F.INV.RT
TheF.INV.RT
function returns the inverse of the F probability distribution. It is commonly used in hypothesis testing to determine the critical value at which the null hypothesis can be rejected. The function takes three arguments: the probability value, and the two degrees of freedom values.
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Usage
Use the F.INV.RT
formula with the syntax shown below, it has 3 required parameters:
 probability (required):
The probability value between 0 and 1 for which you want to find the inverse of the F probability distribution.  degrees_freedom1 (required):
The numerator degrees of freedom value.  degrees_freedom2 (required):
The denominator degrees of freedom value.
Examples
Here are a few example use cases that explain how to use theF.INV.RT
formula in Google Sheets.
Critical value determination
Suppose you have a data set and you want to test whether two population variances are equal. You could use the F.TEST
function to calculate the F statistic, and then use the F.INV.RT
function to determine the critical value for a given level of significance and degrees of freedom. If the calculated F statistic is greater than the critical value, you can reject the null hypothesis that the variances are equal.
Regression analysis
In regression analysis, the F.INV.RT
function can be used to calculate the F statistic for the overall significance of a regression model. The function can also be used to calculate the critical value for a given level of significance and degrees of freedom.
ANOVA
In ANOVA (Analysis of Variance), the F.INV.RT
function can be used to calculate the critical value for a given level of significance and degrees of freedom. This can be used to test the null hypothesis that the means of multiple groups are equal.
Common Mistakes
F.INV.RT
not working? Here are some common mistakes people make when using the F.INV.RT
Google Sheets Formula:
Incorrect probability input
Users often input a probability value that is outside the range of 0 and 1. This formula requires a probability value between 0 and 1.
Incorrect degrees of freedom input
Users sometimes input the degrees of freedom values in the wrong order or input nonnumeric values. This formula requires two numeric values for degrees of freedom, with the first value being greater than 0.
Incorrect formula name
Users sometimes misspell the formula name or confuse it with similar formulas. This formula is called F.INV.RT in Google Sheets.
Missing arguments
Users sometimes forget to input all three required arguments. This formula requires a probability value, and two degrees of freedom values.
Incorrect cell references
Users sometimes reference the wrong cells or ranges for the input arguments. Doublecheck the cell references to ensure they are correct.
Related Formulas
The following functions are similar to F.INV.RT
or are often used with it in a formula:

F.DIST.RT
The
F.DIST.RT
function calculates the righttailed F probability distribution. It returns the probability that the observed Fratio is greater than the critical value for a given degrees of freedom. This function is commonly used in hypothesis testing to determine the significance of the difference between the variances of two data sets. 
F.TEST
The
F.TEST
function returns the result of an Ftest, which tests the equality of variances between two datasets. It is commonly used to compare the variances of two datasets to determine if they are significantly different. If the result is less than or equal to a critical value, the variances are considered equal. If the result is greater than the critical value, the variances are considered unequal. 
T.INV
The
T.INV
function returns the inverse of the Student's tdistribution for the provided probability and degrees of freedom. This function is commonly used to calculate a critical value from the tdistribution when working with small sample sizes. 
CHISQ.INV.RT
The
CHISQ.INV.RT
function returns the inverse of the righttailed probability of the chisquared distribution. It is commonly used in hypothesis testing and goodnessoffit analysis to determine whether an observed set of data is significantly different from a theoretical distribution. The function takes two arguments: the probability and the degrees of freedom.
Learn More
You can learn more about the F.INV.RT
Google Sheets function on Google Support.