FINV Function

Basic Description

The Excel FINV function calculates the inverse of the (right-tailed) F Probability Distribution for a supplied probability.

Syntax: FINV( probability, deg_freedom1, deg_freedom2 )

Where the function arguments are listed in the table below:

probability The probability (between 0 and 1) at which to evaluate the inverse F Probability 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 Finv function is the inverse of the Excel FDIST function.

I.e. if
FDIST( x, deg_freedom1, deg_freedom2 ) = probability
then
x = FINV( probability, deg_freedom1, deg_freedom2 )

 

Finv Function Example

Plot of the Inverse F Probability Distribution with numerator degrees of freedom = 1 and denominator degrees of freedom = 2

Inverse F Prob. Dist. with deg_freedom1 = 1 & deg_freedom2 = 2

The chart on the right shows the inverse of the right-tailed F Probability Distribution with the numerator degrees of freedom equal to 1 and the denominator degrees of freedom equal to 2. If you want to use Excel to calculate the value of this function for a probability equal to 0.2, this can be done by the Finv function, as follows:

=FINV( 0.2, 1, 2 )

This gives the result 3.555555556.

 

Finv Function Common Errors

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

#NUM! Occurs if either the supplied probability value is ≤ 0 or > 1 or the supplied deg_freedom1 or the deg_freedom2 argument is < 1 or ≥ 10^10
#VALUE! Occurs if any of the supplied arguments are non-numeric

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