Object  →  HypothesisTest  →  OneSampleTest<Double>  →  AugmentedDickeyFullerTest

Remarks

Use the AugmentedDickeyFullerTest class to test whether a time series has a unit root. The null hypothesis is that the series has a unit root. The alternative hypothesis is that the series is stationary or trend-stationary.

The test is based on a regression of a time series model that may include a constant term (for drift) and a trend term. By default, both drift and trend are included. This can be modified by setting the Type property.

The number of lag terms can be specified using the Order property. A value of 0 corresponds to the original Dickey-Fuller test. When the order is less than 0, the order is computed as the cube root of the sample size.

Constructors

AugmentedDickeyFullerTest Constructs a new Augmented Dickey-Fuller test object.

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)
Order Gets or sets the number of lag terms to include in the regression model.
PValue Gets the probability that the test statistic would take on the calculated value under the alternate hypothesis.
(Inherited from HypothesisTest)
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)
Type Specifies the type of regression used in the Dickey-Fuller Test.

Methods

CalculateStatistic Evaluates the test statistic.
(Overrides HypothesisTest.CalculateStatistic())
EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
FinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(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)
MemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
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