Represents a test that the population population mean of a
NumericalVariable is equal to a specific value
when the population variance is known.
Namespace: Extreme.Statistics.Tests
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
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Public NotInheritable Class OneSampleZTest _ Inherits OneSampleTest |
| C# |
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public sealed class OneSampleZTest : OneSampleTest |
| C++ |
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public ref class OneSampleZTest sealed : public OneSampleTest |
Methods
| Icon | Type | Description |
|---|---|---|
| CalculateStatistic() |
Calculates the value of the statistic used for this test.
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| Equals(Object) | ||
| Finalize() | ||
| GetConfidenceInterval(Double) |
Returns the confidence interval for the mean corresponding to the specified confidence level.
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| GetHashCode() | Serves as a hash function for a particular type. | |
| GetLowerCriticalValue() |
Gets the lower critical value for the hypothesis test's current significance level.
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| GetLowerCriticalValue(Double) |
Gets the lower critical value for the hypothesis test at the specified significance level.
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| GetType() | Gets the Type of the current instance. | |
| GetUpperCriticalValue() |
Gets the upper critical value for the test statistic at the hypothesis test's current significance level.
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| GetUpperCriticalValue(Double) |
Gets the upper critical value for the test statistic at the specified significance level.
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| MemberwiseClone() | Creates a shallow copy of the current Object. | |
| Reject() |
Returns a value that indicates whether the null hypothesis is rejected
using the default significance level.
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| Reject(Double) |
Returns a value that indicates whether the null hypothesis is rejected using the specified significance level.
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| ToString() |
Constructors
| Icon | Type | Description |
|---|---|---|
| OneSampleZTestNew(Double, Int32, Double, Double) |
Constructs a new OneSampleZTest for the
specified NumericalVariable with known
standard deviation.
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| OneSampleZTestNew(Double, Int32, Double, Double, HypothesisType) |
Constructs a new OneSampleZTest for the
specified NumericalVariable with known
standard deviation.
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| OneSampleZTestNew() |
Constructs a new OneSampleZTest.
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| OneSampleZTestNew(NumericalVariable, Double, Double) |
Constructs a new OneSampleZTest for the
specified NumericalVariable with known
standard deviation.
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| OneSampleZTestNew(NumericalVariable, Double, Double, HypothesisType) |
Constructs a new OneSampleZTest for the
specified NumericalVariable with known
standard deviation.
|
Properties
| Icon | Type | Description |
|---|---|---|
| Distribution |
Sets the probability distribution used in the hypothesis test.
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| HypothesisType |
Gets or sets a value that indicates whether the test is one or two-tailed.
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| PopulationMean |
Gets or sets the mean of the population from which the sample was drawn.
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| PopulationStandardDeviation |
Gets or sets the standard deviation of the population from which the sample was drawn.
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| PValue |
Gets the probability that the test statistic would take on the calculated value under the null hypothesis.
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| Sample |
Gets or sets the variable the test is to be applied to.
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| SampleMean |
Gets or sets the mean of the sample.
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| SampleSize |
Gets or sets the size of the sample.
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| SignificanceLevel |
Gets the significance level used to test the null hypothesis.
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| Statistic |
Gets the value of the test statistic.
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Remarks
Use the OneSampleZTest class to test the hypothesis that
a sample comes from a normal population with specified population mean
and variance.
The sample data can be supplied either as a NumericalVariable, or by specifying the SampleMean and the SampleSize.
A confidence interval for the variance of the sample can be obtained using the GetConfidenceInterval(Double) method.
When the population variance is not known, a OneSampleTTest can be used. To compare two sample means, use a TwoSampleTTest.
Inheritance Hierarchy
System.Object
Extreme.Statistics.Tests.HypothesisTest
Extreme.Statistics.Tests.OneSampleTest
Extreme.Statistics.Tests.OneSampleZTest
Extreme.Statistics.Tests.HypothesisTest
Extreme.Statistics.Tests.OneSampleTest
Extreme.Statistics.Tests.OneSampleZTest