F.INV function

This article describes the formula syntax and usage of the F.INV  function in Microsoft Excel.

Description

Returns the inverse of the F probability distribution. If p = F.DIST(x,...), then F.INV(p,...) = x. The F distribution can be used in an F-test that compares the degree of variability in two data sets. For example, you can analyze income distributions in the United States and Canada to determine whether the two countries have a similar degree of income diversity.

Syntax

F.INV(probability,deg_freedom1,deg_freedom2)

The F.INV function syntax has the following arguments:

• Probability     Required. A probability associated with the F cumulative distribution.

• Deg_freedom1     Required. The numerator degrees of freedom.

• Deg_freedom2     Required. The denominator degrees of freedom.

Remarks

• If any argument is nonnumeric, F.INV returns the #VALUE! error value.

• If probability < 0 or probability > 1, F.INV returns the #NUM! error value.

• If deg_freedom1 or deg_freedom2 is not an integer, it is truncated.

• If deg_freedom1 < 1, or deg_freedom2 < 1, F.INV returns the #NUM! error value.

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data	Description
0.01	Probability associated with the F cumulative distribution
6	Numerator degrees of freedom
4	Denominator degrees of freedom
Formula	Description	Result
=F.INV(A2,A3,A4)	Inverse of the F probability distribution for the terms above	0.10930991

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