/
StatisticFormula.xml
871 lines (778 loc) · 49.8 KB
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StatisticFormula.xml
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<Type Name="StatisticFormula" FullName="System.Web.UI.DataVisualization.Charting.StatisticFormula">
<TypeSignature Language="C#" Value="public class StatisticFormula" />
<TypeSignature Language="ILAsm" Value=".class public auto ansi beforefieldinit StatisticFormula extends System.Object" />
<TypeSignature Language="DocId" Value="T:System.Web.UI.DataVisualization.Charting.StatisticFormula" />
<TypeSignature Language="VB.NET" Value="Public Class StatisticFormula" />
<TypeSignature Language="F#" Value="type StatisticFormula = class" />
<TypeSignature Language="C++ CLI" Value="public ref class StatisticFormula" />
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<Base>
<BaseTypeName>System.Object</BaseTypeName>
</Base>
<Interfaces />
<Docs>
<summary>Calculates statistical formulas.</summary>
<remarks>
<format type="text/markdown"><![CDATA[
## Remarks
Formulas can be loosely grouped into the following categories: distributions, including inverse distributions; tests; and basic statistical formulas. Each group has common characteristics with respect to their input and return values.
]]></format>
</remarks>
</Docs>
<Members>
<Member MemberName="Anova">
<MemberSignature Language="C#" Value="public System.Web.UI.DataVisualization.Charting.AnovaResult Anova (double probability, string inputSeriesNames);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance class System.Web.UI.DataVisualization.Charting.AnovaResult Anova(float64 probability, string inputSeriesNames) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.Anova(System.Double,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function Anova (probability As Double, inputSeriesNames As String) As AnovaResult" />
<MemberSignature Language="F#" Value="member this.Anova : double * string -> System.Web.UI.DataVisualization.Charting.AnovaResult" Usage="statisticFormula.Anova (probability, inputSeriesNames)" />
<MemberSignature Language="C++ CLI" Value="public:
 System::Web::UI::DataVisualization::Charting::AnovaResult ^ Anova(double probability, System::String ^ inputSeriesNames);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Web.UI.DataVisualization.Charting.AnovaResult</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="inputSeriesNames" Type="System.String" />
</Parameters>
<Docs>
<param name="probability">Alpha value. The acceptable input range is between 0 and 1.</param>
<param name="inputSeriesNames">Names of two or more input series. Each series must exist in the series collection at the time of the method call, and have the same number of data points.</param>
<summary>The Anova formula determines the existence or absence of a statistically significant difference between the mean values of two or more groups of data.</summary>
<returns>An <see cref="T:System.Web.UI.DataVisualization.Charting.AnovaResult" /> object.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As AnovaResult = Chart1.DataManipulator.Statistics.Anova(.05, "Series1,Series2,Series3")
```
```csharp
AnovaResult result = Chart1.DataManipulator.Statistics.Anova(.05, "Series1,Series2,Series3");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="BetaFunction">
<MemberSignature Language="C#" Value="public double BetaFunction (double m, double n);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 BetaFunction(float64 m, float64 n) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.BetaFunction(System.Double,System.Double)" />
<MemberSignature Language="VB.NET" Value="Public Function BetaFunction (m As Double, n As Double) As Double" />
<MemberSignature Language="F#" Value="member this.BetaFunction : double * double -> double" Usage="statisticFormula.BetaFunction (m, n)" />
<MemberSignature Language="C++ CLI" Value="public:
 double BetaFunction(double m, double n);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="m" Type="System.Double" />
<Parameter Name="n" Type="System.Double" />
</Parameters>
<Docs>
<param name="m">First value for the beta function.</param>
<param name="n">Second value for the beta function.</param>
<summary>The beta function calculates the beta function value.</summary>
<returns>Beta value.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.BetaFunction(2.3, 6.2)
```
```csharp
double result = Chart1.DataManipulator.Statistics.BetaFunction(2.3, 6.2);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="Correlation">
<MemberSignature Language="C#" Value="public double Correlation (string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 Correlation(string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.Correlation(System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function Correlation (firstInputSeriesName As String, secondInputSeriesName As String) As Double" />
<MemberSignature Language="F#" Value="member this.Correlation : string * string -> double" Usage="statisticFormula.Correlation (firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 double Correlation(System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The correlation formula shows the strength of the relationship that exists between two random variables.</summary>
<returns>Correlation value between the two groups of data.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Remarks
The method throws an exception if the input series do not have the same number of data points.
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.Correlation("Series1", "Series2")
```
```csharp
double result = Chart1.DataManipulator.Statistics.Correlation("Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="Covariance">
<MemberSignature Language="C#" Value="public double Covariance (string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 Covariance(string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.Covariance(System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function Covariance (firstInputSeriesName As String, secondInputSeriesName As String) As Double" />
<MemberSignature Language="F#" Value="member this.Covariance : string * string -> double" Usage="statisticFormula.Covariance (firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 double Covariance(System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The covariance formula measures the degree of dependence that may exist between two random variables.</summary>
<returns>Covariance value between the two groups of data.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Remarks
The method throws an exception if the input series do not have the same number of data points.
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As double = Chart1.DataManipulator.Statistics.Covariance("Series1", "Series2")
```
```csharp
double result = Chart1.DataManipulator.Statistics.Covariance("Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="FDistribution">
<MemberSignature Language="C#" Value="public double FDistribution (double value, int firstDegreeOfFreedom, int secondDegreeOfFreedom);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 FDistribution(float64 value, int32 firstDegreeOfFreedom, int32 secondDegreeOfFreedom) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.FDistribution(System.Double,System.Int32,System.Int32)" />
<MemberSignature Language="VB.NET" Value="Public Function FDistribution (value As Double, firstDegreeOfFreedom As Integer, secondDegreeOfFreedom As Integer) As Double" />
<MemberSignature Language="F#" Value="member this.FDistribution : double * int * int -> double" Usage="statisticFormula.FDistribution (value, firstDegreeOfFreedom, secondDegreeOfFreedom)" />
<MemberSignature Language="C++ CLI" Value="public:
 double FDistribution(double value, int firstDegreeOfFreedom, int secondDegreeOfFreedom);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="value" Type="System.Double" />
<Parameter Name="firstDegreeOfFreedom" Type="System.Int32" />
<Parameter Name="secondDegreeOfFreedom" Type="System.Int32" />
</Parameters>
<Docs>
<param name="value">The F value for which you want the distribution.</param>
<param name="firstDegreeOfFreedom">First degree of freedom.</param>
<param name="secondDegreeOfFreedom">Second degree of freedom.</param>
<summary>The F distribution formula calculates the probability for the F-distribution.</summary>
<returns>Probability for the F distribution.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As double = Chart1.DataManipulator.Statistics.FDistribution(6.31, 15, 7)
```
```csharp
double result = Chart1.DataManipulator.Statistics.FDistribution(6.31, 15, 7);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="FTest">
<MemberSignature Language="C#" Value="public System.Web.UI.DataVisualization.Charting.FTestResult FTest (double probability, string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance class System.Web.UI.DataVisualization.Charting.FTestResult FTest(float64 probability, string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.FTest(System.Double,System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function FTest (probability As Double, firstInputSeriesName As String, secondInputSeriesName As String) As FTestResult" />
<MemberSignature Language="F#" Value="member this.FTest : double * string * string -> System.Web.UI.DataVisualization.Charting.FTestResult" Usage="statisticFormula.FTest (probability, firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 System::Web::UI::DataVisualization::Charting::FTestResult ^ FTest(double probability, System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Web.UI.DataVisualization.Charting.FTestResult</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="probability">The alpha value. The acceptable range is between 0 and 1.</param>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The F-test formula performs a two-sample F-test using F distribution, and is used to see if the samples have different variances.</summary>
<returns>An <see cref="T:System.Web.UI.DataVisualization.Charting.FTestResult" /> object.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Remarks
The method throws an exception if the input series do not have the same number of data points.
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As FTestResult = Chart1.DataManipulator.Statistics.FTest(0.05, "Series1", "Series2")
```
```csharp
FTestResult result = Chart1.DataManipulator.Statistics.FTest(0.05, "Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="GammaFunction">
<MemberSignature Language="C#" Value="public double GammaFunction (double value);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 GammaFunction(float64 value) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.GammaFunction(System.Double)" />
<MemberSignature Language="VB.NET" Value="Public Function GammaFunction (value As Double) As Double" />
<MemberSignature Language="F#" Value="member this.GammaFunction : double -> double" Usage="statisticFormula.GammaFunction value" />
<MemberSignature Language="C++ CLI" Value="public:
 double GammaFunction(double value);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="value" Type="System.Double" />
</Parameters>
<Docs>
<param name="value">Value for which the gamma value is required.</param>
<summary>The gamma function calculates the gamma value.</summary>
<returns>Gamma value.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.GammaFunction(6.2)
```
```csharp
double result = Chart1.DataManipulator.Statistics.GammaFunction(6.2);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="InverseFDistribution">
<MemberSignature Language="C#" Value="public double InverseFDistribution (double probability, int firstDegreeOfFreedom, int secondDegreeOfFreedom);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 InverseFDistribution(float64 probability, int32 firstDegreeOfFreedom, int32 secondDegreeOfFreedom) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.InverseFDistribution(System.Double,System.Int32,System.Int32)" />
<MemberSignature Language="VB.NET" Value="Public Function InverseFDistribution (probability As Double, firstDegreeOfFreedom As Integer, secondDegreeOfFreedom As Integer) As Double" />
<MemberSignature Language="F#" Value="member this.InverseFDistribution : double * int * int -> double" Usage="statisticFormula.InverseFDistribution (probability, firstDegreeOfFreedom, secondDegreeOfFreedom)" />
<MemberSignature Language="C++ CLI" Value="public:
 double InverseFDistribution(double probability, int firstDegreeOfFreedom, int secondDegreeOfFreedom);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="firstDegreeOfFreedom" Type="System.Int32" />
<Parameter Name="secondDegreeOfFreedom" Type="System.Int32" />
</Parameters>
<Docs>
<param name="probability">Probability for the F distribution. The acceptable range is between 0 and 1.</param>
<param name="firstDegreeOfFreedom">First degree of freedom.</param>
<param name="secondDegreeOfFreedom">Second degree of freedom.</param>
<summary>The inverse F distribution formula calculates the inverse of the F cumulative distribution.</summary>
<returns>F value for the F distribution.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.InverseFDistribution(.05, 15, 30)
```
```csharp
double result = Chart1.DataManipulator.Statistics.InverseFDistribution(.05, 15, 30);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="InverseNormalDistribution">
<MemberSignature Language="C#" Value="public double InverseNormalDistribution (double probability);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 InverseNormalDistribution(float64 probability) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.InverseNormalDistribution(System.Double)" />
<MemberSignature Language="VB.NET" Value="Public Function InverseNormalDistribution (probability As Double) As Double" />
<MemberSignature Language="F#" Value="member this.InverseNormalDistribution : double -> double" Usage="statisticFormula.InverseNormalDistribution probability" />
<MemberSignature Language="C++ CLI" Value="public:
 double InverseNormalDistribution(double probability);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="probability" Type="System.Double" />
</Parameters>
<Docs>
<param name="probability">Alpha value. The acceptable input range is between 0 and 1.</param>
<summary>The inverse normal distribution formula calculates the inverse of the standard normal cumulative distribution. The distribution has a mean of 0 and a standard deviation of one.</summary>
<returns>Inverse of the normal distribution function.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As double = Chart1.DataManipulator.Statistics.InverseNormalDistribution(.05)
```
```csharp
double result = Chart1.DataManipulator.Statistics.InverseNormalDistribution(.05);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="InverseTDistribution">
<MemberSignature Language="C#" Value="public double InverseTDistribution (double probability, int degreeOfFreedom);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 InverseTDistribution(float64 probability, int32 degreeOfFreedom) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.InverseTDistribution(System.Double,System.Int32)" />
<MemberSignature Language="VB.NET" Value="Public Function InverseTDistribution (probability As Double, degreeOfFreedom As Integer) As Double" />
<MemberSignature Language="F#" Value="member this.InverseTDistribution : double * int -> double" Usage="statisticFormula.InverseTDistribution (probability, degreeOfFreedom)" />
<MemberSignature Language="C++ CLI" Value="public:
 double InverseTDistribution(double probability, int degreeOfFreedom);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="degreeOfFreedom" Type="System.Int32" />
</Parameters>
<Docs>
<param name="probability">Probability for the *t*-distribution. The acceptable range is between 0 and 1.</param>
<param name="degreeOfFreedom">Degree of freedom.</param>
<summary>The inverse *t*-distribution formula calculates the *t*-value of the Student's *t*-distribution as a function of probability and degrees of freedom.</summary>
<returns>Inverse of the *t*-distribution.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
double result = Chart1.DataManipulator.Statistics.InverseTDistribution(.05, 15)
```
```csharp
double result = Chart1.DataManipulator.Statistics.InverseTDistribution(.05, 15);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="Mean">
<MemberSignature Language="C#" Value="public double Mean (string inputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 Mean(string inputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.Mean(System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function Mean (inputSeriesName As String) As Double" />
<MemberSignature Language="F#" Value="member this.Mean : string -> double" Usage="statisticFormula.Mean inputSeriesName" />
<MemberSignature Language="C++ CLI" Value="public:
 double Mean(System::String ^ inputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="inputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="inputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the data for which the mean value is required.</param>
<summary>The mean formula calculates the average, or mean, of data stored in a data series.</summary>
<returns>Mean value of all the data points in the given series.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Remarks
If named input series does not exist in the <xref:System.Web.UI.DataVisualization.Charting.SeriesCollection> at the time of the method call, an exception is thrown.
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.Mean("Series1")
```
```csharp
double result = Chart1.DataManipulator.Statistics.Mean("Series1");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="Median">
<MemberSignature Language="C#" Value="public double Median (string inputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 Median(string inputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.Median(System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function Median (inputSeriesName As String) As Double" />
<MemberSignature Language="F#" Value="member this.Median : string -> double" Usage="statisticFormula.Median inputSeriesName" />
<MemberSignature Language="C++ CLI" Value="public:
 double Median(System::String ^ inputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="inputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="inputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the data for which the median value is required.</param>
<summary>The median formula calculates the median of the data stored in a data series.</summary>
<returns>Median of all the data points in the given series.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Remarks
If the named input series does not exist in the <xref:System.Web.UI.DataVisualization.Charting.SeriesCollection> at the time of the method call, an exception is thrown.
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.Median("Series1")
```
```csharp
double result = Chart1.DataManipulator.Statistics.Median("Series1");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="NormalDistribution">
<MemberSignature Language="C#" Value="public double NormalDistribution (double zValue);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 NormalDistribution(float64 zValue) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.NormalDistribution(System.Double)" />
<MemberSignature Language="VB.NET" Value="Public Function NormalDistribution (zValue As Double) As Double" />
<MemberSignature Language="F#" Value="member this.NormalDistribution : double -> double" Usage="statisticFormula.NormalDistribution zValue" />
<MemberSignature Language="C++ CLI" Value="public:
 double NormalDistribution(double zValue);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="zValue" Type="System.Double" />
</Parameters>
<Docs>
<param name="zValue">Value for which the normal distribution is required.</param>
<summary>The normal distribution formula calculates the value of the standard normal cumulative distribution. The distribution has a mean of 0 and a standard deviation of 1.</summary>
<returns>Value of the standard normal cumulative distribution.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.NormalDistribution(1.96)
```
```csharp
double result = Chart1.DataManipulator.Statistics.NormalDistribution(1.96);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="TDistribution">
<MemberSignature Language="C#" Value="public double TDistribution (double value, int degreeOfFreedom, bool oneTail);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 TDistribution(float64 value, int32 degreeOfFreedom, bool oneTail) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.TDistribution(System.Double,System.Int32,System.Boolean)" />
<MemberSignature Language="VB.NET" Value="Public Function TDistribution (value As Double, degreeOfFreedom As Integer, oneTail As Boolean) As Double" />
<MemberSignature Language="F#" Value="member this.TDistribution : double * int * bool -> double" Usage="statisticFormula.TDistribution (value, degreeOfFreedom, oneTail)" />
<MemberSignature Language="C++ CLI" Value="public:
 double TDistribution(double value, int degreeOfFreedom, bool oneTail);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="value" Type="System.Double" />
<Parameter Name="degreeOfFreedom" Type="System.Int32" />
<Parameter Name="oneTail" Type="System.Boolean" />
</Parameters>
<Docs>
<param name="value">
<c>t</c>-value for which you want the distribution.</param>
<param name="degreeOfFreedom">Degree of freedom.</param>
<param name="oneTail">If set to <see langword="true" />, one-tailed distribution is used. Otherwise, two-tailed distribution is used.</param>
<summary>The *t*-distribution formula calculates the probability for the Student's *t*-distribution.</summary>
<returns>*t*-distribution function probability.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.TDistribution(1.96, 30, true)
```
```csharp
double result = Chart1.DataManipulator.Statistics.TDistribution(1.96, 30, true);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="TTestEqualVariances">
<MemberSignature Language="C#" Value="public System.Web.UI.DataVisualization.Charting.TTestResult TTestEqualVariances (double hypothesizedMeanDifference, double probability, string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance class System.Web.UI.DataVisualization.Charting.TTestResult TTestEqualVariances(float64 hypothesizedMeanDifference, float64 probability, string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.TTestEqualVariances(System.Double,System.Double,System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function TTestEqualVariances (hypothesizedMeanDifference As Double, probability As Double, firstInputSeriesName As String, secondInputSeriesName As String) As TTestResult" />
<MemberSignature Language="F#" Value="member this.TTestEqualVariances : double * double * string * string -> System.Web.UI.DataVisualization.Charting.TTestResult" Usage="statisticFormula.TTestEqualVariances (hypothesizedMeanDifference, probability, firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 System::Web::UI::DataVisualization::Charting::TTestResult ^ TTestEqualVariances(double hypothesizedMeanDifference, double probability, System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Web.UI.DataVisualization.Charting.TTestResult</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="hypothesizedMeanDifference" Type="System.Double" />
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="hypothesizedMeanDifference">Hypothesized difference between the means of the data groups.</param>
<param name="probability">Alpha value. The acceptable range is between 0 and 1.</param>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The *t*-test with equal variances formula performs a *t*-test using Student's *t*-distribution with equal variances.</summary>
<returns>A <see cref="T:System.Web.UI.DataVisualization.Charting.TTestResult" /> object.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As TTestResult = Chart1.DataManipulator.Statistics.TTestPaired(0.2, 0.05, "Series1", "Series2")
```
```csharp
TTestResult result = Chart1.DataManipulator.Statistics.TTestPaired(0.2, 0.05, "Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="TTestPaired">
<MemberSignature Language="C#" Value="public System.Web.UI.DataVisualization.Charting.TTestResult TTestPaired (double hypothesizedMeanDifference, double probability, string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance class System.Web.UI.DataVisualization.Charting.TTestResult TTestPaired(float64 hypothesizedMeanDifference, float64 probability, string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.TTestPaired(System.Double,System.Double,System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function TTestPaired (hypothesizedMeanDifference As Double, probability As Double, firstInputSeriesName As String, secondInputSeriesName As String) As TTestResult" />
<MemberSignature Language="F#" Value="member this.TTestPaired : double * double * string * string -> System.Web.UI.DataVisualization.Charting.TTestResult" Usage="statisticFormula.TTestPaired (hypothesizedMeanDifference, probability, firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 System::Web::UI::DataVisualization::Charting::TTestResult ^ TTestPaired(double hypothesizedMeanDifference, double probability, System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Web.UI.DataVisualization.Charting.TTestResult</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="hypothesizedMeanDifference" Type="System.Double" />
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="hypothesizedMeanDifference">Hypothesized difference between the means of the data groups.</param>
<param name="probability">Alpha value. The acceptable range is between 0 and 1.</param>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The *t*-test paired formula performs a *t*-test using Student's *t*-distribution with paired samples. This is useful when there is an observed natural pairing in samples (for example, when a sample group is tested twice).</summary>
<returns>A <see cref="T:System.Web.UI.DataVisualization.Charting.TTestResult" /> object.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As TTestResult = Chart1.DataManipulator.Statistics.TTestPaired(0.2, 0.05, "Series1", "Series2")
```
```csharp
TTestResult result = Chart1.DataManipulator.Statistics.TTestPaired(0.2, 0.05, "Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="TTestUnequalVariances">
<MemberSignature Language="C#" Value="public System.Web.UI.DataVisualization.Charting.TTestResult TTestUnequalVariances (double hypothesizedMeanDifference, double probability, string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance class System.Web.UI.DataVisualization.Charting.TTestResult TTestUnequalVariances(float64 hypothesizedMeanDifference, float64 probability, string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.TTestUnequalVariances(System.Double,System.Double,System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function TTestUnequalVariances (hypothesizedMeanDifference As Double, probability As Double, firstInputSeriesName As String, secondInputSeriesName As String) As TTestResult" />
<MemberSignature Language="F#" Value="member this.TTestUnequalVariances : double * double * string * string -> System.Web.UI.DataVisualization.Charting.TTestResult" Usage="statisticFormula.TTestUnequalVariances (hypothesizedMeanDifference, probability, firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 System::Web::UI::DataVisualization::Charting::TTestResult ^ TTestUnequalVariances(double hypothesizedMeanDifference, double probability, System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Web.UI.DataVisualization.Charting.TTestResult</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="hypothesizedMeanDifference" Type="System.Double" />
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="hypothesizedMeanDifference">Hypothesized difference between the means of the data groups.</param>
<param name="probability">Alpha value. The acceptable range is between 0 and 1.</param>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The *t*-test with unequal variances formula performs a *t*-test using Student's *t*-distribution with unequal variances.</summary>
<returns>A <see cref="T:System.Web.UI.DataVisualization.Charting.TTestResult" /> object.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As TTestResult = Chart1.DataManipulator.Statistics.TTestUnEqualVariances(0.2, 0.05, "Series1", "Series2")
```
```csharp
TTestResult result = Chart1.DataManipulator.Statistics.TTestUnEqualVariances(0.2, 0.05, "Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="Variance">
<MemberSignature Language="C#" Value="public double Variance (string inputSeriesName, bool sampleVariance);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance float64 Variance(string inputSeriesName, bool sampleVariance) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.Variance(System.String,System.Boolean)" />
<MemberSignature Language="VB.NET" Value="Public Function Variance (inputSeriesName As String, sampleVariance As Boolean) As Double" />
<MemberSignature Language="F#" Value="member this.Variance : string * bool -> double" Usage="statisticFormula.Variance (inputSeriesName, sampleVariance)" />
<MemberSignature Language="C++ CLI" Value="public:
 double Variance(System::String ^ inputSeriesName, bool sampleVariance);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Double</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="inputSeriesName" Type="System.String" />
<Parameter Name="sampleVariance" Type="System.Boolean" />
</Parameters>
<Docs>
<param name="inputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the data for which the mean value is required.</param>
<param name="sampleVariance">Specify <see langword="true" /> if the data is a sample of a population; and <see langword="false" /> if the data is the entire population.</param>
<summary>The variance formula calculates the variance within a group of data.</summary>
<returns>Variance within the group of data.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As Double = Chart1.DataManipulator.Statistics.Variance("Series1", false)
```
```csharp
TTestResult result = double result = Chart1.DataManipulator.Statistics.Variance("Series1", false);
```
]]></format>
</remarks>
</Docs>
</Member>
<Member MemberName="ZTest">
<MemberSignature Language="C#" Value="public System.Web.UI.DataVisualization.Charting.ZTestResult ZTest (double hypothesizedMeanDifference, double varianceFirstGroup, double varianceSecondGroup, double probability, string firstInputSeriesName, string secondInputSeriesName);" />
<MemberSignature Language="ILAsm" Value=".method public hidebysig instance class System.Web.UI.DataVisualization.Charting.ZTestResult ZTest(float64 hypothesizedMeanDifference, float64 varianceFirstGroup, float64 varianceSecondGroup, float64 probability, string firstInputSeriesName, string secondInputSeriesName) cil managed" />
<MemberSignature Language="DocId" Value="M:System.Web.UI.DataVisualization.Charting.StatisticFormula.ZTest(System.Double,System.Double,System.Double,System.Double,System.String,System.String)" />
<MemberSignature Language="VB.NET" Value="Public Function ZTest (hypothesizedMeanDifference As Double, varianceFirstGroup As Double, varianceSecondGroup As Double, probability As Double, firstInputSeriesName As String, secondInputSeriesName As String) As ZTestResult" />
<MemberSignature Language="F#" Value="member this.ZTest : double * double * double * double * string * string -> System.Web.UI.DataVisualization.Charting.ZTestResult" Usage="statisticFormula.ZTest (hypothesizedMeanDifference, varianceFirstGroup, varianceSecondGroup, probability, firstInputSeriesName, secondInputSeriesName)" />
<MemberSignature Language="C++ CLI" Value="public:
 System::Web::UI::DataVisualization::Charting::ZTestResult ^ ZTest(double hypothesizedMeanDifference, double varianceFirstGroup, double varianceSecondGroup, double probability, System::String ^ firstInputSeriesName, System::String ^ secondInputSeriesName);" />
<MemberType>Method</MemberType>
<AssemblyInfo>
<AssemblyName>System.Web.DataVisualization</AssemblyName>
<AssemblyVersion>4.0.0.0</AssemblyVersion>
</AssemblyInfo>
<ReturnValue>
<ReturnType>System.Web.UI.DataVisualization.Charting.ZTestResult</ReturnType>
</ReturnValue>
<Parameters>
<Parameter Name="hypothesizedMeanDifference" Type="System.Double" />
<Parameter Name="varianceFirstGroup" Type="System.Double" />
<Parameter Name="varianceSecondGroup" Type="System.Double" />
<Parameter Name="probability" Type="System.Double" />
<Parameter Name="firstInputSeriesName" Type="System.String" />
<Parameter Name="secondInputSeriesName" Type="System.String" />
</Parameters>
<Docs>
<param name="hypothesizedMeanDifference">Hypothesized difference between the means of the data groups.</param>
<param name="varianceFirstGroup">Variance within the first group of data.</param>
<param name="varianceSecondGroup">Variance within the second group of data.</param>
<param name="probability">Alpha value. The acceptable range is between 0 and 1.</param>
<param name="firstInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the first group's data.</param>
<param name="secondInputSeriesName">Name of the <see cref="P:System.Web.UI.DataVisualization.Charting.Chart.Series" /> object that stores the second group's data.</param>
<summary>The Z-test formula performs a Z-test using normal distribution.</summary>
<returns>A <see cref="T:System.Web.UI.DataVisualization.Charting.ZTestResult" /> object.</returns>
<remarks>
<format type="text/markdown"><![CDATA[
## Examples
The following code demonstrates how to use this formula.
```vb
Dim result As ZTestResult = Chart1.DataManipulator.Statistics.ZTest(0.2, 2.5, 4.5, 0.05, "Series1", "Series2")
```
```csharp
ZTestResult result = Chart1.DataManipulator.Statistics.ZTest(0.2, 2.5, 4.5, 0.05, "Series1", "Series2");
```
]]></format>
</remarks>
</Docs>
</Member>
</Members>
</Type>