The Excel F.INV.RT Function

Related Functions:

Basic Description

The Excel F.INV.RT function calculates the inverse of the (right-tailed) F Probability Distribution for a specified probability.

The function is new to Excel 2010 and so is not available in earlier versions of Excel. However the F.Inv.Rt function is simply a new version of the Finv function, which is available in earlier versions of Excel.

The format of the function is :

F.INV.RT( probability, deg_freedom1, deg_freedom2 )

Where the function arguments are:

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

Note that, if either deg_freedom1 or deg_freedom2 are decimal numbers, these are truncated to integers by Excel.

The Excel F.Inv.Rt function is the inverse of the Excel F.Dist.Rt function.

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

F.Inv.Rt 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 above 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 calculate the value of this function for a probability value of 0.2, this can be done using the Excel F.Inv.Rt function, as follows:

=F.INV.RT( 0.2, 1, 2 )

This gives the result 3.555555556.

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

Trouble Shooting

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

Common Errors

Occurs if either:

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