# FINV

#### Defintion

Returns the inverse of the (right-tailed) F probability distribution. If p = FDIST(x,...), then FINV(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.

#### Sample Usage

#### Syntax

FINV(probability,deg_freedom1,deg_freedom2)

The FINV 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, FINV returns the #VALUE! error value.

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

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

If deg_freedom1 < 1 or deg_freedom1 ≥ 10^10, FINV returns the #NUM! error value.

If deg_freedom2 < 1 or deg_freedom2 ≥ 10^10, FINV returns the #NUM! error value.

FINV can be used to return critical values from the F distribution. For example, the output of an ANOVA calculation often includes data for the F statistic, F probability, and F critical value at the 0.05 significance level. To return the critical value of F, use the significance level as the probability argument to FINV.

Given a value for probability, FINV seeks that value x such that FDIST(x, deg_freedom1, deg_freedom2) = probability. Thus, precision of FINV depends on precision of FDIST. FINV uses an iterative search technique. If the search has not converged after 100 iterations, the function returns the #N/A error value.

#### In order to use the Finv formula, start with your edited Excellentable:

#### Then type in the Finv formula in the area you would like to display the outcome:

#### By adding the values you would like to calculate the Finv formula for, Excellentable will generate the outcome: