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BartlettTest Class |
Inheritance HierarchyAccord.Statistics.TestingHypothesisTestChiSquareDistribution
Accord.Statistics.TestingChiSquareTest
Accord.Statistics.TestingBartlettTest
Namespace: Accord.Statistics.Testing
Assembly: Accord.Statistics (in Accord.Statistics.dll) Version: 3.8.0
SyntaxThe BartlettTest type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | BartlettTest |
Tests the null hypothesis that all group variances are equal.
|
Properties| Name | Description | |
|---|---|---|
 | CriticalValue |
Gets the critical value for the current significance level.
(Inherited from HypothesisTestTDistribution.) |
| DegreesOfFreedom |
Gets the degrees of freedom for the Chi-Square distribution.
(Inherited from ChiSquareTest.) |
| PValue |
Gets the P-value associated with this test.
(Inherited from HypothesisTestTDistribution.) |
| Significant |
Gets whether the null hypothesis should be rejected.
(Inherited from HypothesisTestTDistribution.) |
| Size |
Gets the significance level for the
test. Default value is 0.05 (5%).
(Inherited from HypothesisTestTDistribution.) |
| Statistic |
Gets the test statistic.
(Inherited from HypothesisTestTDistribution.) |
| StatisticDistribution |
Gets the distribution associated
with the test statistic.
(Inherited from HypothesisTestTDistribution.) |
| Tail |
Gets the test type.
(Inherited from HypothesisTestTDistribution.) |
Methods| Name | Description | |
|---|---|---|
 | Compute |
Computes the Chi-Square Test.
(Inherited from ChiSquareTest.) |
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) |
| Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) |
| GetHashCode | Serves as the default hash function. (Inherited from Object.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) |
| OnSizeChanged |
Called whenever the test significance level changes.
(Inherited from HypothesisTestTDistribution.) |
| PValueToStatistic |
Converts a given p-value to a test statistic.
(Inherited from ChiSquareTest.) |
| StatisticToPValue |
Converts a given test statistic to a p-value.
(Inherited from ChiSquareTest.) |
| ToString |
Converts the numeric P-Value of this test to its equivalent string representation.
(Inherited from HypothesisTestTDistribution.) |
| ToString(String, IFormatProvider) |
Converts the numeric P-Value of this test to its equivalent string representation.
(Inherited from HypothesisTestTDistribution.) |
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.) |
RemarksIn statistics, Bartlett's test is used to test if k samples are from populations with equal variances. Equal variances across samples is called homoscedasticity or homogeneity of variances. Some statistical tests, for example the analysis of variance, assume that variances are equal across groups or samples. The Bartlett test can be used to verify that assumption.
Bartlett's test is sensitive to departures from normality. That is, if the samples come from non-normal distributions, then Bartlett's test may simply be testing for non-normality. Levene's test and the Brown–Forsythe test are alternatives to the Bartlett test that are less sensitive to departures from normality.
References:
- Wikipedia, The Free Encyclopedia. Bartlett's test. Available on: http://en.wikipedia.org/wiki/Bartlett's_test
See Also