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)
Public NotInheritable Class OneSampleZTest _
	Inherits OneSampleTest
C#
public sealed class OneSampleZTest : OneSampleTest
C++
public ref class OneSampleZTest sealed : public OneSampleTest

Methods

IconTypeDescription
CalculateStatistic()
Calculates the value of the statistic used for this test.
Equals(Object)
Determines whether the specified Object is equal to the current Object.
Finalize()
Allows an Object to attempt to free resources and perform other cleanup operations before the Object is reclaimed by garbage collection.
GetConfidenceInterval(Double)
Returns the confidence interval for the mean corresponding to the specified confidence level.
GetHashCode()
Serves as a hash function for a particular type.
GetLowerCriticalValue()
Gets the lower critical value for the hypothesis test's current significance level.
GetLowerCriticalValue(Double)
Gets the lower critical value for the hypothesis test at the specified significance level.
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.
GetUpperCriticalValue(Double)
Gets the upper critical value for the test statistic at the specified significance level.
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.
Reject(Double)
Returns a value that indicates whether the null hypothesis is rejected using the specified significance level.
ToString()
Returns a String that represents the current Object.

Constructors

IconTypeDescription
OneSampleZTestNew(Double, Int32, Double, Double)
Constructs a new OneSampleZTest for the specified NumericalVariable with known standard deviation.
OneSampleZTestNew(Double, Int32, Double, Double, HypothesisType)
Constructs a new OneSampleZTest for the specified NumericalVariable with known standard deviation.
OneSampleZTestNew()
Constructs a new OneSampleZTest.
OneSampleZTestNew(NumericalVariable, Double, Double)
Constructs a new OneSampleZTest for the specified NumericalVariable with known standard deviation.
OneSampleZTestNew(NumericalVariable, Double, Double, HypothesisType)
Constructs a new OneSampleZTest for the specified NumericalVariable with known standard deviation.

Properties

IconTypeDescription
Distribution
Sets the probability distribution used in the hypothesis test.
HypothesisType
Gets or sets a value that indicates whether the test is one or two-tailed.
PopulationMean
Gets or sets the mean of the population from which the sample was drawn.
PopulationStandardDeviation
Gets or sets the standard deviation of the population from which the sample was drawn.
PValue
Gets the probability that the test statistic would take on the calculated value under the null hypothesis.
Sample
Gets or sets the variable the test is to be applied to.
SampleMean
Gets or sets the mean of the sample.
SampleSize
Gets or sets the size of the sample.
SignificanceLevel
Gets the significance level used to test the null hypothesis.
Statistic
Gets the value of the test statistic.

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

See Also