# F.INV

The F.INV function calculates the inverse of the F probability distribution. It is commonly used in statistical analysis to find the value at which the cumulative distribution function of an F-distribution equals a specified probability.

## Syntax

=F.INV(`probability`

, `degrees_freedom1`

, `degrees_freedom2`

)

`probability` | The probability for which you want to find the inverse F-distribution value. |

`degrees_freedom1` | The number of degrees of freedom in the numerator. |

`degrees_freedom2` | The number of degrees of freedom in the denominator. |

## About F.INV

When venturing into the realm of statistical analysis and grappling with the nuances of probability distributions, the F.INV function in Excel emerges as a dependable ally. This function proves invaluable for discerning the inverse value of the F-distribution, aiding in the determination of critical statistical thresholds based on specified probabilities. By leveraging the F.INV function, users can extract critical values essential for hypothesis testing and variance analysis, enriching the analytical toolkit with its precise calculations and strategic insights.

## Examples

Assume you are conducting an analysis with degrees of freedom 5 and 10, and you wish to find the inverse of the F-distribution value corresponding to a probability of 0.05. The F.INV formula would be: =F.INV(0.05, 5, 10). This will return the F-distribution value at the specified probability level.

Suppose you are examining the performance of two independent groups in a study with degrees of freedom 3 and 6. To determine the critical F-value for a probability of 0.01, you would use the formula: =F.INV(0.01, 3, 6). This computation reveals the threshold value crucial for assessing the significance of the observed differences between the groups.

## Questions

**How does the F.INV function differ from the F.DIST function?**

While the F.INV function calculates the inverse of the F probability distribution, providing critical values based on specified probabilities, the F.DIST function yields the probability that an observation from an F-distribution falls below a specified value.

**Can the F.INV function handle non-integer degrees of freedom?**

No, the F.INV function requires that the degrees of freedom provided are positive integers. It is tailored to scenarios involving discrete, whole number degrees of freedom for precise statistical calculations.

**In what statistical scenarios is the F.INV function commonly utilized?**

The F.INV function finds widespread application in hypothesis testing, analysis of variance (ANOVA), and regression analysis. It aids in determining critical values crucial for assessing the significance of observed differences and relationships in statistical data.

## Related functions

F.DIST F.TEST CONFIDENCE.T NORM.INV T.INV