Dundas Chart for Windows Forms
Inverse F Distribution Formula
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Formula Reference > Statistical Formulas > Inverse F Distribution Formula



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Overview

Enterprise Edition Only Feature.

Returns the inverse of the F cumulative distribution.

Applying the Formula

All statistical formulas are calculated using the Statistics class, and the following table describes how to use its  InverseFDistribution method.

 

Value/Description Example
Formula Name: F Distribution Statistics.InverseFDistribution (.05, 15, 30)
Parameters:
  1. probability: the alpha value (probability).
  2. firstDegreeOfFreedom: an integer value that represents the first degree of freedom.
  3. secondDegreeOfFreedom: an integer value that represents the second degree of freedom.
Statistics.InverseFDistribution(.05, 15, 30)
Return: A double that represents the F value for the distribution.

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Statistical Interpretation

Suppose  and  are the observed variances for two samples, of sizes n and m, drawn from normal populations with variances  and  , respectively. We can test the null hypothesis that  by calculating the distribution of the variance ratio.

 


Figure 1: F Distribution.

 

Example

The following sample calculates the F value for the given F distribution probability.

Visual Basic Copy Code
Imports Dundas.Charting.WinControl
  ...
  
' Calculate the F value.
Dim result As Double = Chart1.DataManipulator.Statistics.InverseFDistribution(.05, 15, 30)
C# Copy Code
using Dundas.Charting.WinControl;
  ...
  
// Calculate the F value.
double result = Chart1.DataManipulator.Statistics.InverseFDistribution(.05, 15, 30);

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