F.DIST Function

Calculates the probability density function or the Cumulative Distribution Function for the F Distribution

What is the F Distribution Function?

The F.DIST function is categorized under Statistical functions. It will calculate the probability density function or the Cumulative Distribution Function for the F Distribution. It measures the degree of diversity between two data sets.

For example, if we wish to find out the variability in the IQ scores of females vis-à-vis males, we can use the F.DIST function to examine it.

As a financial analyst, the function is useful in risk management. We can use it to understand and evaluate the extent of losses that a portfolio can suffer.

 

F Distribution Formula

=F.DIST(x,deg_freedom1,deg_freedom2,cumulative)

 

The F.DIST function uses the following arguments:

  1. X (required argument) – It is the value at which we evaluate the function.
  2. Deg_freedom1 (required argument) – It is an integer specifying numerator degrees of freedom.
  3. Deg_freedom2 (required argument) – It is an integer specifying denominator degrees of freedom.
  4. Cumulative (required argument) – It is a logical value that determines the type of F distribution to be calculated. It can either be TRUE (uses the cumulative distributive function) and FALSE (uses the probability density function).

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How to use the F Distribution Function in Excel?

To understand the uses of the F.DIST function, let us consider an example:

 

Example

Suppose we are given the following data:

  • Value at which we wish to evaluate the function: 14.569
  • Numerator degree of freedom: 4
  • Denominator degree of freedom: 2

 

To find out the F probability using the cumulative distribution function, which is the TRUE cumulative argument, we will use the following formula:

 

F.DIST F Distribution Example

 

We get the result below:

 

F.DIST - Example 1

 

To find out the F probability using the probability density function, which is the FALSE cumulative argument, we will use the following formula:

 

F.DIST - Example 1a

 

We get the result below:

 

F.DIST - Example 1b

 

Things to remember about the F.DIST Function 

  1. If either deg_freedom1 or deg_freedom2 is a decimal number, it is truncated to integers by Excel.
  2. #NUM! error – Occurs if either:
    1. The value of x provided is less than 0.
    2. The argument deg_freedom1 or deg_freedom2 is less than 1.
  3. #VALUE! error – Occurs when any of the arguments provided is non-numeric.

 

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Additional resources

Thanks for reading CFI’s guide to important Excel functions! By taking the time to learn and master these functions, you’ll significantly speed up your financial analysis. To learn more, check out these additional resources:

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