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The Excel F.INV Function

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Basic Description

The Excel F.INV.RT function calculates the inverse of the Cumulative F Distribution for a supplied probability.

The function is new to Excel 2010 and so is not available in earlier versions of Excel.

The format of the function is :

F.INV( probability, deg_freedom1, deg_freedom2 )

Where the function arguments are:


probability - The probability (between 0 and 1) at which to evaluate the inverse Cumulative F Distribution
deg_freedom1 - An integer specifying the numerator degrees of freedom
deg_freedom2 - An integer specifying the denominator degrees of freedom

If either deg_freedom1 or deg_freedom2 are decimal numbers, these are truncated to integers by Excel.

The Excel F.Inv function is the inverse of the Cumulative form of the Excel F.Dist function.

I.e. if
probability = F.DIST( x, deg_freedom1, deg_freedom2, True )
then
x = F.INV( probability, deg_freedom1, deg_freedom2 )

F.Inv Function Example

The chart on the right shows the inverse of the right-tailed F Probability Distribution with the numerator degrees of freedom equal to 2 and the denominator degrees of freedom equal to 5.

If you want to calculate the value of this function for a probability equal to 0.9, this can be done using the Excel F.Inv function, as follows:

=F.INV( 0.9, 2, 5 )

This gives the result 3.779716079.

Plot of the Inverse Cumulative F Distribution with numerator degrees of freedom = 2 and denominator degrees of freedom = 5
Inverse Cumulative F Dist., deg_freedom1 = 2 & deg_freedom2 = 5

Further information and examples of the Excel F.Inv function can be found on the Microsoft Office website.


Trouble Shooting

If you get an error from the Excel F.Inv function this is likely to be one of the following :

Common Errors
#NUM! - Occurs if either:
- the supplied probability value is < 0 or ≥ 1
or
- the supplied deg_freedom1 or the deg_freedom2 argument is < 1
#VALUE! - Occurs if any of the supplied arguments are non-numeric




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